Seng Kang Sec Sch P2 2020

1 ··- .... , .• u ·- .. , le,_, (IJ SENG KANG SECONDARY SCHOOL PRELIMINARY EXAMINATIONS 2020 MATHEMATICS 4 NORMAL ACADEMIC Paper2 READ THESE INSTRUCTIONS FIRST Candidates answer on the Question Paper . Write your class, Index number and name on all the work you hand In. Wrtte In dal1< blue or black pen. You may use an HB pencil for any diagrams or graphs. Oo not use staples, paper clips, glue or correction fluid. Section A Ans- all questions. Section B - Answer one question . If wotklng Is needed for any question It must be shown with the answer. Omission of assentlal working will result In Iha loss of marks . The use of an approved scientific calculator la expected, where appropriate . 4045/02 13 August 2020 2 hours If the degree of accuracy Is not specified In the question, and If the answer Is not exact , give the answer to three significant figures. Give answers In degrees to one decimal place . For rr, use either the calculator value or 3.142 , unless the question requires the answer In terms of"· Al the end of the examination, fasten all your work securely together. The number of marks Is given In brackets [ ] at the end of each quest ion or part question . The total of the marks for this paper Is 60. Parent'• I Guardian'• Signature: This document consists of 17 printed pages and 1 blank page. [Tum Over 2 Mathemotlcal Formulae Compound lnlereJ/ Total amount = JI+~) • '~ 100 Geometry and Measurement Trigonometry Sta/Isl/cs Curved surface area of a cone= nrl Surface area ofa sphere= 4nr 2 Volume of a cone= .!. m-2 h 3 4 J Volume of a sphere= 3 nr Area of triangle ABC= .!_ ab sin C 2 Arc length= r8 , where 8 is in radians Sector area=½ r'B • where 8 is in radians Cl b C -- = -- = sinA sinB sinC a' =h' +c' -2hccosA Lfx Mean= LI Standarddeviation =./Llx' -(Llx)' LI LI

2 (a) (b) 3 s«tlon A (52 marb) Answer all the questions in this acction. Simplify . I Solve the equation 2' = _!_ . 4 (a) Express 1.3 x I 0'1 as a decimal. (21 [II [I] (b) Theami ofa piece of wrapping paper is 5.88 xi~ mm2• Calrulate the total area. in square millimetres, of 1.5 x I 02 pieces of wrapping paper, leaving your answer in standard fonn. [2] [Turn Over 3 4 (a) Factori,ie 7nc - Jc + 18b - 42ab completely. (b) Solve (y + 2) (2y - 5) = 0. (c) -8 Solve the equation - = x + 4. x-2 \2\ (21 l~l

4 5 A coach bus travels 270 km from Singapore to Malacca. It reaches Johor in I hour 30 minutes after travelling at I 00 km/h, and makes the rest of the journey at 120 km/h. Calculate its average speed in km/h for the entire journey . (a) (I) Express 120 as a product of its prime factors . (II) State the smallest integer value of k for which 120k is a perfect square. (b) Albert goes hiking every 12 days and swimming every 6 days. He did both kind of exercises today . How many days from now will he go hikin1 and swimming again on the same day? (4) [I) [I) [21 (Tum Over 6 6 The diaaram belo