2017 SNGS Sec 4 EM Prelim P1

3 CHIJ SNGS Preliminary Examinations 2017 - Mathematics 4048/01 [Turn Over Answer all the questions. 1 Solve 5123 x . Answer……………………….. [1] 2 Factorise completely babxax 2323 22  . Answer ………………………….[ 3] 3 Solve the inequalities 3297  x . Answer ................................... [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 how much the farmer has to pay for the fertiliser. [1 litre = 1000 ml] Answer $..................................[2]

4 CHIJ SNGS Preliminary Examinations 2017 - Mathematics 4048/01 5 (a) Given that 1168  a , find a. Answer (a) 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. Answer (b) k =.…………………….[1] 6 Express as a single fraction in its simplest form )24( 3 )2( 2 2 tt   . . Answer ……………………… [3]

5 CHIJ SNGS Preliminary Examinations 2017 - Mathematics 4048/01 [Turn Over 7 The mean weight of five rocks on Earth was 3.462 N. The standard deviation of the weights of the five rocks was 0.0683 N. The five rocks were then weighed on the Moon. The weights of the five rocks on the moon were 16.5% of their weights on Earth. For the weights of the five rocks on the Moon, find (a) the mean, (b) the standard deviation of the weights. Answer (a) ……… … …….. N[1] (b) …..…… … …… N[1] 8 The initial population of some biological organisms is 600. The population, P organisms, after t days is given by the formula P = 600  t21.3 . (i) Calculate P when t = 3. Give your answer correct to the nearest whole number. Answer (i) P = …………………… [1] (ii) Find the percentage increase in the population over the first 3 days. Answer (ii) ………………… % [2]

6 CHIJ SNGS Preliminary Examinations 2017 - Mathematics 4048/01 9  = {all triangles} R = {right-angled triangles} S = {isosceles triangles} A is a triangle with angles 45 , 45 and 90 . B is a triangle with sides 6 cm, 6 cm and 3 cm. C is a triangle with sides 3 cm, 4 cm and 5 cm. On the Venn Diagram below, write A, B and C in th