2025 CCHY MA 4E5N EM Prelim P1 Sol

* 2025 Prelim Mathematics / 4052/01 / Sec 4E5N [Turn_over 2025 Preliminary Examination Secondary Four Express / Five Normal Academic CANDIDATE NAME FORM CLASS / SUBJECT GROUP / INDEX NUMBER MATHEMATICS 4052/01 Paper 1 18 August 2025 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and index number on 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 paper clips, glue or correction fluid. Answer all the 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. You are reminded of the need for clear presentation in your answers. Up to 2 marks may be deducted for improper presentation. 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 π , use either your calculator value or 3.142. Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 1 3 2 3 3 2 3 4 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 3 2 2 3 6 6 3 3 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 4 3 3 3 3 3 4 5 Q25 Q26 Presentation Deduction –1 / –2 Total 90 8 5 This document consists of 20 printed pages. CHUNG CHENG HIGH SCHOOL (YISHUN)

2 2025 Prelim Mathematics / 4052/01 / Sec 4E5N [Turn_over Mathematical Formulae Compound Interest Total amount 1 100 n rP= + Measurement Curved surface area of a cone πrl= 2Surface area of a sphere 4 πr= 21Volume of a cone 3 πr h= 34Volume of a sphere 3 πr= 1Area of triangle sin 2ABC ab C= , where is in radiansArc length rθθ= 2 , where is in radians1Sector area 2 r θθ= Trigonometry sin sin sin abc ABC= = 2 22 2 cos Aa c bcb += − Statistics Mean fx f= ∑ ∑ 22 Standard deviation fx fx ff  = −  ∑∑ ∑∑

3 2025 Prelim Mathematics / 4052/01 / Sec 4E5N [Turn_over 1 Calculate 3 9.26 51.76 2.02− , giving your answer correct to 5 significant figures. 8.8362− Answer …………………………… [1] 2 (a) Express 252 as a product of its prime factors. 22237×× Answer ………………………………… [1] (b) The highest common factor (HCF) of two numbers is 21. The lowest common multiple (LCM) of the two numbers is 252. Both numbers are less than 100. Find the two numbers. 2 2 37 2 37 A B = × = ×× ____________ LCM = 22252 2 3 7=×× HCF = 21 3 7= × The two numbers are 63 and 84. Answer ………………………………… [2] 3 Given that 627 8 9nn= , find the value of 3n . 1 3 12 2(3 ) 8 (3 )nn= × 363 83nn= × 631 38 nn−= 3 13 8 n =