XMSS E Math Prelim P2 2024 (QP)

XINMIN SECONDARY SCHOOL SEKOLAH MENENGAH XINMIN Preliminary Examination 2024 CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS Paper 2 Setter: Mr Johnson Chua Vetter: Ms Vanessa Chia Moderator: Mr Johnson Chua 4052/02 22 August 2024 2 hours 15 minutes Candidates answer on the Question Paper READ THESE INSTRUCTIONS FIRST Write your name, index number and class in the spaces at the top of this page. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, 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 in the space below the question. 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  , use either your calculator value or 3.142. Errors Qn No. Errors Qn No. Accuracy Simplification Brackets Units Geometry Marks Awarded Presentation Marks Penalised This document consists of 23 printed pages and 1 blank page. [Turn over For Examiner’s Use 90 Parent’s/Guardian’s Signature:

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 ABC== 2 2 2 2 cosa b c bc A= + − Statistics Mean = fx f   Standard deviation = 22fx fx ff −  

3 1 (a) Solve 2 7 7 025 xx+− −= . Answer x = …………………………… [2] (b) Solve the equation (2 3)( 4) 2xx− − = . Answer x = …………………………... [4]

4 (c) Simplify 2215 3 28 x x y y  , leaving your answer in positive index form. Answer ……………………………….. [1] (d) Simplify 22 3 2 6 6 ax bx a b a ab b + − − +− . Answer ….…………………………… [3]

5 [Turn over 2 (a) Account A pays 3% per year compound interest, compounded monthly. Account B pays 3% per year compound interest, compounded yearly. Cody has some money to invest for 5 years. Explain which account Cody should invest his money in. …………………………………………………………………………………. …………………………………………………………………………………. …………………………………………………………………………………. [1] (b) Ezra invests $20 000 in an account that pays x% per year compound interest. He leaves the money in the account for 3 years. At the end of 3 years, t