Paper 2 QP

Name: Index Number: Class: HUA YI SECONDARY SCHOOL Preliminary Examination 2022 MATHEMATICS Paper 2 30 August 2022 2 hours 30 minutes Candidates answer on the Answer Space provided. READ THESE INSTRUCTIONS FIRST Write your Name, Class and Index Number in the spaces provided at the top of this page. Write your answers in the spaces provided on the question paper. 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 in the space below 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 of the marks for this paper is 100. For Examiner’s Use This document consists of 19 printed pages including the cover page. © HYSS 2022 No part of this document may be reproduced in any form or transmitted in any form or by any means without the prior permission of Hua Yi Secondary School. [Turn Over 4E/5N 4E/5N 4048/2 100

2 Sec 4E/5N Preliminary Examination 2022 Mathematics Paper 2 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = l rπ Surface area of a sphere = 24 rπ Volume of a cone = h r2 3 1π Volume of a sphere = 3 3 4 rπ Area of triangle ABC C absin2 1 Arc length = θr , where θ is in radians Sector area = θ2 2 1 r , where θ is in radians Trigonometry C c B b A a sin sin sin= = A bc c b acos22 2 2− + = Statistics Mean = f fx ∑ ∑ Standard deviation = 22       ∑ ∑−∑ ∑ f fx f fx

3 Sec 4E/5N Preliminary Examination 2022 Mathematics Paper 2 Answer all the questions. 1. John and Peter took part in a marathon race. They each ran 42 km. (a) John ran at a constant speed of x kilometres per hour. Write down an expression, in terms of x, for the number of hours he took. Ans: ____________ h [1] (b) Peter ran at a constant speed which was 1 2 km/h more than John’s speed. Write down an expression, in terms of x, for the number of hours he took. Ans: ____________ h [1] (c) The difference between their times was 15 minutes. (i) Write down an equation in x to represent this information, and show that it reduces to 22 168 0xx+− = . Answer: