Short Answers of Number (2014-2016)
1. (a) $a, d$ (b) $e$
2. (a) 0.0177 (b) 0.018
3. $\frac{125}{164}$
4. (a) 200000000 (b) $2 \times 10^8$
5. (a) 1160 (b) $1.16 \times 10^3$ (c) 1200
6. (a) 81 (b) $1.23 \ldots \times 10^{-2}$
7. $\frac{20}{9}$
8. (a) $(2 x)^2$ (b) $\frac{1}{2x}$
9. (a) 0.0616 (b) 0.062
10. (a) $7.5 \times 10^4$ (b) $7.5 \times 10^{-8}$
11. (a) 318 (b) $3.8 \times 10^2$
12. (a) $2.4 \times 10^{135}$ (b) $7.88 \times 10^{102}$ (c) $1.5 \times 10^{-2}$
13. (a) $0.063(1) 6.3 \times 10^{-2}$
14. (a) 0.042 (b) 0.0417
15. $\frac{5}{8}$
16. $\frac{\pi}{5}, \sqrt[3]{9}$
17. (a) smallest =0.5 , largest =4 (b) 1.525
18. $168 \mathrm{~g}$
19. (a) =3 (b) 6
20. $(yen ) 280$
21. 255
22. $\mu=\frac{\lambda}{1-\lambda}$
23. $48: 1$
24. $b=20$
25. $72,32 / 30: 19: 7$
25. Volumes in ratio $=27: 64 \mathrm{Vol}$ of large sphere =32
27. $x: z-=5: 28$
28. $H C F=6$
29. 1260
30. $H C F=14$
31. 2520
32. 4.05
33. $17.28 / 17.29$
33. $17.28 / 17.29$
34. $£ 220$
35. $£ 250$
36. $25 \%$
37. $£ 12.64$
38. $0.9(\%)$
39. 7 million
40. $37.5(\%)$
41. $2 \mathrm{~kg}$
42. $9.42 \%$
43. $£ 375$
44. $r=4$
45.(a) $k=48$ (b) $y= \frac 34$
46. $x=4$
47. $k=\frac{3}{4}, x=6$
48. $k=252, x= \pm 2$
49. $k=2.5,160000$
50.(a) $y=27x^3$ (b) $x=- \frac 73$
51. $195.3125, x=1.25$
52. $x=6.00$
53. $x=-4$
54. (i) $81,-243$ (ii) Multiply by -3
55. $-1,2,5$
56.(a) $198 cm^2$ (b) $875 cm^3$
57. (a) $1: 520000$ (b) $25 \mathrm{~cm}^2$
58. (a) 15 (b) 100
59. difference $= \pm 2$
60. (a) 2 (b) $4($ or -4$)$
61. (a) $2,4,8,16$ (b) $\frac{2^{500}}{2^{488}}$ (c) $8^4$
62. 28 (or -28 )
63. (a) $10 \sqrt{15}$ (b) $a=2, b=5$
64. (a)(i) $4 \sqrt{2}$ (ii) $6 \sqrt{2}$ (b) $c=39, d=6$
65. $4 \sqrt{5}$
66. 4
67. $-105,10 \sqrt{3}$
68. $\sqrt 54- \sqrt 2$
69. $7 / 5$
70.(a)(i) $9 \sqrt{24}$ (ii) $4 \sqrt{24}$ (b) 5
71. $4 \sqrt{52}$
72. $9.11,89 \mathrm{p}$
73. $E 12080.00$
74. (a) $54 \min$ (b) $113.4 \mathrm{~km}$
75. (a) 360000 Litres (b) 60 hours (c) 750 $\mathrm{~litres} \times \mathrm{~min}$
76. 147
77. (a) 31.5 litres (b) 35 litres
78. (a) 15165 (b) 24744 (c) 32992
79. $12.2 \mathrm{~km}$
80. (a) $£ 0.40$ (b) $£ 0.37$
81. $£ 774,£ 414,115 \%$
82. (a) $\frac{400}{x}$ (b) $\frac{400}{x-60}$ (c) $\frac{1}{3}$ (d) $\frac{400}{x-60}-\frac{400}{x}=\frac{1}{3}$ (e) $ x=300$ (f) $ \$ 306$
83.(a) 17520 sales (b) 14600 sales (c) x=18
84. $21702.9 \ldots$
85. 248 (cars)
86. (a) 450 (b) 281.25
87. $9: 44(\mathrm{pm})$
88. 0.15
89. $5.70(\mathrm{~m} / \mathrm{s})$ :
90. (a) 1500000 (b) 2 hours
91. (a) $4800(£)$ (b) $73 \mathrm{p}$
92. 16
93. (a) $6 \mathrm{pm}$ (b) $7 \mathrm{pm}$ (previous day) (c) 11 hours $17 \mathrm{~min}$
94. (a) $1019(\mathrm{~km} / \mathrm{h})$ (b) 270 (knots)
95. $\pm \frac{18}{88}$
96. (a) $\frac{x}{x+4} \times 60$ apples (b) $\frac{3}{x+4} \times 60$ apples (c) $x=6$
97. (a) 240 (b) Cars $=288$, Larries $=72$ (c) 4%
0 Comments