Mathematics 2011 ISAT Grade 6 Sample Book 1 4 One notebook sells for $0.89. Mary can buy a package of 12 notebooks for $9.60. Brian’s calculator display is 587234. In order to change the 8 to a 9, which of the following could he do? A Add 1 B Add 100 C Add 10,000 D Add 100,000 How much money can Mary save on each notebook if she buys the package of 12? XIH110 2 $0.08 $0.09 $0.10 $0.12 A B C D 3349067 5 Tom’s schedule is shown below. How much total time did he spend doing these activities? In the 1988 Olympic Games, Florence Griffith Joyner of the United States set an Olympic record for the women’s 100-meter dash. Her time was ten and sixty-two hundredths seconds. How is this time written as a number? Tom’s Schedule Activity Time Homework 3 hour 4 1.62 seconds A ≥B 1 1 hours 4 Television 10.62 seconds C 100.62 seconds D 1062.00 seconds 1 hour 2 Dinner Track Meet 3 Which expression is equivalent to 7 ! 7 ! 7 ! 7? 7!4 47 74 28 A B C D 37 6 hours 14 A 3 B 3 3 hours 4 1 2 hours 4 C 1 4 hours 2 ≥D 3 4 hours 4 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3484192 6 8 What is the value of the expression shown? What is the ratio of even numbers to square numbers in the set of whole numbers from 1 to 20? 10 ! 16 " 2 • 4 12 42 52 72 A 10:4 C 10:10 A ≥B C D B 4:10 D 3:10 7 3484196 9 Julie has 50 jellybeans in a bag, and 20% of those jellybeans are red. Which is equivalent to the expression shown below? How many of the jellybeans in Julie’s bag are red? 8 ! (15 " 9) A (8 ! 15) " (8 ! 9) B (8 " 15) ! (8 " 9) 5 10 20 30 C (8 ! 15) ! (8 ! 9) A ≥B C D D (8 " 15) " (8 " 9) 38 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3528353 3528353.AR1 10 3484200 11 Use your centimeter ruler to help you answer this question. 3484200_AR1 to AR4 Which rectangle has an area of 24 square units and a perimeter of 20 units? Genna drew the rectangle below. 12 A 2 8 B Which is closest to the length and width in centimeters of Genna’s rectangle? A 5.0 cm by 3.0 cm B 5.5 cm by 3.5 cm ≥C 5.5 cm by 3.0 cm D 6.0 cm by 3.5 cm 3 5 C 4 6 ≥D 39 4 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3484203 12 3484203_AR1 13 The bar graph below shows the number of minutes Bruce practiced piano during each day of the week. Which is closest to the measure of ∠XYZ? Number of Minutes Practiced Bruce's Piano Practice X Y Z 20° 90° 130° A B C 45 40 35 30 25 20 15 10 5 0 Sun Mon Tue Wed Thu 160° ≥ Fri Sat Day D Exactly how many hours did Bruce practice piano during these 7 days? 40 A 2 hours B 2 C 3 hours D 3 1 hours 2 1 hours 2 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3349080 14 3349080_AR1 3484221 15 Mike has x baseball cards. Tyrone has 3 times as many baseball cards as Mike. Frank has 20 baseball cards. Use your centimeter ruler to help you answer this question. Liza made the scale drawing shown below. Which expression represents the total number of baseball cards Mike, Tyrone, and Frank have all together? Swing Tree ≥A x ! 3x ! 20 B 20 ! 3x " x C x ! 3 ! 20 D 20 " 3x ! x Key: 1 cm represents 5 feet 3484224 16 What is the shortest distance, in feet, from the tree to the swing? A 4 feet B 5 feet ≥ C 20 feet D 25 feet What is the value of the expression below when x # 6 and y # 2? 8x " y 41 84 46 12 4 A ≥B C D GO ON Mathematics 3484225 17 2011 ISAT Grade 6 Sample Book 3484225_AR1 3349423 18 Which correctly describes the rule between x and y as shown in the table? Which table of values satisfies the equation shown below? y=x+4 x y x y 4 9 0 0 5 11 1 1 6 13 2 2 7 15 3 3 x y 0 4 1 4 2 4 3 4 x y 0 4 1 5 2 6 3 7 x y 0 0 1 4 2 8 3 12 A y!x"6#1 B y!x•x#1 C y!x"x#1 ≥D y!x•2"1 A B ≥C D 42 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3349091 19 3349091_AR1 21 The graph below represents a linear equation. Which graph best represents the solution to the inequality shown? y m #3 2 20 18 16 14 A 12 -1 0 1 2 3 4 5 6 7 8 10 8 B 6 -1 0 1 2 3 4 5 6 7 8 4 2 0 2 4 6 8 C x 10 12 14 16 18 20 D Using this graph, which value best represents the y-coordinate if the x-coordinate is 8? 4 14 A B ≥ 16 18 C D 3349097 Philip has 18 video games. Emily has v video games. Together, Philip and Emily have a combined total of less than 30 video games. Which inequality is best represented by the graph on the number line below? -8 -6 -4 -2 A x!6 B x#6 0 2 4 6 ≥ C x"6 D x$6 -1 0 1 2 3 4 5 6 7 8 22 3529997 3529997_AR1 20 -1 0 1 2 3 4 5 6 7 8 Which inequality could be used to represent this situation? 8 43 A v ! 18 " 30 ≥B v # 18 $ 30 C v ! 18 $ 30 D v # 18 " 30 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3349428 23 25 y What value of n makes the equation below true? 4n ! 220 50 55 A ≥B 5 216 220 C D 4 3 2 3484229 24 3484229_AR1 What should be the value for x in the triangle shown? 0 50° 60° 40° A B ≥ 1 3 2 4 x 5 Point A is moved 1 unit to the right and 2 units up. What are the coordinates of its new location? x 10° A 1 70° 90° C D 44 (2, 1) (2, 3) (1, 3) (3, 2) A B C D GO ON Mathematics 2011 ISAT Grade 6 Sample Book 26 Which diagram shows a reflection over the vertical line in the drawing above? A B C 45 D GO ON Mathematics 3484232_AR1 XIJ321 28 Lines w and x intersect lines y and z to form a rectangle as shown. Ta ll XIJ321.AR1 Fra nk lin 3484232 27 2011 ISAT Grade 6 Sample Book ey Holloway Pierce w Starlight x y z Which streets on this map appear to never intersect? Which statement is true? ≥ A Line x is parallel to line y. B Line x is parallel to line z. C Line w is perpendicular to line y. D Line w is perpendicular to line x. 46 A Talley and Franklin B Starlight and Pierce C Franklin and Holloway ≥D Holloway and Starlight GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3484235 29 3484235_AR1 What three-dimensional figure would this pattern make if it were folded along the dashed line segments? A Rectangular pyramid B Square pyramid C Triangular prism ≥D Cube 3349451 30 3349451_AR1 to AR4 Which figure does not appear to contain two or more congruent shapes? ≥A B C 47 D GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3349454 31 3349454_AR1 3530008 3530008_AR1 32 Triangle RST is similar to triangle XYZ. Parallelogram RSTU is similar to parallelogram HIJK. S Y R X R U Z S T I J T SR YZ XZ A B C K H RS corresponds to which side of triangle XYZ? If the measure of !RST is 130°, then what is the measure of !HIJ? XY ≥D 48 A 50° ≥B 130° C 260° D 520° GO ON Mathematics 2011 ISAT Grade 6 Sample Book XJE380 33 XJE380_AR1 3349380 34 Mrs. Robbins’ class voted for their favorite kinds of books to read. The Venn diagram below shows the number of students at Washington Elementary who play baseball and football. Books We Like 8 7 Football 6 5 4 26 3 2 7 1 ts or te ys Sp ry sy M Fa n ta im An ve nt ur e al 0 Ad Number of Votes 3349380_AR1 32 Kind of Book Baseball How many more students voted for books about adventures than books about sports? How many students play baseball but not football? 0 1 2 3 39 33 A B C ≥D A B 49 ≥ 32 26 C D GO ON Mathematics 2011 ISAT Grade 6 Sample Book 35 Trista made the chart below using the last names of her friends. LAST NAMES WILLIAMS BANKS SMITH ANDRADE GONZALEZ CAREY Which line plot represents the number of letters in each friend’s last name? X X X X X X X X X X X X 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 A C X X X X X X X X X 0 1 2 3 4 5 6 7 8 X X X 0 1 2 3 4 5 6 7 8 B D 50 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3349383 36 3349383_AR1 to AR5 Carl has 16 books in his bookcase. This bar graph shows the number of each type of book. Number of Books Carl’s Books 10 8 6 4 2 0 Biography Art Fiction Mystery Type of Book Which circle graph best shows the types of books Carl has in his bookcase? Carl’s Books Carl’s Books Biography Art Art Mystery Fiction Fiction Mystery Biography A C Carl’s Books Carl’s Books Art Art Fiction Fiction Biography Biography Mystery Mystery ≥B D 51 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3484236 37 Greg took five tests each worth 100 points. This table represents the first eight U.S. Presidents and their years in office. He earned the following scores: 85, 87, 87, 89, 97 What is Greg’s mean (average) score for these five tests? 89 88 87 12 ≥A B C D 3349387 38 U.S. President Years in Office G. Washington 8 J. Adams 4 T. Jefferson 8 J. Madison 8 J. Monroe 8 J.Q. Adams 4 A. Jackson 8 M. Van Buren 4 What are the median and range for the number of years in office for these eight U.S. Presidents? 52 A Median ! 4, Range ! 4 B Median ! 4, Range ! 8 ≥C Median ! 8, Range ! 4 D Median ! 8, Range ! 8 GO ON Mathematics 2011 ISAT Grade 6 Sample Book 3484240 39 3484240_AR1 to AR4 Ms. Simmons has a set of 10 tiles numbered from 0 to 9 in a bag. The tiles are the same size and shape. Which spinner has the greatest probability of the arrow landing on a section labeled B? B R G Y 3530010 40 What is the probability that the first tile Ms. Simmons randomly chooses will have an odd number on it? A ≥B B R Y B B C 4 9 B 5 9 C 2 5 ≥D 1 2 Y B R B R Y D A G B R Y 53 STOP 2011 ISAT Grade 6 Sample Book Mathematics Short-Response Scoring Rubric The following rubric is used to score the short-response items for all grade levels. SCORE LEVEL DESCRIPTION 2 Completely correct response, including correct work shown and/or correct labels/units if called for in the item 1 Partially correct response 0 No response, or the response is incorrect Using Short-Response Samples Beginning with the spring 2008 ISAT, the sample short-response question and answer (shown below) that appeared in the 2006 and 2007 ISAT test directions will no longer be included in the directions immediately prior to session 2. ISBE encourages educators to practice these types of items with students during the course of the school year so they are familiar with them prior to ISAT testing. SAMPLE SHORT-RESPONSE QUESTION Sam can buy his lunch at school. Each day, he wants to buy juice that costs 50¢, a sandwich that costs 90¢, and fruit that costs 35¢. Exactly how much money does Sam need to buy lunch for 5 days? Show your work and label your answer. SAMPLE SHORT-RESPONSE ANSWER $1.75 50¢ + 90¢ + 35¢r =each day fo My answer $8.75 3 2 1.75 1.75 1.75 1.75 5 1.7_ +_ _ $8.75 for five days Please refer to the 2008 and 2009 ISAT sample books for additional short-response items and student samples (online at www.isbe.net/assessment/htmls/sample_books.htm). 58 2011 ISAT Grade 6 Sample Book Mathematics Short-Response Sample Item 1 Below is a short-response sample item, followed by 3 samples of student responses. This short-response sample item is classified to assessment objective 6.6.20. “Read, write, recognize, and model percents from 0% to 100%.” 1 Use the two figures below to answer the questions. Figure A Figure B 1. What percent of Figure A is shaded? 2. What percent of Figure B is shaded? In your answer document, clearly state which answer goes to Figure A and Figure B. 60 2011 ISAT Grade 6 Sample Book Mathematics Short-Response Sample Item 2 Below is a short-response sample item, followed by 3 samples of student responses. This short-response sample item is classified to assessment objective 8.6.10, “Solve word problems involving unknown quantities.” 2 Matthias has 15 coupon books to sell for the school fundraiser. Matthias sells all of his coupon books plus 3 additional coupon books. If Matthias collects $198, how much does 1 coupon book cost? Show your work. 64 2011 ISAT Grade 6 Sample Book Using Extended-Response Samples Beginning with the spring 2008 ISAT, the sample extended-response problem and solution (shown below) that appeared in the 2006 and 2007 ISAT test directions will no longer be included in the directions immediately prior to session 3. ISBE encourages educators to practice these types of items with students during the course of the school year so they are familiar with them prior to ISAT testing. SAMPLE EXTENDED-RESPONSE PROBLEM Mrs. Martin wants to put tiles on the floor by the front door of her house. She wants to use 3 different colors of tiles in her design. She also wants 1 — of the tiles to be blue, 2 1 — of the tiles to be gray, and 4 1 — of the tiles to be red. 4 Use the grid below to design a floor for Mrs. Martin. Label each tile with the first letter of the color that should be placed there. Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem. SAMPLE EXTENDED-RESPONSE SOLUTION B B G R B B G R B B G R B B G R B B G R B B G R –1 2 blue –1 gray 4 –1 4 red First , I know that there are 4 equal rows, so 2 rows is half and 1 row is –41 . So I made 2 rows B for blue because she wants half the tiles blue. Then I made 1 row G for gray because she wants –41 of the tiles to be gray. Since she wants gray and red to be the same amount of tiles, I made the last row R for red. Please refer to the 2008 and 2009 ISAT sample books for additional extended-response items and student samples (online at www.isbe.net/assessment/htmls/sample_books.htm). 70 2011 ISAT Grade 6 Sample Book Mathematics Extended-Response Sample Item 1 Below is an extended-response sample item, followed by 3 student samples. This extended-response sample item is classified to assessment objective 6.6.13, “Solve problems and number sentences involving addition, subtraction, and multiplication of decimals.” 1 Amy sells the following items at a farmer’s market: • • • • • 5 pounds of apples for $3.50 1 pound of cherries for $5.00 2 pounds of pears for $3.00 5 pounds of carrots for $5.50 2 pounds of beans for $2.50 If Amy sells 10 pounds of apples, 3 pounds of cherries, and 5 pounds of beans to one customer, how much money did she collect for what was sold? Show all your work. Explain in words how you found your answer. Write why you took the steps you did to solve the problem. 73
© Copyright 2024