Hua Yi Sec Sch P2 2020

\I ' I.' I la .I,, : ' I Name: I Index Number: I c ·1ass: 'I il trlUA. YI S~CONDARY SCHOOL I ' ., MA 'FHEMATICS PAPER '2 Prelin:ainary Examination Candidates answer on the Question Paper. ReAD TMESE INSTRUCTIONS FIRST 4NA 4045/2 6 Aug 2020 2h '.Wfite yo&:Jr Name, Class aAd Index Number on all the work you hand in. Write 'iA darik blue or black pen . . . You may use an HB-,pencil'for any diagrams or graphs. ' ' Section A Answer .all questions. Se.ction B Ans~er one question . Write your answers on separate answer pap.er provided. Omission of essential working will result in loss of marks . . The use of a scientific calculator is expected, where appropriate. For 1! , use either your calculator value or 3.142. 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. At th'e en'd of the examination, fasten all your work securely together . . The number of marks· is given in brackets [ ] at the end of each question or part 'question. For Examiner's Use The total number of marks for this paper is 60. I This document consists of 14· printed pages including the cover page. ©HYSS2020 No part of thjs d0.cumen~ mc!'Y reprod1:1ced in alily fem, or transmitted in any form or by any means without the P"1dr,f>·ermjssion of Hua Yi Secondary School. [Tum Over

Compound Inter~t Mensuration Trigonometry Statistics 2 Mathematical Formulae r Total amount= P(l+-Y 100 Curved surface area of a cone = 1D"l Surface area of a sphere = 4nr 2 1 Volume of a cone= -TTT 2h 3 Volume of-a sphere = i nr3 3 Area of triangle ARC= .!..absinC 2 AI:c~ . = -r-8, .where O· is-m-radians Sector area= .!..r20, where (} is in radians 2 a b c --=--=--sinA sinB sine a 2 =b 2 +c2 -2bccosA Mean= "'I.ft "'i.f . . "i,fx ~fx 2 (~ )2 Standard Deviation= "i.f - "'i.J Sec 4NA Preliminary Examination 2020 -Mathematics Paper 2

3 Section A (52 marks) Answer all the questions in this section. 1 (a) (i) Write 0.000 00265 in standard form. Answer (ii) The population of India in 2013 was 1.25 x 109 • The area of India is 3.3 x 106 square kilometres. Calculate the number of people per square kilometre in India. Give your answer in standard form. Answer Js.8+41.2 (b) By writing each value correct to 1 significant figure, estimate the value of 2 3 - . ~ITT-. Answer 2 a2 (2a)z (a) Simplify -x--. ab 3 b Answer (b) Write J;1 x c as a single power of c. Answer (c) Solve 2x-i = 1. Answer Sec 4NA Preliminary Examination 2020 Mathematics Paper 2 [1] [2] [2] [2] [I] [I]

3 4 4 (a) Express x2 +6x-27 in the form (x+ h) 2 + k • Answer [I] (b) Hence or otherwise, solve x2 + 6x- 27 = 0 . Answer x = ___ or __ _ [2] A 0 .____._ ____ ____J B 50cm The diagram shows a sector OAB of a circle centre 0, radius 50 cm and angle AOB = 80°. The sector is folded, joining the edges OA and OB resulting in