Singapore Chinese Girls_ School Paper 1

SINGAPORE CHINESE GIRLS’ SCHOOL PRELIMINARY EXAMINATION 2022 SECONDARY FOUR O-LEVEL PROGRAMME CLASS 4 REGISTER NUMBER CENTRE NUMBER S INDEX NUMBER MATHEMATICS 4048/01 PAPER 1 Monday 22 August 2022 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class, register number, centre number and index 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/tape. 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 π, use either your calculator value or 3.142, unless the question requires the answer in terms of π. 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. This document consists of 19 printed pages and 1 blank page. CANDIDATE NAME [Turn over For Examiner’s Use www.KiasuExamPaper.com 663

2 Mathematical Formulae Compound Interest Total amount = 1 100 nrP§·¨¸©¹ Mensuration Curved surface area of a cone = rlS Surface area of a sphere = 24 rS Volume of a cone = 21 3 rhS Volume of a sphere = 34 3 rS Area of triangle ABC = 1 sin2 ab C Arc length = rT , where T is in radians Sector area = 21 2 r T , where T is in radians Trigonometry sin sin sin abc ABC 22 2 2c o sabc b c A Statistics Mean = fx f 6 6 Standard Deviation = 22fx fx ff §·66 ¨¸66 ©¹ www.KiasuExamPaper.com 664

3 [Turn Over 1 Expressed as the product of its prime factors, 321224 2 3 17 uu . (a) The number 1224 m ny , where m and n are prime numbers, is a perfect cube. Write down the value of m and of n. Answer m = ………………………. n = ………………………. [1] (b) The highest common factor and lowest common multiple of three numbers are 6 and 1224 respectively. Two of these numbers are 36 and 102, and the third number lies between 50 and 500. Find two possible values of the third number. Answer ................. and ………..…. [2] 2 A town is represented by an area of 20 cm2 on a map of scale 1 : 400 000. On a second map, the town is represented by an area of 51.2 cm2. Express the scale of the second map in the form 1 : n. Answer 1 : ………...………………. [2] www.KiasuExamPaper.com 665

4 3 The estimated number