WGSS_2024_Prelim_EMath_4052(1)_QP

Name Index Number Class O-LEVEL PRELIMINARY EXAMINATION 2024 LEVEL & STREAM : SECONDARY 4 EXPRESS / 5 NORMAL ACADEMIC SUBJECT (CODE) PAPER : MATHEMATICS (4052) : 01 DATE (DAY) : 27 AUGUST 2024 (TUESDAY) DURATION : 2 HOURS 15 MINUTES READ THESE INSTRUCTIONS FIRST Write your class, index number and name on the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all questions. The number of marks in 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 number of 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 correct to three significant figures. Give answers in degrees to one decimal place. For π , use either your calculator value of 3.142. DO NOT TURN OVER THE QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Student’s Signature Parent’s Signature Date Date This document consists of 20 printed pages including this cover page. Setter : Mr Eric Bay 90

2 Mathematical Formulae Compound Interest Total amount = 1 100 n rP+ Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 1 3 πr2h Volume of a sphere = 4 3 πr3 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 == 2 2 2a b c= + − 2bc cosA Statistics Mean = f fx   Standard Deviation = 22        −  f fx f fx

3 Answer all the questions. 1 (a) Calculate 2 2011 ( 11) 11 8 0.6 − + − −  . Write your answer correct to 4 significant figures. Answer …………………….. [1] (b) Write your answer to part (a) in standard form. Answer …………………….. [1] 2 Expand and simplify (2 5)(3 4 )xx++ . Answer …………………….. [2] 3 Solve (a) 3 4 21x−= . Answer …………………….. [1] (b) 2 3 1 13xx +  , Answer …………………….. [2]

4 4 (a) Express 4312 as a product of its prime factors. Answer …………………….. [1] (b) Given 22588 2 3 7=   . Find (i) The largest integer which is a factor of both 588 and 4312. Answer …………………….. [1] (ii) The smallest integer which is the multiple of both 588 and 4312. Answer …………………….. [1] (iii)