Page 45 - Ranger SPM 2022 - Additional Mathematics
P. 45
Additional Mathematics SPM Answers
3
CHAPTER 3 Systems of Equations 9. 3
9
10.
5 5 – 3
11. log 10 25
Quiz on page 42 4
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
2x + y + z = 24 12. –2
14. x = 0.93
SPM PRACTICE 15. x = 2, x = 64
Paper 2 Paper 2
1. x = 1, y = 2, z = -1 1. x = 3, y = – 1
2. m = -3, n = 2, p = –5 2
2
1
3. x = 3.40, y = -0.267; x = 0.881, y = 1.41 2. (b) x = – , y =
6
3
4. 1 4 , 6 1 , (4, 14) 3. (b) x = 9, x = 81
2
5. Price of a piece of curry puff = RM0.70 (c) x = –2, x = 0
Price of a packet of nasi lemak = RM1.70 4. (a) 0.3679 (b) 0.1353
Price of a glass of orange juice = RM0.60 5. (a) 100 g (b) 155.2 g (c) 19 hours
6. Length = 54.4 m, width = 12.5 m
7. 18 and 51 6. x = 9 + 13 , x = –5 + 13
8. x = 8, y = 20 7. 3 + 2 34 6
2
1
9. A(-3, 5), B 7 3 , -3 8. 1 + 2
2
10. a = 30.5°, b = 5.5°, c = 133° 9. –6 + 5
2
11. x = 11.5 10. 4 – cm
3
17 , 4 1 3 + y
12. - 29 29 11. (a) x + 2y (b) x – 2 (c)
13. x = 24, y = 36 9 2 3 2
14. Mass of the block X = 8 kg 12. x = , y =
2
4
Mass of the block Y = 2 kg 1
13. (a) ln a = 3p, ln b = p (b)
15. (b) a = 48.2 and b = 51.2. Both average 3
speed, a and b did not exceed 60 km h , 14. (a) c 0, c ≠ 1 (b) q = 1
-1
thus, the owner of the car will not receive p 2
summons. 15. (a) I = 170. 170°C is the initial temperature.
(b) 4.159
CHAPTER 4 Indices, Surds and Logarithms CHAPTER Progressions
Quiz on page 54 5
x = 3.597 Quiz on page 66
5 050
SPM PRACTICE
SPM PRACTICE
Paper 1
1. x = 2 Paper 1
2. q = p 2 1. (a) 8, 20, 32, … (b) 12
16
5 6 2
3. 3 x y 2. (a) 168 (b) 39
4. y = 4 3. (a) k = h + 1 (b) 13h + 33
3
6. 11 4. (a) 3 (b) 103, 107, 111
5 5
7. – + 3 5. (a) 60 (b) –17
2 2
308
4 Jawapan Ranger Mate Tambahan.indd 308 25/02/2022 9:32 AM

