CLASS 7 INTEGERS

 

Worksheet 1: Integers - Class 7 (ICSE)

Section A: Fill in the Blanks

1. The additive inverse of $-15$ is ______.
2. $(-7)+0=\_\_\_\_$.
3. Subtracting an integer is the same as ______ it.
4. The product of two negative integers is always ______.
5. $(-8)\times (-3)=\_\_\_\_$.

Section B: True or False

6. $(-12)+(-8)=20$.
7. The sum of an integer and its additive inverse is always 1.
8. $(-5)\times 3=-15$.
9. Division of integers is commutative.
10. Zero is neither positive nor negative.

Section C: Solve the Following

11. Evaluate:$(-25)+18-(-7)$.
12. Subtract $(-12)$ from $(-5)$.
13. Multiply:$(-6)\times 4\times (-2)$.
14. Divide:$(-48)÷(-8)$.
15. Simplify:$7-[(-4)+6]+(-3)$.

Section D: Word Problems

16. A submarine is at a depth of 300 meters below sea level. If it ascends by 125 meters and then descends by 75 meters, what is its final position relative to sea level?
17. In a game, a player gains 15 points in the first round, loses 20 points in the second round, and gains 25 points in the third round. What is the player's total score?
18. A temperature of $-5^\circ C$ decreases by 7∘C. What is the new temperature?

Section E: Match the Following

19. Match the operations with their results:
    • $(-4)+10$ → _____       (a) $-5$
    • $12-(-3)$ → _____       (b) $6$
    • $(-9)\times (-1)$ → _____    (c) $13$
    • $(-30)÷6$ → _____        (d) $14$

Section F: Higher-Order Thinking Skills (HOTS)

20. The sum of two integers is $-12$. If one of the integers is $-7$, find the other.
21. If the product of two integers is $72$, and one of the integers is $-9$, find the other.
22. A person walks 5 steps forward and then 3 steps backward, repeating this pattern 4 times. What is the person’s net movement?

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Answer Key: Worksheet 1

Section A: Fill in the Blanks

1. $15$
2. $-7$
3. Adding its opposite
4. Positive
5. $24$

Section B: True or False

6. False 
7. False
8. True
9. False
10. True

Section C: Solve the Following

11. $0$
12. $7$
13. $48$
14. $6$
15. $2$

Section D: Word Problems

16. Final position:$-250\text{meters}$.
17. Total score:$20$.
18. New temperature:−12∘C.

Section E: Match the Following

19. • $6$   (b)
    • $15$ (c)
    • $9$   (d)
    • $-5$ (a)

Section F: Higher-Order Thinking Skills (HOTS)

20. Other integer:$-5$.
21. Other integer:$-8$.
22. Net movement:
    In one cycle, net steps $2$.
    For 4 cycles: $8\text{steps forward}$.

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Worksheet 2: Integers - Class 7 (ICSE)

Section A: Fill in the Blanks

1. The sum of two negative integers is always ______.
2. The difference of $0$ and any integer is ______.
3. The product of $(-1)$ and any integer is its ______.
4. $(-10)÷(-2)=\_\_\_\_$.
5. Division by zero is ______.

Section B: Multiple Choice Questions (MCQs)

6. What is the value of $(-15)+(-6)$?

   • (a) $9$
   • (b) $-21$
   • (c) $-9$
   • (d) $21$

7. Which of the following statements is true?

   • (a) Subtraction of integers is commutative.
   • (b) Addition of integers is commutative.
   • (c) Division of integers is commutative.
   • (d) Multiplication of integers is not commutative.

8. The result of $12-(-8)$ is:

   • (a) $4$
   • (b) $-20$
   • (c) $20$
   • (d) $8$

9. The product of $(-3)\times 0$ is:

   • (a) $-3$
   • (b) $3$
   • (c) $0$
   • (d) Undefined

10. What is the additive inverse of $-100$?

    • (a) $100$
    • (b) $-100$
    • (c) $0$
    • (d) $1$

Section C: Solve the Following

11. Simplify:
    $(-32)+18-(-12)+(-6)$.
12. Subtract$(-24)$ from $45$.
13. Multiply:
    $(-8) \times (-5) \times (-2)$.
14. Divide:
    $44÷(-12)$.
15. Simplify:
    $20-[(5-9)\times (-3)]$.

Section D: Word Problems

16. A plane is flying at an altitude of 2000 meters above sea level. It descends 800 meters and then ascends 600 meters. What is its final altitude?
17. In a quiz competition, a participant gains 20 points for each correct answer and loses 10 points for each wrong answer. If the participant answers 5 questions correctly and 3 questions incorrectly, what is the final score?
18. A person has a debt of ₹5000. If they repay ₹2000, what is the remaining debt?

Section E: Match the Following

19. Match the operations with their results:
    • $(-7)+(-9)$ → _____ (a) $-8$
    • $20-(-12)$ → _____  (b) $32$
    • $(-15)÷5$ → _____    (c) $-16$
    • $(-2)\times (-4)$ → _____ (d) $8$

Section F: Higher-Order Thinking Skills (HOTS)

20. The sum of three integers is $-10$. Two of them are $-5$ and $7$. Find the third integer.
21. If the product of three integers is $-120$, and two of the integers are $-6$ and $4$, find the third integer.
22. A person climbs 10 steps upward and then climbs 5 steps downward, repeating this process 3 times. What is their final position relative to the starting point?

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Answer Key: Worksheet 2

Section A: Fill in the Blanks

1. Negative
2. 0
3. Opposite
4. 5
5. Undefined (Division by zero is not allowed.)

Section B: Multiple Choice Questions (MCQs)

6. $($Answer: (b) $-21$

7. Answer: (b) Addition of integers is commutative. (Subtraction and division are not commutative.)

8. $\mathrm{<br>}$Answer: (c) $20$

9. Answer: (c) $0$

10. Answer: (a) $100$

Section C: Solve the Following

11. $-8$

12. $69$

13. $-80$

14. $-12$

15. $8$

Section D: Word Problems

16. Final altitude:$1800$ meters above sea level.

17. Total score:$70$ points.

18. Remaining debt:$3000$ ₹.

Section E: Match the Following

19. • (c)
    • (b)
    • (a)
    •  (d)

Section F: Higher-Order Thinking Skills (HOTS)

20. Answer: $-12$

21. Answer: 5

22. Answer: 15 steps upward