XMSS E Math Prelim P1 2024 QP

This document consists of 20 printed pages. [Turn over XINMIN SECONDARY SCHOOL SEKOLAH MENENGAH XINMIN Preliminary Examination 2024 CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS Paper 1 Setter: Ms Low Yan Jin Vetter: Ms Vanessa Chia Moderator: Mr Johnson Chua 4052/01 21 August 2024 2 hour 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 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 [Turn over Answer all the questions. 1 Evaluate (a) 8.75 4.86 0.982+ , correct to 2 decimal places, Answer ……………………………. [1] (b) ( ) ( ) 625.87 10 3.94 10 −   , leaving your answer in standard form, correct to 3 significant figures. Answer ……………………………. [1] 2 (a) Express 540 as a product of its prime factors. Answer ……………………………. [1] (b) The number 540x y is a perfect square, where x and y are prime numbers and x > y. Find the value of x and of y. Answer x = ……………………………. y = ……………………………. [1]

4 3 (a) Simplify 2 5 6 224 8a b a b − . Leave your answer in positive index form. Answer ……………………………. [1] (b) Given that 193 729 kk= , find the value of k. Answer k = ……………………………. [2] 4 During a school’s anniversary, Joey sold x cookie