2020 4E5N Prelim QP1

Name: Register Number: Class: 4E 5N BEDOK GREEN SECONDARY SCHOOL Preliminary Examination 2020 4E 5N MATHEMATICS 4048/01 Paper 1 28 August 2020 2 hours 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 80. For Examiner’s Use This document consists of 21 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 without the prior per mission of Bedok Green Secondary School [Turn over 80

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 Answer all the questions. 1 x is a number which has 4 significant figures. x = 7 (nearest integer), x = 7.5 (1 decimal place) x = 7.49 (2 decimal places) Find (a) the least possible value of the number x, Answer ……… …….. …....……………… [1] (b) the greatest possible value of the number x. Answer ……… …….. …....……………… [1] 2 Given that sin  = 0.875, find the values of  where 0 ≤  ≤ 180. Answer  = ………… …. . or ………… …. . [2] 3 (a) 3 x pp p p   Find the value of x. Answer x = ………… …. ....……………… [ 1] (b) Simplify 1 2( )25 m  . Answer ……… …….. …....……………… [1]

4 © BGSS 2020 4 Write as a single fraction in its simplest form 3 2 5 7 1x x   . Answer ……… ……..…....……………… [2 ] 5 (a) The cube root of n is 26  53. Find n as a product of its prime factors. Answer