2024 GSS 4E5N Prelim Paper 2 (as on 5 Aug) -

[Turn over This paper consists of 23 printed pages, including this cover page. GREENRIDGE SECONDARY SCHOOL 2024 PRELIMINARY EXAMINATION SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) CANDIDATE NAME CLASS - INDEX NUMBER MATHEMATICS 4052/02 Paper 2 23 August 2024 Setter: Mrs Li Geok Eng 2 hour 15 minutes Candidates answer on the Question Paper. Additional Materials: Nil READ THESE INSTRUCTIONS FIRST Write your class, index number and name 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 questions. 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 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, unless the question requires the answer in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 90. For Examiner’s Use Total 90

2 Mathematical Formulae Compound interest Total amount = n rP       1001 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 triangle ABC = Cab sin2 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 [Turn over Answer all the questions. 1 (a) Simplify 3 2 52 64 a ab b a b . Answer …………...………………… [1] (b) Solve 50 8 x x . Answer x = ….……… or ………….. [2] (c) Simplify 241 2 10 5 v pv p v     . Answer …………...………………… [3]

4 (d) Solve 22 3(3 1)xx . Give your solutions correct to two decimal places. Answer Answer x = ……….… or …………. [4]

5 [Turn over 2 (a) Hamid borrowed a sum of money for 3 years at an interest rate of 3.5% per annum simple interest to pay for his car. If the total interest Hamid paid on the loan was $10 374, find the sum of money that he borrowed. Answer $ ………...………………… [2] (b) The table