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Class 7 Integer Word Problems — practice questions with answers

Integers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. The temperature in Shimla was 5°C in the morning. By night it dropped by 8°C. What was the night temperature?
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Answer: A) -3°C
5 - 8 = -3. So the night temperature was -3°C.
2. A diver descends at 2 m per second. Starting at the surface (0), where is she after 8 seconds, in metres relative to the surface?
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Answer: B) -16
Descend means negative: -2 × 8 = -16 m.
3. Two cities: Tawang is at -9°C and Pune is at 27°C.
By how many degrees is Pune warmer than Tawang?
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Answer: D) 36
27 - (-9) = 27 + 9 = 36°C warmer.
4. The temperature fell from 5°C at a steady rate to -19°C in 6 hours.
By how many degrees did it fall each hour?
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Answer: A) 4
Total fall = 5 - (-19) = 24°C. Per hour = 24 ÷ 6 = 4°C.
5. Five readings of a thermometer (°C) are -3, x, -3, x, -3, where x is an integer.
If the sum of all five readings is -1, what is the value of x?
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Answer: D) 4
Three -3's sum to -9. Sum = -9 + 2x = -1, so 2x = 8, x = 4.
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