ACSBR 2023 4EXP Prelim MA P1

Full Name Class Index No Class Anglo-Chinese School (Barker Road) PRELIMINARY EXAMINATION 2023 SECONDARY FOUR EXPRESS MATHEMATICS 4052 PAPER 1 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. 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. This question paper consists of 26 printed pages and 2 blank pages. For Examiner’s Use

Anglo-Chinese School (Barker Road) 2 Preliminary Examinations 2023 Secondary 4 Express Mathematics 4052 Paper 1 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 Examinations 2023 Secondary 4 Express Mathematics 4052 Paper 1 1 Simplify ( )5 3 2 .aa−− Answer __________________________ [1] 2 (a) Calculate 212.5 .5.48 2.47− Write down the first five digits of your answer. Answer _________________________ [1] (b) Write your answer to part (a) correct to 2 significant figures. Answer __________________________ [1]

Anglo-Chinese School (Barker Road) 4 Preliminary Examinations 2023 Secondary 4 Express Mathematics 4052 Paper 1 3 The sine of an angle is 0.6420. Give two possible values for the angle. Answer _________  or __________  [2] 4 (a) Express 168 as the product of its prime factors. Answer _________________________ [1] (b) The number 168k is a perfect square. Find the smallest positive integer value of k.