Test Name: T-Math-Gr05-Comprehensive Test-PBT Test ID: 469247 Name: __________________________________ Date: ______________ 1. The directions for a calculation problem are to subtract 7 from 16 and then multiply by 4.

Which expression shows this calculation?

A. 7 x (16 − 4) B. (16 – 7) x 4 C. 7 x 4 − 16 D. 7 – 16 x 4

2. Which expression means "the difference between two times six and five?"

A. 2  ×  6 − 5 B.  2  ×   6 − 5 C. 2  ×  6 − 2  ×  5 D.  2 − 6 − 5

3. How does the digit 5 in the number 357 compare with the digit 5 in the number 465?

A. The digit 5 in the number 357 represents !

!" as much as the digit 5 in the number 465.

B. The digit 5 in the number 357 represents 10 times as much as it represents in the

number 465. C. The digit 5 in the number 357 represents 100 times as much as it represents in the

number 465. D. The digit 5 in the number 357 represents the same amount as it

represents in the number 465.

4. Which statements are correct? Select two that apply.

A. The number 0.005 is 10 times the size of the number 0.05. B. The number 0.03 is !

!" the size of the number 0.003.

C. The number 0.09 is 10 times the size of the number 0.009. D. The number 0.007 is !

!" the size of the number 0.07.

E. The number 0.002 is 10 times the size of the number 0.2.

5. Robbie solved the equations below. Which of these equations did Robbie solve correctly? Select three that apply. A. 5.7  ×  10!   =  5,700 B. 37.05  ×  10!   =  37,050 C. 4,680  ×  10!   =  46,800 D. 8,972  ×  10!   =  89.72 E. 13.60  ×  10!   =  13,600 6. Find the value of n.

2.8   ÷  𝑛   =  0.028 A. 10! B. 10! C. 10! D. 10!

7. In the magazine aisle at the grocery store there are 17 rows of magazines. In each row there are 13 magazines. How many magazines are in the aisle?

A. 30 B. 121 C. 221 D. 421

8. A factory ships bottles in large boxes. Each box contains 2340 bottles. If the factory ships 28 boxes, how many bottles will they ship altogether?

A. 28 B. 2340 C. 65,520 D. 191,880

9. Find the product.

717 × 32 =

A. 3585 B. 22,734 C. 22,944 D. 216,534

10. What number does the given expression represent?

7 x 10 + 2 x 1 + 6 x !!"+ 3  x !

!"""

A. 7.263 B. 72.63 C. 72.603 D. 72.630

11. Which number equals

9 x 100 + 9 x 10 + 0 x 1 + 0 x !!"+3 x !

!"" + 7 x !

!"""  ?

A. 900.937 B. 909.307 C. 990.037 D. 9090.0037

12. Which of these makes the number sentence true?

A. 75.150 B. 751.501 C. 751.504 D. 7515.04

13. Which comparison is true?

A. B. C. D.

14. Which statement below is true? A. 0.065 < 0.160

B. 0.099 > 0.102

C. 0.125 > 0.199

D. 0.131 < 0.125 15. Carmen measured her purple pen and found it was 14.724cm long. What is the length of her purple pen rounded to the nearest hundredth?

A. 14.7 B. 14.72 C. 14.725 D. 14.73

16. The heights of the three tallest boys in a fifth–grade class are 1.575 m,1.526 m, and 1.474m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?

A. 1.47 m B. 1.48 m C. 1.52 m D. 1.57 m

17. What is the value of 2.18 – 0.3?

A. 0.82 B. 1.88 C. 2.15 D. 2.28

18. What is 1486.377 rounded to the nearest hundredth?

A. 1486.4 B. 1486.37 C. 1486.38 D. 1400

19. Find the sum:

36.41 + 12.91 = ?

A. 23.50 B. 48.32 C. 49.32 D. 4,932

20. The hundredths model in the figure is shaded to represent the multiplying of two numbers.

Which equation can be represented by the shaded parts of the model? A. 80 x 40 = 3,200 B. 0.08 x 0.04 = 0.32 C. 0.80 x 0.40 = 0.32 D. 0.08 x 0.04 = 0.032

21. Kamari spent $74.92 on Christmas presents for her four cousins. If she spent the same amount on each, how much did she spend on each cousin?

A. $94.75 B. $54.24 C. $19.24 D. $18.73

22. Find the sum.

!! +  !

! =

A. !

!"

B. !

!

C. !"

!"

D. !"

!"

23. !

! –  !

! = ?

A. !

!

B. !

!

C. !

!

D. !

!"

24. Marcy has 2!

! cups of flour. Her cookie recipe calls for  !

! cups of flour. After she makes her

cookies, how much flour will she have left?

A. 1!! cups

B. 1 !

!" cups

C. 2!

! cups

D. 2!!

!" cups

25. Amy wants to make two of her favorite cookie recipes for a party. One recipe needs1!  

!  

cups of flour and the other recipe needs 2!  !  

cups of flour. How much flour does Amy need?

A. 3!! cups

B. 3!

! cups

C. 4 cups D. 4!

! cups

26. Which of the following multiplication problems has a product that is less than  !

!?

Select three that are correct.

A. !! ×  !

!

B. !

! ×  !

!

C. !

! ×  !

!

D. !

! ×  !

!

E. !

! ×  !

!

F. !

! ×  !

!

27. Which of the following expressions represents a value greater than  !

!?

A. !

! ×  !

!

B. !

!  ×  !

!

C. !

!  ×  !

!

D. !

!  ×  !

!

28. Which number can be placed in the box to make the number sentence true?

1!! × n<1!

!

A. !

!

B. !

!

C. !

!

D. 1!

!

29. Which statement about the expression 8 x  !

! is false?

A. The product will be less than 8. B. The product will be greater than 1. C. The product will be greater than !

!

D. The product will be greater than 8.

30. Which fraction model best represents 3 ×  !

! ?

A.

B.

C.

D.

31. Shelley pours !

! gallon of water into a birdbath. The next morning, she finds that !

! of the

water is gone. What is the amount of water, in gallons, that is gone?

A. !! gallon

B. !

! gallon

C. !

! gallon

D. !

! gallon

32. Juanita is making a quilt to use as a picnic blanket. Each quilt square is      !

 ! yard by !

!

yard.

What is the area, in square yards, of Juanita's quilt? A. 16 square yards B. !"

! square yards

C. !"

! square yards

D. !"

! square yards

33. Stephanie draws a rectangle with a width of !

! inch and a length of    !

 ! inch What is the area

of the rectangle?

A. !! square inches

B. !

! square inch

C. !

!" square inch

D. !

!" square inch

34. During the annual Bluebell 5k, Cindy noticed that !

! of the runners fell under the age group

of 30 years old or younger. Out of that age group,  !! were women.

Which diagram represents the fraction of women runners who are 30 years old or younger at the Bluebell 5k? Select two that apply.

A.

B.

C.

D.

E.

35. Robby had 4 !

! bags of pet food. All of the bags held the same amount of food when they

were full. Of Robby's 4 !! bags of pet food, !

! were dog food. How many bags of dog food

did Robby have?

A. !"!"

B. 1 !

!

C. 1 !

!

D. 4 !

!"

36. Evaluate:

(34 × 3) + 7 +  !"!

A. 90 B. 105 C. 113 D. 135

37. Evaluate.

30 – (10 ÷ 2) × 2

A. 20 B. 27 C. 40 D. 50

38. A shopkeeper has 2,625 markers. He would like to pack 25 markers in each box. How many boxes will he need?

A. 11 boxes B. 15 boxes C. 101 boxes D. 105 boxes

39. Which equation has the same unknown value as 903 ÷ 21 = ?

A. n÷ 903 = 21 B. n÷ 21 = 903 C. 21 × n = 903 D. 903 × n = 21

40. Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test. How long did Jordan spend studying for each test?

A. 1 !! hours

B. !

!  hour

C. !

!  hour

D. 1 !

!  hours

41. Which of the following situations results in an answer of  !

!? Select three that apply.

A. Two apples are split among 3 people. How much of an apple does each person

receive?

B. Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?

C. Two bags of birdseed are split among 5 parrots. What fraction of a

bag does each parrot receive? D. Three cats share 2 cans of tuna. How much of a can does each cat

receive? E. Three cupcakes are divided among 2 children. How much of a

cupcake does each child receive? F. Three dogs each drink 2 cups of water. How many cups of water do

the dogs drink in all?

42. Colin and April both thought of six numbers. Colin's first number was 0, and April's first number was 10. Colin added 1 each time to get his other numbers. April subtracted 2 each time to get her other numbers. Which statements are correct? Select three that apply.

A. April's second number was 8. B. Colin's third number was 2. C. April's fourth number was 3. D. Colin's fifth number was 5. E. April's sixth number was the same as Colin's first number. F. Colin's sixth number was the same as April's first number.

43. The table shows five ordered pairs. Which graph shows these ordered pairs? A. C.

B. D.

44. The line plot shows the amount of time (in hours) that Jodi practiced the flute over 8 days.

How much time did Jodi spend all together practicing the flute?

A. 2 !! hours

B. 5 hours C. 5 !

! hours

D. 7 hours

45. Coach McCarthy recorded the distance each member of the 10–person track team ran in 6 minutes.

!!, !! , !! , !! , !! , !! , !! , !! , !! , !!

Which of the following line plots represents the information Coach McCarthy recorded? A. C.

B. D.

46. Which point on the grid below is located at the coordinates (3,4)?

A. Point A B. Point B C. Point C D. Point D

47. Which object is located at the point (4,3)?

A. star B. circle C. triangle D. rectangle

48. Juan went to the zoo. The map below shows the location of some of the animals Juan saw at the zoo. His path is shown on the map.

Juan walked half of the path from the pandas to the piranhas and then stopped to take pictures. At which point did he stop? A. (4, 7) B. (5, 7) C. (5, 8) D. (7, 5)

49. Raina begins at the point She(2, 5) walks 5 units to the right and 2 units down.

Which is Raina’s location after her walk? A. (5, 2) B. (4, 10) C. (7, 3) D. (10,0)

50. Which of the following statements is correct?

A. !! ÷ 4 =  !

!

B. !

! ÷ 4 = 12

C. !

!  ÷ 6 =!

!

D. !

!  ÷ 2 = !

!"

51. Which of the following is equivalent to the expression 18 ÷    !

!" ?

A. !"

! ×  !"

!

B. !"

! ×   !

!"

C. !

!" ×  !"

!

D. !"

!"

52. Martin has 4 cups of sugar. To make his favorite muffins he needs  !

! cup of sugar per tray.

How many trays of muffins can he make?

A. 7 B. 8 C. 12 D. 16

53. At the West Street Bakery,!

! of the dessert case holds pies. There are 4 shelves for different

pies. Each shelf is equal in size.

Which fraction of the West Street Bakery’s dessert case is taken up by 1 pie shelf? A. !

!

B. !

!

C. !

!"

D. !

!

54. Karlee has 4 sets of pencils. In each set, 1 pencil is  !! of the pack. All of the packs are full.

What is the total number of pencils that Karlee has in her 4 pencil packs?

A. 4 B. 32 C. 7

D. 28 55. Dawn had !

! gallon of juice to divide evenly between 2 friends. How much juice should

each friend receive?

A. !! gallon

B. !

! gallon

C. !

! gallon

D. !

!" gallon

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