1. Find the value of 8 − (3 + 2).
- A3
- B7
- C13
- D9
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Answer: A) 3
Work out the bracket first: 3 + 2 = 5. Then 8 − 5 = 3. (7 comes from 8 − 3 + 2, which wrongly leaves the + sign unchanged.)
Class 7 Integer Expressions with Brackets — practice questions with answers
Integers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Which rearrangement of 25 − 9 + 4 has the same value?
- A25 + 4 − 9
- B25 − 4 − 9
- C25 − 4 + 9
- D9 − 25 + 4
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Answer: A) 25 + 4 − 9
Each term keeps its own sign when terms are swapped: 25, −9, +4 can be written as 25 + 4 − 9 = 20. The others change a sign, giving −12, 30 and 12.
3. Gopal had ₹750. He paid 4 bills of ₹95 each and then got a refund of ₹60. How much money does he have now?
- A₹370
- B₹310
- C₹560
- D₹430
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Answer: D) ₹430
750 − 4 × 95 + 60 = 750 − 380 + 60 = 430. (₹310 subtracts the refund instead of adding it.)
4. A frog starts at 0 on a number line. It jumps 3 to the right and then 5 to the left, and repeats this pair of jumps 4 times in all. Where does it end?
- A−32
- B−2
- C8
- D−8
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Answer: D) −8
Each pair of jumps: 3 − 5 = −2. Four pairs: 4 × (3 − 5) = 4 × (−2) = −8.
5. Kabir says 'a − (b + c) always equals a − b + c'. Test with a = 10, b = 4, c = 3. What do you find?
- AHe is right: both give 9
- BHe is wrong: 3 and 9 are different
- CHe is wrong: 3 and 17 are different
- DHe is right: both give 3
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Answer: B) He is wrong: 3 and 9 are different
10 − (4 + 3) = 3, but 10 − 4 + 3 = 9. The correct rule is a − (b + c) = a − b − c.
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