2020 4E5N Prelim QP2v2

Name: Register Number: Class: 4E 5N BEDOK GREEN SECONDARY SCHOOL Preliminary Examination 2020 4E 5N MATHEMATICS 4048/02 Paper 2 31 August 2020 2 hours 30 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and register number 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 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 100. For Examiner’s Use This document consists of 25 printed pages including the cover page. © BGSS 2020 No part of this document may be reproduced in any form or transmitted in any form or by any means wit hout the prior permission of Bedok Green Secondary School [Turn over 100

2 © BGSS 2020 Mathematical Formulae Compound interest Total amount 1 100 nrP     Mensuration 2 2 3 2 Curved surface area of a cone Surface area of a sphere 4 1Volume of a cone 3 4Volume of a sphere 3 1Area of triangle sin 2 Arc length , where is in radians 1Sector area , where 2 rl r r h r ABC ab C r r                is in radians Trigonometry 2 2 2 sin sin sin 2 cos a b c A B C a b c bc A      Statistics 22 Mean Standard deviation fx f fx fx f f               

3 © BGSS 2020 [Turn over 1 (a) The cash price of a camera is $1 880. Amelia bought the camera on hire purchase. She paid a deposit of one fourth of the cash price and paid the rest by 24 equal monthly instalments of $65. (i) Find the total amount that Amelia paid for the camera. Answer $…… …….. …....……………… [1] (ii) Calculate the extra cost of buying the camera on hire purchase as a percentage of the cash price. Answer …… …….. …....……………… % [1] (b) Alyssa bought an identical camera. In order for her to pay for the camera, she borrowed a sum of $1 880 for 3 years at a compound interest rate of 4% per year. Calculate the interest that Alyssa had to pay. Answer $…… …….. …....……………… [ 2] (c) On selling a camera at $1 880, the merchant made a profit of 113% of the cost which he paid for the camera. Find the cost price of the camera.