2017 SNGS Sec 4 EM Prelim P1 Solutions

3 CHIJ SNGS Preliminary Examinations 2017 - Mathematics 4048/01 [Turn over Answer all the questions. 1 Solve 5123 x . 73 x 7 3x Answer.. 7 3x ………………… [1] 2 Factorise completely babxax 2323 22  . )23()23(2 babax  )1)(23( 2  xba )1)(1)(23(  xxba Answer…… )1)(1)(23(  xxba …… [3] 3 Solve the inequality 3297  x . x297  and 329  x 162 x 62  x 8x 3x 83  x Answer (a).... 83  x ............................... [2] 4 A farmer has 1500 tomato plants. He wants to apply 220 ml of liquid fertilizer to each plant. The fertilizer is sold in containers each holding 50 litres and costing $ 235. Calculate the total cost of the fertilizer that the farmer bought. [1 litre = 1000 ml] 0003302201500  ml l330 No of containers = 6.650 330  Total cost = 1645$2357  Answer $1645…………………… [2]

4 CHIJ SNGS Preliminary Examinations 2017 - Mathematics 4048/01 [Turn over 5 (a) Given that 1168  a , find the value of a. 043 222   a 043  a 4 3a Answer (a) 4 3a …………… [2] (b) Mercury is the fastest planet with an orbital speed of .km/h1072.1 5 Neptune is the slowest planet with an orbital speed of .km/h1095.1 4 Given that the orbital speed of Mercury is k times of the orbital speed of Neptune, find the value of k. Give your answer to a sensible degree of accuracy. 82.8 1095.1 1072.1 4 5    or 8.8 or 9 Answer (b) ……… 8.82 or 8.