2025 CCHY E.Math Prelim P2 QP + MS

* 2025 Prelim Mathematics / 4052/02 / Sec 4E5N [Turn_over 2025 Preliminary Examination Secondary Four Express / Five Normal Academic CANDIDATE NAME FORM CLASS / SUBJECT GROUP / INDEX NUMBER MATHEMATICS 4052/02 Paper 2 19 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 signifi cant figures. Give answers in degrees to one decimal place. For π , use either your calculator value or 3.142. This document consists of 20 printed pages. Question Number Marks Possible Marks Obtained 1 11 2 9 3 11 4 9 5 8 6 9 7 12 8 12 9 9 Presentation Deduction – 1 / – 2 TOTAL 90 CHUNG CHENG HIGH SCHOOL (YISHUN)

2 2025 Prelim Mathematics / 4052/02 / 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 / 4052/02 / Sec 4E5N [Turn_over 1 (a) Solve the equation 2 05 32x x+ =− by completing the square. Give your solutions correct to 2 decimal places. Answer x = ……………… or ……………… [3] (b) Write as a single fraction in its simplest form 2 25 42 x xx +−− . Answer ………………………………… [3]

4 2025 Prelim Mathematics / 4052/02 / Sec 4E5N [Turn_over (c) Solve the inequalities 5 3 2 21x xx+≤+ < − . Answer ………………………………… [3] (d) Simplify 3 12 4 8 256x y −   . Answer ………………………………… [2]

5 2025 Prelim Mathematics / 4052/02 / Sec 4E5N [Turn_over 2 (a) Which of the graphs shown above could be the graph of (i) 2xy= , Answer Figure……………………… [1] (ii) 2