ACSBR 2024 4E5N Prelim Math P2 QP

Full Name Class Index No Class Anglo-Chinese School (Barker Road) PRELIMINARY EXAMINATION 2024 SECONDARY FOUR EXPRESS / FIVE NORMAL (ACADEMIC) MATHEMATICS 4052 PAPER 2 2 HOURS 15 MINUTES Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your 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. 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 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. This document consists of 21 printed pages and 1 blank page. For Examiner’s Use

Anglo-Chinese School (Barker Road) 2 Preliminary Examination 2024 Secondary 4 Express / 5 Normal (Academic) Mathematics 4052 Paper 2 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 1 sin2 ab C= Arc length r= , where  is in radians Sector area 21 2 r = , where  is in radians Trigonometry sin sin sin a b c A B C== 2 2 2 2 cosa b c bc A= + − Statistics Mean fx f=  Standard deviation 22fx fx ff  =−   

Anglo-Chinese School (Barker Road) 3 Preliminary Examination 2024 Secondary 4 Express / 5 Normal (Academic) Mathematics 4052 Paper 2 1 On a particular day in 2023, the exchange rate between Singapore dollars (SGD) and United States dollars (USD) was USD 1 = SGD x. (a) Write down an expression, in terms of x, for the USD received in exchange for SGD 10 000. Answer USD = ___________________ [1] In 2022, the rate was such that USD 1 would exchange for SGD 0.030 less than in 2023. The difference in exchanging SGD 10 000 in 2023 and SGD 10 000 in 2022, is USD 166. (b) Write down an equation to represent this information and show that it reduces to 283 2.49 150 0xx− − = . Answer [3] (c) Solve the equation 283 2.49 150 0xx− − = , giving your solutions correct to three decimal places. Answer x = ______________ or ______________ [3] (d) Find the amount of USD received in exchange for SGD 20 000 in 2022. Give your answer correct to the nearest dollar. Answer USD = ___________________ [2]

Anglo-Chinese School (Barker Road) 4 Preliminary E