Page 314 - Math_Genius_V1.0_C6_Flipbook

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

8. 2 16 13 3 2 16 13 3 Practice Time 3C
1. 2345 2354 2435 2453 2534 2543
11 5 8 10 11 5 8 10
3254 3245 3452 3425 3524 3542
7 9 12 6 7 9 12 6
4325 4352 4235 4253 4523 4532
14 4 1 15 14 4 1 15
5324 5342 5234 5243 5432 5423
Supercell Subcell
Subcell: 2345 (Red); Supercell: 5342, 5432 (Blue)
2. 4774
9. 11 24 7 20 3 11 24 7 20 3 3. 2 step palindromes: 19 and 91
3 step palindromes: 95 and 59
4 12 25 8 16 4 12 25 8 16
4 step palindromes: 96 and 69 [Answers may vary]

17 5 13 21 9 17 5 13 21 9 4. 12/02/2021, 22/02/2022, 13/03/3031, 23/03/3032, 14/04/4041,
24/04/4042, 15/05/5051 , 25/05/5052 , 16/06/6061 , 26/06/6062
10 18 1 14 22 10 18 1 14 22 [Answer may vary]
5. One step 6. 69, 78, 79 [Answer may vary]
23 6 19 2 15 23 6 19 2 15
7. 676, 10201, 12321, 14641, 44944 8. 110
Supercell Subcell 9. 1 1 1 1 1 1 × 1 1 1 1 1 1 = 12345654321
1 1 1 1 1 1 1 × 1 1 1 1 1 1 1 = 1234567654321
1 1 1 1 1 1 1 1 × 1 1 1 1 1 1 1 1 = 123456787654321
10. Yes
1 1 1 1 1 1 1 1 1 × 1 1 1 1 1 1 1 1 1 = 12345678987654321
10. 99 and 101 11. 1001
12. 131 and 212 13. 57375 14. 90909 15. 232
16. Sum = 110000; Difference = 89998
17. 31/01/1013; 21/02/2012; 11/02/2011; 01/02/2010, etc.
18. 1:11; 2:22; 11:11; 4:44, etc.
19. 121 × 11 = 1331; 33 × 11 = 363; No; It fails for 44 × 55 = 2420
Practice Time 3D
1. (a) 156 (b) 157
3. 12 takes the minimum steps, and 19 takes the maximum steps.
4. (a) 3 Rounds (b) 5 Rounds (c) 3 Rounds (d) 3 Rounds
5. 4 steps
11. 6. Pattern Number 1 2 3 4 ... 10

Number of Matchsticks 7 7+5 7+2×5 7+3×5 7+9×5
7. 1221
Practice Time 3E
1. (a) Possible (b) Possible (c) Possible (d) Possible
(e) Possible
Quick Check 2. (a) 1400 + 200 + 200 + 200 i.e., 1400 + 200 × 3
1. 1245, 1236, 3333, 7050, etc. 2. 10,029 3. 9,30,000 (b) 1400 + 1400 + 1400 + 200 + 200 + 200 i.e., 1400 × 3 + 200 × 3
Practice Time 3B (c) 25,000 × 3 or 40,000 + 25,000 + 7000 + 500 × 6
1. (a) 20 times (b) 200 (d) 25,000 + 1400 × 3 + 200 × 3 + 7000
2. (a) 69, 78, 87, 96 (b) 159, 168, 258, 348, 555 3. (e) 40,000 + 7,000 + 500 × 3 + 1400 × 2 + 200
(b) 8,000 + 1500 × 2 – 700 × 2
(a) 8000 + 1500 × 2 + 700 + 300
(c) 1086, 1239, 2436 (d) 12345, 22245, 13335, 22335 (c) 8000 – 1500 – 1500 i.e., 8000 – 1500 × 2
(e) 100059 (d) 50,000 + 8000 + 1500 + 700 + 300 + 8000
3. (a) 232 (sum 7), 252 (sum 9) (Answer may vary) or 50,000 + 21,000 – 1500 – 700 – 300
(b) 111 (sum 3); 222 (sum 6); 333 (sum 9), ... 999 (sum 27) (e) 50,000 + 21000 × 2 + 1500 – 700 – 300
(c) 123 (sum 6); 234 (sum 9); 345 (sum 12); 456 (sum 15); 567 (sum 18); 5. (a) No, 99,999 + 99,999 = 1,99,998 = 6 digit number
678 (sum 21); 789 (sum 24) (b) Yes (c) Yes (d) No, 1,00,000 – 9999 = 90001
(d) 404 (sum 8); 515 (sum 11); 626 (sum 14) [Answer may vary] Practice Time 3F
4. 95,000
5. 4, 5, 6, ..., 12, 4, 5, 6, ..., 13, 5, 6, 7, ..., 14, 6, 7, 8, ..., 15, 7, 8, 9, ..., 16 1. (a) 900 (b) 1240 (c) 87650
2.
(a) 900
(b) 2300
(c) 45700
Quick Check 3. (a) 57000 (b) 21000 (c) 30000
1. Largest 4-digit number = 9521; smallest 4-digit number = 1259 4. Number Estimated value Estimated value in Estimated value
Sum = 10780; Difference = 8262; No in 10’s 100’s of 1000
2. 36,200 39,344 20,765 2345 2350 2300 2000
6458 6460 6500 6000
63,609 28,675 54,306
6174 6170 6200 6000
49,381 50,319 37,084
10. 1400 km
Mathematics-6 312