Dunman Sec_2025 Prelims 4EXP Math Paper 2 QP

This document consists of 21 printed pages and 1 blank page. DUNMAN SECONDARY SCHOOL CANDIDATE NAME CLASS INDEX NUMBER PRELIMINARY EXAMINATION 2025 SECONDARY 4 EXPRESS / 5 NORMAL ACADEMIC MATHEMATICS 4052/02 Paper 2 26 August 2025 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and index number on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. 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 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 π, use either your calculator value or 3.142, unless the question requires the answer in terms of π. Calculator Model Total Marks

2 4052/02/PRELIM/4E5NA/2025 Mathematical Formulae Compound interest Total amount = 1 100 n rP+ Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 24πr Volume of a cone = 21 π3 rh Volume of a sphere = 34 π3 r Area of a 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  − 

3 4052/02/PRELIM/4E5NA/2025 [Turn over BLANK PAGE

4 4052/02/PRELIM/4E5NA/2025 Answer all the questions. 1 (a) Solve the inequality 5921 2 xx +− . Answer ……………………… [2] (b) It is given that ( ) 2 2 25np b np − = − . (i) Find b when n = 1 and p = −2. Answer ……………………… [1] (ii) Express p in terms of b and n. Answer p = …………………..[3[3]

5 4052/02/PRELIM/4E5NA/2025 [Turn over (c) Solve the equation 32 72 1 5 x xx −=−− . Answer ……….. or ………… [5]

6 4052/02/PRELIM/4E5NA/2025 2 (a) In 2023, the amount of waste recycled in Singapore was 3.553 million tonnes. The amount of waste disposed in Singapore was 3.3064 million tonnes. (i) How much more waste (in tonnes) was recycled than disposed in Singapore in 2023? Write the difference (in tonnes) in standard form, correct to three significant figures. Answer ……………… tonnes [2] (ii) The amount of waste recycled in Singapore in 2020 was 3.040 million