Singapore Chinese Girls_ School Paper 2

SINGAPORE CHINESE GIRLS’ SCHOOL PRELIMINARY EXAMINATION 2022 SECONDARY FOUR O-LEVEL PROGRAMME CLASS 4 REGISTER NUMBER CENTRE NUMBER S INDEX NUMBER MATHEMATICS 4048/02 PAPER 2 Monday 29 August 2022 2 hours 30 minutes 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 100. This document consists of 21 printed pages and 1 blank page. CANDIDATE NAME [Turn over For Examiner’s Use www.KiasuExamPaper.com 683

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 684

3 [Turn over 1 (a) (i) Solve the inequalities 31 2 1525 xx d . Answer ……………………………... [3] (ii) Hence, state the largest integer that satisfies 31 2 1525 xx d . Answer ……………………………... [1] (b) Simplify 2 2 (4 10) 10 21 10 x xx

. Answer ……………………………... [3] www.KiasuExamPaper.com 685

4 (c) Solve the equation 2 65 123 1 2 x xx . Answer x = ……………………