WGSS_2024_Prelim_EMath_4052(2)_QP

1 Name Index Number Class O LEVEL PRELIMINARY EXAMINATION 2024 LEVEL & STREAM : SECONDARY 4 EXPRESS / 5 NORMAL ACADEMIC SUBJECT (CODE) PAPER : MATHEMATICS (4052) : 02 DATE (DAY) : 22 AUGUST 2024 (THURSDAY) DURATION : 2 HOURS 15 MINUTES READ THESE INSTRUCTIONS FIRST Write your name, index number and class on all the work you hand in. Write in dark blue or black pen. You may use a HB pencil for any diagrams, graphs, tables or rough working. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all 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 number of marks in 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. 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 22 printed pages including this cover page Setter : Mr Phillip Tan 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 = 24πr Volume of a cone = 21 π3 rh Volume of a sphere = 34 π3 r Area of a 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 Answer all the questions. 1 (a) 2 1=+ − ab ac (i) Find the value of b when 3=a and 4=c . Answer =b ………………….….. [1] (ii) Rearrange the formula to make a the subject. Answer ……..……………….….. [3] (b) Solve these simultaneous equations. 4 11xy− =− 5 3 1 xy+ =− Answer =x ………………….….. =y ………………….….. [3]

4 (c) Solve the equation 5 13 1 2 3−=−+ x xx . Give your solutions correct to three decimal places. Answer =x …………… or …………… [4] 2 (a) Timmy wants to invest a sum of money in one of the following investment plans. Plan A Pays 2% simple interest per year Plan B Pays 2% compound interest p