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E:\Working\Focus_Learning\Math_Genius-6_(07-11-2024)\Open_Files\17_Answers\Answers
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

B. 1. (a) 2. (c) 3. (a) 4. (b) 7. D B A C
C. 1. (d) 2. (a) 3. (e) 4. (b) 5. (c) –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9
D. Shapes No. of lines of Order of rotational 8. P = –46, Q = –40, R = –36, S = –30
symmetry symmetry 9. (a) < (b) < (c) < (d) >
1. Isosceles Triangle 1 1 10. (a) –39 < –33 < 0 < 10 < 33 (b) –31 < –21 < –17 < 8 < 15
2. Square 4 4 (c) –10 < –7 < –6 < 8 < 9
3. Kite 1 1 11. (a) 3 > 0 > –1 > –3 > –4 > –6 (b) 110 > 58 > 7 > –230 > –330
4. Equilateral Triangle 3 3 (c) 25 > 24 > –7 > –24 > –25
5. Rectangle 2 2 12. (a) – 24, – 25, –26, –27, –28 [Answers may vary]
6. Regular Hexagon 6 6 (b) –2, –1, 0, 1, 2 [Answers may vary]
7. Scalene Triangle 0 1 13. (a) 233 (b) –23 (c) 82

E. 1. H, I, O, X 2. Boy B is correct. 4. H, I, S 14. 20
5. (a) 2 (b) 1 (c) 5 15. 15°C
16. –10°C, –6°C, 0°C, 15°C, 38°C, 45°C, 70°C
6. (a) (b) ; 120°, 240°, 360° 17. P: +2800 m, Q: –1000 m, R: + 600 m, S: –2400 m, T: +2400 m, U: –400 m,
V: + 200 m
7. (a) 4 (b) 6 (c) 1 Quick Check
9. (a) 4 (b) 6 (c) 5 (d) 8 10. (a), (c) 1. Associative Property
12. (a) A, T (b) H, I, N (c) R, N, G 2. Commutative Property
(d) HAR GHAR TIRANGA 3. Additive Identity
4. Additive Inverse
Unit Test – 4
Practice Time 10B
A. 1. (c) 2. (c) 3. (b) 4. (c) 5. (d) 1.
6. (b) 7. (c) 8. (b) 9. (d) 10. (a) + –6 –4 –2 0 2 4 6
B. 1. 9 2. circle 3. 2 4. regular 5. line 6 0 2 4 6 8 10 12
C. 1. F 2. T 3. T 4. F 5. T 4 –2 0 2 4 6 8 10
D. 1. (a) TOWEL (b) NATIONAL 2 –4 –2 0 2 4 6 8
2. (a) 120°, 240°, 360° (b) 60°, 120°, 180°, 240°, 300° and 360°
0 –6 –4 –2 0 2 4 6
3. A, P, Q, L, G and J (Answer may vary)
–2 –8 –6 –4 –2 0 2 4
5. (a) 4 (b) 2 (c) 2 (d) 6 6. No
–4 –10 –8 –6 –4 –2 0 2
Chapter 10: The Other Side of Zero
–6 –12 –10 –8 –6 –4 –2 0
Let’s Recall
(a) 6, –6; 4, –4; 2, –2; 0, 0; –2, 2; –4, 4, –6, 6 (b) Yes
1. (a) 6746, 2023 (b) 1, 0 (c) below 2. (a) 14 (b) 5 (c) 23
2. (a) True (b) True 3. (a) 27 (b) 55 (c) 12
3. (a) 22 (b) 27 (c) 4 (d) 3 4. (a) –337 (b) –243 (c) –925
4. (a) below (b) loss (c) decrease (d) going down 5. (a) –1 (b) –39 (c) –44
(e) negative 6. (a) –2 (b) 0 (c) –5
Think and Answer 7. (a) left (b) right (c) left
8. (a) –17 (b) 357 (c) 0
1. Maximum marks: Vaishali, Minimum marks: Smita 9. (a) T (b) F (c) T (d) F
2. Smita
Life Skills
Practice Time 10A
Date Withdrawal Deposit Closing
1. –142, 254, –7, 0, 547 Amount (`) Amount (`) Balance (`)
2. (a) 50 m rise in water level (b) 9°C above 0°C
1.06.2024 89,000
(c) Increase in marks (d) 1899 BCE
3. (a) + 12 cm (b) – ₹700 (c) + 6 kg (d) – ₹5100 4.06.2024 8,000 97,000
10.06.2024 9,500 87,500
4. (a)
–8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 16.06.2024 2,000 89,500
(b) 21.06.2024 950 88,550
–8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
25.06.2024 1050 87,500
5. (a) F (b) T (c) T (d) T
29.06.2026 1,500 89,000
(e) F (f) T (g) F
6. 6 ₹ 89,000

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