Math Mock Test 2

Grade 5 Mathematics Reference Sheet* CONVERSIONS 1 mile 5 5,280 feet

1 pound 5 16 ounces

1 mile 5 1,760 yards

1 ton 5 2,000 pounds

1 cup 5 8 fluid ounces 1 pint 5 2 cups 1 quart 5 2 pints 1 gallon 5 4 quarts 1 liter 5 1,000 cubic centimeters

FORMULAS Right Rectangular Prism

V 5 Bh or V 5 lwh

*Reprinted courtesy of New York State Education Department.

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Practice 2: Book 1 1

What is the volume, in cubic inches, of the box below?

2 in.

2 in. 3 in.

30

A

24 cubic inches

B

12 cubic inches

C

6 cubic inches

D

4 cubic inches

Practice 2: Book 1

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2

A display case is made of one rectangular prism stacked on top of a second rectangular prism.

3 ft

4 ft 2 ft

3 ft

4 ft 5 ft [not drawn to scale] What is the volume of the display case?

3

A

24 cubic feet

B

36 cubic feet

C

60 cubic feet

D

84 cubic feet

Which statement is true?

A

2.77 3 108 5 27.7 3 107

B

2.77 3 108 . 27.7 3 107

C

2.77 3 108 , 27.7 3 107

D

27.7 3 107 . 2.77 3 108

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4

For which solid figure can the volume be found by multiplying 3 inches by 8 square inches? Figures are not drawn to scale.

3 in.

3 in.

4 in.

3 in.

4 in.

8 in. A

C

3 in.

3 in.

8 in. 8 in. B

32

2 in.

4 in. D

Practice 2: Book 1

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5

Which diagram shows the correct solution for 420 4 15 5 h?

5

15

100

42

15 3 100

15 3 42

28

28 3 5 28 3 3

A

7

15

6

C

10

4

15 3 7 15 3 4

B

3

28

5

28 3 10 28 3 5

D

A rectangular garden is 1.25 meters wide and 3.4 meters long. What is the area of the garden?

A

8.75 square meters

B

4.25 square meters

C

4.13 square meters

D

3.25 square meters

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7

When finding the quotient of 8,397 4 12, Calida first divided 83 by 12, as shown below.

6 12 ) 8397 72 11 What does the 6 represent?

8

A

6,000

B

600

C

60

D

6

1 of a pizza on Monday. On Tuesday, he ate part of the leftover pizza. After he ate Ronald ate } 3 1 of the pizza remaining. Ronald drew a circle to represent the whole on Tuesday, there was } 2 pizza and shaded part of it to represent the fraction of the pizza he ate on Tuesday. Which diagram did Ronald draw?

34

A

C

B

D

Practice 2: Book 1

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9

10

11

10 3 25? Which statement best describes the product of }} 3

A

10 3 25 . 25 because 10 . 1 }} }} 3 3

B

10 3 25 , 25 because 10 , 1 }} }} 3 3

C

10 3 25 . 25 because 10 3 25 . 3 3 25 }} 3

D

10 3 25 , 25 because 10 3 25 . 3 }} 3

To pass inspection, a machine part from a factory must be no thinner than 4.225 centimeters and no thicker than 4.233 centimeters. Which thickness would result in the part failing the inspection?

A

4.225 cm

B

4.233 cm

C

4.230 cm

D

4.235 cm

What is the value of this expression? 1 1 82 2 11 3} } } 6 9 2

A

8 9} 9

B

7 9 }} 10

C

2 9} 3

D

19 9 }} 30

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35

12

13

14

36

Ahmed and Tonya are training for a race. Ahmed runs a mile in 8 minutes 30 seconds. Tonya runs a mile in 7 minutes 45 seconds. How much longer does it take Ahmed to run a mile than Tonya?

A

15 seconds

B

45 seconds

C

1 minute 15 seconds

D

1 minute 45 seconds

2 compare to the product of 11 3 2 ? How does the product of 44 3 } } 3 3 2

3

2

A

1 44 3

is } times 1 11 3 } 2 } 32 2 3

B

1 44 3

is 4 times 1 11 3 } 2 } 32 3

C

1 44 3

is } of 1 11 3 } 2 } 32 4 3

D

1 44 3

is } of 1 11 3 } 2 } 32 3 3

2

2

2

1

2

2

2

2

1 3 1? Which situation is best modeled by the expression } } 2 6

A

1 hour practicing trumpet. He spent 1 of that time practicing his scales. Pablo spent } } 2 6 What fraction of an hour did Pablo spend practicing scales?

B

1 mile to the library and then 1 mile from the library to a friend’s house. Pablo walked } } 2 6 How far did he walk in all?

C

1 gallon of milk. How many 1 -gallon glasses can he fill with the milk Pablo bought } } 2 6 he bought?

D

1 of a cantaloupe. After he ate some of the cantaloupe, there was 1 of the Pablo had } } 2 6 cantaloupe left. What fraction of the cantaloupe did Pablo eat?

Practice 2: Book 1

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15

16

17

Ms. Johnston was accepting signed permission slips for two days. She received signed 1 of her students on the first day. Another 11 handed in their permission slips from } }} 4 20 1 of the students in the class permission slips on the second day. She estimates that a total of } 2 have handed in their permission slips. Which best describes Ms. Johnston’s estimate?

A

11 is about 1 and 1 1 1 5 3 . It is not reasonable because }} } } } } 4 4 20 2 2

B

11 is about 1 and 1 1 1 5 1 . It is reasonable because }} } } } } 4 4 4 20 2

C

11 is about 3 and 1 1 3 5 1. It is not reasonable because }} } } } 4 4 4 20

D

1 is close to 0 and 11 is about 1 , and 0 1 1 5 1 . It is reasonable because } }} } } } 4 20 2 2 2

There are 23 people taking a group trip to California. Tickets for the trip cost $159 each. What is the total cost of the tickets?

A

$2,437

B

$3,557

C

$3,637

D

$3,657

Carlo has a cube that is 1 unit long, 1 unit wide, and 1 unit high. What is the volume of Carlo’s cube?

A

1 unit

B

3 units

C

1 cubic unit

D

3 cubic units

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18

19

1 of the value of the other digit 6? In which number does one digit 6 have a value that is }} 100 A 66.04

B

46.60

C

46.06

D

40.66

The figure below is made up of 1-centimeter cubes.

What is the volume of the figure?

38

A

3 cubic centimeters

B

5 cubic centimeters

C

12 cubic centimeters

D

15 cubic centimeters

Practice 2: Book 1

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20

21

1 mile long. The plot is divided into four sections of equal length. A plot of land is } 2 What is the length of each section? 1

A

mile } 8

B

mile } 6

C

miles } 2

D

miles } 1

1

4

8

Which number completes the number sentence? 11.097 2 ? 5 4.885

A

16.885

B

15.982

C

7.085

D

6.212

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39

22

William split each larger rectangle into equal-size smaller rectangles to solve a problem.

Which problem does William’s model answer?

40

A

1 hour, how much time did Mr. Lee gave 7 drum lessons yesterday. If each lesson lasted } 4 he spend giving lessons?

B

1 hour teaching a drum lesson. If he spent the same amount of time Mr. Lee spent } 4 teaching each of 7 skills, how much time did he spend on each skill?

C

1 hour, how Mr. Lee spent 7 hours giving drum lessons yesterday. If each lesson lasted } 4 many lessons did he give?

D

1 of the time working Mr. Lee spent 7 hours giving drum lessons yesterday. If he spent } 4 with Marcia, how much time did he spend teaching Marcia?

Practice 2: Book 1

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23

The line plot shows the weights, in pounds, of some steaks that Charlotte is grilling.

WEIGHT OF STEAKS

0

1 8

X X

X X X X

X X

X X

X X X

X

1 4

3 8

1 2

5 8

3 4

7 8

1

We ight (pound) What is the total weight of the steaks?

24

A

7 pounds

B

3 pounds 7} 8

C

1 pounds 12 } 4

D

14 pounds

Mrs. Habib entered the largest tomatoes she grew in a contest. The masses of the tomatoes were 2.66 kilograms, 2.6 kilograms, and 2.06 kilograms. Which shows the masses in order from least to greatest?

A

2.6 kg, 2.06 kg, 2.66 kg

B

2.66 kg, 2.06 kg, 2.6 kg

C

2.06 kg, 2.6 kg, 2.66 kg

D

2.06 kg, 2.66 kg, 2.6 kg

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41

25

1 gallon of lemonade in the kitchen. He poured it into 5 equal-sized cups. The Jamal found } 3 model below illustrates this.

What fraction of a gallon of lemonade is in each cup?

26

42

1

A

}} 15

B

} 8

C

} 3

D

} 5

1

5

3

Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe. How many cups of milk does Sondra have left over?

A

1 cup

B

3 cups

C

4 cups

D

8 cups

Practice 2: Book 1

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27

3 hours. This week he attended all of practice on Monday Makoto’s lacrosse practice lasts 1 } 4 and Wednesday, but he had to leave halfway through practice on Friday. How much time did Makoto spend at lacrosse practice this week?

28

A

3 hours 4} 8

B

1 hours 4} 4

C

hour } 4

D

hour } 8

3

1

1 -cup scoops of flour can be taken from a bag that contains Jaedyn wants to know how many } 4 10 cups of flour. Which expression can she use to find the answer?

A

1 10 4 } 4

B

1 10 2 } 4

C

1 4 10 } 4

D

1 3 10 } 4

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29

30

1 yard of ribbon for each bow. How many Mari makes bows for floral arrangements. She uses } 8 bows can she make from 2 spools that each have 24 yards of ribbon?

A

3 bows

B

24 bows

C

192 bows

D

384 bows

Ellie uses 27 feet of fabric to make 48 doll dresses. She uses the same amount of fabric to make each dress. How many yards of fabric does Ellie use to make each dress? 3

A

yard }} 16

B

yard } 8

C

1 yards 1} 8

D

3 yards 1} 8

5

STOP 44

Practice 2: Book 1

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Practice 2: Book 2 31

1 of her garden. She divided the other half of her garden into Imelda planted vegetables in } 2 3 equal sections. She planted rose bushes in one section, tulips in the second section, and irises 2 of the whole garden. Which equation in the third section. Imelda says she planted tulips in } 3 best shows why Imelda is incorrect?

32

A

1 14 35 } 3

B

1 4 35 1 } } 2 6

C

1 3 35 3 } } 2 2

D

3 }5 } } 3 2 3

2

1

1

3 hour. The model below shows the total number of hours he Jamie can walk to school in } 4 walked over three days.

Which equation is represented by the model?

A

3 3 45 9 } }} 4 16

B

3 3 35 9 } } 4 4

C

3 3 35 5 } } 4 2

D

3 3 45 3 } 4

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33

34

3 times its original size. The original photograph was Liang enlarged a photograph to 1 } 4 5 inches wide. What was the width of the enlarged photograph?

A

3 inches 5 }} 20

B

3 inches 5} 4

C

3 inches 6} 4

D

3 inches 8} 4

Which expression represents the phrase below? 24 divided by the difference of 8 and 2

35

46

A

24 4 8 2 2

B

24 4 (8 2 2)

C

24 4 2 2 8

D

24 4 (2 2 8)

Gelisa caught one fish that had a mass of 1.78 kilograms and a second fish that had a mass of 1.87 kilograms. What is the total mass of the two fish, rounded to the nearest tenth?

A

2.1 kilograms

B

2.7 kilograms

C

3.5 kilograms

D

3.7 kilograms

Practice 2: Book 2

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36

Which expression represents the phrase below? 3 multiply 8 by the sum of 9 and } 4

37

38

A

3 2 18 3 92 } 4

B

3 8 91 } 4

C

81

D

3 9 82 } 4

1

2 3

19 2

1

} 42

2

A box is completely filled by 18 unit cubes. What is the volume of the box?

A

18 cubic units

B

18 units

C

54 cubic units

D

54 units

Which term does not describe every trapezoid?

A

quadrilateral

B

plane figure

C

parallelogram

D

closed figure

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39

Marla writes the expression below. (4 3 3) 1 (18 4 6) What is the value of the expression? Show your work.

Answer Marla thinks she can rewrite the expression as 4 3 (3 1 18) 4 6 and still get the same value. Is she correct? What is the value of Marla’s expression? Show your work.

Answer

48

Practice 2: Book 2

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40

Jacob’s refrigerator is shown below.

25 in. 70 in.

36 in.

35 in.

[not drawn to scale] What is the volume, in cubic inches, of Jacob’s refrigerator? Show your work.

Answer

cubic inches

In cubic inches, how much greater is the volume of the bottom part of the refrigerator than the volume of the top part? Show your work.

Answer

Practice 2: Book 2

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cubic inches

GO ON 49

41

A community program chooses 16 fifth-grade students every year and provides each of them with the same amount of money to attend music or art camp. Last year, the program awarded a total of $8,400 to the students. How much money did each student get? Show your work.

Answer $ After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an additional 15 students. How much money did each of these students receive? Show your work.

Answer $

50

Practice 2: Book 2

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42

Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Draw a visual model to find the distance Amber ran each hour. Between which two whole numbers does the distance she ran each hour lie? Show your work.

Answer Between

and

kilometers each hour

How far, in kilometers, did Amber run each hour? Show your work.

Answer

kilometers each hour

Shonice won the race, finishing in 2 hours. She also ran at the same speed and covered the same distance each hour. How far, in kilometers, did Shonice run each hour? Draw a visual model to help find the answer. Show your work.

Answer

kilometers each hour

Shonice says she ran twice as fast as Amber. Is Shonice correct? Explain. Answer

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51

43

Andrew measured the masses of different rock samples. He found that the mass of the granite sample was 1.64 kilograms and the mass of the quartz sample was 0.83 kilogram. Andrew wants to know the total mass of the two rock samples. Shade the grids below to find the sum of the masses of the granite and quartz samples.

Answer

kilogram(s)

Andrew wants to know the difference in the masses of the granite and quartz samples. Shade the grids below to find the difference.

Answer

52

kilogram(s)

Practice 2: Book 2

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44

Roberta says she plans to draw a figure with these properties: • • • •

opposite sides are parallel opposite sides have equal lengths four right angles all sides are not the same length

Draw Roberta’s figure. What name best describes the figure?

Answer Suppose Roberta decides to draw her figure with all sides the same length. Draw the figure. What name best describes the figure now?

Answer

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45

Juanita wants to participate in a 20-kilometer bicycle race. She is considering using one of the two training programs below. Program A: Ride 10 kilometers on the first day and increase the distance by an additional 500 meters each day. Program B: Ride 7,500 meters on the first day and increase the distance by an additional 0.75 kilometer each day. If Juanita chooses Program A, on which day will she ride 15 kilometers for the first time? Show your work.

Answer If Juanita chooses Program B, how many total kilometers will she ride in the first three days? Show your work.

Answer

kilometers

Juanita wants to ride at least 20 kilometers a day. Which program will allow her to reach this goal sooner? Show your work.

Answer

STOP 54

Practice 2: Book 2

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