2024 HYSS_S4-5 G3 MA Prelim_Paper 2_QP

[Turn Over HUA YI SECONDARY SCHOOL PRELIMINARY EXAMINATION 2024 4-G3 / 5-G2 NAME CLASS INDEX NUMBER MATHEMATICS 4052/02 PAPER 2(XX) 19 August 2024 2 hour 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class, and index number on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue, or correction fluid. Answer all the questions. The number of marks is given in brackets [ ] at the end of each question or part question. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The total of the marks for this paper is 90. The use of an approved scientific calculator is expected, where appropriate. 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  , use either your calculator value or 3.142. For Examiner’s Use 90 This document consists of 24 printed pages. © HYSS 2024 No part of this document may be reproduced in any form or transmitted in any form or by any means without the prior permission of Hua Yi Secondary School. Setter: Ms Jasmine Tan

2 2024_4-G3 / 5-G2_PRELIMS_ MATHEMATICS _PAPER 2 [Turn over Mathematical Formulae Compound interest Total Amount = 1 100 n rP+ Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = 21 3 rh Volume of a sphere = 34 3 r Area of triangle ABC = Cabsin2 1 Arc length = r , where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry C c B b A a sinsinsin == Abccba cos2222 −+= Statistics Mean =   f fx Standard deviation = 22       −     f fx f fx

3 2024_4-G3 / 5-G2_PRELIMS_ MATHEMATICS _PAPER 2 [Turn over 1 (a) Express as a single fraction in its simplest form 21 7 3 6xx−−− . Answer ………………………. [2] (b) It is given that 35 92 wv w −=+ + . (i) Find v when 6w=− . Answer ………………………. [1] (ii) Rearrange the formula to make w the subject. Answer w = .…………………. [3]

4 2024_4-G3 / 5-G2_PRELIMS_ MATHEMATICS _PAPER 2 [Turn over (c) Solve the equation 2 5 3 1 2 4 7xx −=−− . Give your solutions correct to two decimal places. Answer x = ……...… , x = …….…… [5]

5 2024_4-G3 / 5-G2_PRELIMS_ MATHEMATICS _PAPER 2 [Turn over 2 C is the point ( )9,1− and D is the point ( )7,4 . 2 8CE −= . (a) Calculate the length of the line CD. Answer …………….… units [2] (b) Determine the coordinates of point E. Answer E (………. , …….….) [1] (c) Find the equation of the line DE. Leave your an