Let's solve each problem step by step from the
Class 7 Maths Worksheet on Integers.
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1. Shyak has overdrawn his checking account by Rs.38. The bank debited him Rs.20 for an overdraft fee. Later, he deposited Rs.150. What is his current balance?
- Overdrawn by Rs.38 → means balance =
-38
- Bank debits Rs.20 → so subtract another 20:
$-38 - 20 = -58$
- He deposits Rs.150 → add 150:
$-58 + 150 = 92$
✔ Answer: ₹92
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2. In a school exam, Rohan’s score was up to 500 points. Then he scored -100 points in the words category. What was his score then?
- Starting score: 500
- Scored -100 in words → means he lost 100 points
$500 + (-100) = 400$
✔ Answer: 400
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3. The melting point of mercury is -39°C. The freezing point of alcohol is -98°C. How much more is the melting point of mercury as compared to the freezing point of alcohol?
We need to find the difference:
$$
-39 - (-98) = -39 + 98 = 59
$$
✔ Answer: 59°C
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4. An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach -350 m?
- Start: +10 m
- Final position: -350 m
- Total distance to descend:
From 10 m to -350 m →
$10 - (-350) = 10 + 350 = 360$ meters
- Speed: 6 m/min
Time = Distance ÷ Speed = $360 ÷ 6 = 60$ minutes
Convert to hours:
$60 \text{ min} = 1 \text{ hr}$
✔ Answer: 1 hr
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5. Find the product with suitable properties: 16 × (-34) + (-34) × (-18)
Use distributive property:
$$
= (-34) × (16 + (-18)) = (-34) × (-2) = 68
$$
✔ Answer: 68
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6. 23 × (-36) × 10
Multiply step by step:
First: $23 × (-36) = -828$
Then: $-828 × 10 = -8280$
✔ Answer: -8280
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7. 296 ÷ ___ = -148
Let the missing number be $x$:
$$
296 ÷ x = -148 \Rightarrow x = 296 ÷ (-148) = -2
$$
✔ Answer: -2
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8. -88 ÷ ___ = 11
Let $x$ be the missing number:
$$
-88 ÷ x = 11 \Rightarrow x = -88 ÷ 11 = -8
$$
✔ Answer: -8
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9. ___ ÷ 156 = -2
Let $x$ be the missing number:
$$
x ÷ 156 = -2 \Rightarrow x = -2 × 156 = -312
$$
✔ Answer: -312
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10. ___ ÷ 567 = -1
Let $x$ be the missing number:
$$
x ÷ 567 = -1 \Rightarrow x = -1 × 567 = -567
$$
✔ Answer: -567
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✔ Final Answers:
1. ₹92
2. 400
3. 59°C
4. 1 hr
5. 68
6. -8280
7. -2
8. -8
9. -312
10. -567
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Parent Tip: Review the logic above to help your child master the concept of integers word problems worksheet.
