Xinmin 2024 4NA Math Prelim (P2) (QP)

This document consists of 20 printed pages and 2 blank pages. [Turn over XINMIN SECONDARY SCHOOL SEKOLAH MENENGAH XINMIN Preliminary Examination 2024 CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS (SYLLABUS A) Paper 2 Secondary 4 Normal (Academic) 4045/02 1 August 2024 2 hours 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. Section A Answer all questions. Section B Answer one question. 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. The total of the marks for this paper is 70. 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 Total Marks for PRWC For Examiner’s Use 70 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 Section A (62 marks) Answer all the questions in this section. 1 The stem-and-leaf diagram shows the temperature, in °C, over 15 days in June in a city. 1 7 9 9 2 0 3 3 3 4 4 5 7 8 8 3 0 2 Key: 1 | 7 represents 17°C (a) Find (i) the range of the temperatures, Answer ……………………… °C [1] (ii) the mean temperature, correct to 1 decimal place, Answer ……………………… °C [2] (iii) the standard deviation of the temperatures. Answer ……………………… °C [1] (b) Another day in June has a temperature of 22°C. Given that this temperature value is to be included in the above diagram, would the mean temperature increase or decrease? Without the use of calculations, explain your answer. Answer …………………………………………………………………………. …………………………………………………………………………………... …………………………………………………………………………………... [1]

4 2 (a) Written as th