BWSS 2023 Sec 4N Math Prelim Paper 1

I believe, therefore I am MATHEMATICS SYLLABUS A Secondary 4 Normal Academic/ 4 Normal Technical (OOS) 1 August 2023 2 hours Candidates answer on the Question Paper. Additional Materials: Writing papers upon request READ THESE INSTRUCTIONS FIRST Write your class, index number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all the questions. The number of marks is given in brackets [ ] at the end of each question or part question. If working is required for any question, it must be shown with the answer. Omission of essential working will result in loss of marks. The total of the marks for this paper is 70. 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 your answer to three significant figures. Give answer in degrees to one decimal place. For , use either your calculator value or 3.142, unless the question requires the answer in terms of . DO NOT OPEN THIS PAPER UNTIL YOU ARE TOLD TO DO SO This document consists of 18 printed pages, including this cover page. Class Full Name Index Number Preliminary Examination 2023 For Examiner’s Use 70 N Calculator Model No.: 4045/01

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3 Answer all the questions. 1 The table shows the maximum and minimum temperatures of three cities in a day during the month of January. City Beijing Geneva Helsinki Maximum temperature 2°C 5°C – 1°C Minimum temperature – 8°C – 1°C – 7°C (a) Find the average of the minimum temperatures of Beijing and Geneva. Answer ……..................................°C [1] (b) State the city with the biggest difference between its maximum and minimum temperatures. Show the calculations you make. Answer ……....................................... [1] 2 A bag contains only red, blue and yellow marbles. 1 6 of the marbles are yellow. The ratio of red and blue marbles is 2 : 3. (a) Write the ratio of yellow marbles : blue marbles in its simplest form. Answer .................... : ................. [1] (b) If the bag contains 16 yellow marbles, how many blue marbles are there? Answer ........................................ [1]

4 3 Express 71 km/h in m/s, giving your answer correct to 2 significant figures. Answer ..................................... m/s [2] 4 (a) Subtract the sum of –3x2 + 15 – 10x and 9x2 + 3x – 14 from –7x + 15x2 + 1. Answer …….....................