Outram Sec 4E5N Maths P2 Prelim 2022

Subject : Mathematics Paper No. : 4048/02 Level (Stream) : Secondary Four Express Five Normal (Academic) Date : 29 August 2022 Duration : 2 hour 30 minutes Marks : 100 READ THESE INSTRUCTIONS FIRST Candidates answer on the Question Paper. Write your name, class 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, highlighters, glue or correction fluid. Answer all questions. The number of marks is given in brackets [ ] at the end of each question or part question. 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. For Examiner’s Use 100 This document consists of 25 printed pages, including this cover page. Setter: Mr Jeremy Lum OUTRAM SECONDARY SCHOOL PRELIMINARY EXAMINATION 2022 Class Index Number Name: __________________________________________________

2 Mathematical Formulae Compound interest Total amount = 𝑃 (1 + 𝑟 100) 𝑛 Mensuration Curved Surface area of a cone = 𝜋𝑟𝑙 Surface area of a sphere = 4𝜋𝑟2 Volume of a cone = 1 3 𝜋𝑟2ℎ Volume of a sphere = 4 3 𝜋𝑟3 Area of triangle 𝐴𝐵𝐶 = 1 2 𝑎𝑏 sin 𝐶 Arc length = 𝑟𝜃, where  is in radians Sector area = 1 2 𝑟2𝜃, where  is in radians Trigonometry 𝑎 sin 𝐴 = 𝑏 sin 𝐵 = 𝑐 sin 𝐶 𝑎2 = 𝑏2 + 𝑐2 − 2𝑏𝑐 cos 𝐴 Statistics Mean = fx f   Standard deviation = 22fx fx ff  −  

3 Answer all the questions. 1 (a) In 2020, Tammy earned a total of $38000. In 2021, he earned $3500 each month. Calculate the percentage increase in his earnings from 2020 to 2021. Answer ……………………………...% [2] (b) A bank offers a savings account with a compound interest rate of 1.8 % per annum. On 1st January 2022, Tammy deposited $5000 in this account. Calculate the total interest earned on 31st December 2031. Give your answer correct to the nearest cent. Answer $ ……………………………... [3]

4 (c) The exchange rate between Singapore dollars (SGD) and Swiss franc (CHF) is 1 SGD = 0.7 CHF. The exchange rate between British pounds (GBP) and Singapore dollars is 1 GBP = 1.73 SGD. Tammy is planning a trip to Europe. She finds these hotel prices on a website. Tammy books 4 nights in the hotel in Switzerland and 3 nights in the hotel in London. She pays using her credit card. The credit card company converts the prices to Singapore dollars. Tammy is