CBSE Class 7 Mental Maths Integers Worksheet - Free Printable

Let's solve each of the questions from the image step by step, based on the rules of integers provided.

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Question 1: Evaluate: $-32 + 47$

We are adding a negative and a positive number.

$$
-32 + 47 = 47 - 32 = 15
$$

✔ Answer: $ \boxed{15} $

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Question 2: What will be the sum of $(-2035)$ and $285$?

$$
-2035 + 285 = -(2035 - 285) = -1750
$$

✔ Answer: $ \boxed{-1750} $

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Question 3: What will be the sum of $(-1006)$ and $(-934)$?

Adding two negative numbers:

$$
-1006 + (-934) = -(1006 + 934) = -1940
$$

✔ Answer: $ \boxed{-1940} $

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Question 4: Subtract $(-56)$ from $144$

Subtracting a negative is the same as adding:

$$
144 - (-56) = 144 + 56 = 200
$$

✔ Answer: $ \boxed{200} $

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Question 5: Subtract the sum of $-1878$ and $878$ from $2000$

First, find the sum:
$$
-1878 + 878 = -(1878 - 878) = -1000
$$

Now subtract this from 2000:
$$
2000 - (-1000) = 2000 + 1000 = 3000
$$

✔ Answer: $ \boxed{3000} $

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Question 6: Subtract $-134$ from the sum of $37$ and $-87$

First, find the sum:
$$
37 + (-87) = 37 - 87 = -50
$$

Now subtract $-134$ from $-50$:
$$
-50 - (-134) = -50 + 134 = 84
$$

✔ Answer: $ \boxed{84} $

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Question 7: What is the difference between $[36 - (-64)]$ and $[(-64) - 36]$?

Evaluate each expression:

- $36 - (-64) = 36 + 64 = 100$
- $(-64) - 36 = -64 - 36 = -100$

Now find the difference:
$$
100 - (-100) = 100 + 100 = 200
$$

✔ Answer: $ \boxed{200} $

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Question 8: Simplify: $\{-13 - (-27)\} + \{-25 - (-40)\}$

Simplify inside the braces:

- $-13 - (-27) = -13 + 27 = 14$
- $-25 - (-40) = -25 + 40 = 15$

Now add:
$$
14 + 15 = 29
$$

✔ Answer: $ \boxed{29} $

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Question 9: The sum of two integers is $(-16)$. If one of them is $53$, find the other.

Let the unknown integer be $x$. Then:

$$
x + 53 = -16
$$

Subtract 53 from both sides:

$$
x = -16 - 53 = -69
$$

✔ Answer: $ \boxed{-69} $

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Question 10: The sum of two integers is $65$. If one of them is $-35$, find the other.

Let the unknown integer be $x$:

$$
x + (-35) = 65 \Rightarrow x - 35 = 65
$$

Add 35 to both sides:

$$
x = 65 + 35 = 100
$$

✔ Answer: $ \boxed{100} $

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✔ Final Answers Summary:

| Question | Answer |
|--------|--------|
| 1 | $15$ |
| 2 | $-1750$ |
| 3 | $-1940$ |
| 4 | $200$ |
| 5 | $3000$ |
| 6 | $84$ |
| 7 | $200$ |
| 8 | $29$ |
| 9 | $-69$ |
| 10 | $100$ |

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