KEY: Mathematics Assessment 6-3
Name: _________________
Date: __________________
5.
Which expression is the same as 3x - 9?
A) 3(x + 3)
DIRECTIONS:
Read each question and determine the best answer.
Fill in the bubble or write the answer in the correct
space on your answer sheet. IN THIS SECTION
YOU CANNOT USE A CALCULATOR.
B) 3(x – 9)
C) 3(x - 3)
D) -3(x + 3)
_______________________________________
1.
Mr. V announced that there is a 20% chance that
the 6th grade trip will have to be cancelled. What
is the probability that the 6th grade trip will be
cancelled?
A.
B.
C.
D.
1
If a vending machine only takes quarters, how
many quarters does Mike need if he wants to buy
a bottle of water that costs $1.75?
A rectangular shaped recreation center is 3/4
miles wide and has an area 7/8 square miles.
What is the length of the recreation center?
A. 21/32 miles
/ 20
1
/5
2
/5
1
/6
_______________________________________
2.
6.
B. 7/8 miles
C. 3/4 miles
D. 7/6 miles
_______________________________________
7.
A) 6
Jamil and Jamal sold their cookies at a bake sale
for $1.50 each. They made $151.50 during the
bake sale. If they spent $59.61 on ingredients,
how much profit did Jamil and Jamal make from
the bake sale?
B) 7
A) $91.89
C) 8
B) $98.19
D) 10
C) $101.89
_______________________________________
D) $98.11
3.
Solve for x if 5x = 20:
A) 100
B) 4
E) None of these
_____________________________________
Use the diagram below to answer question 8
A
B
C) 15
6 cm
D) 20
_______________________________________
4.
D
2769  13 =
8.
A) 203
8 cm
C
What is the area of triangle ADC?
A) 48 cm2
B) 210
B) 24 cm2
C) 231
C) 14 cm2
D) 213
D) 80 cm2
Page 1
KEY: Mathematics Assessment 6-3
9.
Fernando has a job at the local car wash.
Fernando earns $15 each time he washes a car.
How many cars does he need to wash to earn
$180?
12. A grown male lion weighs about 12 times as
much as a newborn male lion. If a newborn male
lion weighs 20 pounds, about how much does a
grown male lion weigh?
A) 24 pounds
A) 11
B) 32 pounds
B) 10
C) 240 pounds
C) 13
D) 12
______________________________________
10. Using a coordinate plane like the one below,
some treasure hunters mapped the locations of
four shipwrecks in a lake. The wrecks are at
(-2,0), (-2,5), (2,5) and (2,0). Which of the
following geometric shapes are formed by
connecting the points in order?
D) 320 pounds
_______________________________________
13. Boston College’s cafeteria is about 5 times as
wide as North Star’s cafeteria. If North Star’s
cafeteria is 70.5 feet wide, about how wide is
Boston College’s cafeteria?
A) 330 feet
B) 350 feet
C) 360 feet
D) 370 feet
_______________________________________
14. Evaluate |-65|
65
_______________________________________
A) Rectangle
B) Square
C) Trapezoid
D) Pentagon
______________________________________
11. What is the distance (in terms of units on the
coordinate plane) between the shipwrecks
located at (-2,0) and (-2,5)?
A) -2 units
B) (0, 5)
C) 5 units
D) 0 units
15. What is the greatest common factor of 36 and
54?
A) 18
B) 9
C) 6
D) 36
_______________________________________
16. What is the least common multiple of 7 and 9?
A) 27
B) 63
C) 56
D) 49
Page 2
KEY: Mathematics Assessment 6-3
_______________________________________
_______________________________________
17. In the computer lab 18 computers are working
and 6 computers are not. What percent of the
computers are not working?
21. Sixteen students brought in their homework one
day. The ratio of those who did their homework
to those who did not was 4 to 1. How many
students did not bring in their homework?
A) 33%
A)
64
B)
8
C)
24
B) 25%
C) 66%
D) 75%
_______________________________________
18. At Global Packages, shipping charges are $4.25
for the first 3 pounds and 75 cents for each
additional pound. At that rate, how much did a
package weigh if the charge to ship it was $11?
D)
4
___________________________________________
22. Jennifer drove 36 miles in an hour. At this rate,
how far would she travel in 2 ¼ hours?
A) 72 miles
A) 6 pounds
B) 80 miles
B) 9 pounds
C) 81 miles
C) 12 pounds
D) 15 pounds
_______________________________________
19. Jerrell ate at one of his favorite restaurants. The
service at the restaurant was great, so Jerrell
decided to leave a %15 tip equaling $6. What
was the price of his meal before leaving the tip?
D) 90 miles
_______________________________________
23. The chart below shows how much four North
Star students spent on shoes:
Person:
Amount spent:
Terry
$35.13
Lovely
?
A) $40.00
Steven
$24.25
B) $0.90
Camille
$30.39
C) $9.00
If the students spent $125.00 in total, how much
did Lovely spend on her shoes?
D) $35.00
A) $46.23
_______________________________________
B) $35.23
20. If the ratio of girls to boys in the grade is 2 to 1
and there are 15 students in the grade, how
many of the students are girls?
C) $35.00
D) $63.15
A) 15
B) 10
C) 5
D) 7
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KEY: Mathematics Assessment 6-3
24. A square pyramid has a base that is 6 inches by 6
inches. The height of this pyramid is 4 inches
and the slant height is 5 inches. Find the surface
area of this pyramid.
28. Which of the following questions describes the
scenario below?
Eleni is x years old. In thirteen years she will be
twenty-four years old.
A.
B.
C.
D.
Surface Area= __________
x + 24 = 13
x – 13 = 24
x + 13 = 24
24x = 13
29. Which is equivalent to 2(x + 2)
_______________________________________
25. What is the distance between (-7,3) and (7,3)?
A. 7 units
B. 0 units
C. 14 units
D. 4 units
_______________________________________
A. 2x + 2
B. x + 4
C. 4x + 4
D. 2x + 4
_______________________________________
30. If a machine can fill 4 bottles in 6 seconds, how
many bottles can it fill in 18 seconds?
A) 24
26. A cube has a length of 4 inches. What is the
surface area of the cube?
B) 12
C) 8
A) 16 in2
D) 7
_______________________________________
B) 96 in2
C) 64 in2
D) 48 in2
_____________________________________
27. This chart shows the amount of weight
4 containers can hold.
Container:
Amount:
A
5.89 grams
B
63.6 milligrams
C
5.83 grams
D
61.2 milligrams
31. What is the area of a triangle if the base of
the triangle measures 6 inches and the height
is 4 inches?
A.12 in2
B.24 in2
C.28 in2
D.30 in2
_____________________________________
Which container holds the least amount of
weight?
A,
B,
C,
or
D
Page 4
KEY: Mathematics Assessment 6-3
32. John traced a heart on the grid below. Each box
is equal to one square unit.
36. Put the integers in order from least to greatest
-67, -70, -54, 0
_______________________________________
37. Compare the following numbers : >, <, or =
- 20
Which of these answers is the closest estimate of
the area of the heart?
A) 16 square units
B) 20 square units
C) 24 square units
D) 12 square units
_______________________________________
33. Jean can run 3 miles in 24 minutes. How long
would it take Jean to run 9 miles?
A. 72 minutes
B. 36 minutes
C 18 minutes
D. 27 minutes
34. For the school festival, Polly wants to make a
snack mixture with 2 parts dried fruit to every 3
parts assorted nuts. How much dried fruit will
she need to make 30 pounds of the mixture?
2x+3x=30
5x = 30
x=6
2x = 12
12 lb fruit +18 lb nut = 30 lb mixture
12 pounds of dried fruit
_______________________________________
14
38. Farmer John gets paid $ .72 per pound for the
first 200 pounds of raisins he brings to the
market. For additional pounds, he gets $ .63 per
pound. How much money would Farmer John
get for 260 pounds of raisins?
200 x .72 = 144
60 x .63 = 37.8
144 + 37.8 = $181.80
39. North Star had a bake sale and 145 people came.
Each person bought three cookies. Each cookie
cost $0.25.
In the space below, use words or numbers to find
the total value (amount of money) that North
Star raised from their bake sale.
145 x 3 = 435
435 x .25 = $108.75
$ 108.75
STOP
_______________________________________
35. Carlos weighs 350 pounds. He decides to give
up soda in his new diet plan. Each month, he
plans to lose 6 pounds because of this. Write an
algebraic expression representing how much
weight he will lose.
350- 6m
_______________________________________
Page 5
KEY: Mathematics Assessment 6-3
SECTION 3:
Mathematics
Joe collects baseball cards. He needs to make a poster of different baseball cards as a project for
art class. For this project you will need to:


Organize data
Calculate costs
ACTIVITY 1: ORGANIZE FIRST!
These are the packs that Joe bought:

Topps:
13 packs gave Joe 130 cards. The cost is $1.59 per pack.

Score:
15 packs gave Joe 150 cards. The cost is $1.79 per pack.

Donruss:
10 packs gave Joe 200 cards. The cost is $2.05 per pack.

Upper Deck: 18 packs gave Joe 144 cards. The cost is $5.50 per pack.
40. Organize this baseball card information into a table. For each baseball card company include
the following:



Cost of one baseball card pack
Number of baseball packs bought
Number of baseball cards for each baseball card company
Draw your table in the space below. You must give your table a title and label each column:
Baseball cards
Company
Topps
Score
Donruss
Upper Deck
$ of one pack
$ 1.59
$ 1.79
$ 2.05
$ 5.50
# of packs
13
15
10
18
# of cards
130
150
200
144
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KEY: Mathematics Assessment 6-3
ACTIVITY 2: CALCULATE!
41. Explain how to find the total amount of money spent on the Topps baseball card
packs.
Multiply the cost per pack ($ 1.59) by the number of packs bought (13).
42. Use your plan from Number 44 to find the total amount of money spent on each
baseball card company.

Topps:
Total Cost: $__20.67_____

Score:
Total Cost: $__26.85_____

Donruss:
Total Cost: $__20.50_____

Upper Deck: Total Cost: $__99.00_____
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KEY: Mathematics Assessment 6-3
ACTIVITY 3: MAKE A PLAN
Joe needs glue to stick the baseball cards onto the poster. His poster will be 6 feet by 12 feet. Glue sticks cost $1.50
for an amount that will cover 2 square feet.
43. Explain a strategy for how many glue sticks Joe will need to complete his entire
poster.
Find out how many 2 x 2 squares will fit into the 6 x 12 area.
Or divide the total area (6 x 12) by the area of one square (2 x 2).
44. Use your strategy to find the total number of glue sticks Joe will need to complete
his entire poster. Show your work in the space below.
6 x 12 = 72
2x2=4
72  4 = 18
Total number of glue sticks needed: ____18______
45. Find the total cost for all of the glue sticks. Show your work in the space below.
$ 1.50 x 18 = 27.00
Total cost of glue sticks: $___27.00____
ACTIVITY 4: THINK BACK
46. Fred, Joe’s classmate, made a different poster that was 12 feet by 24 feet. He thinks
that for his poster he will need to use 2 times as many glue sticks as Joe’s poster.
Explain why Fred is wrong.
Fred will use 4 times as many glue sticks. This is because when you divide the area of a 6 x 12
square feet (72 sq. feet) by the area of a 12 x 24 square feet (288 sq. feet) the answer is 4, so Fred
will need 4 times as many glue sticks.
47. Explain how a change in the cost of glue sticks would affect the amount of money
Joe will spend on his poster.
If the glue sticks cost more, the project will cost more, and if glue sticks cost less, the project will cost less.
Page 8