Grade 5 Math Practice Test: Fractions as Division and Multiplication as Scaling
- Fractions as Division and Multiplication as Scaling
- 10 questions
- 12 minutes
This test practices two ideas: a fraction a/b means a ÷ b, and multiplying by a fraction greater or less than 1 makes a number bigger or smaller. Tip: compare the factor with 1 before you calculate.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Which fraction is equal to 3 ÷ 4?
Correct answer: C
A fraction is a division of the numerator by the denominator, so 3 ÷ 4 = 34. 43 would be 4 ÷ 3.
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Question 2
Five friends share 3 pizzas equally. How much pizza does each friend get?
Correct answer: D
Sharing 3 pizzas among 5 people is 3 ÷ 5 = 35. 53 is more than a whole pizza each, which is impossible with only 3 pizzas for 5 people.
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Question 3
Which mixed number is equal to 17 ÷ 5?
Correct answer: B
5 goes into 17 three times (15) with 2 left over, so 17 ÷ 5 = 3 25.
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Question 4
Kim pours 2 pounds of trail mix equally into 3 bags. How many pounds are in each bag?
Correct answer: A
2 pounds ÷ 3 bags = 23 pound per bag. 32 pounds per bag would need 412 pounds in all.
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Question 5
Between which two whole numbers is 25 ÷ 4?
Correct answer: D
4 × 6 = 24 and 4 × 7 = 28, so 25 ÷ 4 = 6 14, which is between 6 and 7.
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Question 6
Without multiplying, how does 34 × 250 compare with 250?
Correct answer: A
Multiplying by a fraction less than 1 gives a product smaller than the starting number. Multiplying does not always make a number bigger.
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Question 7
Without multiplying, which product is greater than 9?
Correct answer: A
1 13 is greater than 1, so the product is greater than 9. 9 × 1 is exactly 9, and the other factors are less than 1.
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Question 8
A poster is 18 inches wide. A smaller copy is 23 as wide as the poster. How wide is the copy?
Correct answer: C
23 × 18 = 12 inches. The copy is smaller, so 27 inches cannot be right; 6 inches is only 13 of the width.
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Question 9
Which expression has a value less than 58?
Correct answer: B
45 is less than 1, so it shrinks 58. The other factors are greater than 1 and make the product greater than 58.
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Question 10
Seven yards of rope are cut into 4 equal pieces. How long is each piece?
Correct answer: D
7 ÷ 4 = 74 = 1 34 yards. 47 comes from dividing 4 by 7 instead of 7 by 4.
Questions you leave blank are not counted as wrong.
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