Page 287 - ICSE Math 6
P. 287
Chapter 6 5. (a) 7.5 (b) 0.011 (c) 0.001 (d) 1.99 (e) 6.423
Exercise 6.1 6. (a) 0.4 (b) 0.48 (c) 3.96 (d) 12.1 (e) 5.875
1. (a) 59.28 (b) 0.907 (c) 703.501 (d) 430.705 7. (a) (b) 111 (c) 1057 (d) 633
3
2. (a) Unlike (b) Unlike (c) Unlike (d) Equivalent 5 50 125 5
(e) Like (f) Equivalent 8. (a) 123.247 (b) 132.54 (c) 91.673 (d) 42.1
3. 9. (a) 17.31 (b) –1 (c) 4.21 (d) –5.335 (e) 179
–3 –2.7 –2 –1.3 –1 0 0.6 1 (f) –4.248
4. (a) Lies between 0 and 1; 1 10. 12.62 11. 6.032 12. 0.59 m; 59 cm
(b) Lies between 0 and –1; –1
(c) Lies between 10 and 11; 10 13. ` 425.75 14. 10.7°C 15. ` 1,021.49; ` 178.51
(d) Lies between –6 and –5; Equidistant from –5 and –6 16. 22.566 km
5. (a) < (b) > (c) = (d) < Think Smart
6. (a) 2.109 < 33.51 < 34.05 < 100.9 2 (2 × 2) 4
(b) 555.10 > 555.01 > 55.55 > 55.5 1. (ii) 2. Yes; As = (5 × 2) = 10
5
7. Smallest: 0.291; Greatest: 29.1 3. (i) Zero point one seven (ii) 0.49
8. (a) 0.9 (b) 0.29 (c) 0.007 (d) 0.051 (e) 1.11 Chapter 7
(f) 9.7 (g) 11.021 (h) 12.009 Exercise 7.1
9. (a) 1.4 (b) 8.5 (c) 4.85 (d) 2.64 (e) 0.888 1. (a) Yes (b) No (c) Yes (d) No (e) No
(f) 30.008 (g) 10.1 (h) 7.625
4 11 2303 1313 261 2. (a) False (b) False (c) True (d) False
10. (a) (b) 50 (c) 250 (d) 100 (e) 125 3. (a) ∉ (b) ∈ (c) ∈ (d) ∉
5
503 9451 15689
(f) (g) (h) 4. (a) X = {6, 12, 18, 24, 30}
50 500 125
(b) A = {4, 8, 12, 16, 20, 24}
Exercise 6.2 (c) P = {17, 19, 23, 29}
1. (a) 2.181 (b) 29.954 (c) 7.845 (d) 357.092 (d) B = {I, N, F, T, E}
2. (a) 34 (b) 8.933 (c) 98.9 (d) 2.885 5. (a) A = {x | –6 < x < –1} or
3. 98.41 4. 167.241 A = {x | x is an integer between –7 and 0}
5. (a) 4.899 (b) 3.452 (c) 48.36 (d) 16.74 (b) B = {x | x is one of the first six multiples of 7}
(e) –6.39 (f) –0.43 (c) X = {x | x is a prime number less than 8}
6. ` 6.35 7. 31.79 cm (d) Y = {x | x is a day starting with letter S}
8. 14.4 kg 6. (a) ∈ (b) ∉ (c) ∉ (d) ∈
Mental Maths Exercise 7.2
1. (a) > (b) < (c) = (d) < (e) > (f) = 1. (a) Infinite (b) Finite (c) Infinite (d) Empty
2. (a) Unlike (b) Like (c) Like (d) Equivalent (e) Empty (f) Empty
(e) Unlike (f) Equivalent 2. (a) A = {0, 1, 2, 3, 4, 5}; n(A) = 6
3. (a) 19.21 (b) 3.08 (c) 2.25 (d) 5.08 (e) 65.005 (b) Y = {C, A, R, D, I, N, L}; n(Y) = 7
(f) 16.025 (c) A = {6}; n(A) = 1
Practice Time (d) B = {–3, –2, –1, 0, 1, 2, 3}; n(B) = 7
1. (a) 95.205 (b) 0.507 (c) 502.679 (d) 400.089 3. (a) 1 (b) 8 (c) Not defined (d) 6 (e) 1 (f) 4 (g) 0
2. (a) 0.66 < 6.66 < 66.6 < 666
(b) 1.23 < 1.32 < 2.13 < 2.31 < 12.3 Mental Maths
(c) 90.99 < 91.567 < 91.657 < 91.675 < 909.9 1. (a) Yes (b) No (c) No (d) Yes
(d) 4.55 < 4.56 < 4.65 < 4.66 2. (a) ∉ (b) ∈ (c) ∉ (d) ∈
3. (a) 201.4 > 21.4 > 21.04 > 20.14 > 2.104 3. (a) False (b) True (c) False (d) True (e) False
(b) 125.67 > 12.765 > 12.657 > 12.567 4. (a) X = {O, A} (b) X = {25} (c) X = {2}
(c) 515.76 > 515.67 > 51.765 > 51.675 > 51.576 (d) X = {8, 16, 24, 32, 40, 48}
(d) 13.653 > 13.536 > 13.356 > 1.356 5. (a) Infinite (b) Infinite (c) Finite (d) Infinite
4. Greatest: 270.1; Smallest: 0.271 (e) Finite (f) Infinite
271