Class 7 Mathematics Chapter 2: Operations with Integers — practice questions with answers
Free practice for Class 7 Mathematics, Chapter 2: Operations with Integers. Try the solved questions below, then take a free test with instant marking and explanations.
28 questions10 easy, 11 medium, 7 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Rakesh thinks of two numbers whose sum is 25 and difference (first − second) is 11. What is the first number?
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Answer: 18 (± 0)
Why: 18 + 7 = 25 and 18 − 7 = 11, so the first number is 18. [p.24]
Why: 18 + 7 = 25 and 18 − 7 = 11, so the first number is 18. [p.24]
Q2. A movement of −4 tells us ______.
- magnitude 4, direction leftward
- magnitude −4, direction rightward
- magnitude 4, direction rightward
- no movement
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Answer: A. magnitude 4, direction leftward
Why: Integers capture both distance (magnitude) and direction. [p.27]
Why: Integers capture both distance (magnitude) and direction. [p.27]
Q3. Using tokens, find (+7) − (+18).
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Answer: -11 (± 0)
Why: Add 11 zero pairs, remove 18 positives: 11 negatives are left, i.e. −11. [p.28]
Why: Add 11 zero pairs, remove 18 positives: 11 negatives are left, i.e. −11. [p.28]
Q4. What is the additive inverse of −18?
- 18
- −18
- 0
- 1/18
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Answer: A. 18
Why: −(−18) = 18; a number and its inverse add to 0. [p.29]
Why: −(−18) = 18; a number and its inverse add to 0. [p.29]
Q5. Find (−4) × (−2).
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Answer: 8 (± 0)
Why: Removing 2 negatives 4 times leaves 8 positives: 8. [p.30]
Why: Removing 2 negatives 4 times leaves 8 positives: 8. [p.30]
Q6. Given 123 × 456 = 56088, find (−123) × (−456).
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Answer: 56088 (± 0)
Why: Negative × negative is positive: 56088. [p.31]
Why: Negative × negative is positive: 56088. [p.31]
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Frequently asked questions
How many practice questions are there for Class 7 Mathematics Chapter 2: Operations with Integers?
28 questions (10 easy, 11 medium, 7 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.