XMS SEC 4 EMATH 2023 WA2

This document consists of 10 printed pages and 0 blank page. [Turn over XINMIN SECONDARY SCHOOL SEKOLAH MENENGAH XINMIN Weighted Assessment 2 2023 CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS Secondary 4 Express Setter: Mr Johnson Chua Vetter: Ms Vanessa Chia Candidates answer on the Question Paper. No Additional Materials are required. 4052 02 May 2023 45 minutes READ THESE INSTRUCTIONS FIRST Write your name, register 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. 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 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, unless the question requires the answer in terms of  . At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 30. Errors Qn No. Errors Qn No. Accuracy Simplification Brackets Units Geometry Marks Awarded Presentation Marks Penalised For Examiner’s Use 30 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 A B C== 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 Given that 1 2 0 3 032 2 1 5 13 4 y x      −=     − − − −      , find the value of x and of y. Answer x = …………………………….. y = ………………………… [2] 2 Mr Gan weighed 8 male students. The median mass of the students was 63.5 kg. The interquartile range of the masses of the students was 4.5 kg. Mr Gan realised that the scale of the weighing machine was inaccurate. The correct mass of each student was 1.5 kg less than what he had recorded. Write down the correct values for the median mass and interquartile range. Answer Median mass: ………………………….kg…. Interquartile range: …………………………kg [2]

4 3 27 female patients and 30 male patients living in Xin-town are found to be infected with the E-virus. The ages of the patient