Page 18 - PRAKTIS HEBAT ADDMATHS TG4

Additional Mathematics Form 4 Answers
2. (a) 3m n (b) a b 40. (a) log — (b) log 3
–2 –1
–2 6
5
2 1 2
2
3. (a) n = — (b) n = –1 3 1
3 41. (a) 3 (b) – —
2
2
4. x = — 42. x = 4.344
3
6
36
2x
x
5. RHS = —–– = —– = 6 2x – 3 = LHS [shown] 43. x = 1.4305 × 10 -6
216 6 3 44. —––—
2n + 1
p
p
p
p
6. 3 + 3 p + 1 + 3 p + 2 = 3 + (3 )(3) + (3 )(9) 3m
2h + 3k
= 13(3 ) [shown] 45. —–––—
p
7. x = –1 6
8. m = 32, n = 16 46. m = 2.714
1
6 + b
5
9. a = —––– 47. x = —, x = 25
b 48. x = 8
3k – 7
10. h = —–––– 49. p = 3
2 50. n = 4
11. n = m + 1 51. 9
1
12. m = —, n = 5 52. n = 0.4838, n = –0.3260
3 53. x = 1
132
5
13. (a) — (b) 8 —– 54. x = 1.392
1
11 999 55. p = 81, p = —–
14. (a) Surd (b) Surd 56. x = 9 81
(c) Not a surd/ Bukan surd 57. LHS = log (x y ) = 4 log x + 2 log y
4 2
2
2
2
15. (a) Surd. Its value is a non-recurring decimal. = 4a + 2(2b) = 4(a + b) = RHS [shown]
Surd. Nilainya ialah perpuluhan tidak berulang. 58. (a) 3r + s (b) s – 4r
(b) Not a surd. Its value is an integer. 59. x = 4
Bukan surd. Nilainya ialah integer. 60. x = 11.1196
p + 2q
9
9
16. No/ Tidak. AB ≠ 2AB 61. (a) q – p (b) —––––
17. (a) AB (b) AB 62. x = 0.9076 q
6
42
log x
1
2 log y
21
(c) AB 63. ab = (log y )(log x) = — ——– — —– 2 = 2 [shown]
273
2
7
11
18. (a) AB (b) AB 4p + 2 x y log x log y
19. (a) bAB (b) AB 64. — ——–
5
30
q
2
3
2
20. (a) 5AB (b) 10AB 65. (a) 2y (b) 3 + —
y
21. (a) 4AB (b) 3AB2 66. p = 2 – — 5
2
AB 2 67. (a) c . 0, c ≠ 1 (b) y = x 4
7
22. (a) AB (b) —
6 68. after 9 years/ selepas 9 tahun
AB 3AB5 + 5 69. (7.17, 18)
6
23. (a) — (b) — ––– 70. a = 3.77, n = 2.15
15
6
24. (a) 9AB (b) 24AB 71. A = 12 000, k = 0.05
2
3
200
25. (a) —–– (b) 10 PAPER 2 y
3 1. (a) rs (b) 1 + x – —
3
26. (a) AB2 – 10 (b) 10AB15 – 11 2
(c) 24 + 16AB 2. (a) x = –1 is a negative number, therefore no
2
solution. / x = –1 ialah nombor negatif, maka
4(4 + AB)
3
27. (a) AB5 – AB (b) —––––-–– tiada penyelesaian.
2
13
(b) x = 5
10
34 + 3AB 7 – 2AB 3. (a) 4 years 7 months/ 4 tahun 7 bulan
35
28. (a) —––––––– (b) —–––––––
29 3 (b) x = 2 (c) 7
4. (a) log 4 + 2 log 7 – log 5
9
29. (a) log 243 = 5 (b) log 64 = 6 3 3 log 5
2
3
3
4
30. (a) 2 = 16 (b) 4 = 64 = log 4 + log 7 – — —— 2
2
3
log 3
3
3
31. (a) 0.9031 (b) –2.6021 3
5
2
(c) –0.3522 = log (4 × 7 ) – log AB
3
3
32. (a) 3 (b) 4 = log —— [shown]
196
33. (a) 1.7207 (b) 0.2389 3 AB
5
34. (a) x = 36 (b) x = 2 187 (b) x = 16
35. (a) 19 (b) 0.5 5. 7(3 n + 4 ) ; n = –2, n = 3
36. (a) x = 0.6021 (b) x = 1.2091 6. (a) 6AB2 + 5AB 3
37. (a) 0 (b) 1.0438 q
—
38. (a) x = 34 (b) x = 12 (b) 2 = 5 ⇒ 2 = 5 …… a
p
q
p
39. (a) x = 136.1429 (b) x = 0.5584 5 = 50 ⇒ 5 = 2 × 5 …… b
q
r
q
2r
r
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