1. science
2. mathematics
3. algebra

GLENCOE
MATHEMATICS
Grade
Includes:
• Grade 8 Oklahoma Priority
Academic Student Skills
Content Standards
• Diagnostic Test
• Numerous Practice Questions
for Each Content Standard
• 2 Full-Size Sample Tests
• Student Recording Chart
8
Test-Taking Tips
• Go to bed early the night before the test. You will think more clearly after
a good night’s rest.
• Read each problem carefully and think about ways to solve the problem
before you try to answer the question.
• Relax. Most people get nervous when taking a test. It’s natural. Just do
your best.
• Answer questions you are sure about first. If you do not know the answer
to a question, skip it and go back to that question later.
• Think positively. Some problems may seem hard to you, but you may be
able to figure out what to do if you read each question carefully.
• If no figure is provided, draw one. If one is furnished, mark it up to help
you solve the problem.
• When you have finished each problem, reread it to make sure your answer
is reasonable.
• Become familiar with a variety of formulas and when they should be
used.
• Make sure that the number of the question on the answer sheet matches
the number of the question on which you are working in your test booklet.
Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under
the United States Copyright Act, no part of this publication may be reproduced or distributed in
any form or by any means, or stored in a database or retrieval system, without prior permission of
the publisher.
Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027
ISBN: 0-07-860448-6
Oklahoma Core Curriculum Test Practice and Sample Test Workbook,
Grade 8
Printed in the United States of America.
2 3 4 5 6 7 8 9 10 024 12 11 10 09 08 07 06 05 04 03
Table of Contents
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv
Student Recording Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Oklahoma PASS Mathematics Content Standards, Grade 8 . . . . . . . . . . . vi
Test Practice
Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Copyright © Glencoe/McGraw-Hill
Practice by Content Standard
Standard 1.1.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Standard 1.1.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Standard 1.1.c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Standard 1.2.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Standard 1.2.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Standard 2.1.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Standard 2.1.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Standard 2.1.c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
Standard 2.2.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
Standard 2.2.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Standard 2.2.c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Standard 3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Standard 3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
Standard 4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
Standard 4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
Standard 4.3.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Standard 4.3.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Standard 5.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Standard 5.2.a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
Standard 5.2.b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Test Practice
Sample Test 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
Sample Test 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
OK Core Curriculum Test Practice and Sample Test Workbook
iii
Overview
The material in this booklet is designed to help you prepare for the Grade 8
Oklahoma Core Curriculum Test (OCCT).
It contains:
• a Student Recording Chart,
• the Oklahoma PASS Mathematics Content Standards for Grade 8,
• a Diagnostic Test,
• practice for each Content Standard, and
• two Sample Tests.
How to Use This Workbook
Diagnostic Test This test will help you identify any weaknesses you may have
as you prepare to take the Grade 8 OCCT. Once you’ve taken the test and it’s
been graded, complete the Student Recording Chart that is found on page v.
Mark an X in the square for each question that you answered incorrectly.
Practice If you missed one or two of the questions for a particular content
standard, you could probably use some extra practice with that standard. The
Student Recording Chart lists practice pages for each standard. Complete the
appropriate practice pages. If you are unsure about how to do some of the
problems, you may want to refer to your mathematics book.
Copyright © Glencoe/McGraw-Hill
Sample Test After you have completed your practice worksheets, take one or
both of the Sample Tests on pages 85 to 108.
iv OK Core Curriculum Test Practice and Sample Test Workbook
Name
Student Recording Chart
Directions Mark an X by each question from the Diagnostic Test that you
answered incorrectly. If there are one or two Xs marked for a standard, write
Yes in the Need Practice? box. Then complete the practice pages for that
standard.
Standard 1: Algebraic Reasoning
Standard
1.1.a
1.1.b
1.1.c
1.2.a
1.2.b
Test Questions
16 25 45 32 38 22 29 9
14 13–16
17–20
21–24
25–28
29–32
Need Practice?
Practice Pages
Standard 2: Number Sense
Standard
2.1.a
2.1.b
2.1.c
2.2.a
2.2.b
2.2.c
Test Questions
23 30 39 33 40 24 35 34 41 17 33–36
37–40
41–44
45–48
49–52
53–56
Need Practice?
Practice Pages
Standard 3: Geometry
Standard
Test Questions
3.1
3.2
3.3
3.4.a
3.4.b
1
5
15 26 10 18 36 44 6
12 21 37 2
7
31 42 57–59
60–61
65–68
69–72
73–76
Need Practice?
Copyright © Glencoe/McGraw-Hill
Practice Pages
Standard 4: Measurement
Standard
Test Questions
4.1
4.2
4.3.a
4.3.b
10 18 36 44 6
12 21 37 2
7
31 42 62–64
65–68
69–72
73–76
Standard 5: Data Analysis
and Statistics
Standard
Test Questions
Need Practice?
Practice Pages
5.1
5.2.a
5.2.b
3
8
11 19 43 13 20 27 4
28 77–80
81–84
83–84
Need Practice?
Practice Pages
OK Core Curriculum Test Practice and Sample Test Workbook
v
Oklahoma PASS Mathematics
Content Standards, Grade 8
Content Standards
Standard 1: Algebraic Reasoning—The student will graph and solve linear equations
and inequalities in problem-solving situations.
1. Equations
a. Model, write, and solve 2-step linear equations using a variety of methods.
b. Graph and interpret the solution to linear equations on a number line with one variable and on a
coordinate plane with two variables.
c. Predict the effect on the graph of a linear equation when the slope changes (e.g., make predictions from
graphs, identify the slope in the equation y mx b and relate to a graph).
2. Inequalities
a. Model, write, and solve 1-step and 2-step linear inequalities with one variable.
b. Graph the solution to linear inequalities with one variable on a number line.
Standard 2: Number Sense—The student will use numbers and number relationships
to solve problems.
1. Rational Numbers and Proportional Reasoning
a. Compare and order rational numbers (positive and negative integers, fractions, decimals) in real-life
situations.
b. Use the basic operations on rational numbers to solve problems in real-life situations (e.g., describe the
effect of multiplying whole numbers by a fraction of a decimal less than 1).
c. Apply ratios and proportions to solve problems.
2. Exponents
a. Use the rules of exponents, including integer exponents, to solve problems (e.g., 72 73 75).
b. Represent and interpret large numbers and numbers less than one in exponential and scientific notation.
c. Use estimation strategies (e.g., rounding) to describe the magnitude of large numbers and numbers less
than one.
1. Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids,
prisms, cones, cylinders, pyramids, and combined forms (e.g., draw a figure that could result from making
1, 2, or 3 cuts in a given solid).
2. Develop the Pythagorean Theorem and apply the formula to find the length of missing sides of a right
triangle and the length of other line segments.
Standard 4: Measurement—The student will use measurement to solve problems in a
variety of contexts.
1. Estimate and find the surface area and volume in real world settings (e.g., unwrap a box to explore surface
area; use rice, 1-inch cubes, centimeter cubes, cups… to estimate the volume of boxes, irregular shaped
objects, containers).
vi OK Core Curriculum Test Practice and Sample Test Workbook
Copyright © Glencoe/McGraw-Hill
Standard 3: Geometry—The student will use geometric properties to solve problems
in a variety of contexts.
Oklahoma PASS Mathematics
Content Standards, Grade 8 (continued)
2. Apply knowledge of ratio and proportion to solve relationships between similar geometric figures (e.g.,
build a model of a 3-dimensional object to scale).
3. Formulas
a. Select and apply appropriate formulas for given situations:
I. an equation (e.g., d rt, I prt)
II. measurement problems (e.g., p 2l 2w, V lwh)
b. Find the area of a “region of a region” for simple composite figures (e.g., area of a rectangular picture
frame).
Standard 5: Data Analysis and Statistics—The student will use data analysis and
statistics to interpret data in a variety of contexts.
1. Select and apply appropriate formats (e.g., line plots, bar graphs, stem-and-leaf plots, scatter plots,
histograms, circle graphs) to display collected data.
2. Measures of Central Tendency
a. Find the measures of central tendency (mean, median and mode) of a set of data and understand why a
specific measure provides the most useful information in a given context.
b. Compute the mean, median, and mode for data sets and understand how additional data in a set may
affect the measures of central tendency.
3. Determine how samples are chosen (random, limited, biased) to draw and support conclusions about
generalizing a sample to a population (e.g., is the average height of a men’s college basketball team a good
representative sample for height predictions?).*
Copyright © Glencoe/McGraw-Hill
Asterisks (*) identify Standards and objectives that are not assessed by the Oklahoma School Testing Program.
OK Core Curriculum Test Practice and Sample Test Workbook
vii
Name
Date
Diagnostic Test
Test Practice
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 A computer case is best described by which figure?
A cone
B pyramid
C cylinder
D prism
3.1
2 A car travels at an average rate of 65 miles per hour. Which formula can
be used to find the time it takes the car to travel 350 miles? 4.3.a
1
2
d
r
r
B t d
A t C t dr
D trd
Copyright © Glencoe/McGraw-Hill
3 The stem-and-leaf plot shows the ages of the members of an aerobics
class. How many members are at least 30 years old? 5.1
Stem
Leaf
1
6 6 7
2
0 5 7 9
3
2 4 5 6 8
4
2 4 7 9
5
5
3
42 means 42
A 7
B 10
4 Look at the following set of data.
C 16
D 25
5.2.b
4
18, 35, 36, 19, 10
What number affects the mean least if it is added to the data set?
A 10
B 18
C 2
D 36
Go on
OCCT, Grade 8
1
Name
Date
Diagnostic Test
Test Practice (continued)
3.1
5
6 A map is drawn on a scale of 1 inch : 6 miles. If Moore is
8 inches from Carson on the map, what is the actual distance from
Moore to Carson? 4.2
A 48 miles
B 14 miles
C 8 miles
D 6 miles
6
7 A rectangle has length and width w. The perimeter of the rectangle is
p 2 2w. Find the formula for the perimeter of the rectangle formed
by decreasing the length by 3 and the width by 5. 4.3.a
A p 2 2w 4
C p 2 2w 15
B p 2 2w 8
D p 2 2w 16
7
8 The students in a piano class were asked how many hours they usually
practice each week. The graph displays the data. How many students
usually spend at least 2 hours practicing each week? 5.1
8
5 Which of the following is not a possible base for a pyramid?
A triangle
B circle
C square
D pentagon
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Number of Students
Weekly Practice
10
8
6
4
2
0
0–0.9 1–1.9 2–2.9 3–3.9
Number of Hours
A 6
B 10
2 OCCT, Grade 8
C 17
D 23
Go on
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 Which number line shows the graph of the set of numbers that makes the
following inequality true? 1.2.b
9
5x 1 16
A
10
8
6
4
2
0
2
4
6
8
10
B
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
C
D
10
8
6
4
2
0
2
4
6
8
10
10 A box is 5 inches long, 3 inches wide, and 2 inches tall. What is the
surface area of the box? 4.1
10
SArectangular prism 2(w wh h)
Copyright © Glencoe/McGraw-Hill
A
B
C
D
62 square inches
30 square inches
11 square inches
10 square inches
11 Determine the set of data represented by the box-and-whisker plot. 5.1
11
28 30 32 34 36 38 40 42 44 46 48 50 52 54 56
A
B
C
D
54, 34, 40, 28, 46, 29, 30
49, 36, 38, 40, 49, 34, 32
46, 34, 28, 36, 40, 48, 54
33, 28, 35, 54, 46, 50, 40
Go on
OCCT, Grade 8
3
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
12 Two similar pyramids are in a scale of 2 : 3. In the smaller pyramid, the
height is 14 meters, the slant height is 18 meters, and the perimeter is
91 meters. What is the slant height of the larger pyramid? 4.2
A 3 meters
B 12 meters
C 27 meters
D 54 meters
12
13
13 At the drug store, Tina bought 5 items. The costs of the items were
$9.95, $10.25, $3.79, $1.49, and $6.32. Find the mean price for the items
Tina bought. 5.2.a
A $6.30
B $6.32
C $6.36
D $8.76
14 The solution to which inequality is shown on the following graph?
14
1.2.b
10
6
4
2
0
2
4
6
8
10
3y 1 2
3y 1 2
3y 1 2
3y 1 2
15 The figure is the top view of a three-dimensional solid.
Which of the following describes the figure?
A prism
C cone
B pyramid
D cylinder
4 OCCT, Grade 8
3.1
Copyright © Glencoe/McGraw-Hill
A
B
C
D
8
15
Go on
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
16 Kim bought 9 copies of a book at the book store. She paid $4.68 tax on
the books. Her final bill was $63.18. What equation can be used to find
the cost of each book (b) she bought? 1.1.a
A 4.68b 9 63.18
B 9b 4.68 63.18
C 9 4.68b 63.18
D b 4.68 63.18
16
17 Which is closest to the product of 0.4527 and 0.7243? 2.2.c
A 2.8
C 0.7
B 1.1
D 0.3
17
18 Miranda has a box that is shaped like a triangular pyramid. The base of
the box is an equilateral triangle with an area of 183 square inches
and a perimeter of 18 inches. The slant height of the box is 12 inches.
Find the surface area of the pyramid. 4.1
18
1
2
SApyramid B P
Copyright © Glencoe/McGraw-Hill
A
B
C
D
76.8 square inches
139.2 square inches
205.1 square inches
1,920 square inches
19 Which of the following pieces of information can be determined from a
box-and-whisker plot? 5.1
A how different categories in the set of data compare
B the mean of the data
C the range of the data
D the mode of the data
19
20 Which set of data has the same mean and median?
A 20, 24, 22, 14, 16, 18
B 15, 26, 15, 18, 20, 24
C 10, 27, 19, 21, 15, 34
D 21, 24, 30, 24, 30, 24
20
5.2.a
Go on
OCCT, Grade 8
5
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
21 Triangle MNP is similar to triangle RST.
21
4.2
N
S
7.8
6.4
M
P
9.2
x
R
T
Find the approximate value of x.
A 2.8
B 5.4
C 7.5
D 11.2
22 Which number is in the solution to 6 2m 8?
A 2
B 0
1.2.a
22
1
C 3
1
2
23 Donna needs to write a true statement for a homework assignment that
compares two numbers. Which statement below is true? 2.1.a
Copyright © Glencoe/McGraw-Hill
D 2
23
4
A 0.4
5
2
5
B 0.3 3
C 0.75
5
D 8 7
6 OCCT, Grade 8
Go on
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
24 What is the simplest form of the following expression?
24
2.2.a
x8
x2
A
B
C
D
x2
x4
x6
2x6
25 The solution to which equation is represented by the graph below? 1.1b
10
A
B
C
D
8
6
4
2
0
2
4
6
10
5x 2 12
5x 2 12
5x 2 12
5x 2 12
26 Which figure has the least number of vertices?
A triangular prism
B rectangular pyramid
C cube
D triangular pyramid
Copyright © Glencoe/McGraw-Hill
8
8
10
25
28
35
10
14
18
22
26
30
34
26
3.1
27 Find the range of data represented by the box-and-whisker plot.
A
B
C
D
25
5.2.a
27
38
Go on
OCCT, Grade 8
7
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
28 The mean score on Emily’s six history tests is 82%. What score must she
receive on her next history test to have a mean score of 83%? 5.2.b
A 89%
B 85%
C 83%
D 82.5%
28
29 Which solution makes 6x 2 4 true?
A x1
B x1
29
1.2.a
1
3
1
D x 3
30 While shopping at a clothing store, Mario bought a sweater that was
marked $48.50. He had to pay 7.5% sales tax. Which expression could
he use to determine the total cost of the sweater including tax? 2.1.b
A 48.50 .075
B 48.50 .075
C 48.50 (48.50 .075)
D 48.50 (48.50 .075)
30
31 The drawing shows isosceles triangle XYZ drawn inside circle O. Each
vertex of the triangle is on the circumference of the circle.
31
1
2
Areatriangle bh
Y
X
O
Z
If the area of the circle is 64 square centimeters, find the area of the
triangle. 4.3.b
A 8 square centimeters
C 32 square centimeters
B 16 square centimeters
D 64 square centimeters
8 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
C x Go on
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
32 Which graph best represents the equation created when the slope of
y 4x 1 is changed to 1? 1.1.c
A
C
y
y
x
O
B
Copyright © Glencoe/McGraw-Hill
O
x
O
D
y
x
32
y
O
x
33 Three out of every eight students in Dina’s grade at school ride the bus.
If there are 360 students in Dina’s grade, how many students ride the
bus? 2.1.c
A 135
B 120
C 96
D 45
33
34 Mars is approximately 1.284 108 miles from the sun. Which shows
1.284 108 in standard notation? 2.2.b
A 128,400,000,000
C 128,400,000
B 1,284,000,000
D 12,840,000
34
35 What is the simplest form of the following expression?
35
2.2.a
6y2 3y6
A 9y12
B 9y8
C 18y12
D 18y8
Go on
OCCT, Grade 8
9
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
36 Jenna and her brother are building a cage for her rabbit. Which of the
following dimensions will give the greatest volume? 4.1
Vrectangular prism wh
A 4 feet 2 feet 3 feet
B 3 feet 3 feet 3 feet
C 2 feet 2 feet 5 feet
D 2 feet 3 feet 2 feet
36
37 Which of the following correctly identifies the similar triangles shown in 37
the diagram? 4.2
J
L
M
A HJK LMH
B HJK HML
K
C HJK HLM
D HJK MHL
38 The graph at the right represents the
equation created when the slope of the
equation y 3x 1 is changed. What
was the slope changed to? 1.1.c
A 2
1
C 1
B 2
D 2
38
y
O
x
2
39 Lydia and Alyn ate dinner at a local restaurant. Their total bill was
$21.52. They left a 15% tip. How much was the tip? 2.1.b
A $3.23
B $3.00
C $2.15
D $1.50
10 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
H
39
Go on
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
40 Barry asked 75 of his friends whether or not they like pizza. He found
that 4 out of every 5 of his friends like pizza. Which proportion could be
used to determine the number of Barry’s friends who like pizza? 2.1.c
40
4
75
A 5
f
f
5
B 75
4
f
4
C 75
5
f
75
D 4
5
41
42 A rectangular pool is 40 meters long and 30 feet wide. A walkway 3 feet
wide surrounds the pool. 4.3.b
42
Copyright © Glencoe/McGraw-Hill
41 One microgram is equal to 0.000001 grams. Which shows 0.000001 in
scientific notation? 2.2.b
A 1 106
B 1 105
C 1 105
D 1 106
Find the area of the walkway.
A 120 square feet
B 456 square feet
C 1,191 square feet
D 1,200 square feet
Go on
OCCT, Grade 8
11
Name
Date
Diagnostic Test
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
43 A survey is taken every year for 10 years of the number of people that
own a computer. Which would be the best way to display the results of
the survey? 5.1
A stem-and-leaf plot
B box-and-whisker plot
C bar graph
D circle graph
43
44 The radii of two boxes shaped like cylinders are equal. The height of one
box is three times the height of the other box. How many times more
volume does the tall box have? 4.1
44
Vcylinder r2h
A 3
B 6
C 9
D 12
45 The graph below best represents which equation?
1.1.b
45
Copyright © Glencoe/McGraw-Hill
y
x
O
1
3
A y x 2
1
3
B y x 2
1
3
C y x 2
1
3
D y x 2
12 OCCT, Grade 8
STOP
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.a
Model, write, and solve 2-step linear equations using a variety of methods.
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 Randy is trying to figure out how much it will cost him to rent a bicycle.
He needs to make a $10 deposit and then pay $2.50 an hour. He has $25
to rent the bicycle. What equation can he use to find the number of
hours (h) he can rent the bicycle?
A h 10 25
B 10h 2.50 25
C 10 2.50h 25
D 250h 10 25
1
2 Teresa bought 12 CDs for the same price at the music store. She paid
$11.52 tax on the CDs. Her final bill was $155.52. What equation can be
used to find the cost of each CD (c) she bought?
A c 11.52 155.52
B 12c 11.52 155.52
C 12 11.52c 155.52
D 1152c 12 155.52
2
3 Juan wrote the equation 2x 3 7. What is the solution to the
equation?
A 2
C 8
B 5
D 12
3
4 Nellie earns $3 an hour baby-sitting. She baby-sat on Friday night and
then gave $5 to her brother. She had $7 left. The equation 3h 5 7
can be used to find the number of hours (h) she baby-sat. How many
hours did she baby-sit Friday night?
A 15
C 4
B 5
D 1.5
4
5 Hank spent $18.99 to rent movies for a party. The first movie cost $3.99
and each additional movie cost $2.50. The equation 2.50m 3.99 18.99
can be used to find the number of movies (m) he rented. How many
movies did he rent?
A 7
C 5
B 6
D 4
5
OCCT, Grade 8
13
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1
2
6 What is the solution to the equation m 2 4?
A 1
B 3
6
C 4
D 12
2
3
7 What is the solution to the equation t 5 1?
A 6
2
B 2
7
C 4
D 9
3
8 Which of the following values of x and y is a solution to the equation
y 4x 3?
A x 3, y 15
B x 2, y 5
C x1y7
D x 2, y 11
1
3
9 Rachel wrote the equation y x 2. She wants to know the value
8
9
10 Which of the following values of x is a solution to the equation
y 0.5x 0.75 when y 0.25?
A 2
C 0.5
B 1
D 1
r
2
11 What is the solution to the equation 4 3?
1
A 2
B 2
14
OCCT, Grade 8
C 7
D 14
10
11
Copyright © Glencoe/McGraw-Hill
of x when y 3. What is the correct answer?
A 1
C 1
B 0
D 15
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
12 The table below gives a set of values for x and y.
x
2
1
0
1
2
12
y
5
3
1
1
3
Which equation is represented by the data in the table?
A yx3
B yx2
C y 2x 1
D y 3x 1
13 Theo used the following table to keep track of the amount of money he
made mowing lawns one month last summer.
Copyright © Glencoe/McGraw-Hill
Hours worked (h)
5
6
4
3
13
Amount earned (a)
$32.50
$37.50
$27.50
$22.50
Which equation is represented by the data in the table?
A a 5h 7.50
B a 6.50h
C a 7.50h 5
D a 750h 5
14 Suppose x 2 and y 2 is a solution to an equation. Which equation
has this solution?
A y 2x 2
B y 2x 4
C yx4
D y 2x 2
14
OCCT, Grade 8
15
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.a (continued)
15 Sarita wrote an equation with the solutions x 1, y 5 and x 3,
y 7. Which equation did she write?
A y 3x 2
B y 2x 3
C yx6
D y 3x 2
15
16 Which table gives a set of values for x and y for the equation y 3x 1?
16
A
x
y
3 2 1
7 6 5
0
4
1
3
B
x
y
3 2 1
5
4
3
0
2
1
1
C
x
y
3 2 1
8
5
2
0
1
1
4
D
x
y
3 2 1
10
7
4
0
1
1
2
17 What is the solution to the equation 0.2d 3 6.5?
A 0.7
B 1.9
C 17.5
D 47.5
17
18 Which of the following values of x and y is a solution
x
to the equation y 4?
3
A x 3, y 3
B x 0, y 1
C x 3, y 3
D x 6, y 2
18
16
OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.b
Graph and interpret the solution to linear equations on a number line with one variable
and on a coordinate plane with two variables.
Read each question and choose the best answer. Then write the
letter for the answer you have chosen in the blank at the right of
each question.
1 The solution to which equation is represented by the graph below?
10
A
B
C
D
8
6
4
2
0
2
4
6
8
1
10
3x 7 5
3x 7 5
3x 7 5
3x 7 5
2 Which graph shows the solution to the equation 5 3y 4?
A
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
2
B
C
Copyright © Glencoe/McGraw-Hill
D
3 The solution to which equation is represented by the graph below?
10
A
B
C
D
8
6
4
2
0
2
4
6
8
3
10
2m 4 6
2m 4 6
4 2m 6
4 2m 6
OCCT, Grade 8
17
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4 Which graph shows the solution to the equation 10 6 2z?
A
B
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
4
C
5 Which graph best represents the equation y x 2?
y
y
A
C
4
4
3
2
1
3
2
1
4321 O
4321 O
1 2 3 4x
2
3
4
B
4
3
2
1
4321 O
2
3
4
1 2 3 4x
2
3
4
D
y
1 2 3 4x
4
3
2
1
4321 O
y
1 2 3 4x
2
3
4
6 You are graphing the solution to the equation 4x 3 5. What point
will you graph on the number line?
A x 2
B x2
1
3
C x 1
3
D x 18
OCCT, Grade 8
5
6
Copyright © Glencoe/McGraw-Hill
D
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
7 You are graphing the solution to the equation 3y 6 15. What point
will you graph on the number line?
A 7
B 3
C 3
D 7
1
2
8 Which graph best represents the equation y x 3?
A
5
4
3
2
1
C
y
54321 O
5
4
3
2
1
2
3
4
5
B
5
4
3
2
1
Copyright © Glencoe/McGraw-Hill
1 2 3 4 5x
2
3
4
5
D
y
54321 O
1 2 3 4 5x
5
4
3
2
1
54321 O
2
3
4
5
9 The graph at the right best
represents which equation?
2
3
2
B y x 2
3
2
C y x 2
3
2
D y x 2
3
A y x 2
8
y
54321 O
1 2 3 4 5x
7
y
1 2 3 4 5x
2
3
4
5
5
4
3
2
1
54321 O
9
y
1 2 3 4 5x
2
3
4
5
OCCT, Grade 8
19
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
3
10 Which graph best represents the equation y x 1?
4
y
y
A
C
5
5
4
3
2
1
4
3
2
1
54321 O
54321 O
1 2 3 4 5x
2
3
4
5
B
5
4
3
2
1
1 2 3 4 5x
2
3
4
5
D
y
54321 O
5
4
3
2
1
y
54321 O
1 2 3 4 5x
2
3
4
5
1 2 3 4 5x
2
3
4
5
11 Which graph best represents the equation y 2x 3?
y
y
A
C
5
5
4
3
2
1
1 2 3 4 5x
54321 O
2
3
4
5
54321 O
2
3
4
5
20
OCCT, Grade 8
1 2 3 4 5x
2
3
4
5
D
y
1 2 3 4 5x
5
4
3
2
1
54321 O
2
3
4
5
Copyright © Glencoe/McGraw-Hill
5
4
3
2
1
11
4
3
2
1
54321 O
B
10
y
1 2 3 4 5x
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.c
Predict the effect on the graph of a linear equation when the slope changes (e.g., make
predictions from graphs, identify the slope in the equation y mx b and relate to a graph).
Read each question and choose the best answer. Then write the
letter for the answer you have chosen in the blank at the right of
each question.
1 Which graph best represents the equation created when the slope of
y 3x 1 is changed to 2?
y
y
A
C
4
4
3
2
1
3
2
1
4321 O
4321 O
1 2 3 4x
4
3
2
1
1 2 3 4x
2
3
4
2
3
4
B
D
y
4321 O
4
3
2
1
y
4321 O
1 2 3 4x
1 2 3 4x
2
3
4
2
3
4
2 Which graph best represents the equation created when the slope of
1
y x 2 is changed to 3?
3
y
y
A
C
4
4
Copyright © Glencoe/McGraw-Hill
4321 O
4321 O
1 2 3 4x
4321 O
2
3
4
1 2 3 4x
2
3
4
2
3
4
4
3
2
1
2
3
2
1
3
2
1
B
1
D
y
1 2 3 4x
4
3
2
1
4321 O
y
1 2 3 4x
2
3
4
OCCT, Grade 8
21
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
3 The graph at the right represents the
equation created when the slope
of the equation y x 3 is
changed. What was the slope
changed to?
A 2
1
B 2
1
C 2
5
4
3
2
1
3
y
54321 O
1 2 3 4 5x
2
3
4
5
D 2
4 The graph at the right represents the
equation created when the slope
of the equation y 2x 4 is
changed. What was the slope
changed to?
A 3
1
B 3
1
C 3
5
4
3
2
1
4
y
54321 O
1 2 3 4 5x
2
3
4
5
5 The graph at the right represents the
equation created when the slope
of an equation is changed to 1.
Which equation could have
been changed?
A y 2x 2
B y 2x 2
C y 2x 1
D y 2x 1
22
OCCT, Grade 8
5
4
3
2
1
54321 O
2
3
4
5
5
y
1 2 3 4 5x
Copyright © Glencoe/McGraw-Hill
D 3
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
6 Which graph best represents the equation created when the slope of
y 4x 5 is changed to 1?
y
y
A
C
4
4
3
2
1
3
2
1
4321 O
4321 O
1 2 3 4x
4
3
2
1
4321
1 2 3 4x
2
3
4
2
3
4
B
D
y
O
1 2 3 4x
y
4
3
2
1
4321 O
1 2 3 4x
2
3
4
2
3
4
7 Which graph best represents the equation created when the slope of
1
y x 3 is changed to 4?
4
y
y
A
C
5
5
Copyright © Glencoe/McGraw-Hill
54321 O
54321 O
1 2 3 4 5x
54321 O
2
3
4
5
1 2 3 4 5x
2
3
4
5
2
3
4
5
5
4
3
2
1
7
4
3
2
1
4
3
2
1
B
6
D
y
1 2 3 4 5x
5
4
3
2
1
54321 O
y
1 2 3 4 5x
2
3
4
5
OCCT, Grade 8
23
Name
Date
Standards Practice
Algebraic Reasoning: Equations PASS 1.1.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
8 The graph at the right represents the
equation created when the slope
of an equation is changed to 1.
Which equation could have
been changed?
A yx1
B y 3x 1
C y x 1
D y 4x 3
9 The graph at the right represents the
equation created when the slope
of the equation y 2x 2 is
changed. What was the slope
changed to?
A 5
1
B 5
1
C 5
5
4
3
2
1
8
y
54321 O
1 2 3 4 5x
2
3
4
5
5
4
3
2
1
54321 O
9
y
1 2 3 4 5x
2
3
4
5
10 The graph at the right represents the
equation created when the slope
of an equation is changed to 2.
Which equation could have
been changed?
A yx4
B y 4x 2
C y x 4
D yx2
24
OCCT, Grade 8
10
y
5
4
3
2
1
54321 O
2
3
4
5
1 2 3 4 5x
Copyright © Glencoe/McGraw-Hill
D 5
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.a
Model, write, and solve 1-step and 2-step linear inequalities with one variable.
Read each question and choose the best answer. Then write the
letter for the answer you have chosen in the blank at the right of
each question.
1 Which solution makes 4x 1 3 true?
A x1
B x1
1
1
2
1
D x 2
Copyright © Glencoe/McGraw-Hill
C x 2 Lisa has $25.00 to buy snacks and punch for her party. She is going to
buy snacks that cost $15.15, including tax. She will use the rest of the
money to buy as many gallons of punch as possible. Let g represent the
number of gallons of punch Lisa can buy. If each gallon of punch costs
$1.98, including tax, which inequality can she use to find the maximum
number of gallons she can buy?
A 15.15g 1.98 25.00
B 15.15 1.98g 25.00
C 15.15g 1.98 25.00
D 15.15 1.98g 25.00
2
3 Which solution makes 3 6y 9 true?
A y 1
B y 2
C y 1
D y 2
3
4 Which number is in the solution to 3x 7 2?
A 3
C 0
B 1
D 3
4
5 Which number is in the solution to 3 2d 5?
A 8
C 1
B 4
D 0
5
OCCT, Grade 8
25
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.a (continued)
6 Betty wants to earn at least $115.00 walking her neighbor’s dog. She has
already earned $75.00. Let h represent the number of hours she needs to
work in order to earn at least $115.00. If Betty makes $5 an hour, which
inequality can she use to find the minimum number of hours she needs
to work?
A 5 75h 115.00
B 5 75h 115.00
C 5h 75 115.00
D 5h 75 115.00
6
7 Rich has $30.00 to spend at the fair. He spent $7.50 to get in to the fair.
He will use the rest of the money to buy as many ride tickets as possible.
Let t represent the number of ride tickets Rich can buy. If the ride tickets
cost $0.75 each, which inequality can he use to find the maximum
number of tickets he can buy?
A 0.75t 7.5 30.00
B 0.75t 7.5 30.00
C 7.5t 0.75 30.00
D 7.5t 0.75 30.00
7
1
8 Which solution makes r 3 2 true?
2
A r 10
B r 10
C r 2
D r 2
8
9 Which solution makes 3 4w 2 true?
9
1
4
1
B w 4
5
C w 4
5
D w 4
A w 26
OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
10 Which number is in the solution to 4 4z 2?
1
A 10
1
2
C 1
2
2
B 3
D 2
11 The balance drawn below models an inequality.
1
X X 1 1
11
1 1
1 1 1
Which solution makes the inequality true?
A x4
B x4
C x1
D x1
12 Which solution makes 6 10x 5 true?
12
1
10
1
B x 10
11
C x 10
11
D x 10
Copyright © Glencoe/McGraw-Hill
A x 13 Which solution makes 12 4y 16 true?
A y 1
B y 1
C y 7
D y 7
13
OCCT, Grade 8
27
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
14 The balance drawn below models an inequality.
X
X
X
14
1 1 1
1 1 1 1
1
Which solution makes the inequality true?
A x2
B x2
8
3
8
D x 3
2
15 Which solution makes n 1 5 true?
3
A n9
B n9
C n4
D n4
15
16 Kaylin bought 48 flowers to plant. She planted 20 of the flowers in her
front yard. She will plant the rest of the flowers in the three gardens in
her back yard. Let f represent the number of flowers Kaylin can plant in
each of her gardens in her back yard. Which inequality can she use to
find the maximum number of flowers she can plant in each garden in her
back yard?
A 20f 3 48
B 20f 3 48
C 3f 20 48
D 3f 20 48
16
28
OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
C x Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.b
Graph the solution to linear inequalities with one variable on a number line.
Read each question and choose the best answer. Then write the
letter for the answer you have chosen in the blank at the right of
each question.
1 Which number line shows the graph of the set of numbers that makes the
following inequality true?
1
3x 2 8
A
10
8
6
4
2
0
2
4
6
8
10
B
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
C
D
10
8
6
4
2
0
2
4
6
8
10
2 The solution to which inequality is shown on the following graph?
10
Copyright © Glencoe/McGraw-Hill
A
B
C
D
8
6
4
2
0
2
4
6
8
10
4y 10 2
4y 10 2
4y 10 2
4y 10 2
3 The solution to which inequality is shown on the following graph?
10
A
B
C
D
2
8
6
4
2
0
2
4
6
8
3
10
5 2z 7
5 2z 7
5 2z 7
5 2z 7
OCCT, Grade 8
29
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4 Which number line shows the graph of the set of numbers that makes the
following inequality true?
4
6x 4x 8
A
10
B
C
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
D
10
8
6
4
2
0
2
4
6
8
10
5 Which number line shows the graph of the set of numbers that makes the
following inequality true?
5
3y 2 2y
A
B
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
C
D
8
6
4
2
0
2
4
6
8
10
6 The solution to which inequality is shown on the following graph?
10
A
B
C
D
30
8
2r 5 1
2r 5 2
2r 5 1
2r 5 1
OCCT, Grade 8
6
4
2
0
2
4
6
8
10
6
Copyright © Glencoe/McGraw-Hill
10
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
7 The solution to which inequality is shown on the following graph?
10
A
B
C
D
8
6
4
2
0
2
4
6
8
10
3m m 10
3m m 10
3m m 10
3m m 10
8 The solution to which inequality is shown on the following graph?
10
A
B
C
D
8
6
4
2
0
2
4
6
8
12 4d 2d
12 4d 2d
12 4d 2d
12 4d 2d
Copyright © Glencoe/McGraw-Hill
10
8
6
4
2
0
2
4
6
8
9
10
2n 1 2
2n 2 3
2n 1 2
2n 2 3
10 The solution to which inequality is shown on the following graph?
10
A
B
C
D
8
10
9 The solution to which inequality is shown on the following graph?
A
B
C
D
7
8
6
4
2
0
2
4
6
8
10
10
8 2t 11
8 2t 11
8 2t 11
8 2t 11
OCCT, Grade 8
31
Name
Date
Standards Practice
Algebraic Reasoning: Inequalities PASS 1.2.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
11 Which number line shows the graph of the set of numbers that makes the 11
following inequality true?
1
x 3 6
2
A
B
C
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
D
12 The solution to which inequality is shown on the following graph?
10
8
6
4
2
0
2
4
6
8
12
10
1
2
A 2 w 4
1
2
1
C 2 w 4
2
1
D 2 w 6
2
13 The solution to which inequality is shown on the following graph?
10
8
6
3
A v 5 4
4
3
B v 5 4
4
3
C v 5 2
4
3
D v 5 2
4
32
OCCT, Grade 8
4
2
0
2
4
6
8
10
13
Copyright © Glencoe/McGraw-Hill
B 2 w 6
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.a
Compare and order rational numbers (positive and negative integers, fractions, decimals)
in real-life situations.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 The fractions below represent the sizes, in inches, of some pieces of
ribbon in Rachel’s sewing box.
1
3 1 7 1 5
, , , , 4 2 8 3 16
Which shows the fractions in order from least to greatest?
5 1 1 3 7
A , , , , 16 3
1 5
B , ,
3 16
5 1
C , ,
16 3
1 5
D , ,
3 16
2
1
,
2
1
,
2
1
,
2
4
3
,
4
7
,
8
7
,
8
8
7
8
3
4
3
4
2 The integers below represent the temperatures, in degrees Fahrenheit,
that Raphael recorded during the last five days.
2
15, 5, 6, 7, 3
Copyright © Glencoe/McGraw-Hill
Which shows the temperatures in order from greatest to least?
A 15, 7, 6, 5, 3
B 15, 6, 3, 5, 7
C 7, 5, 3, 6, 15
D 3, 5, 6, 7, 15
3 The decimals below represent the weights, in pounds, of some of the
babies in the hospital nursery.
3
6.25, 7.32, 6.45, 6.41, 7.15, 7.35
Which shows the weights in order from greatest to least?
A 7.15, 7.32, 7.35, 6.25, 6.41, 6.45
B 6.25, 6.41, 6.45, 7.15, 7.32, 7.35
C 7.35, 7.32, 7.15, 6.45, 6.41, 6.25
D 6.45, 6.41, 6.45, 7.35, 7.32, 7.15
OCCT, Grade 8
33
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4 Dora needs to write a true statement for an extra credit project that
compares two numbers. Which statement below is true?
3
A 0.3
2
C 0.25
1
B 0.2 5
D 5 4
5
5
5 Will is helping Cameron do his math homework. They need to find the
true statement from those shown below. Which statement below is true?
5
A 0.5
12
2
B 0.75 3
5
9
7
C 10
8
2
3
D 3
4
6 Jacob is solving a bonus problem on a test. He needs to write a true
statement that compares two numbers. Which statement below is true?
A 9 12
4
3
C 5
B 0.9 6
D 0.65 0.56
3
4
4
7
6
4
5
8
7 Mara has yard of material. Gregg has yard of material. Hank has
7
most material?
A Brenda
B Hank
C Gregg
D Mara
8 On Monday, the temperature was 5°C. On Tuesday, it was 8°C. On
Wednesday, it was 4°C. On Thursday, it was 2°C. On which day was
the temperature the least?
A Monday
C Wednesday
B Tuesday
D Thursday
34 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
11
9
yard of material. Brenda has yard of material. Who has the
12
10
8
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 The mixed numbers below represent the heights, in inches, of some
photos in Nina’s photo album.
3
4
1
2
1
2
1
2
1
4
9
3
4
2, 1, 2, 3, 3, 1
Which shows the heights in order from greatest to least?
1
2
1
B 3,
4
1
C 3,
2
1
D 3,
2
3
4
1
3,
2
1
3,
4
1
3,
4
1
2
3
2,
4
3
2,
4
1
2,
2
3
4
1
2,
2
1
2,
2
3
2,
4
1
4
3
1,
4
3
1,
4
1
1,
2
1
2
1
1
2
1
1
2
3
1
4
A 1, 1, 2, 2, 3, 3
10 The integers below represent the rushing yards on individual plays by a
running back on Charlie’s team.
10
3, 5, 2, 6, 4, 1
Copyright © Glencoe/McGraw-Hill
Which shows the rushes in order from least to greatest?
A 6, 3, 1, 2, 4, 5
B 5, 4, 2, 1, 3, 6
C 1, 2, 3, 4, 5, 6
D 6, 5, 4, 3, 2, 1
11 The fractions below represent the weight, in pounds, of some of the bags
of peanuts sold at the bulk food store.
11
5 7 2 2 7
, , , , 8 12 5 3 10
Which shows the weights in order from greatest to least?
2 7 5 7 2
A , , , , 3 10
2 7
B , ,
5 12
2 7
C , ,
5 12
7 2
D , ,
10 3
8
5
,
8
5
,
8
5
,
8
12 5
2 7
, 3 10
7 2
, 10 3
7 2
, 12 5
OCCT, Grade 8
35
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
12 The decimals below represent the capacity, in liters, of some of the
containers in Theresa’s closet.
12
0.5, 0.63, 0.55, 0.6, 0.75, 0.72
Which shows the capacities in order from least to greatest?
A 0.5, 0.55, 0.6, 0.63, 0.72, 0.75
B 0.75, 0.72, 0.63, 0.6, 0.55, 0.5
C 0.55, 0.5, 0.63, 0.6, 0.72, 0.75
D 0.75, 0.72, 0.6, 0.63, 0.5, 0.55
13 The fractions below represent amounts of flour, in pounds, that Starla
used in five different cake recipes.
1
2
2
3
3
4
7
8
13
3
4
2, 2, 1, 1, 2
Which shows the amounts in order from greatest to least?
3
4
3
B 1,
4
3
C 2,
4
2
D 2,
3
7
8
7
1,
8
2
2,
3
3
2,
4
1
2
1
2,
2
1
2,
2
1
2,
2
3
4
2
2,
3
7
1,
8
7
1,
8
2
3
3
2
4
3
1
4
3
1
4
A 1, 1, 2, 2, 2
1
2
1
3
3
4
2
3
1
4
5, 5, 5, 5, 5
Which shows the heights in order from least to greatest?
3
4
1
B 5,
2
3
C 5,
4
1
D 5,
4
2
3
1
5,
3
2
5,
3
1
5,
3
1
2
1
5,
4
1
5,
4
1
5,
2
1
3
2
5,
3
1
5,
3
2
5,
3
1
4
3
5
4
1
5
2
3
5
4
A 5, 5, 5, 5, 5
36 OCCT, Grade 8
14
Copyright © Glencoe/McGraw-Hill
14 The mixed numbers below show the heights, in feet, of five eighth grade
students at Moore Middle School.
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.b
Use the basic operations on rational numbers to solve problems in real-life situations (e.g.,
describe the effect of multiplying whole numbers by a fraction or a decimal less than 1).
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 While shopping at a department store, Maria bought a coat that was
marked $24.90. She had to pay 8.5% sales tax. Which expression could
she use to determine the total cost of the coat including tax?
A 24.90 0.085
B 24.90 (24.90 0.085)
C 24.90 (24.90 0.085)
D 24.90 0.085
3
4
2 Eric used of his savings to buy a CD player. If Eric had $125 saved,
1
2
Copyright © Glencoe/McGraw-Hill
how much did he pay for the CD player?
A $10.00
B $21.25
C $50.00
D $93.75
3 Joel and Matt ate lunch at a local restaurant. Their total bill was $15.20.
They left a 15% tip. How much was the tip?
A $13.22
B $3.00
C $2.28
D $1.50
3
4 While shopping at the mall, Wyant found T-shirts on sale for 30% off
the marked price. He bought a T-shirt that was marked $15.50. Which
expression could he use to determine the cost of the T-shirt after the
discount?
A 15.50 0.3
B 15.50 (0.3 15.5)
C 15.50 (0.3 15.5)
D (0.3 15.5) 15.50
4
OCCT, Grade 8
37
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.b (continued)
5 While shopping at a music store, Bobby bought a DVD that was marked
$19.95. He had to pay 6.5% sales tax. What did Bobby pay for the DVD
including sales tax?
A $21.25
B $20.60
C $20.02
D $20.00
5
6 While shopping at an electronics store, Carrie bought a pair of speakers
that were marked $25.50. The clerk told her that the speakers were on
sale for 25% off the marked price. What was the sale price of the
speakers?
A $6.38
B $15.50
C $19.13
D $25.25
6
7 Sara’s dinner bill came to $8.15. She left a 20% tip. Which expression
could she use to determine the total cost of her dinner including the tip?
A 8.15 0.20(8.15)
B 8.15 0.20(8.15)
C 8.15 0.20
D 8.15 0.20
7
2
3
8 Rick is saving of his weekly allowance to buy a book. His weekly
allowance is $15. Which expression could he use to determine what is
left of his weekly allowance after he buys the book?
2
3
A 15 15
2
B 15
3
2
3
2
D 15 3
C 15 15
38 OCCT, Grade 8
8
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 While shopping at a grocery store, Kendra bought a gallon of ice cream
that was marked $5.50. She had to pay 7.9% sales tax. Which expression
could she use to determine the total cost of the ice cream including tax?
A 5.50 5.50(0.079)
B 5.50 5.50(0.079)
C 5.50 0.079
D 5.50 0.079
9
10 Pete planted part of his garden on Tuesday. The part he planted is shown
in the diagram below.
10
Copyright © Glencoe/McGraw-Hill
His garden has an area of 24 square feet. What is the area of the part he
planted on Tuesday?
A 4 square feet
C 8 square feet
B 6 square feet
D 12 square feet
11 Lila always saves 20% of the money she makes baby-sitting. She made
$25.50 baby-sitting last Saturday. Which expression could she use to
determine the amount she will save?
A 25.50 25.50(0.20)
B 25.50 0.20
C 25.50 25.50(0.20)
D 25.50 0.20
11
12 Jake saved 45% on the last CD he purchased. The original price of the
CD was $20.50. Which expression could he use to determine the amount
he saved on this purchase?
A 20.50 20.50(0.40)
B 20.50 0.45
C 20.50 0.45
D 20.50 20.50(0.40)
12
OCCT, Grade 8
39
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
13 Tara used part of a piece of ribbon to wrap a package. The part she used
is shaded in the diagram below.
13
Her original piece of ribbon was 32 inches long. Which expression can
be used to determine the length of the piece of ribbon she has left?
3
8
3
B 32 8
A 32 3
8
3
D 32 32 8
C 32 32 1
15 Scott bought a sweater that was on sale for off the marked price.
3
The price marked on the sweater was $36.60. What did Scott pay for the
sweater?
A $30.00
C $16.60
B $24.40
D $12.20
40 OCCT, Grade 8
14
Copyright © Glencoe/McGraw-Hill
14 Maryanne saved 30% on the shirt she bought at the mall. The original
price of the shirt was $35.90. How much did she save on the shirt?
A $10.77
C $25.13
B $15.90
D $30.00
15
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.c
Apply ratios and proportions to solve problems.
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 At Michael’s school 3 out of every 5 eighth-grade students are in the
band. If there are 545 eighth-grade students at the school, how many are
in the band?
A 436
C 218
B 327
D 109
1
2 Two out of every five customers at a local restaurant order dessert. If
there were 125 customers on Monday, how many ordered dessert?
A 100
C 50
B 75
D 25
2
3 Trina is selling candles for a fund-raiser. Four out of every five people
she asked to buy a candle bought one candle. If she asked 50 people to
buy a candle, how many candles did she sell?
A 5
C 15
B 10
D 40
3
4 Ms. Berry asked her students whether or not they had a pet. She reported
to her classes that three out of four of her students said they had a pet.
There are 144 students in Ms. Berry’s classes. Which proportion could
her students use to determine the number of students who have a pet?
4
s
3
A 144
4
3
144
B 4
s
3
4
C 144
s
s
144
D 4
3
5 Leo likes to watch movies. Three out of every five movies he watches
are science fiction movies. If he watched 20 movies last month, how
many science fiction movies did he watch?
A 3
C 12
B 5
D 20
5
OCCT, Grade 8
41
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
6 Kate’s dentist claims that 5 out of every 6 of his patients have their teeth
cleaned every 6 months. The dentist has 348 patients. Which proportion
could Kate use to determine the number of patients who have their teeth
cleaned every 6 months?
p
6
348
A 5
p
6
B 348
5
6
p
348
6
5
D 6p
348
5
C 7
8 Four out of every nine people in Darrell’s home town are under 18. If
the population of Darrell’s home town is 3,060, how many people are
under 18?
A 2,700
C 1,360
B 1,700
D 360
8
9 A recent survey of students at Joan’s school shows that 7 out of 8 like
pizza for lunch. If there are 520 students at Joan’s school, how many like
pizza for lunch?
A 65
C 80
B 70
D 455
9
10 Jerome’s grandma plants a flower garden every spring. Five out of every
nine flowers she plants are marigolds. If she plants 180 flowers in her
garden, how many flowers are marigolds?
A 70
C 100
B 90
D 140
10
42 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
7 At Kaylen’s school 7 out of every 10 eighth-grade girls tried out for
cheerleading. If there are 370 eighth-grade girls at the school, how many
tried out for cheerleading?
A 37
C 259
B 111
D 333
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
11 Ramon sees an advertisement on television that claims 4 out of 5 people
prefer Brand X over Brand Y. If this advertisement is correct, how many
people in a group of 500 will prefer Brand X over Brand Y?
A 50
C 200
B 100
D 400
11
12 Six out of ten people who went to the carnival won a prize. If 90 people
attended the carnival, how many won a prize?
A 60
C 36
B 54
D 30
12
13 Mr. Walker claims that 4 out of every 7 of his students use the Internet
daily. Eighty-four of his students use the Internet daily. Which proportion
could be used to determine the number of students in Mr. Walker’s classes?
13
84
4
A Copyright © Glencoe/McGraw-Hill
s
7
84
7
B s
4
4
84
C s
7
7
84
D s
4
14 Thirty-six people who called the radio station on Friday requested the
same song. If one out of three people who called requested the same
song, how many people called the radio station on Friday?
A 12
C 39
B 33
D 108
14
15
15 Fifty-four of the people in Riley’s neighborhood attended the barbecue.
If two out of three people in Riley’s neighborhood attended the barbecue,
how many people live in Riley’s neighborhood?
A 81
C 27
B 54
D 18
OCCT, Grade 8
43
Name
Date
Standards Practice
Number Sense: Rational Numbers and Proportional Reasoning PASS 2.1.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
16 Sixty-six eighth graders attended the basketball game on Friday. If 3 out
of every 5 eighth graders attended the basketball game on Friday, how
many eighth graders are there?
A 22
C 190
B 110
D 330
16
17 Three out of every five students at Justin’s school are girls. There are
150 girls at Justin’s school. How many students are in Justin’s school?
A 30
C 250
B 50
D 450
17
18 Seven out of every eight of the students in the choir walk to school.
Forty-nine of the students in choir walk to school. Which proportion
could be used to determine the number of students in the choir?
18
7
8
7
s
B 49
8
8
49
C 7
s
7
49
D 8
s
19 Forty students are in the Spanish club. If 2 out of every 15 students at
Mifflin Middle School are in the Spanish club, how many students
attend Mifflin Middle School?
A 40
C 300
B 80
D 600
19
20
20 There are 108 eighth graders attending Renee’s middle school. If 2 out
of every 7 students at Renee’s middle school are in the eighth grade, how
many students attend Renee’s middle school?
A 756
C 216
B 378
D 70
44 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
s
49
A Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.a
Use the rules of exponents, including integer exponents, to solve problems
am
e.g., 72 73 75, an amn.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 What is the simplest form of the following expression?
1
x6
x2
A x4
B x3
C x8
D 2x4
2 What is the simplest form of the following expression?
2
3m2
5
6m
A 2m3
1
2m
B 3
m7
2
1
D 7
2m
C 3 What is the simplest form of the following expression?
Copyright © Glencoe/McGraw-Hill
34 35
A 31
B 31
C 320
D 39
4 What is the simplest form of the following expression?
w2 w4
A w6
B w2
3
4
C w8
D w2
5 What is the simplest form of the following expression?
r3 r2 r5
A r30
C r4
B r10
D r4
5
OCCT, Grade 8
45
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
6 What is the simplest form of the following expression?
6
38
5
3
1
3
A 33
C 13
1
3
D 313
B 3
7 What is the simplest form of the following expression?
7
52
8
5
1
5
B 6
1
5
C 10
D 56
8 Look at the number pattern below.
1
36
1
61 6
62
60 1
61 6
62 36
63 ?
Find the missing number in the pattern.
A 36
C 42
B 18
D 216
46 OCCT, Grade 8
8
Copyright © Glencoe/McGraw-Hill
A 510
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9
9 Look at the number pattern below.
1 2
9
3
1 1
3
3
1 0
1
3
1 1
1
3
3
1 2
1
3
9
3
1
?
3
Find the missing number in the pattern.
A 27
B 9
1
C 9
1
D 27
10
11 What is the simplest form of the following expression?
5z4 2z6
A 10z24
C 10z10
B 3z24
D 3z10
11
Copyright © Glencoe/McGraw-Hill
10 What is the simplest form of the following expression?
4a3 2a4
A 8a7
C 8a12
7
B 6a
D 6a12
OCCT, Grade 8
47
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
12
12 Look at the number pattern below.
1
26 64
1
25 32
1
24 16
1
23 8
22 ?
Find the missing number in the pattern.
A 4
1
C 1
B 4
D 4
2
13 What is the simplest form of the following expression?
13
9x4
5
A 3x3
x
C 1
B 3
3x
D 3x5
3
14 What is the simplest form of the following expression?
6y8
15y3
2
A 5y11
2y5
B 5
48 OCCT, Grade 8
2y11
5
2
D 5
5y
C 14
Copyright © Glencoe/McGraw-Hill
3x
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.b
Represent and interpret large numbers and numbers less than one in exponential and
scientific notation.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 The gravitational pull of the sun on Earth is
35,000,000,000,000,000,000,000 newtons. Which shows
35,000,000,000,000,000,000,000 in scientific notation?
C 3.5 1020
A 3.5 1022
B 3.5 1021
D 3.5 1019
1
2 The table below shows the chances of a mother giving birth to more than
one baby.
2
Type of Birth
Twins
Triplets
Quadruplets
Quintuplets
1
1
1
1
Chances
in 90
in 9,000
in 900,000
in 85,000,000
Copyright © Glencoe/McGraw-Hill
Which shows 85,000,000 in scientific notation?
A 8.5 105
C 8.5 107
6
B 8.5 10
D 8.5 108
3 One nanometer is equal to 0.00000003937 inch. Which shows
0.00000003937 in scientific notation?
A 3.937 107
C 3.937 109
B 3.937 108
D 3.937 1010
3
4 The coldest temperature ever obtained in a lab was 0.000000002 K.
Which shows 0.000000002 in scientific notation?
A 2 109
C 2 108
B 2 108
D 2 109
4
OCCT, Grade 8
49
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5 One light year is equal to 9.46 1012 kilometers. Which shows
9.46 1012 in standard notation?
A 946,000,000,000
B 9,460,000,000,000
C 94,600,000,000,000
D 946,000,000,000,000
5
6 The mean distance from Earth to the moon is about 2.4 105 miles.
Which shows 2.4 105 in standard notation?
A 240,000
C 2,400
B 24,000
D 240
6
7 The table below shows the approximate area of some of the major bodies
of water on Earth.
7
Pacific Ocean
Atlantic Ocean
Bay of Bengal
Hudson Bay
Area
(square kilometers)
1.66 108
8.2 107
2.2 106
1.2 106
Which shows the numbers in this table written in standard notation?
A 1,660,000,000; 820,000,000; 22,000,000; 12,000,000
B 166,000,000; 82,000,000; 2,200,000; 1,200,000
C 1,660,000; 820,000; 22,000; 12,000
D 166,000; 82,000,000; 220,000; 120,000
8 One electron volt equals 1.602 1019 joules. Which shows
1.602 1019 written in standard notation?
A 0.0000000000000001602
B 0.000000000000000001602
C 0.0000000000000000001602
D 0.00000000000000000001602
50 OCCT, Grade 8
8
Copyright © Glencoe/McGraw-Hill
Body of Water
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 An ant weighs about 2 105 pounds. Which shows 2 105 written
in standard notation?
A 0.000002
C 20,000
B 0.00002
D 200,000
10 The list below shows the measurements equivalent to 1 angstrom.
9
10
1 angstrom 0.0001 micrometer
1 angstrom 0.0000001 millimeter
1 angstrom 0.000000004 inch
Copyright © Glencoe/McGraw-Hill
Which shows the numbers in this list written in scientific notation?
A 1 104; 1 107; 4 109
B 1 103; 1 106; 4 108
C 1 103; 1 106; 4 108
D 1 104; 1 107; 4 109
11 The distance from the equator to the north pole is approximately
6.2 103 miles. Which shows 6.2 103 written in standard notation?
A 62,000
C 620
B 6,200
D 62
11
12 One mil is equal to 2.54 105 meters. Which shows 2.54 105
written in standard notation?
A 25,400,000
C 0.0000254
B 254,000
D 0.00000254
12
13 One gigabyte is equal to 1 109 bytes. Which shows 1 109 written in
standard notation?
A 100,000,000,000
B 10,000,000,000
C 1,000,000,000
D 100,000,000
13
OCCT, Grade 8
51
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.b (continued)
14 One dyne is equal to 2.248 106 pounds. Which shows 2.248 106
written in standard notation?
A 0.0000002248
B 0.000002248
C 0.002248
D 0.02248
14
15 Earth weighs about 1.3 1025 pounds. Which shows 1.3 1025 written
in standard notation?
A 13,000,000,000,000,000,000,000,000
B 1,300,000,000,000,000,000,000,000
C 130,000,000,000,000,000,000,000
D 13,000,000,000,000,000,000,000
15
16 You have about 2.5 1013 red blood cells in your body at any one time.
Which shows 2.5 1013 written in standard notation?
A 25,000,000,000
B 250,000,000,000
C 2,500,000,000,000
D 25,000,000,000,000
16
17 You have about 5,000,000 hairs on your head. Which shows 5,000,000
written in scientific notation?
A 5 104
C 5 106
B 5 105
D 5 107
17
18 One fluid ounce is equal to 0.00002957 cubic meter. Which shows
0.00002957 written in scientific notation?
A 2.957 105
C 2.957 104
4
B 2.957 10
D 2.957 105
18
19 One kilowatt-hour is equal to 0.0000036 joule. Which shows 0.0000036
written in scientific notation?
A 3.6 107
C 3.6 106
B 3.6 106
D 3.6 106
19
52 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.c
Use estimation strategies (e.g., rounding) to describe the magnitude of large numbers and
numbers less than one.
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 Which is closest to the product of 0.5942 and 0.8136?
A 1.4
B 0.8
C 0.6
D 0.5
1
2 The speed that light travels is 186,283 miles per second. What is the
approximate speed of light written in scientific notation?
A 1.9 106
B 1.8 106
C 1.9 105
D 1.8 106
2
3 It is about 149,600,000 kilometers from the sun to Earth, and about
227,400,000 kilometers from the sun to Mars. About how much further
from the sun is Mars than Earth?
A 60,000,000 kilometers
B 80,000,000 kilometers
C 90,000,000 kilometers
D 110,000,000 kilometers
3
4 The table shows a population of rabbits after periods of 5 years. The
population continues to grow at about the same rate. Which is the best
approximation for the population of rabbits after 25 years?
4
Year
0
5
10
15
20
A
B
C
D
Number of Rabbits
10
21
42
82
163
320
480
640
800
OCCT, Grade 8
53
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5
6 Jana lives 0.38 mile from school. Christina lives 0.25 times as far from
school as Jana. About how far from school does Christina live?
A 0.6 mile
B 0.4 mile
C 0.3 mile
D 0.1 mile
6
7 About how many times larger is 0.0079 than 0.00004?
A 2
B 20
C 200
D 2,000
7
8 One approximation of the circumference of Earth is 25,133 miles. What
is the circumference of Earth rounded to the nearest thousand?
A 20,000
B 25,000
C 26,000
D 30,000
8
9 Which number, when rounded to the nearest ten-thousandth, is 0.7453?
A 7.45321 104
B 7.4536 104
C 7.45321 101
D 7.4536 101
9
54 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
5 The population of China is about 1,280,000,000 people. The population
of the United States is about 290,000,000 people. About how many
people total live in China and the United States?
A 4,000,000,000
B 3,000,000,000
C 2,000,000,000
D 1,600,000,000
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.c (continued)
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
10 Which number is the best approximation for 5 0.09992?
A 5
B 0.5
C 0.0000005
D 0.00000005
10
11 An African elephant weighs about 5,983 kg. A house mouse weighs
about 0.028 kg. About how many times larger is the elephant than the
mouse?
A 2,000
B 20,000
C 200,000
D 2,000,000
11
12 Which of the following is the best approximation for (1.93 107) (7.51 109), written in scientific notation?
A 1.6 1016
B 1.6 1017
C 16 1017
D 1.6 1018
12
13 Suppose you buy 0.898 pound of beef and 0.293 pound of chicken at the
deli. Approximately how many more pounds of beef did you buy than
chicken?
A 0.6 pound
B 0.8 pound
C 0.9 pound
D 1.2 pound
13
14 You buy 8 pounds of oranges at $0.79 per pound, and 5 pounds of apples
at $0.59 per pound. About how much more did you spend on oranges
than apples?
A $3.90
B $3.40
C $3.00
D $2.50
14
OCCT, Grade 8
55
Name
Date
Standards Practice
Number Sense: Exponents PASS 2.2.c (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
15
16 Which of the following is closest to 5?
A 0.1002 499
B 0.3897 0.27634
C (2.5002 108) (1.9993 108)
D 0.0049 0.9923
16
17 Joshua tries to change the oil in his car every 3,000 miles. His car has a
total of 211,056 total miles. What would be the most reasonable number
of times Joshua has changed the oil in his car?
A 90
B 70
C 50
D 40
17
18 Which of the following, when rounded to the nearest ten thousand, is
equal to 4,600,000?
A 4,675,889
B 4,605,001
C 4,598,052
D 4,553,607
18
19 Which of the following will result in a number greater than 1?
A (4.5635 104) (3.456 102)
B (1.2398 1012) (9.99978 1013)
C (5.694 103) (5.55536 103)
D (7.1339 105) (6.4482 102)
19
56 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
15 Which of the following best approximates the number of hairs on a
person’s head?
A 1 106
B 0.01
C 100
D 1 106
Name
Date
Standards Practice
Geometry PASS 3.1
Construct models, sketch (from different perspectives), and classify solid figures such as
rectangular solids, prisms, cones, cylinders, pyramids, and combined forms (e.g., draw a
figure that could result from making 1, 2, or 3 cuts in a given solid).
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 The figure shows one view of a
three-dimensional solid.
Which of the following could describe
the figure?
A triangular prism
B rectangular pyramid
C cone
D cylinder
1
2 A cylinder is missing one base. Which of the following could possibly
be a net for this figure?
A
C
2
D
Copyright © Glencoe/McGraw-Hill
B
3 Which of the following is not a possible base for a prism?
A triangle
C circle
B octagon
D parallelogram
3
OCCT, Grade 8
57
Name
Date
Standards Practice
Geometry PASS 3.1 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4 Which of the following figures contains triangular faces?
A cone
B rectangular pyramid
C hexagonal prism
D cylinder
4
5 The figure is the top view of a
three-dimensional solid.
5
6 Which figure has the most number of vertices?
A triangular prism
B rectangular pyramid
C cone
D cube
6
7 The table shows the total number of edges in several three-dimensional
figures.
7
Figure
triangular pyramid
rectangular pyramid
pentagonal pyramid
hexagonal pyramid
Number of Edges
6
8
10
12
From the pattern in the table, find the total number of edges in a
pyramid with a 10-sided base.
A 14
C 18
B 16
D 20
58 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
Which of the following describes the figure?
A cylinder
B pyramid
C cone
D sphere
Name
Date
Standards Practice
Geometry PASS 3.1 (continued)
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
8 A prism has 15 edges, 10 vertices, and 7 faces. Which polygon is the
base of the prism?
A triangle
B rectangle
C pentagon
D hexagon
8
9 Which pair of solids best
describes the ice cream cone?
A cone and sphere
B triangular prism and cone
C cube and sphere
D cone and rectangular pyramid
9
10 A horizontal cut is made in a rectangular
pyramid, and the top is removed. What is the
shape of the top of the new figure?
A triangle
B rectangle
C circle
D pentagon
10
11 A cereal box is best described by which figure?
A prism
B pyramid
C cylinder
D cube
11
OCCT, Grade 8
59
Name
Date
Standards Practice
Geometry PASS 3.2 (continued)
Develop the Pythagorean Theorem and apply the formula to find the length of missing
sides of a right triangle and the length of other line segments.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1
1 Find the missing measure of right triangle ABC.
A 48
A
B 72
78 m
C 83.6
30 m
D 88
a m
B
2 Which numbers represent the sides of a right triangle?
A 4, 5, 6
B 6, 8, 12
C 5, 12, 13
D 10, 12, 15
2
3 One leg of a right triangle is 18 inches and the other leg is 28 inches.
How long is the hypotenuse of the triangle?
A 10 in.
B 22.4 in.
C 26.2 in.
D 33.3 in.
3
4 How long is the diagonal brace?
A 7.6 ft
B 8.4 ft
C 9.2 ft
D 10.5 ft
4
4 ft
6.5 ft
60 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
C
Name
Date
Standards Practice
Geometry PASS 3.2 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5 Find the length of the hypotenuse in the right triangle shown below.
Round to the nearest tenth if necessary.
A 26.9 yd
B 19.0 yd
C 18.9 yd
20 yd
18 yd
D 12 yd
5
Copyright © Glencoe/McGraw-Hill
c yd
6 During a flying lesson, a student flies an airplane 4 miles due north
and then turns and flies 12 miles due east. How far is the plane from
its starting point? Round to the nearest tenth if necessary.
A 6.9 mi
B 8 mi
C 12.6 mi
D 16 mi
6
7 The International Code of
Signals flag for the letter O
is composed of a red right
triangle and a yellow right
triangle. Find the length of
the diagonal seam in the flag
shown at the right. Round
to the nearest tenth if
necessary.
A 142.6 cm
B 219.8 cm
C 314.2 cm
D 442 cm
7
244 cm
198 cm
8 Mr. Marks has planted a new tree in his yard and is installing a support
wire to help the tree become established. He placed a stake in the ground
4 feet from the base of the tree and attached a 10-foot wire to the stake.
About how far up the trunk of the tree should Mr. Marks attach the wire?
A 9.2 feet
B 6.3 feet
C 6 feet
D 4.9 feet
8
OCCT, Grade 8
61
Name
Date
Standards Practice
Measurement PASS 4.1
Estimate and find the surface area and volume in real-world settings (e.g., unwrap a box to
explore surface area; use rice, 1-inch cubes, centimeter cubes, cups . . . to estimate the
volume of boxes, irregular shaped objects, containers).
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 The edges of a box shaped like a cube are 9 inches. How many smaller
boxes shaped like cubes with edges of 3 inches can fit inside the larger
box?
A 3
B 9
C 27
D 54
1
2 The surface of a cylindrical-shaped water tank needs to be painted. The
bottom of the tank will not be painted. The tank has a radius of 4 feet
and a height of 7 feet. What is the surface area of the tank in terms of
square feet?
SAcylinder 2rh 2r2
2
C 56 square feet
D 16 square feet
3 A solid cylinder with radius 3 inches and height 5 inches is placed inside
a hollow cylinder with radius 5 inches and height 6 inches. How much
space inside the larger cylinder is not taken by the smaller cylinder?
Vcylinder 2r2h
A 45 cubic inches
B 105 cubic inches
4 Maria is wrapping a box shaped
like a triangular prism shown below.
SAprism Ph 2B
What is the surface area of the box?
A 96 square inches
B 102 square inches
C 108 square inches
D 120 square inches
3
C 150 cubic inches
D 195 cubic inches
4
5 in.
8 in.
4 in.
3 in.
62 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
A 88 square feet
B 72 square feet
Name
Date
Standards Practice
Measurement PASS 4.1 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5 A room is the shape of a prism. Its dimensions are 15 feet long, 14 feet
wide, and 9 feet tall. How much wallpaper is needed for the walls?
A 1,890 square feet
B 942 square feet
C 690 square feet
D 522 square feet
5
6 The glass is in the shape of a cylinder
6
12 mm
2
3
and is full. How much liquid is in the
glass?
A 1,920 cubic millimeters
B 720 cubic millimeters
C 480 cubic millimeters
D 240 cubic millimeters
20 mm
7
Copyright © Glencoe/McGraw-Hill
7 Find the surface area of the box shown below.
7 ft
6 ft
9 ft
A
B
C
D
378 square feet
318 square feet
276 square feet
159 square feet
OCCT, Grade 8
63
Name
Date
Standards Practice
Measurement PASS 4.1 (continued)
8 Terrance wants to build a square pyramid with the greatest possible
volume. Which dimensions would Terrance choose?
A base length 5 meters, height 6 meters
B base length 6 meters, height 5 meters
C base length 4 meters, height 10 meters
D base length 12 meters, height 1 meters
8
9 The surface area of a cylindrical container is 144 square inches. Its
radius is 6 inches. What is the height of the container?
A 16 inches
B 12 inches
C 6 inches
D 4 inches
9
10 Warren needs to identify the dimensions of a cylinder whose volume is
closest to 160 cubic feet. Which dimensions should he choose?
A radius 5 feet, height 2 feet
B radius 4 feet, height 4 feet
C radius 3 feet, height 5 feet
D radius 6 feet, height 3 feet
10
11 How many cubes did Karla place in the prism?
11
A
B
C
D
41
42
76
82
64 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Name
Date
Standards Practice
Measurement PASS 4.2
Apply knowledge of ratio and proportion to solve relationships between similar geometric
figures (e.g., build a model of a 3-dimensional object to scale).
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 Triangle DOG is similar to triangle CAT.
1
A
O
12
x
7.2
D
G
C
T
Find the value of x.
A 8
B 18
C 24
D 27
2 Triangle ABC is similar to triangle ADE.
2
B
6
D
Copyright © Glencoe/McGraw-Hill
3
A
5
E
10
C
What is the ratio of the length of a side of triangle ABC to the length of
a side of triangle ADE?
2
A 7
3
B 1
1
C 2
2
D 3
OCCT, Grade 8
65
Name
Date
Standards Practice
Measurement PASS 4.2 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
3 The map is drawn on a scale of 1 inch : 4 miles. If Asher is 6 inches from
Roff on the map, what is the actual distance from Asher to Roff?
A 12 miles
B 16 miles
C 20 miles
D 24 miles
3
4 An artist is painting a tree. The artist is drawing the tree with a scale of
3 inches : 10 feet. The tree is 77 feet tall. How many inches tall is the
tree in the painting?
A 231 inches
B 30 inches
4
2
3
C 25 inches
5 Two equilateral triangles are drawn using a scale of 3 : 4. The side length
of the smaller triangle is 12 centimeters. Find the perimeter of the larger
triangle.
A 48 centimeters
B 36 centimeters
C 27 centimeters
D 16 centimeters
5
6 Two similar pyramids are in a scale of 2 : 5. In the larger pyramid, the
height is 16 feet, the slant height is 20 feet, and the perimeter of the base
is 96 feet. What is the slant height of the smaller pyramid?
A 6.4 feet
B 8 feet
C 38.4 feet
D 50 feet
6
66 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
D 23.1 inches
Name
Date
Standards Practice
Measurement PASS 4.2 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
7 Which of the following statements is true?
A All rhombuses are similar.
B All rectangles are similar.
C All trapezoids are similar.
D All squares are similar.
7
8 The two cones shown are similar. Find the radius of the base of the
smaller cone.
8
6 in.
3 in.
4 in.
A
B
C
D
2 inches
4 inches
6 inches
8 inches
9 Which of the following correctly identifies the similar triangles shown in
the diagram?
9
Copyright © Glencoe/McGraw-Hill
N
R
M
A
B
C
D
S
P
MNP ∼ SNR
MNP ∼ RNS
MNP ∼ NSR
MNP ∼ NRS
OCCT, Grade 8
67
Name
Date
Standards Practice
Measurement PASS 4.2 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
10 Which of the following pairs of rectangles are similar?
A Rectangle 1: length 5 inches, width 4 inches
Rectangle 2: length 20 inches, width 12 inches
B Rectangle 1: length 8 inches, width 8 inches
Rectangle 2: length 4 inches, width 16 inches
C Rectangle 1: length 24 inches, width 16 inches
Rectangle 2: length 32 inches, width 12 inches
D Rectangle 1: length 13 inches, width 7 inches
Rectangle 2: length 65 inches, width 35 inches
10
11 In the afternoon, a 10-foot shadow is cast by a man who is 6 feet tall.
How long is the shadow that is cast by a pole that is 21 feet tall?
A 35 feet
C 24 feet
B 30 feet
D 18 feet
11
12 In the diagram, rectangle
ABCD is similar to rectangle
BFEA. Find the
length of AD
.
A 4 meters
B 10 meters
C 12.5 meters
D 17.5 meters
12
B
F
C
A 2mE
D
5m
9 in.
What are the lengths of each edge of the larger cube?
A 45 inches
C 5 inches
B 15 inches
D 3 inches
68 OCCT, Grade 8
13
Copyright © Glencoe/McGraw-Hill
13 The two cubes shown are similar by the scale of 3 : 5.
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.a
Select and apply appropriate formulas for given situations:
I. an equation (e.g., d rt, I prt)
II. measurement problems (e.g., p 2l 2w, v lwh)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 A car travels at an average rate of 50 miles per hour. Which formula can
be used to find the time it takes the car to travel 300 miles?
A t dr
1
d
r
r
C t d
B t D trd
9
5
2 The formula F C 32 can be used to convert the temperature in
2
Copyright © Glencoe/McGraw-Hill
Celsius to Fahrenheit. Convert 15°C to Fahrenheit.
A 27°F
B 35°F
C 59°F
D 84.6°F
3 The shape of a window is made up of a
square and a semicircle. Which formula
can be used to find the area (A) of the
window?
A A 4x2 x2
B A 4x2 2x2
3
2x
1
2
1
2
D A 4x x2
2
C A 4x x2
OCCT, Grade 8
69
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4 The amount of simple interest I that is earned in one year by investing P
dollars at an annual rate r is I Pr. Suppose you and your brother invest
some money with an annual rate of 5%. You invest $200, and your
brother invests $160. How much more interest do you earn in one year?
A $2
B $8
C $10
D $18
4
5 The circle fits exactly inside the square.
5
2x
6 The two circles in the diagram have the same center. Find the area of the
larger circle in terms of square centimeters.
4 cm
A
B
C
D
16 square centimeters
20 square centimeters
36 square centimeters
40 square centimeters
70 OCCT, Grade 8
2cm
6
Copyright © Glencoe/McGraw-Hill
Which of the following formulas can be used to find the area (A) of the
circle?
A A s2
B A 2s2
C A 2s
D A 4s2
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
7 A hemisphere is one-half of a sphere. Find the volume of the hemisphere
shown in terms of cubic feet.
7
4
3
Vsphere r3
3 ft
1
2
A 4 cubic feet
Copyright © Glencoe/McGraw-Hill
B 18 cubic feet
C 36 cubic feet
D 48 cubic feet
8 A rectangle has length and width w. The perimeter of the rectangle is
p 2 2w. Find the formula of the rectangle formed by increasing
the length by 3 and the width by 2.
A p 2 2w 4
B p 2 2w 5
C p 2 2w 6
D p 2 2w 10
8
9 The distance (d) an object falls t seconds after being dropped is given by
the formula, d 16t2. A ball is dropped from a tall building. How far
does it fall in the first 1.5 seconds?
A 16 feet
B 24 feet
C 36 feet
D 48 feet
9
OCCT, Grade 8
71
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
10 Suppose the radius (x) of a circle is doubled. What is the formula for the
circumference of the larger circle?
A C x
B C 2x
C C 4x
D C 8x
10
11 A train travels at an average rate of 60 miles per hour for 7 hours. Which
formula can be used to find the distance the train travels?
11
r
t
A d B d rt
C drt
t
r
D d (2w 3) in.
w in.
13 Which formula can be used to find the area of a circle with radius 3s?
A A 9s
B A 12s
C A 6s2
D A 9s2
72 OCCT, Grade 8
12
Copyright © Glencoe/McGraw-Hill
12 Which formula can be used to find
the perimeter (p) of the rectangle?
A p 3w 3
B p w(2w 3)
C p 8w 12
D p 6w 6
13
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.b
Find the area of a “region of a region” for a simple composite figures (e.g., area of a
rectangular picture frame).
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 A rectangular pool is 30 meters long and 20 meters wide. A walkway
2 meters wide surrounds the pool.
1
30 m
20 m
2m
Find the area of the walkway.
A 104 square meters
B 184 square meters
C 216 square meters
D 600 square meters
2 The drawing below shows two semi-circles attached to each end of a
rectangle.
2
Copyright © Glencoe/McGraw-Hill
6 cm
If the area of the rectangle is 12 square centimeters, what is the area of
the shaded region in terms of square centimeters?
A square centimeters
B 2 square centimeters
C 4 square centimeters
D 8 square centimeters
OCCT, Grade 8
73
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
3 The drawing shows isosceles triangle PQR drawn inside circle O. Each
vertex of the triangle is on the circumference of the circle.
1
2
3
Q
Area triangle bh
P
O
R
If the area of the circle is 16 square inches, find the area of the
triangle.
A 8 square inches
B 16 square inches
C 32 square inches
D 48 square inches
4 The two circles in the diagram have the same center. Find the area of the
shaded region.
A
B
C
D
2 cm
16 square centimeters
20 square centimeters
36 square centimeters
40 square centimeters
5 The diagonals of a square form 4 congruent isosceles triangles. If the
perimeter of the square is 8 feet, find the area of one of the triangles.
A 1 square foot
B 2 square feet
C 4 square feet
D 8 square feet
74 OCCT, Grade 8
5
Copyright © Glencoe/McGraw-Hill
4 cm
4
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
6 The figure is formed by attaching 4 semi-circles to the sides of a square.
6
2 mm
Find the area of the shaded part of the figure in terms of square
millimeters.
A square millimeters
B 2 square millimeters
C 4 square millimeters
D 8 square millimeters
Copyright © Glencoe/McGraw-Hill
7 The circle fits exactly inside the square. Find the area of the shaded
region in terms of square inches.
7
2 in.
A
B
C
D
(4 4) square inches
(4 2) square inches
(4 ) square inches
(8 2) square inches
OCCT, Grade 8
75
Name
Date
Standards Practice
Measurement: Formulas PASS 4.3.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
8 Sylvia has a poster that is 24 inches long and 20 inches wide. Before
hanging it, she wants to put a 2-inch frame around it. What is the area of
the frame?
A 92 square inches
B 192 square inches
C 480 square inches
D 572 square inches
8
9 The diameter of the circle shown below is 10 meters.
9
10 m
10 The semi-circle has an area of 8 square centimeters.
Find the area of the rectangle.
A 2 square centimeters
B 8 square centimeters
C 16 square centimeters
D 32 square centimeters
76 OCCT, Grade 8
10
Copyright © Glencoe/McGraw-Hill
What is the area of the shaded region in terms of square meters?
A 12.5 square meters
B 25 square meters
C 50 square meters
D 100 square meters
Name
Date
Standards Practice
Data Analysis and Statistics PASS 5.1
Select and apply appropriate formats (e.g., line plots, bar graphs, stem-and-leaf plots,
scatter plots, histograms, circle graphs) to display collected data.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 The table at the right shows the number
of students at a high school.
Freshmen
Sophomores
Juniors
Seniors
624
648
576
552
1
Which would be the best graph to compare the number of students in
each class?
A
High School Students
Freshmen
26%
Juniors
24%
Seniors
23%
High School Students
Number of Students
B
Sophomores
27%
700
650
600
550
500
0
9 10 11 12
Grade
C Stem
55
Leaf
2
Copyright © Glencoe/McGraw-Hill
56
57
6
58
59
60
61
62
4
63
64
62/4 624
8
D
550
575
600
625
650
OCCT, Grade 8
77
Name
Date
Standards Practice
Data Analysis and Statistics PASS 5.1 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
2 Every year for 10 years a survey is taken of the number of people that
own CD players. Which would be the best way to display the results of
the survey?
A stem-and-leaf plot
B line plot
C line graph
D circle graph
2
3 The stem-and-leaf plot shows the ages of the players on a professional
basketball team. How many players are at least 25 years old?
3
Stem
A
B
C
D
Leaf
1
9
2
145556779
3
3
4
0
3/3 33
3
6
9
12
4 The students in a class were asked how many hours they usually spend
on homework each night. The graph displays the data. How many
students usually spend at most 1.9 hours doing homework?
4
0–0.9 1–1.9 2–2.9 3–3.9
Number of Hours
A
B
C
D
10
12
15
17
78 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
Number of Students
Hours on Homework
14
12
10
8
6
4
2
0
Name
Date
Standards Practice
Data Analysis and Statistics PASS 5.1 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5 Determine the set of data represented by the box-and-whisker plot.
32
Copyright © Glencoe/McGraw-Hill
A
B
C
D
36
40
44
48
5
52
34, 34, 37, 35, 36, 51, 38
36, 34, 39, 38, 51, 44, 46
35, 36, 43, 39, 44, 34, 51
40, 34, 51, 39, 45, 37, 45
6 In her aquarium, Jules has 5 goldfish, 3 tetras, 2 angelfish, 2 frogs,
3 snails, and 5 zebra fish. Which of the following data displays would
not be useful for displaying this data?
A line graph
B bar graph
C frequency plot
D circle graph
6
7 Which of the following pieces of information can be determined from a
box-and-whisker plot?
A the number of items in the set of data
B the median of the data
C the frequency of each item in the set of data
D how a set of data is changing over time
7
8 You gathered data on the heights of the students in your class. Which
display could be used to show each of the heights individually?
A box-and-whisker plot
B histogram
C stem-and-leaf plot
D circle graph
8
OCCT, Grade 8
79
Name
Date
Standards Practice
Data Analysis and Statistics PASS 5.1 (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 The frequency table shows the number of books that students in a class
read over the summer.
Number of
Books Read
1–2
3–4
5–6
7–8
9–10
11–12
9
Number of
Students
3
4
10
5
1
2
Which of the following graphs best displays the data in the frequency
table?
Books Read in Summer
3-4 books
4%
1-2 books
3%
11-12 books
2%
9-10 books
1%
7-8 books
5%
5-6 books
10%
B
12
10
8
6
4
2
0
Books Read in Summer
60
50
40
30
20
10
0
0–2
3–4
5–6
7–8 9–10 11–12
Number of Books
D Books Read in Summer
5-6 books
10%
3-4 books
4%
1-2 books
3%
0–2
3–4
5–6
7–8 9–10 11–12
Number of Books
80 OCCT, Grade 8
7-8 books
5%
11-12 books
2%
9-10 books
1%
Copyright © Glencoe/McGraw-Hill
Number of Students
Books Read in Summer
C
Number of Students
A
Name
Date
Standards Practice
Data Analysis and Statistics: Measures of Central Tendency PASS 5.2.a
Find the measures of central tendency (mean, median, and mode) of a set of data and
understand why a specific measure provides the most useful information in a given context.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 Look at the following set of data.
1
17, 35, 22, 28, 22, 29
Copyright © Glencoe/McGraw-Hill
What is the mean of the data?
A 22
B 25
C 25.5
D 29
2 At the grocery store, Tamara bought 6 items. The costs of the items were
$8.99, $16.25, $4.79, $0.99, $3.49, and $7.25. Find the mean price for
the items Tamara bought.
A $7.25
B $6.96
C $6.54
D $6.02
2
3 Find the mode of the data shown in the stem-and-leaf plot.
Stem Leaf
A 85
6
77
B 77
7
3689
C 76
8
35
7/3 73
D 67
3
4 The range of three positive whole numbers is 20. The mean of the three
numbers is 8. Which number is the largest of the three numbers?
A 7
B 19
C 21
D 25
4
OCCT, Grade 8
81
Name
Date
Standards Practice
Data Analysis and Statistics: Measures of Central Tendency PASS 5.2.a (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5 The stem-and-leaf plot displays a set of data. Which stem contains the
median?
Stem
Leaf
2
9
3
14
4
4
5
001
4/4 44
2
3
4
5
6 Kimo buys four CDs. The mean price of the CDs is $15.49. If he buys a
fifth CD for $17.99, find the mean price of the five CDs.
A $15.99
B $16.74
C $16.99
D $17.49
6
7 Which set of data has a greater mean than median?
A 17, 9, 16, 14, 15, 15
B 32, 35, 20, 36, 39, 34
C 4, 4, 5, 5, 4, 1
D 23, 24, 39, 28, 30, 24
7
8 A small dental office has 6 employees. The dentist’s salary is $129,000.
The 3 hygienists each earn $52,000, the office manager earns $44,000,
and the receptionist earns $33,000. If a hygienist is interviewing for a
position, which measure of central tendency would be most useful in
evaluating his or her potential salary? Explain.
A mean; Each salary is represented in the calculations.
B mode; The mode is what most employees earn.
C median; It is the measure that is one of the salaries in the data set.
D mean; The mean is the highest measure of central tendency.
8
82 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
A
B
C
D
5
Name
Date
Standards Practice
Data Analysis and Statistics: Measures of Central Tendency PASS 4.2
Compute the mean, median, and mode for data sets and how additional data in a set may
affect the measures of central tendency.
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 A set of data has a mean of 40, a median of 38, a mode of 32, and a
range of 26. If 39 is added to the data set, which of the following is
possible?
A the mean increases
B the median increases
C the median decreases
D the range increases
1
2 The mean score on Kaylee’s six math tests is 83%. What score must she
receive on her next math test to have a mean score of 85%?
A 85%
B 88%
C 95%
D 97%
2
3 The bar graph shows Carlos’s height over 6 years. What was Carlos’s
mean height over this period of time? If Carlos’s height in year 7 is
added to the data set, how would you expect the mean to be affected?
3
Carlos’s Height
6’
5’10”
Height
Copyright © Glencoe/McGraw-Hill
5’8”
5’6”
5’4”
5’2”
5’
4’10”
0
1
2
3
4
5
6
Year
A
B
C
D
5 feet 4 inches; raised
5 feet 5 inches; raised
5 feet 5 inches; remain the same
5 feet 7 inches; remain the same
OCCT, Grade 8
83
Name
Date
Standards Practice
Data Analysis and Statistics: Measures of Central Tendency PASS 5.2.b (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4
4 If a data value of 61 is added to the data set graphed below, which
measure of central tendancy is most affected? How is the measure
affected?
5
A
B
C
D
10
15
20
25
30
35
40
45
50
55
60
mean; The mean increases by 1.
median; The median increases by 1.
mode; The mode increases by 2.
mean; The mean decreases by 1.
5 Consider the data shown in the graph in Problem 4. If a data value of 61
is added to the data set, which measure of central tendancy is least
affected? How is the measure affected?
A mean; The mean increases by 1.
B median; The median increases by 0.5.
C mode; The mode is unchanged.
D median; The median is unchanged.
5
6 Consider the set of data 29, 34, 33, 42, and 42. If 30 is added to the set,
how is the mean affected?
A the mean is decreased by 1
B the mean remains the same
C the mean is increased by 1
D the mean is the same as the median
6
84 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
0
Name
Date
Sample Test 1
Test Practice
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 Two similar pyramids are in a scale of 3 : 4. In the larger pyramid, the
height is 12 feet, the slant height is 20 feet, and the perimeter of the base
is 128 feet. What is the slant height of the smaller pyramid?
A 15 feet
B 16 feet
C 21 feet
D 27 feet
1
2 Neptune is approximately 4.50 109 kilometers from the sun. Which
shows 4.50 109 in standard notation?
A 45,000,000
B 450,000,000
C 4,500,000,000
D 450,000,000,000
2
3 The graph at the right represents the equation
created when the slope of the equation
y 2x 2 is changed. What was the slope
changed to?
A 3
3
y
O
x
1
3
Copyright © Glencoe/McGraw-Hill
B 1
C 3
D 3
4 One mil is equal to 0.0254 millimeters. Which shows 0.0254 in
scientific notation?
A 2.54 103
B 2.54 102
C 2.54 101
D 2.54 102
4
Go on
OCCT, Grade 8
85
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
5 At the convenience store, Ariel bought 5 items. The costs of the items
were $3.95, $3.99, $4.55, $9.30, and $12.51. Find the mean price for the
items Ariel bought.
A $4.55
B $6.76
C $6.86
D $8.76
5
6 What is the simplest form of the following expression?
6
7 Nick and Charlie ate breakfast at a local restaurant. Their total bill was
$14.50. They left a 20% tip. How much was the tip?
A $1.45
B $2.00
C $2.80
D $2.90
7
8 A rectangular hot tub is 6 feet long and
5 feet wide. A walkway 3 feet wide
surrounds the hot tub.
8
Find the area of the walkway.
A 30 square feet
B 65 square feet
C 102 square feet
D 132 square feet
86 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
4n8 5n2
A 20n10
B 20n16
C 9n10
D 9n16
Go on
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 Marissa and her friend are building a storage box. Which of the
following dimensions will give the greatest volume?
9
Vrectangular prism wh
A
B
C
D
5 feet 4 feet 2 feet
4 feet 4 feet 4 feet
3 feet 5 feet 2 feet
2 feet 6 feet 2 feet
10 The solution to which inequality is shown on the following graph?
10
Copyright © Glencoe/McGraw-Hill
A
B
C
D
8
6
4
2
0
2
4
6
8
10
10
5x 2 8
5x 2 8
5x 2 8
5x 2 8
11 Which figure has the greatest number of edges?
A triangular prism
B square pyramid
C cube
D pentagonal pyramid
11
12 Jeri asked 84 of her classmates whether or not they like to eat lunch at
school. She found that 4 out of every 7 of her classmates like to eat
lunch at school. Which proportion could be used to determine the
number of Jeri’s friends who like to eat lunch at school?
12
c
4
A 7
84
c
7
B 4
84
4
84
C 7
c
84
4
D 7
c
Go on
OCCT, Grade 8
87
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
13
13 The figure is the top view of a
three-dimensional solid.
Which of the following describes
the figure?
A prism
B pyramid
C cone
D cylinder
14 The solution to which equation is represented by the graph below?
10
6
4
2
0
2
4
6
8
10
2x 4 4
2x 4 4
2x 4 4
2x 4 4
15 Which of the following correctly
identifies the similar triangles shown
in the diagram?
A DEF GHE
B DEF EHG
C DEF HGE
D DEF GEH
15
E
G
H
D
16 Every year for 10 years a survey is taken of the number of people that
own SUVs. Which would be the best way to display the results of the
survey?
A box-and-whisker plot
B stem-and-leaf plot
C histogram
D bar graph
88 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
A
B
C
D
8
14
F
16
Go on
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
17 James bought 8 tropical fish for the same price at the pet store. He paid
$5.75 tax on the fish. His final bill was $77.67. What equation can be
used to find the cost of each fish ( f ) he bought?
A f 5.75 77.67
B 8 5.75f 77.67
C 8f 5.75 77.67
D 5.75f 8 77.67
17
18 What is the simplest form of the following expression?
18
a12
a4
A
B
C
D
a16
a8
a3
a 8
Copyright © Glencoe/McGraw-Hill
19 Four out of every nine students at Central Middle School are in the band. 19
If there are 540 students at Central Middle School, how many students
are in the band?
A 240
C 126
B 135
D 60
20 Which is closest to the product of 0.3267 and 0.1891?
A 10
B 1
C 0.6
D 0.06
20
21 The radii of two boxes shaped like cylinders are equal. The height of one
box is half the height of the other box. How many times more volume
does the tall box have?
21
Vcylinder r2h
A 4
B 2
C 0.5
D 0.25
Go on
OCCT, Grade 8
89
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
22 Don needs to write a true statement for a friend that compares two
numbers. Which statement below is true?
9
A 0.09
4
C 0.85
10
1
B 0.25
5
5
D 3 2
23 Which graph best represents the equation created when the slope of
y 3x 2 is changed to 2?
y
y
A
C
D
x
O
x
O
y
23
y
O
x
24 The members of a soccer team were asked how many hours they usually
practice each week. The graph displays the data. How many members
usually spend at least 4 hours practicing each week?
24
Copyright © Glencoe/McGraw-Hill
x
O
B
22
Number of Members
Practice Hours
12
10
8
6
4
2
0
0–1.9 2–3.9 4–5.9 6–7.9
Number of Hours
A 8
B 15
90 OCCT, Grade 8
C 18
D 26
Go on
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
25 A can of soup is best described by which figure?
A cylinder
B pyramid
C cone
D prism
25
26 Determine the set of data represented by the box-and-whisker plot.
26
20
A
B
C
D
22
24
26
28
30
32
34
36
22, 26, 29, 30, 37, 21
22, 27, 28, 35, 32, 26
23, 29, 35, 22, 25, 27
30, 26, 37, 29, 22, 21
27 Misti has a box that is shaped like a square pyramid. The base of the box
has an area of 49 square centimeters and a perimeter of 28 centimeters.
The slant height of the box is 11 centimeters. Find the surface area of
the pyramid.
27
1
2
Copyright © Glencoe/McGraw-Hill
SApyramid B P
A
B
C
D
105 square centimeters
203 square centimeters
480 square centimeters
690 square centimeters
28 While shopping at a shoe store, Ria bought a pair of shoes that were
marked $29.95. She had to pay 8.2% sales tax. Which expression could
she use to determine the total cost of the shoes including tax?
A 29.95 0.082
B 29.95 0.082
C 29.95 (29.95 0.082)
D 29.95 (29.95 0.082)
28
Go on
OCCT, Grade 8
91
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
29 The stem-and-leaf plot shows the ages of the students in a college math
class. How many members are at most 22 years old?
Leaf
1
9 9 9
2
1 2 2 3 4 5 8 9
3
2
4
3
21 21
6
7
9
22
30 Which of the following pieces of information can be determined from a
circle graph?
A how different categories in the set of data compare
B the mean of the data
C the range of the data
D the mode of the data
30
31 Which solution makes 4t 6 8 true?
A t2
B t
2
31
1
2
1
D t 2
Copyright © Glencoe/McGraw-Hill
A
B
C
D
Stem
29
C t 92 OCCT, Grade 8
Go on
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
32
32 Look at the following set of data.
24, 14, 29, 14, 18, 36, 19
If 38 is added to the set, how is the mean affected?
A The mean remains the same.
B The mean is increased by 1.
C The mean is increased by 2.
D The mean is increased by 2.5.
33 A box is 8 centimeters long, 4 centimeters wide, and 6 centimeters tall.
What is the surface area of the box?
33
SArectangular prism 2(w wh h)
Copyright © Glencoe/McGraw-Hill
A
B
C
D
384 square centimeters
208 square centimeters
192 square centimeters
118 square centimeters
34 Which set of data has the same mean and median?
A 51, 52, 43, 44, 42, 45, 46
B 40, 47, 46, 49, 51, 50, 48
C 49, 50, 52, 40, 43, 46, 45
D 46, 50, 49, 42, 45, 47, 43
34
35 The drawing shows isosceles triangle ABC drawn inside circle P. Each
vertex of the triangle is on the circumference of the circle.
35
1
2
Areatriangle bh
B
A
P
C
If the area of the circle is 100 square inches, find the area of the triangle.
A 25 square inches
C 100 square inches
B 50 square inches
D 200 square inches
Go on
OCCT, Grade 8
93
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
36 Which of the following is a possible base for a cylinder?
A circle
B triangle
C rectangle
D hexagon
36
37 Which number line shows the graph of the set of numbers that makes the 37
following inequality true?
3x 5 4
A
10
8
6
4
2
0
2
4
6
8
10
B
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
C
D
8
6
4
2
0
2
4
6
8
10
38 The mean score on Enrique’s four science tests is 88%. What score must
he receive on his next science test to have a mean score of 90%?
A 98%
B 95%
C 90%
D 88%
94 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
10
38
Go on
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
39 A car travels 125 miles in 90 minutes. Which formula can be used to
find the rate the car traveled?
39
d
t
t
B r d
A r C r dt
D rtd
40
40 A rectangle has length and width w. The perimeter of the rectangle is
p 2 2w. Find the formula of the rectangle formed by increasing the
length by 5 and the width by 2.
A p 2 2w 10
B p 2 2w 14
C p 2 2w 24
D p 2 2w 40
Copyright © Glencoe/McGraw-Hill
41 Triangle PQR is similar to triangle PST.
41
Q
8
S
6
P
10
T
x
Find the approximate value of x.
A 4.8
B 12
C 13.3
D 14
R
Go on
OCCT, Grade 8
95
Name
Date
Sample Test 1
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
42 A map is drawn on a scale of 1 inch : 10 miles. If Chelsea is 7 inches
from Oilton on the map, what is the actual distance from Chelsea to
Oilton?
A 3 miles
B 17 miles
C 24 miles
D 70 miles
42
43 Which number is in the solution to 7 8q 9?
43
A 4
3
C B 1
D 3.5
4
45 The graph below best represents which equation?
44
14 in.
45
Copyright © Glencoe/McGraw-Hill
44 The support for a sign forms a right triangle
with the wall and the top edge of the
sign. How long is the sign support?
Round to the nearest tenth if
necessary.
Pie in the Sky
Coffee &
A 27.8 in.
Baked Goods
B 19.5 in.
C 18.3 in.
24 in.
D 10 in.
y
O
A y 3x 2
B y 3x 2
96 OCCT, Grade 8
x
C y 3x 2
D y 3x 2
STOP
Name
Date
Sample Test 2
Test Practice
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
1 Which number line shows the graph of the set of numbers that makes the
following inequality true?
1
4x 3 11
A
10
8
6
4
2
0
2
4
6
8
10
B
10
8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
0
2
4
6
8
10
C
D
10
8
6
4
2
0
2
4
6
8
10
2 Which number is in the solution to 5 6v 23?
2
1
2
A 5
Copyright © Glencoe/McGraw-Hill
B 4.2
C 3
D 0
3 Mr. Chan asked 56 of his students if they had a pet. He found
that 3 out of every 4 of his students have a pet. Which proportion
could be used to determine the number of Mr. Chan’s students
who have pets?
3
4
s
A 56
3
s
3
B 56
4
s
4
C 56
3
3
56
D 4
s
Go on
OCCT, Grade 8
97
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
4 A fish aquarium is best described by which figure?
A prism
C cylinder
B pyramid
D cone
4
5 One square millimeter is equal to 0.002 square inches. Which shows
0.002 in scientific notation?
A 2 103
B 2 102
C 2 102
D 2 103
5
6 Every year for 15 years a survey is taken of the number of people that
subscribe to cable television. Which would be the best way to display the
results of the survey?
A histogram
C scatter plot
B circle graph
D bar graph
6
7 The radii of two boxes shaped like cylinders are equal. The height of one
box is five times the height of the other box. How many times more
volume does the taller box have?
7
Vcylinder r2h
5
10
15
25
8 Three out of every ten students at Jones Middle School are in the
eighth grade. If there are 420 students at Jones Middle School, how
many students are in the eighth grade?
A 140
B 126
C 84
D 42
98 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
A
B
C
D
8
Go on
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
9 A box is 10 centimeters long, 7 centimeters wide, and 6 centimeters tall.
What is the surface area of the box?
9
SArectangular prism 2(w wh h)
A 23 square centimeters
B 344 square centimeters
C 420 square centimeters
D 840 square centimeters
10 Which of the following correctly identifies the similar triangles shown in 10
the diagram?
S
U
R
Copyright © Glencoe/McGraw-Hill
A
B
C
D
V
T
RST RVU
RST RUV
RST UVR
RST VUR
11 The graph at the right represents the
equation created when the slope of the equation
y 3x 2 is changed. What
was the slope changed to?
A 1
11
y
O
x
1
B 2
1
2
C Go on
D 1
OCCT, Grade 8
99
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
12 Determine the set of data represented by the box-and-whisker plot.
12
14 16 18 20 22 24 26 28 30 32 34 36 38 40
A
B
C
D
38, 30, 38, 15, 18, 19, 31
34, 38, 15, 17, 25, 19, 30
25, 32, 38, 15, 28, 20, 24
20, 25, 15, 32, 38, 30, 31
13 Gwen needs to identify a true statement for a bonus question on a test
that compares two numbers. Which statement below is true?
13
3
A = 0.8
5
1
4
B 0.4 7
C 0.65
10
D 6 4
14 Christa and her sister are building a dog house. Which of the following
dimensions will give the greatest volume?
14
Vrectangular prism wh
3 meters 2 meters 4 meters
3 meters 5 meters 2 meters
4 meters 6 meters 2 meters
4 meters 4 meters 4 meters
15 Patricia and Brianna ate lunch at a local restaurant. Their total bill was
$18.95. They left a 20% tip. How much was the tip?
A $3.89
C $2.80
B $3.79
D $1.90
100 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
A
B
C
D
15
Go on
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
16 Two similar pyramids are in a scale of 4 : 9. In the smaller pyramid, the
height is 8 inches, the slant height is 10 inches, and the perimeter of the
base is 48 inches. What is the height of the larger pyramid?
A 3.6 inches
B 18 inches
C 21.3 inches
D 22.5 inches
16
17 Triangle KLM is similar to triangle HIJ.
17
H
K
18
14.4
L
M I
17
J
x
Find the approximate value of x.
A 9.7
B 13.6
C 14.1
D 21.3
18 The drawing shows isosceles triangle FEG drawn inside circle P. Each
vertex of the triangle is on the circumference of the circle.
1
2
Copyright © Glencoe/McGraw-Hill
Areatriangle bh
18
E
F
P
G
If the area of the circle is 144 square inches, find the area of the
triangle.
A 36 square inches
B 72 square inches
C 144 square inches
D 288 square inches
Go on
OCCT, Grade 8
101
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
Gymnastics Practice
Number of Members
19 The members of a gymnastics team
were asked how many hours they
usually practice each week. The graph
displays the data. How many team
members usually spend fewer than
9 hours practicing each week?
A 8
B 12
C 23
D 31
19
12
10
8
6
4
2
0
0–2.9 3–5.9 6–8.9 9–11.9
Number of Hours
20
21 Which set of data has the same mean and median?
A 43, 50, 42, 34, 40
C 50, 42, 34, 41, 44
B 38, 50, 46, 34, 42
D 52, 44, 34, 42, 40
21
22 A rectangular patio is 25 feet long and 15 feet wide. A brick walkway
4 feet wide surrounds the patio.
22
Copyright © Glencoe/McGraw-Hill
20 At the garage sale, Rachel bought 7 items. The costs of the items were
$3.50, $4.75, $0.75, $4.25, $5.75, $6.90, and $2.10. Find the mean price
for the items Rachel bought.
A $5.00
C $4.00
B $4.25
D $3.75
Find the area of the walkway.
A 16 square feet
B 176 square feet
102 OCCT, Grade 8
C 384 square feet
D 759 square feet
Go on
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
23 One leg of a triangle is 28 inches and the hypotenuse is 44 inches.
How long is the other leg of the triangle?
A 16 in.
B 33.9 in.
C 35.1 in.
D 36 in.
23
24 The solution to which inequality is shown on the following graph?
10
8
A 8x 4 28
B 8x 4 28
6
4
2
0
2
4
6
8
10
24
C 8x 4 28
D 8x 4 28
25 What is the simplest form of the following expression?
m12
m6
Copyright © Glencoe/McGraw-Hill
A
B
C
D
25
m2
m6
m2
m6
26 What is the simplest form of the following expression?
5z3 4z6
A 9z9
B 9z18
C 20z9
D 20z18
26
Go on
OCCT, Grade 8
103
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
27 The stem-and-leaf plot shows the ages of the members of a tennis club.
How many members are at least 35 years old?
Stem
Leaf
1
2 8 9
2
1 2 4 4 8
3
5 8 9
4
2 7 9
5
8
27
35 35
A 7
B 8
C 9
D 15
28 Which of the following pieces of information cannot be determined from 28
a scatter plot?
A how different categories in the set of data compare
B the mean of the data
C the range of the data
D the mode of the data
29 The solution to which equation is represented by the graph below?
10
6
4
2
0
2
4
6
8
10
4x 4 8
4x 4 8
4x 4 8
4x 4 8
30 Saturn is approximately 8.404 108 miles from the sun. Which shows
8.404 108 in standard notation?
A 84,040,000
B 840,400,000
C 8,404,000,000
D 84,040,000,000
104 OCCT, Grade 8
Copyright © Glencoe/McGraw-Hill
A
B
C
D
8
29
30
Go on
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
31 The figure is the top view of a three-dimensional solid.
31
Which of the following describes the solid?
A cube
C cone
B pyramid
D cylinder
32
33 While shopping at an electronics store, Leah bought a CD player that was
marked $98.95. She had to pay 8.9% sales tax. Which expression could she
use to determine the total cost of the CD player including tax?
A 98.95 (98.95 0.089)
C 98.95 0.089
B 98.95 (98.95 0.089)
D 98.95 0.089
33
34 The graph below best represents which equation?
34
Copyright © Glencoe/McGraw-Hill
32 Which figure has the least number of faces?
A triangular prism
C rectangular prism
B rectangular pyramid
D triangular pyramid
y
O
1
2
A y x 4
1
2
B y x 4
x
1
2
C y x 4
1
2
D y x 4
Go on
OCCT, Grade 8
105
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
35 A rectangle has length and width w. The perimeter of the rectangle is
p 2 2w. Find the formula of the rectangle formed by increasing the
length by 4 and decreasing the width by 2.
A p 2 2w 4
B p 2 2w 4
C p 2 2w 12
D p 2 2w 12
35
36 Gretchen bought 3 DVDs for the same price at the movie store. She paid
$4.80 tax on the DVDs. Her final bill was $64.77. What equation can be
used to find the cost of each DVD (d) she bought?
A 3d 4.80 64.77
B d 4.80 64.77
C 4.80d 3 64.77
D 3 4.80d 64.77
36
37 Randy has a box that is shaped like a square pyramid. The base of the
box is a square with an area of 100 square centimeters and a perimeter
of 40 centimeters. The slant height of the box is 12 centimeters. Find the
surface area of the pyramid.
37
1
2
SApyramid B P
132 square centimeters
340 square centimeters
640 square centimeters
2,012 square centimeters
38 If a data value of 32 is added to the data set graphed below, which
measure of central tendancy is most affected? How is the measure
affected?
20
A
B
C
D
22
24
26
28
30
32
34
mean; The mean is increased by 1.
mode; The mode is increased by 1.
median; The median is increased by 0.5.
mean; The mean is decreased by 0.5.
106 OCCT, Grade 8
36
38
40
38
42
Copyright © Glencoe/McGraw-Hill
A
B
C
D
44
Go on
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
39 A map is drawn on a scale of 1 inch : 8 miles. If Monroe is 12 inches
from Delaware on the map, what is the actual distance from Monroe
to Delaware?
A 192 miles
B 96 miles
C 20 miles
D 12 miles
39
40 The mean score on Aaron’s five Spanish tests is 74%. What score must he
receive on his next Spanish test to have a mean score of 78%?
A 98%
B 90%
C 88%
D 78%
40
41 Which graph best represents the equation created when the slope of
1
y 2x 4 is changed to ?
41
2
Copyright © Glencoe/McGraw-Hill
A
O
B
C
y
x
O
O
D
y
x
y
x
y
O
x
Go on
OCCT, Grade 8
107
Name
Date
Sample Test 2
Test Practice (continued)
Read each question and choose the best answer. Then write the letter for the
answer you have chosen in the blank at the right of each question.
42 A truck travels 350 miles in 8 hours. Which formula can be used to find
the rate of travel for the truck?
42
t
d
d
B r t
A r 43 Which of the following is not a possible base for a prism?
A pentagon
B square
C circle
D octagon
43
44 Which is closest to the product of 0.8723 and 0.6548?
A 5.7
B 4.8
C 0.7
D 0.6
44
45 Which solution makes 3x 4 5 true?
A x3
B x3
45
1
3
1
D x 3
Copyright © Glencoe/McGraw-Hill
C r dt
D rdt
C x 108 OCCT, Grade 8
STOP