SPM Examination Year 2014 Lembaga Peperiksaan, KPM, Putrajaya. Matematik Tambahan K1 (Additional Mathematics Paper 1 SPM year 2014. Board of Examination, MOE Malaysia)
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Q10. Adam has just completed his diploma in engineering field. He was offered a job from two different companies. Syarikat Satria offered him an initial salary of RM36 000 per annum with 5% yearly increment from the basic salary. Syarikat Perdana offered an initial salary of RM30000 per annum with 9% yearly increment from the basic salary. Adam decided to choose the company which offered higher income and save 20% of his salary for further study after working for 10 years. Which company should Adam choose and how much his total saving for his studies?
Q17. Due to the high living cost, Siva has planted several types of vegetables for his own consumption on a rectangular shape empty plot of land behind his house. He plans to fence the land which has a dimension of 6x m and (4 – x) m. Find the length, in m, the fence he has to buy when the area of the land is maximum.
Q23. A group of 5 students are to be chosen from 9 boys and 7 girls to form a school debate team. Find the number of different ways to form the team which consists of (a) girls only, (b) at least 4 boys.
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| Answer for Paper 1 1 (a) {(-2, 4), (1, 1), (2, 4)} (b) Domain= {-2, 1, 2} 2 m = -2 3 use b^2 – 4ac < 0, a < 4/5 4 (a) Minimum point= (3, -25) (b) x = 3 (c) -2 < x < 8 5 (a) m = -(3/2) (b) m = 86 6 4x^3y^5 7 (a) k = 3 (b) -(1/2) 8 (a) a = 5 (b) r = 3 9 (a) arithmetic progression (b) p = 42° (c) 360° 10 Syarikat Perdana Total saving = RM91,158 11 (a) y = -2x^2 + 4 (b) (i) m = -2 (ii) P = (0, 4) 12 (a) y-intercept = 7 (b) B = (9, 8) 13 k = -5 14 x = 90°, 210°, 270°, 330° 15 (a) -4a (b) 8a -7b 16 (a) 5 units (b) k = -3 17 28 meter 18 (a) 2t (b) 7x – 21 19 (a) -8 (b) 6 20 14.15 m^2 21 (a) x = 3 (b) 7 22 (a) 30 (b) 10.57 23 (a) 21 (b) 1008 24 (a) 4/5 (b) 13/20 25 (a) (i) 0 (ii) 1 (b) 0.3413 |
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