Page 217 - Start Up Mathematics_4

Exercise 6.6 (e) 54
1. 90 km 2. 116 3. 3,114 bottles 4. 508
5. 27 lawns 6. 13 rows 7. ` 18,095 2 × 27
8. 76 rows 9. 14
10. Students to do on their own. 3 × 9
Exercise 6.7
1. 64 2. 30 m 3. ` 180 4. 14,000 5. ` 18,724 3 × 3
6. ` 5,000 Note: Answers can vary.
Exercise 6.8 3. (a) 4 (b) 3 (c) 2 (d) 3 (e) 5 (f) 4
1. (a) 31,166 (b) 1,195 (c) 460 (d) 21
2. ` 2,000 3. ` 5,000 4. 7 groups 4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Let’s Evaluate 5. (a) F (b) T (c) T
1. (a) Q = 89, R = 0 (b) Q = 878, R = 6 6. (a) 108 = 2 × 2 × 3 × 3 × 3 (b) 124 = 2 × 2 × 31
(c) Q = 28, R = 11 (d) Q = 64, R = 9 (c) 100 = 2 × 2 × 5 × 5 (d) 275 = 5 × 5 × 11
(e) Q = 353, R = 7 (f) Q = 219, R = 26 (e) 240 = 2 × 2 × 2 × 2 × 3 × 5
(g) Q = 106, R = 15 (h) Q = 207, R = 30 Exercise 7.2
(i) Q = 23, R = 100 1. (a) 7, 14, 21, 28 (b) 45 (c) 55
2. (a) < (b) < (c) < (d) > (d) 3, 6, 9, 12, 15
3. (a) 42 (b) 63 (c) 0 (d) 32 (e) 1 (f) 97 2. (a) 14, 18, 22 (b) 20, 26, 28
4. 105 boxes 5. 909 6. ` 4,500 (c) 46, 56, 111 (d) 26, 94, 121
7. (a) 630 (b) 428 3. (a) Yes, because 90 ÷ 5 = 18, remainder = 0
8. Ananya spent more. ` 2,539 is total money left. (b) No, because 124 ÷ 3 = 41, remainder = 1 ≠ 0
Values and Life Skills (c) Yes, because 152 ÷ 8 = 19, remainder = 0
1. 4 days 2. ` 8 4. (a) 40, 45, 50, 55
3. Ajay—525 stickers Sister—175 stickers (b) 64, 72, 80, 88
Scratch Your Brain (c) 77, 88, 99, 110
1. 60 hours 2. 15 days 3. 3 weeks (d) 120, 130, 140, 150,
4. (a) 4 ÷ 2 = 2 40 ÷ 2 = 20 (e) 65, 78, 91, 104
(b) 900 ÷ 3 = 300 9,000 ÷ 3 = 3,000 5. (a) 35, 70 (b) 8, 16 (c) 18, 36
Chapter 7: Factors and Multiples Exercise 7.3
Exercise 7.1 1. (a), (b), (e) and (f) 2. (b), (c), (e) and (f)
1. (a) 1, 2, 4, 7, 14 and 28 (b) 1, 2, 5, 10, 25 and 50 3. (a), (b), (e) and (f) 4. (a), (c) and (d)
(c) 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 Let’s Evaluate
(d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90 1. (a) 12, 24, 36 (b) 24, 48, 72 (c) 60, 120, 180
(e) 1, 2, 3, 4, 6, 9, 12, 18 and 36 2. (a) 9, 18, 27, 36, 45, 54 (b) 11, 22, 33, 44, 55, 66
2. (a) 18 (b) 32 (c) 12, 24, 36, 48, 60, 72 (d) 15, 30, 45, 60, 75, 90
3. (a) 18, 22, 26, 30, 34, 38, 42
2 × 9 4 × 8 (b) 15, 20, 25, 30, 35, 40, 45
4. (a) Factors of 6 = 1, 2, 3 and 6
3 × 3 2 × 2 2 × 4 Factors of 10 = 1, 2, 5 and 10
Common factors = 1 and 2
2 × 2
(b) Factors of 15 = 1, 3, 5 and 15
(c) 96 (d) 40 Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36
Common factors = 1 and 3
2 × 48 4 × 10 5. No
6 × 8 2 × 2 2 × 5 6. (a) 84, 96, 320, 306, 400 (b) 84, 96, 306, 825
(c) 215, 320, 400, 825
(d) 320, 400

2 × 3 2 × 4 7. 11, 13, 17, 19, 23, 29
8. (a) 90 = 2 × 3 × 3 × 5 (b) 117 = 3 × 3 × 13
2 × 2 9. 4, 8, 12, 16, 20 10. 11, 33, 55, 77, 99

209