Short Answer of Number [Edexcel MathB]

 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) \( \frac{1}{2 x} \)

9. (a) 0.0616 (b) 0.062

10. (a) \( 7.5 \times 10^{4} \)    (b) \( 7.5 \times 10^{-8} \)

11. (a) 318 (b) \( 3.18 \times 10^{2} \)

12. (a) \( 2.4 \times 10^{135} \) (b) 7.88 \( \times 10^{102} \)
        (c)1.5 \times 10^{-2}

13. (a) 0.063    (b) \( 6.3 \times 10^{-2} \)

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 g

19. (a) \( =3 \) (b) 6

20. (yen) 280


21. 255

22. \( \mu=\frac{\lambda}{1-\lambda} \)

23. \( 48: 1 \)

24. \( b=20 \)

25. \( 72,32 / 30: 19: 7 \)

26. Volumes in ratio \( =27: 64\)    Volume  of large sphere \( =32 \)

27. \( x: z=15: 28 \)

28. \( H C F=6 \)

29. 1260

30. \( H C F=14 \)

31. 2520

32. 4.05

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 kg
42. 9.42\%
43. \( £ 375 \)
44. \( r=4 \)
45. \( k=48 \)
(b) \( y=\frac{3}{4} \)
46. \( x=4 \)
47. \( k=\frac{3}{4}, x=6 \)
48. \( k=252, x= \pm 2 \)
49. \( k=2.5,160000 \)
50. (a) \( y=27 x^{3} \) (b) \( x=-\frac{7}{3} \)

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) \( 198 \mathrm{~cm}^{2} \). (b) \( 875 \mathrm{~cm}^{3} \)