SCSS 2024 EM Prelim P1 QP

SWISS COTTAGE SECONDARY SCHOOL SECONDARY FOUR AND FIVE PRELIMINARY EXAMINATION O Name: ( ) Class: MATHEMATICS Paper 1 Candidates answer on the Question Paper. 4052/01 Monday 26 August 2024 2 hours 15 minutes READ THESE INSTRUCTIONS FIRST Write your class, index number and name on all the work you hand in. 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  . 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 90. For Examiner’s Use Section A 72 Section B 18 Total 90 This document consists of 22 printed pages and 2 blank pages. Setter: Mr Ang Hanping Vetter: Mdm Zoe Pow [Turn over Home of Thoughtful Leaders: Serve with Honour, Lead with Humility

2 Mathematical Formulae Compound Interest Total amount = 1 100 n rP+ Measurement 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 = 22f x f x ff  −  

3 Section A (72 marks) Answer all the questions. 1 In the triangle, PQ = QR, PR = 15 cm and angle PQR = 90o. Calculate PQ. Answer PQ = .………………... cm [2] 2 A bag contains 8 red balls, 5 green balls and 7 yellow balls. (a) A ball is chosen at random and then replaced. What is the probability that it is not a red ball? Answer .……………….................. [1] (b) x yellow balls are removed from the bag. The probability of choosing a green ball is now 1 3 . Find the value of x. Answer x = .………………............ [1] 15 P Q R

4 3 In 2023, the population in Singapore was 5 920 000, correct to the nearest ten thousand. The population increased by 4% from 2020 to 2023. Calculate the population in Singapore in 2020, giving your answer correct to the nearest ten thousand. Answer