ACSBR 2023 3EXP Math EYE P2

Full Name Class Index No Class Anglo-Chinese School (Barker Road) END-OF-YEAR EXAMINATION 2023 SECONDARY THREE EXPRESS MATHEMATICS 4052 PAPER 2 1 HOUR 45 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. 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 70. This question paper consists of 18 printed pages. For Examiner’s Use

Anglo-Chinese School (Barker Road) 2 End-of-Year Examination 2023 Secondary 3 Express 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 End-of-Year Examination 2023 Secondary 3 Express Mathematics 4052 Paper 2 1 (a) The price of a game console in Singapore is $620. The price of the same game console in Japan is 42 980 yen. The exchange rate between Singapore dollar ($) and Japanese yen (¥) is $1 = ¥104.2. Calculate how much more expensive the game console is in Singapore than in Japan. Answer $ _________________________ [2] (b) Mr Ong invests $10 000 at a rate of r% per year compound interest. At the end of 3 years the value of his investment is $11 313. Calculate the value of r. Answer r = ________________________ [2]

Anglo-Chinese School (Barker Road) 4 End-of-Year Examination 2023 Secondary 3 Express Mathematics 4052 Paper 2 (c) The cash price of a television set is $2480. The hire-purchase price of the television set is $2772. The hire-purchase price is a deposit of 15% of the cash price plus 12 equal monthly payments. Calculate one monthly payment. Answer $ ________________________ [3] 2 In the diagram, A is the point