Actual SPM Examination Year 2014 Lembaga Peperiksaan, KPM, Putrajaya. Matematik Tambahan K2 (Additional Mathematics Paper 2 SPM year 2014. Board of Examination, MOE Malaysia)
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Q14. A company wants to buy two types of tables, A and B for its canteen. The price of a type A table is RM200 and a type B table is RMl00. The area of a table top of type A is 1 m2 and type B is 2 m2. The company buys x tables of type A and y tables of type B. The purchase of the table is based on the following constraints: The total area of the tables is not less than 30 m2; The amount of money allocated is RM6000; The number of type B table is at most two times the number of type A table.
Q15. Table 15 shows the price indices and the weightages of four ingredients used in the making of a cake. The composite index for the cost of making the cake in the year 2014 based on the year 2012 is 106. Calculate the price of ingredient Q in the year 2014 if its price in the year 2012 is RM20. Find the percentage of price change from the year 2012 to the year 2014 for ingredient S.
The composite index for the cost of making the cake increased by 10% from the year 2014 to the year 2015, calculate i. the composite index for the expenses in the year 2015 based on the year 2012, ii. the price of the cake in the year 2015 if its corresponding price in the year 2012 is RM75
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| Answer for Paper 2 1 x = 0.813 y = 0.626 x = -0.527 y = -2.054 2 (b) Number of solutions = 3 3 (a) (i) (x – 2)/3 (ii) g(x) = 4x – 3 (b) x = 2 4 (a) (p^3 + q^3)/p^2 (b) 1 + x – (1/2)y 5 (a) (i) 18b – 6a (ii) 6a + 9b (b) k = 1/3 6 (a) 1/30 (b) 6000π cm^3 7 (a) (i) p = 0.6 (ii) 0.3154 (b) (i) p = 0.3026 (ii) m = 51.91 8 (a) y = -6x + 8 (b) 7/15 unit^2 9 (c) (i) y = 3.802 (ii) h = 5.012 (iii) k = 1.151 10 (a) (i) 5y = -2x – 9 (ii) P = (3, -3) (b) x^2 + y^2 – 10x – 4y + 4 = 0 11 (a) 1.047 rad (b) 7.256 cm (c) 8.71 cm^2 12 (a) p = 1 , q = -4 (b) 0 < t < 4 (c) 5/3 m 13 (a) (i) 10.18 cm (ii) 12.38 cm (iii) 20.88 cm^2 (b) (ii) 11° 14 (a) x + 2y ≥ 30 , 2x + y ≤ 60 , y ≤ 2x (c) (i) 10 ≤ number of type A tables ≤ 25 (ii) 300 15 (a) RM19 (b) price change = 10% (c) (i) 116.6 (ii) RM87.45 |
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