Page 32 - FOCUS KSSM TG 4 MATEMATIK TAMBAHAN

Matematik Tambahan Tingkatan 4 Jawapan

(c) x = 0.783, y = 1.825; x = 5.105, y = – 4.658 5. (a) 6 (b) 3 2 – 17p (c) 5 3 – x (d) 7 3m – 1
(d) x = –1.243, –3.748; x = 7.243, y = –0.919 6. (a) 215(6 ) (b) 9(2 )
n
n
2. (a) x = 2, y = 4; x = 5, y = 1 (c) 101(5 n – 2 ) (d) –16 463(7 n – 3 )
1
7
(b) x = –3, y = –7; x = – —, y = — 9. RM 21 719
6 3
(c) x = –3.140, y = 2.070; x = 2.740, y = –0.870 Cuba ini! 4.2
(d) x = 0.314, y = –2.457; x = 3.186, y = –0.543 2 5 23 41
1. (a) — (b) —– (c) 3—– (d) ——
3. (a) x = 3, y = –1; x = – 4, y = –8 9 11 33 333
218
41
353
66
1
(b) x = 0.5, y = 4; x = –2, y = –1 (e) 4—— (f) 1 —— 2 (g) 1 2—— 2 (h) —— 2
(c) x = –6, y = 5; x = 4, y = 0 333 495 330 185
(d) x = 0, y = 2; x = 2, y = 5 2. (a)  (b)  (c)  (d) 
30
42
33
95
4. x = 15, y = 13 3. (a)  3 (b)  6 (c)  2 (d) 
15
5. 1 920 m 3 4. (a) 2  (b) 3  5 (c) 10  3 (d) 21  5
15
6. Bilangan baris = 10, bilangan lajur = 3 9  7
(e) 2  3 (f)
2
Praktis SPM 3 5. (a) 15  2 (b) 7  3 (c) 9  2 (d) 4  5
Kertas 1 (e) 3  (f) 5  6
10
15
1. x = –1, y = 4, z = 8 6. (a) 6  5 (b) 2  (c) 7  5 (d) 11  2
1
2. x = —, y = 1, z = 3
5 7. (a) 24  7 (b) 16  2 (c) 5  5 (d) 6  3
7
3. x = 3, y = –2 atau x = 6, y = –5 4  5  3 5
4. x = 0.22, –1.35 atau x = 1.38, y = 2.15 (e) 3 (f) 3
5. Wang saku harian Segaran = RM9; 24 – 6  2 14 + 2  5
Wang saku harian Muslimah = RM12 8. (a) 7 (b) 11
6. x = 7 dan y = 5 6 + 9  2 30 – 5  7
(c) (d)
7 29
13
15
Kertas 2 (e) –2 +  (f) 2 + 2 
3 3 7
1. e = –7, f = – 2, g = —
2 9. (a)  6 –  2 (b) 12  2 – 6  3
2
2. u = 12, v = —, w = – 4 5
5 2 
(c) 8  5 – 4  6 (d) 66 + 4  3
3. x = 5, y = –3 atau x = 11, y = –7 7 9
21 + 15  5
15
4. x = –0.073, y = 0.382 atau x = –3.427, y = 2.618 (e) 15 – 3  (f) 5 
17 5 2 8
5. x = 1, y = –3 atau x = —–, y = – —
9 3 27 + 10  2
12 9
6. A —–,—2 , B(4, –1) 10. (a) 23 (b) 7 – 4  3
1
5
5
21
(c) 13 – 4  3 (d) 19 + 4 
7. (a) h = – 4, k = 3 11 5
(b) (–10, 4) 21 – 4  5 3 +  5
(e) (f)
8. 10 cm, 24 cm, 26 cm 19 2
9. 0.6 m 11. 31 5 –  3 2
10. 15 buah kerusi di setiap baris; 12. –16  5
12 buah kerusi di setiap lajur
13. 2816  7
11. Durian = RM10 per kg, manggis = RM6 per kg,
pisang = RM3 per kg Cuba ini! 4.3
12. Air suling = 200 ml, asid = 50 ml, alkohol = 150 ml 1. (a) log 36 = 2 (b) log 40 = m
3
6
13. 50 buah rumah kos sederhana, 120 buah rumah teres, (c) log 125 = (d) log 6 = – 4
2
30 buah rumah banglo n 5 k 11
5
(e) log = m (f) log 38 = 0.25x
1 4 5
Bab 3
4 Indeks, Surd dan Logaritma 2. (a) 10 = 1 000 (b) 8 = 0.45
q
3
7
(c) x = 46 (d) m =
–3
3
18
1
Cuba ini! 4.1 (e) 25 = 5 (f) 6 = 35
2
m
1. (a) n –9 (b) p 25 (c) k 11 (d) x –15 3. (a) x = 5 , 25 (b) 1 = 7 , 343
–3
2
– 23 x
–2
4 –3
8 5
2. (a) m n (b) q –10 (c) k h 2 (d) x y –3 1 2 16
p 12 9x 4 1 512 (c) x = 3 , (d) 3x = 4 ,
3. (a) (b) (c) (d) 27 3
3q 5 8y 7 2n 6 r s 1 –3 1 6 5 3
3 7
4. (a) 3 2n – 5 (b) 5 (c) 4 4m – 23 (d) 2 18p – 26 (e) 4 x = 6 , 54 (f) x = 2 , 16
–6
235