Grade 3 Math Practice Test: Comparing and Equivalent Fractions
- Comparing and Equivalent Fractions
- 10 questions
- 12 minutes
These questions practice finding equivalent fractions and comparing two fractions of the same whole. Tip: with the same denominator, more parts is bigger; with the same numerator, smaller parts (a bigger denominator) is smaller.
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 equivalent to 12?
Correct answer: D
Two fourths cover the same amount of a whole as one half, so 24 = 12. 14 is only half as much as 12.
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Question 2
Which statement is true?
Correct answer: B
The denominators are the same, so the parts are the same size. 3 eighths is fewer parts than 5 eighths.
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Question 3
Two sandwiches are the same size. Which statement compares 13 of one sandwich and 16 of the other?
Correct answer: A
Cutting a sandwich into 3 pieces makes bigger pieces than cutting it into 6. A bigger denominator does not mean a bigger piece.
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Question 4
Which fraction is equal to 1 whole?
Correct answer: C
When all 6 of 6 equal parts are taken, you have the whole. 61 means 6 wholes.
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Question 5
Which number is equal to 84?
Correct answer: A
Four fourths make 1 whole, so eight fourths make 2 wholes. 4 is the number of parts in one whole, not the number of wholes.
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Question 6
Two pizzas are the same size. Jo ate 28 of one pizza. Max ate 14 of the other pizza. Which statement is true?
Correct answer: D
28 and 14 are equivalent: two eighths cover the same part of a pizza as one fourth. Jo has more pieces, but each piece is smaller.
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Question 7
What number goes in the box?
23 = ☐6Correct answer: C
Sixths are made by cutting each third into 2 equal parts, so 2 thirds become 4 sixths. 3 would give 3 sixths, which equals one half.
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Question 8
Which fraction is less than 26?
Correct answer: B
All the fractions except 56 have 2 as the numerator, so compare the size of the parts: eighths are smaller than sixths, so 28 is less. 56 has more sixths, so it is greater.
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Question 9
Which list shows the fractions in order from least to greatest?
Correct answer: D
All three have 1 as the numerator, so the fraction with the most parts in the whole is the smallest: 18 is least and 12 is greatest. The first wrong list is the same fractions from greatest to least.
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Question 10
The rectangle is divided into equal parts.
Which fraction is equivalent to the shaded part of the rectangle?
Correct answer: A
3 of the 6 equal parts are shaded, which is 36. That is exactly half of the rectangle, so it is equivalent to 12. 16 is the size of only one part.
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