Sunday, August 24, 2025
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)
1. Multiple Choice Questions (20)
-
(b) –3 → integers are whole numbers + negatives.
-
(a) 7 → opposite of –7 is +7.
-
(b) –3 → lies between –4 and –2.
-
(a) –5 → closer to 0 is greater.
-
(a) –5 → 5 steps left = –5.
-
(a) –9 → –3 + –6.
-
(b) –3 → –7 + 4 = –3.
-
(c) 0 → 0 is its own opposite.
-
(b) –7 → 5 – 12.
-
(b) –3 > –4.
-
(b) 0 → neutral integer.
-
(a) –3 → –10 + 7.
-
(b) –5 → negative means loss.
-
(a) –12 → farthest left.
-
(c) 3 → –3 – (–6) = –3+6=3.
-
(a) –12 → opposite of 12.
-
(a) –8 → smaller is farther left.
-
(a) –20 → –15 + –5.
-
(a) 2 → –5 + 7.
-
(c) 0 → additive inverse property.
2. Assertion–Reasoning (20)
-
(c) A true, R false.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(c) A false, R true.
-
(c) A true, R false.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(c) A true, R false.
-
(a) Both true, R explains A.
-
(b) Both true, R doesn’t explain A.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
-
(c) A true, R false.
-
(a) Both true, R explains A.
-
(a) Both true, R explains A.
3. True or False (10)
-
False (–3 < –2).
-
True.
-
False (–10 < –15 is wrong; actually –10 > –15).
-
True.
-
False (–7+7=0).
-
False (right = increase).
-
True.
-
True.
-
False (no smallest integer).
-
True.
4. Short Answer I (15)
-
Integers = {..., –3, –2, –1, 0, 1, 2...}.
-
Opposites: +8 → –8, –15 → 15, 0 → 0.
-
On number line: –5 left, +7 right of 0.
-
–7 > –12.
-
–6 + 10 = 4.
-
7 – 15 = –8.
-
–10 – (–4) = –10 + 4 = –6.
-
–3 + –8 = –11.
-
Additive inverse of –25 = 25.
-
–4+6 = 2°C.
-
–800+200 = –600 m.
-
–100 > –150.
-
–8, –2, –1, 0, 5.
-
Examples: temperatures below 0, debts.
-
–20+15 = –5.
5. Short Answer II (10)
-
–3, –1 left of 0; 2, 4 right.
-
–12+–8+15 = –20+15 = –5.
-
25–(–10)=35.
-
–5–12=–17.
-
–20–10=–30, then –30+15=–15.
-
–10, –5, 0, 7, 12.
-
–8+–7=–15, –15–(–4)=–15+4=–11.
-
–15–(–5)=–10, then –10+–10=–20.
-
10–15=–5.
-
Subtracting negative = adding positive. Eg: 3–(–2)=5.
6. Long Answer (10)
-
(–3)+(–4)=–7 on number line.
-
6–(–3)=9.
-
–500–300=–800, then –800+700=–100.
-
–8→6, rise = 14°C.
-
–2000+1500=–500 balance.
-
–10+–15=–25, +20=–5, –(–5)=+5, total=0.
-
–25–(–15)=–10, +–10=–20.
-
–20, –15, –5, 0, 8, 10.
-
Rules: same sign → add mags, keep sign; different → subtract mags, take bigger sign.
-
Eg: temperature –5°C, money debts.
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.