Class 7 Mathematics Chapter 8: Working with Fractions — practice questions with answers
Free practice for Class 7 Mathematics, Chapter 8: Working with Fractions. Try the solved questions below, then take a free test with instant marking and explanations.
29 questions8 easy, 13 medium, 8 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Aaron walks 3 km in 1 hour. How far (km) can he walk in 5 hours?
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Answer: 15 (± 0)
Why: 5 × 3 = 15 km. [p.173]
Why: 5 × 3 = 15 km. [p.173]
Q2. Aaron’s tortoise walks 1/4 km in 1 hour. How far does it walk in 3 hours?
- 3/4
- 1/12
- 4/3
- 1/3
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Answer: A. 3/4
Why: 3 × 1/4 = 3/4 km. [p.174]
Why: 3 × 1/4 = 3/4 km. [p.174]
Q3. A farmer gives 2/3 acre of land to each of her 5 grandchildren. How much land does she give in all?
- 10/3
- 2/15
- 7/3
- 3/10
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Answer: A. 10/3
Why: 5 × 2/3 = 10/3 acres (3 1/3 acres). [p.176]
Why: 5 × 2/3 = 10/3 acres (3 1/3 acres). [p.176]
Q4. A rectangle has sides 1/2 unit and 1/4 unit. What is its area?
- 1/8
- 3/4
- 1/6
- 1/2
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Answer: A. 1/8
Why: 8 such rectangles make the unit square, so the area is 1/8 = 1/2 × 1/4. [p.180]
Why: 8 such rectangles make the unit square, so the area is 1/8 = 1/2 × 1/4. [p.180]
Q5. The order of multiplication of fractions does not matter: a/b × c/d = c/d × a/b.
True or false?
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Answer: True
Why: The area of a rectangle stays the same when length and breadth swap. [p.186]
Why: The area of a rectangle stays the same when length and breadth swap. [p.186]
Q6. A number that gives 1 when multiplied by a fraction is called its ______.
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Answer: reciprocal
Why: 3/2 × 2/3 = 1, so 3/2 is the reciprocal of 2/3. [p.187–189]
Why: 3/2 × 2/3 = 1, so 3/2 is the reciprocal of 2/3. [p.187–189]
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Frequently asked questions
How many practice questions are there for Class 7 Mathematics Chapter 8: Working with Fractions?
29 questions (8 easy, 13 medium, 8 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 7 Mathematics syllabus, used by CBSE and many state boards.