AMKSS_PRELIM_2023_4NA_EMath_P2_Question

[Turn Over Candidate Name Form Class Index Number ANG MO KIO SECONDARY SCHOOL PRELIMINARY EXAMINATION 2023 SECONDARY FOUR NORMAL ACADEMIC MATHEMATICS SYLLABUS A 4045/02 Paper 2 03 August 2023 2 hours Candidates answer on the Question Paper. 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 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 π, use either your calculator value or 3.142. For Examiner’s Use 70 This document consists of 19 printed pages and 1 blank page.

2 AMKSS 4NA Prelim Exam 4045/02/2023 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curve surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 3 1 πr2h Volume of a sphere = 3 4 πr3 Area of triangle ABC = 2 1 ab sin C Arc length = rθ, where θ is in radians Sector Area = 2 1 r2θ, where θ is in radians Trigonometry C c B b A a sinsinsin == a2 = b2 + c2 – 2bc cos A Statistics Mean =   f fx Standard deviation = 22       −     f fx f fx

3 AMKSS 4NA Prelim Exam 4045/02/2023 [Turn Over Section A (62 marks) Answer all the questions in this section. 1 At the beginning of 2022, Hannah found a job as a temporary clerk and was paid a basic wage of $342 for a 36-hour week. (a) Calculate the basic hourly rate of pay. Answer $ [1] (b) For working overtime (above the 36 hours), Hannah would be paid one and a half times the basic hourly rate per hour for the first 10 hours and double the basic hourly rate for the remaining hours. (i) Calculate Hannah’s total wage for a week in which she worked 48 hours. Answer $ [2] (ii) In a certain week, Hannah’s total wage was $636.50, calculate the number of hours she worked during the week. Answer hours [2]

4 AMKSS 4NA Prelim Exam 4045/02/2023