CTB/McGraw-Hill. Acuity Common Core Math Grade 5 Diagnostic Form 1 Test ID: 85840
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1 Page 1 of 14 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California All rights reserved. Only authorized customers may copy, download and/or print the document. Any other use or reproduction of this document, in whole or in part, requires written permission of the publisher. Test Name: Acuity Common Core Math Grade 5 Diagnostic Form 1 Test ID: CTB/McGraw-Hill Acuity Common Core Math Grade 5 Diagnostic Form 1 Test ID: 85840
2 Test Directions Materials: CR Answer Sheet (optional) General Offline Instructions: Today you will take the Acuity test. Read each question carefully and decide which answer is correct. Using your scan sheet, fill in the bubble that contains the letter for the answer you choose. Page 2 of 14
3 1. Which statement is correct? A $5.63 > $5.38 B $4.31 = $4.21 C $8.90 < $8.47 D $1.43 < $ Theresa earns $1,350 each paycheck. What total amount does she earn if she receives 26 paychecks? A $10,800 B $25,100 C $32,800 D $35, Look at this model. Each solid bar equals one, and each square equals one tenth. Based on the model, which of the following describes how to find the sum of ? A count the bars and then the squares, which equals 5.3 B count the bars and then the squares, which equals 5.13 C combine ten squares into one bar and then add the bars and squares, which equals 6.3 D combine ten squares into one bar and then add the bars and squares, which equals 6.13 Page 3 of 14
4 4. Teri rides her bike mile to Michael's house. They ride together to the library. Teri rides a total distance of mile to the library. How many miles is it from Michael's house to the library? A B C D 5. An eagle has a wingspan of feet. What is the eagle's wingspan in inches? A 78 B 84 C 90 D 96 Page 4 of 14
5 6. Which of these expressions is written in expanded form? A B C D 7. Look at this expression. 8 (2 1) What is the value of the expression? A 3 B 8 C 5 D 4 8. Look at this fraction. Which of these could this fraction represent? A the amount of pizza needed for 2 people to get 3 pieces of pizza each B the amount of pizza needed for 3 people to get 2 pieces of pizza each C the amount of pizza each person gets when 2 pizzas are divided equally among 3 people D the amount of pizza each person gets when 3 pizzas are divided equally among 2 people Page 5 of 14
6 9. The picture below shows how a large box was packed with 32 smaller boxes. Each of the smaller boxes is 1 cubic foot in volume. What is the volume of the large box? A 16 cubic feet B 24 cubic feet C 25 cubic feet D 32 cubic feet 10. Jeremy is using two types of tiles to decorate his kitchen. One type is in the shape of a square and the other type is in the shape of a rhombus. Which statement about the two types of shapes is correct? A All squares have equal angles and all rhombuses are also squares, so all rhombuses have equal angles. B All rhombuses have equal angles and all squares are also rhombuses, so all squares have equal angles. C All squares have equal sides and all rhombuses are also squares, so all rhombuses have equal sides. D All rhombuses have equal sides and all squares are also rhombuses, so all squares have equal sides. Page 6 of 14
7 11. Which of these decimal comparisons is true? A < B = C > D Rachel had $ She spent $13.42 on a bracelet and $6.71 on lunch. How much money does Rachel have left? A $19.87 B $46.71 C $20.13 D $ A pool holds 35,785 liters of water. How many kiloliters of water does the pool hold? A kiloliters B kiloliters C kiloliter D kiloliters Page 7 of 14
8 14. The organizers of a fund-raising walk order T-shirts for participants. Of the people who register for the walk, will actually participate. Of the participants, will get size medium T-shirts. Which model could be used to find the fraction of the people who register for the walk who will get size medium T-shirts? A C B D 15. What is four hundred sixty and three hundred two thousandths written as a decimal? A B C D Page 8 of 14
9 16. Ollie packed a large box with smaller toy boxes. Each of the toy boxes is shaped like a cube that is 1 cubic centimeter in volume. Ollie thinks that the total volume of the large box is 10 cubic centimeters. Which statement best explains why that volume is either correct or incorrect? A Correct, because he added the base and the height of the large box. B Correct, because he counted the total number of toy boxes. C Incorrect, because he should add up the length, width, and height of the large box. D Incorrect, because he should count the smaller boxes and the gaps inside the large box. 17. Which of these describes an attribute that all squares and rectangles have in common? A four equal sides B four right angles C length greater than width D exactly one pair of parallel sides Page 9 of 14
10 18. Maria has 4 apple pies and wants to divide them equally among her 7 friends. What fraction of pie will each person get? A B C D 19. Kelsey lives mile from the park. Matt lives mile from the park. How much farther does Kelsey live from the park than Matt? A mile B mile C mile D mile Page 10 of 14
11 20. A student completed a multiplication problem incorrectly. Which of these best describes where the student made a mistake? A multiplying the basic facts B adding the partial products C lining up the partial products D regrouping in the tens place 21. Look at the expression. 6 (2 + 1) Explain the first step to evaluate this expression. Evaluate this expression to its simplest form. Answer Page 11 of 14
12 22. Leroy solved a story problem using the following number sentence. What is the product of the number sentence? Answer The square represents one whole. Draw lines on the square and shade regions to represent the product of and. On the lines, write a story problem that Leroy might have solved by correctly finding the product of and. Page 12 of 14
13 Written Response Answer Sheet Page 13 of 14
14 Written Response Answer Sheet Page 14 of 14 This is the end of the test.
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