G5 U7 Assessment
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Grade 5 Unit 7 Assessment Dividing Fractions 1.
Which models represent this expression? 4÷
1 4
A
B
C
D 0
1
2
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 1
3
4
2.
Solve. 6÷ A B C D
3.
1 5
30 6 5 7 5
16
Which stories can be represented by this expression? 12 ÷
1 3 1
A
A dozen basketball players each drank 3 of a gallon of sports juice.
B
Twelve giant marshmallows were each cut into thirds.
C
A third of the 12 eggs were broken in the carton.
D
12 inches of double-sided tape were cut into lengths of of an inch.
1 3
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4.
Which stories can be represented by this expression? 1 ÷5 5
5.
1
A
Peter poured 5 of a cup of juice into each of five glasses.
B
Five friends equally shared one whole pizza.
C
Marcy equally divided 5 of a gallon of white frosting into 5 individual bowls.
D
In 5 of an hour, Justin took the same amount of time to write each of 5 thank you cards.
1
1
1
Martha has 4 of a liter of strawberry syrup and wants to make 8 snow cones. Which equation accurately represents the amount of strawberry syrup that can be used on each snow cone? 1
A
8 ÷ 4 = 2 liters
B
8 ÷ 4 = 32 of a liter
C D
1
1 4 1
1
÷ 8 = 2 liters 1
÷ 8 = 32 of a liter 4
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 3
6.
David has a half-pound of birdseed, which is enough to make 5 ornaments to hang from a tree and feed the wild birds in his backyard. Each ornament will get an equal amount of the birdseed. Which fraction models show the amount of birdseed that will go into each ornament?
A 0
1 2
B
C
D
7.
Solve. 1 ÷3 7 A B C D
3 7 1 21
21 7 3
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 4
1
8.
Sergio made 16 pounds of fudge, which he will pack in boxes that each hold 1 of a pound. Which equation shows how many containers he will need? 3 16 ÷ 3 = 48 containers
B
16 ÷ 3 = 3 3 containers
C D
9.
1
A
1
1 3
÷ 16 =
1
1 48
of a container
1
16 ÷ 2 = 32 containers
One cold afternoon, Mr. Le heated three cups of milk to make hot 1 chocolate. Each serving was 2 cup. Which fraction models show the number of servings he made? A
B
C
D 0
1
2
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 5
3
10.
Mai correctly solved this problem. 1 1 ÷7 = 4 28 Which equation uses the relationship between multiplication and division to explain why Mai’s answer is correct?
A B C D
11.
1
7
1
4
1
7
1
× 7 = 28 = 4 28 1
1
28
÷ 4 = 28 = 7
1
1
× 28 = 28 = 4 7 1
7
3
7 × 4 = 4 = 14
Solve. 9÷ A B
1 6
1
12 55 6
C
54
D
45
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12.
Which fraction model and solution represent this equation? 1 ÷3=𝑧 2 A
4
𝑧=6
1
B 0
1
1
2
C
𝑧=3
D 1
𝑧 = 12
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𝑧=6
13.
1
Moises has a 2 meter of rope. He needs to cut it into 6 equal pieces. Which fraction model and equation show how long each piece of rope will be?
A
1
0
1
2 1 2
÷6=
1 12
of a meter
B
1
0
2 1 2
1
÷ 12 = 24 of a meter
C 0
1
2
3
4
5
6
5
6
1
6 ÷ 2 = 12 meters
D 0
1
2
3 1 2
4
× 6 = 3 meters
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14.
Pedram has a length of wood 7 yards long. Which equation represents the 1 number of pieces there will be if he cuts it into sections that are 8 of a yard long? A B
15.
1
7
7 × 8 = 8 of a piece 1 8
1
÷ 7 = 56 of a piece 1
C
7 ÷ 8 = 56 pieces
D
7 × 8 = 8 = 1 8 pieces
1
7
1
Jefferson correctly solved this problem. 6÷
1 = 48 8
Which equation uses the relationship between multiplication and division to explain why Jefferson’s answer is correct?
A B C D
1
1
÷ 48 = 384 8 1
48 × 8 = 1 8
8
=6
6
×6=8
48 6
48
=8
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16.
Write a story for this expression. 1 ÷4 3
Draw a fraction model to represent the expression.
Solve the expression.
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Grade 5 Unit 7 Assessment Dividing Fractions 1.
Which models represent this expression? 4÷
1 4
A
B
C
D 0
1
2
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 1
3
4
2.
Solve. 6÷ A B C D
3.
1 5
30 6 5 7 5
16
Which stories can be represented by this expression? 12 ÷
1 3 1
A
A dozen basketball players each drank 3 of a gallon of sports juice.
B
Twelve giant marshmallows were each cut into thirds.
C
A third of the 12 eggs were broken in the carton.
D
12 inches of double-sided tape were cut into lengths of of an inch.
1 3
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 2
4.
Which stories can be represented by this expression? 1 ÷5 5
5.
1
A
Peter poured 5 of a cup of juice into each of five glasses.
B
Five friends equally shared one whole pizza.
C
Marcy equally divided 5 of a gallon of white frosting into 5 individual bowls.
D
In 5 of an hour, Justin took the same amount of time to write each of 5 thank you cards.
1
1
1
Martha has 4 of a liter of strawberry syrup and wants to make 8 snow cones. Which equation accurately represents the amount of strawberry syrup that can be used on each snow cone? 1
A
8 ÷ 4 = 2 liters
B
8 ÷ 4 = 32 of a liter
C D
1
1 4 1
1
÷ 8 = 2 liters 1
÷ 8 = 32 of a liter 4
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 3
6.
David has a half-pound of birdseed, which is enough to make 5 ornaments to hang from a tree and feed the wild birds in his backyard. Each ornament will get an equal amount of the birdseed. Which fraction models show the amount of birdseed that will go into each ornament?
A 0
1 2
B
C
D
7.
Solve. 1 ÷3 7 A B C D
3 7 1 21
21 7 3
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 4
1
8.
Sergio made 16 pounds of fudge, which he will pack in boxes that each hold 1 of a pound. Which equation shows how many containers he will need? 3 16 ÷ 3 = 48 containers
B
16 ÷ 3 = 3 3 containers
C D
9.
1
A
1
1 3
÷ 16 =
1
1 48
of a container
1
16 ÷ 2 = 32 containers
One cold afternoon, Mr. Le heated three cups of milk to make hot 1 chocolate. Each serving was 2 cup. Which fraction models show the number of servings he made? A
B
C
D 0
1
2
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 5
3
10.
Mai correctly solved this problem. 1 1 ÷7 = 4 28 Which equation uses the relationship between multiplication and division to explain why Mai’s answer is correct?
A B C D
11.
1
7
1
4
1
7
1
× 7 = 28 = 4 28 1
1
28
÷ 4 = 28 = 7
1
1
× 28 = 28 = 4 7 1
7
3
7 × 4 = 4 = 14
Solve. 9÷ A B
1 6
1
12 55 6
C
54
D
45
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 6
12.
Which fraction model and solution represent this equation? 1 ÷3=𝑧 2 A
4
𝑧=6
1
B 0
1
1
2
C
𝑧=3
D 1
𝑧 = 12
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 7
𝑧=6
13.
1
Moises has a 2 meter of rope. He needs to cut it into 6 equal pieces. Which fraction model and equation show how long each piece of rope will be?
A
1
0
1
2 1 2
÷6=
1 12
of a meter
B
1
0
2 1 2
1
÷ 12 = 24 of a meter
C 0
1
2
3
4
5
6
5
6
1
6 ÷ 2 = 12 meters
D 0
1
2
3 1 2
4
× 6 = 3 meters
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 8
14.
Pedram has a length of wood 7 yards long. Which equation represents the 1 number of pieces there will be if he cuts it into sections that are 8 of a yard long? A B
15.
1
7
7 × 8 = 8 of a piece 1 8
1
÷ 7 = 56 of a piece 1
C
7 ÷ 8 = 56 pieces
D
7 × 8 = 8 = 1 8 pieces
1
7
1
Jefferson correctly solved this problem. 6÷
1 = 48 8
Which equation uses the relationship between multiplication and division to explain why Jefferson’s answer is correct?
A B C D
1
1
÷ 48 = 384 8 1
48 × 8 = 1 8
8
=6
6
×6=8
48 6
48
=8
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 9
16.
Write a story for this expression. 1 ÷4 3
Draw a fraction model to represent the expression.
Solve the expression.
Copyright © Swun Math Grade 5 Unit 7 Assessment, Page 10
