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 1: Book 1
1
The drama club members buy 864 bags of popcorn to serve during the intermission of their play. Popcorn comes in cases of 24 bags, and they pay $18 for each case. How much did they pay for all of the popcorn?
A $432 B $648 C $864 D $1,152
2
Each cube in the prisms below has a volume of 1 cubic unit. Which prism has a volume of 60 cubic units?
A
B
2
C
D
Practice 1: Book 1
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3
Each model represents one whole. In which model does the shaded section represent the 3 ? product of } 5 and } 8 8 5 8
3 8
3 8
5 8
A 5 8
C 3 8
3 8
5 8
B
D
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3
4
Zach divides 6 cups of fruit juice equally among 8 friends. How much fruit juice does each friend get? 1 cup A } 4
3 cup B } 4
5
C
1 cups 1 } 3
D
2 cups 2 } 3
Vicente wants to plant 3 different types of onions in } 1 of his garden. He will use an equal 4 amount of space to plant each type of onion. What fraction of the total garden space will contain each type of onion? 1 A }} 12
1 B } 7
1 C } 4
1 D } 3
4
Practice 1: Book 1
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Mack used this model to find the quotient of 588 4 14.
14
40
560
2
28
Which equation shows the final step in finding the quotient?
A 42 2 2 5 40 B 40 1 2 5 42 C 40 1 14 5 54 D 40 1 14 1 2 5 56
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7
A new road was added near Riana’s neighborhood. The road is 5 miles long, and the city plans to place a streetlight every }} 1 mile. There already is a streetlight at the beginning of the new 10 road. How many streetlights will be placed on the new road?
A 2 B 5 C 20 D 50
8
Which number is one tenth of the number shown in expanded form below?
1
2 1
(3 3 1,000) 1 (2 3 100) 1 (7 3 10) 1 (5 3 1) 1 2 3 }} 1 1 5 3 }} 1 10 100
2
A 3.27525 B 32.7525 C 327.525 D 3,275.15
6
Practice 1: Book 1
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9
The figure below is composed of two rectangular prisms.
3 cm
8 cm
3 cm
9 cm
3 cm
5 cm
What is the volume of the figure?
A
60 cubic centimeters
B
72 cubic centimeters
C
135 cubic centimeters
D
207 cubic centimeters
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10
2 cups of flour. He plans to make 4 batches. Li’s recipe uses 3 } 3
How much flour will Li need?
8
A
2 cups 14 } 3
B
2 cups 12 } 3
C
2 cups 9 } 3
D
2 cups 7 } 3
Practice 1: Book 1
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11
The manager of a sporting goods store ordered 256 packages of football cards. There are 24 cards in each package. How many football cards did the manager order?
A 232 B 280 C 6,144 D 6,400
12
Evaluate. 2 3 [4 3 (2 1 1) 3 3]
A 72 B 24 C 22 D 19
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13
Max finds the product of } 3 3 16. 7 Which statement is true?
14
15
A
3 because 16 . 3 . The product is less than } } 7 7
B
The product is greater than } 3 because 16 . 1. 7
C
The product is greater than 16 because } 3 , 1. 7
D
The product is less than 16 because } 3 , 16. 7
Aika has 294 one-foot unit cubes. He uses them to build a rectangular prism. He has 6 cubes left over. Which could be the dimensions of Aika’s rectangular prism?
A
6 ft 3 8 ft 3 8 ft
B
6 ft 3 6 ft 3 8 ft
C
4 ft 3 6 ft 3 8 ft
D
4 ft 3 6 ft 3 10 ft
Which statement best describes the product of } 4 3 10? 5 4 3 10 must be less than 10 because 4 , 1. A } } 5
5
4 3 10 must be greater than 10 because 4 , 1. B } } 5
5
4 3 10 must be greater than 10 because 10 . 1. C } 5
4 3 10 must be less than 10 because 10 . 1. D } 5
10
Practice 1: Book 1
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Stanley had $10.75. He bought a notebook for $1.89 and a package of pens for $3.72. He will use the rest of his money to buy as many folders as he can. If each folder costs 64 cents, how many folders can Stanley buy?
A 7 B 8 C 9 D 10
17
Arella needs to paint a board that is 2 meters wide and 3 meters tall. If 1 cup of paint will cover 1,000 square centimeters, how many cups of paint will Arella need?
A
0.6 cup
B
6 cups
C
60 cups
D
600 cups
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18
A baker bought 7,500 grams of flour for $19.20. How much did each kilogram of flour cost?
A $2.56 B $3.90 C $7.50 D $25.60
19
1 ? What is the difference of } 2 and } 3 2 7 A } 6
1 B } 1
3 C } 5
1 D } 6
20
12
At a recent track meet, the fastest time in the 40-yard dash was 4.37 seconds, and the slowest time was 5.08 seconds. What is the difference between the fastest time and the slowest time?
A
0.45 second
B
0.71 second
C
1.43 seconds
D
9.45 seconds
Practice 1: Book 1
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Which decimal model represents the sum of 1.78 and 0.93?
A
B
C
D
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22
23
14
3 pounds of Swiss Jalen bought }} 9 pound of blue cheese at the deli. He also bought 1 }} 16 16 3 pounds of cheese altogether. Which best cheese. He estimates that he bought about 1 } 4 describes Jalen’s estimate?
A
9 is about 3 and 1 3 is about 1 1 , and 3 1 1 1 5 2 1 . It is not reasonable because }} } }} } } } } 4 4 4 16 16 2 2
B
1 and 1 3 is about 1 1 , and 1 1 1 1 5 1 3 . It is reasonable because }} 9 is about } }} } } } } 4 4 4 16 2 16 2
C
3 is about 1, and 1 1 1 5 2. It is not reasonable because }} 9 is about 1 and 1 }} 16 16
D
9 is about 1 and 1 3 is about 1, and 1 1 1 5 2 , which is It is reasonable because }} }} } 16 16 2 3 about 1 } . 4
The volume of Olivia’s rectangular lunchbox is 240 cubic inches. The lunchbox is 3 inches deep, and its length is 2 inches more than its width. What is the width of Olivia’s lunchbox?
A
6 inches
B
8 inches
C
9 inches
D
10 inches
Practice 1: Book 1
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25
Which statement is true?
A
All parallelograms are squares.
B
All parallelograms are rhombuses.
C
All rectangles are squares.
D
All squares are rhombuses.
Which situation is best modeled by the expression } 1 4 5? 2
A
1 hour every day. If he practiced five days in Glen practices shooting free throws for } 2 a row, how many hours did he practice?
B
At Field Day, 5 students combine to run } 1 mile in a relay race. If each student runs the 2 same distance, how far will each student run?
C
Juana cut 5 yards of rope into pieces that were each } 1 yard long. How many pieces 2 did she cut?
D
Oliver lives 5 miles from the beach. Piao lives } 1 as far from the beach as Oliver. How far 2 from the beach does Piao live?
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26
A rectangular prism is shown below.
9 mm
10 mm 15 mm [not drawn to scale] Which expression can be used to find the greatest number of 1-millimeter unit cubes that could be packed into the prism?
A 150 1 9 B 150 3 9 C 25 1 9 D 15 3 19
27
The grids below show two different fractions.
1
Which addition expression do the grids model? 6 1 6 A }} }} 10
100
60 1 6 B }} }} 100
10
6 100 C }} 1 }} 6
10
10 1 100 D }} }} 6
16
6
Practice 1: Book 1
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Elaine practices violin 5 days each week. The model shows the number of days Elaine practices in 6 weeks.
How many weeks in all did Elaine practice the piano during the 6 weeks?
A
4 weeks 4 } 7
B
3 weeks 4 } 7
C
2 weeks 4 } 7
D
1 weeks 4 } 7
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29
The table shows the diameters of different types of super balls sold at a store.
Ball Type by Letter
Diameter (inches)
P
0.625
Q
1.125
R
0.812
S
0.938
Which comparison of super ball diameter is true?
A S . R B Q , S C P . Q D R , P
30
Which statement about a rhombus is never true?
A
It also is a rectangle.
B
It also is a hexagon.
C
It also is a square.
D
It also is a parallelogram.
STOP 18
Practice 1: Book 1
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Practice 1: Book 2 31
What is the solution to the following multiplication problem? 143 3 67
A 1,429 B 7,261 C 9,139 D 9,581
32
The height of a rectangular prism is 2 meters. The width of the prism is 2 times the height, and the length is 2 times the width. What is the greatest number of 1-meter unit cubes that will fit into the rectangular prism?
A 4 B 48 C 64 D 128
33
Which correctly compares the values of the digits 8 in the number 438.87? 1 A 0.8 5 8 4 }} 10
B 0.8 5 8 3 }} 1 10
C 8 . 0.8 4 }} 1 10
1 D 8 , 0.8 3 }} 10
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34
1 hours to mow her yard. It takes Kam half as long to mow his yard. How long It takes Jada 1 } 2 does it take Kam to mow his yard? 1 hour A } 2
3 hour B } 4
35
C
1 hour
D
3 hours
Amanda has blueberry plants in her yard. In 2 days, she picked a total of 3 pounds of blueberries. If she picked the same amount of blueberries each day, how many ounces of blueberries did Amanda pick each day?
A 12 B 18 C 24 D 48
20
Practice 1: Book 2 1
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36
How many zeros are in the simplified expression 4 3 10x ?
A
x
B
x21
C
x11
D 4x
37
The water in a swimming pool evaporates at a rate of } 1 inch per day. The water level in the 6 pool has dropped 3 inches since the last time the pool was filled. How many days have passed since the pool was filled?
A
36 days
B
18 days
1 day C } 2
1 day D }} 18
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38
Queisha spent } 1 hour answering 9 homework questions for her history class. She spent the 3 same amount of time on each question. What fraction of an hour did it take Queisha to answer each question? 1 A } 3
1 B } 9
1 C }} 12
1 D }} 27
22
Practice 1: Book 2 1
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39
3 meter wide. John bought a rectangular door mat that was } 1 meter long and }} 2 10 Draw a visual model to show the area of the mat.
What is the area of the door mat? Answer
square meter(s)
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40
All rectangles have two pairs of parallel sides. All squares are rectangles with four congruent sides. Do all squares have two pairs of parallel sides? Use the statements from above to help you explain your answer. Answer
Do all rectangles have four congruent sides? Use the statements from above to help you explain your answer. Answer
24
Practice 1: Book 2 1
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41
Ivan has just opened a small coffee shop. He paid a copy store $0.10 per copy to make 1,428 copies of the flyer to announce the opening of the shop. Ivan is having 14 of his friends distribute all 1,428 flyers, and he is paying them $0.25 for each flyer they distribute. He gave each friend the same number of flyers. What is the total amount Ivan is paying each friend to distribute his or her share of the flyers? Show your work.
Answer $ What is the total cost for making all of the copies and paying all of his friends? Show your work.
Answer $
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42
Miranda made 6.88 pounds of trail mix. She used 4.96 pounds of granola for the mix. Miranda wrote the equation w 1 4.96 5 6.88 to represent the weight of other ingredients, w, she used for the trail mix. Write a subtraction equation you could use to find the weight, w, of the other ingredients Miranda used.
Equation What was the weight, in pounds, of ingredients other than granola in Miranda’s trail mix? Show your work.
Answer
26
pounds
Practice 1: Book 2 1
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43
An architect was designing a rectangular room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. What is the volume, in cubic feet, of the room? Show your work.
Answer
cubic feet
The architect changed his design and added 2 feet to the length and width of the room. In cubic feet, how much greater is the volume of the room in his new design? Show your work.
Answer
cubic feet
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44
Penn buys 3 large sub sandwiches to serve at a party. He cuts the sandwiches into equal pieces and serves } 1 sandwich to each guest. 4 Each of these rectangles represents one whole sandwich. Draw lines in the model to show how Penn divided the sandwiches for his party.
Write an equation to represent the number of guests, g, Penn served if he had no leftovers and he didn’t eat any piece of a sandwich. Equation To how many guests did Penn serve sandwiches? Show your work.
Answer
28
guests
Practice 1: Book 2 1
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45
Ms. Whittier wrote the following on the board:
the product of 6 and the sum of 4 and 5
She asked the students in her class to write an expression to represent what she wrote. Sherry wrote the following expression: 63415 Did Sherry write a correct expression? Explain why or why not. Answer
Write two different expressions to represent what Ms. Whittier wrote. Explain how you know they are both correct. Answer
STOP Practice 1: Book 2 1
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Ready® New York CCLS Mathematics Practice 1, Grade 5 Answer Form Name Teacher
Grade
School
City
Cut along the dotted line.
Book 1 1. A B 2. A B 3. A B 4. A B 5. A B 6. A B 7. A B 8. A B 9. A B 10. A B 11. A B 12. A B 13. A B 14. A B 15. A B 16. A B 17. A B 18. A B 19. A B 20. A B 21. A B 22. A B 23. A B 24. A B 25. A B 26. A B 27. A B 28. A B 29. A B 30. A B
C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C
D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D
Book 2 31. A B 32. A B 33. A B 34. A B 35. A B 36. A B 37. A B 38. A B
C C C C C C C C
D D D D D D D D
For questions 39 through 45, write your answers in the book. 39. See page 23. 40. See page 24. 41. See page 25. 42. See page 26. 43. See page 27. 44. See page 28. 45. See page 29.
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