ANSWER KEY Class VI – Ganita Prakash QUESTION BANK (2025–2026) Subject: Mathematics Chapter 10: The Other Side of Zero (Integers)

 

Answer Key – Chapter 10: The Other Side of Zero (Integers)

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1. Multiple Choice Questions (20)

1. (b) –3 → integers are whole numbers + negatives.

2. (a) 7 → opposite of –7 is +7.

3. (b) –3 → lies between –4 and –2.

4. (a) –5 → closer to 0 is greater.

5. (a) –5 → 5 steps left = –5.

6. (a) –9 → –3 + –6.

7. (b) –3 → –7 + 4 = –3.

8. (c) 0 → 0 is its own opposite.

9. (b) –7 → 5 – 12.

10. (b) –3 > –4.

11. (b) 0 → neutral integer.

12. (a) –3 → –10 + 7.

13. (b) –5 → negative means loss.

14. (a) –12 → farthest left.

15. (c) 3 → –3 – (–6) = –3+6=3.

16. (a) –12 → opposite of 12.

17. (a) –8 → smaller is farther left.

18. (a) –20 → –15 + –5.

19. (a) 2 → –5 + 7.

20. (c) 0 → additive inverse property.

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2. Assertion–Reasoning (20)

1. (c) A true, R false.

2. (a) Both true, R explains A.

3. (a) Both true, R explains A.

4. (a) Both true, R explains A.

5. (a) Both true, R explains A.

6. (c) A false, R true.

7. (c) A true, R false.

8. (a) Both true, R explains A.

9. (a) Both true, R explains A.

10. (c) A true, R false.

11. (a) Both true, R explains A.

12. (b) Both true, R doesn’t explain A.

13. (a) Both true, R explains A.

14. (a) Both true, R explains A.

15. (a) Both true, R explains A.

16. (a) Both true, R explains A.

17. (a) Both true, R explains A.

18. (c) A true, R false.

19. (a) Both true, R explains A.

20. (a) Both true, R explains A.

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3. True or False (10)

1. False (–3 < –2).

2. True.

3. False (–10 < –15 is wrong; actually –10 > –15).

4. True.

5. False (–7+7=0).

6. False (right = increase).

7. True.

8. True.

9. False (no smallest integer).

10. True.

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4. Short Answer I (15)

1. Integers = {..., –3, –2, –1, 0, 1, 2...}.

2. Opposites: +8 → –8, –15 → 15, 0 → 0.

3. On number line: –5 left, +7 right of 0.

4. –7 > –12.

5. –6 + 10 = 4.

6. 7 – 15 = –8.

7. –10 – (–4) = –10 + 4 = –6.

8. –3 + –8 = –11.

9. Additive inverse of –25 = 25.

10. –4+6 = 2°C.

11. –800+200 = –600 m.

12. –100 > –150.

13. –8, –2, –1, 0, 5.

14. Examples: temperatures below 0, debts.

15. –20+15 = –5.

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5. Short Answer II (10)

1. –3, –1 left of 0; 2, 4 right.

2. –12+–8+15 = –20+15 = –5.

3. 25–(–10)=35.

4. –5–12=–17.

5. –20–10=–30, then –30+15=–15.

6. –10, –5, 0, 7, 12.

7. –8+–7=–15, –15–(–4)=–15+4=–11.

8. –15–(–5)=–10, then –10+–10=–20.

9. 10–15=–5.

10. Subtracting negative = adding positive. Eg: 3–(–2)=5.

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6. Long Answer (10)

1. (–3)+(–4)=–7 on number line.

2. 6–(–3)=9.

3. –500–300=–800, then –800+700=–100.

4. –8→6, rise = 14°C.

5. –2000+1500=–500 balance.

6. –10+–15=–25, +20=–5, –(–5)=+5, total=0.

7. –25–(–15)=–10, +–10=–20.

8. –20, –15, –5, 0, 8, 10.

9. Rules: same sign → add mags, keep sign; different → subtract mags, take bigger sign.

10. Eg: temperature –5°C, money debts.

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7. Case-Based (5 sets × 4 MCQs)

Case 1 (Temp)
1(c) Evening, 2(b) Night, 3(c) 9°C, 4(a) 7°C.

Case 2 (Bank)
1(a) –300, 2(b) –200, 3(b) –300, 4(c) Debt.

Case 3 (Lift)
1(a) –4, 2(b) 3, 3(a) –1, 4(a) –1.

Case 4 (Cricket)
1(b) 70, 2(a) –20, 3(a) 90, 4(c) Penalty.

Case 5 (Sea Level)
1(c) –500, 2(b) 100, 3(a) 100 above, 4(a) Addition.