CCHM 4048_01 QP

[Turn over Name: Class: Class Register Number: PRELIMINARY EXAMINATION 2022 SECONDARY 4 MATHEMATICS 4048/01 Paper 1 Wednesday 14 September 2022 Candidates answer on the Question Paper. 2 hours READ THESE INSTRUCTIONS FIRST 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, glue or correction fluid. 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 . At the end 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. The total number of marks for this paper is 80. For Examiner’s Use Total / 80 This document consists of 17 printed pages and 1 blank page. _________________________ Parent’s Signature

2 2022 Preliminary Exam/CCHMS/Secondary 4/Mathematics/4048/01 Mathematical Formulae Compound interest Total amount = Mensuration Curved surface area of a cone = Surface area of a sphere = Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = , where is in radians Sector area = , where is in radians Trigonometry Statistics Mean = Standard deviation = nrP      + 1001 lr  2 4 r hr 3 1 2 3 3 4 r Cba sin 2 1 r  2 2 1 r  C c B b A a sin sin sin == Acbcba cos 2 222 −+=   f xf 22      −     f xf f xf

3 2022 Preliminary Exam/CCHMS/Secondary 4/Mathematics/4048/01 [Turn over Answer all the questions. 1 Evaluate 3 9.45 36.03 26.9  − , correct to 3 significant figures. Answer ................................... [1] 2 Simplify 22 16 12 32 18 ab ab − − . Answer ................................... [2] 3 Ken drives at an average speed of 85 km/h on the expressway for the first stage of his journey. After exiting the expressway, he continues to drive at an average speed of 60 km/h on the city roads for the second stage of his journey. If the average speed of his entire journey is 75 km/h, find the ratio of the time taken for the first stage of