BWSS 2023 Sec 4N Math Prelim Paper 2

I believe, therefore I am MATHEMATICS SYLLABUS A Secondary 4 Normal Academic/ 4 Normal Technical (OOS) 3 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 an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Section A Answer all the questions. Section B Answer one question. 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 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 the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142. 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.: 4045/02

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3 Section A (62 marks) Answer all the questions in this section. 1 (a) Evaluate 5.48 × √983 (0.15)2 . (i) Write down your answer correct to 2 significant figures. Answer ……....................................... [1] (ii) Write down your answer as a whole number. Answer ……....................................... [1] (b) The population of Asia is approximately 4 758 460 732. (i) Write the value correct to the nearest million. Answer ……........................... millions [1] (ii) The land area of Asia is estimated to be 4.46 × 107 square kilometres. Calculate the number of people per square kilometre in Asia. Answer ……....................................... [2] 2 (a) Simplify 8(𝑦 1 2𝑧)3 ÷ √4𝑦3 . Answer ........................................ [2] (b) Given 3m × 34 = 9, find m. Answer m = ........................................ [2]

4 3 Two lines intersects at point R. Find the coordinates of point R. Answer R = ........................................... [3] 4 A reservoir has an area of 1250 m2. It is represented on the map by an area of 50 cm2. Find the scale of the map in the form of 1 : n. Answer ...................... : ..........