AMKSS_PRELIM_2023_4NA_EMath_P1_Question

[Turn Over Candidate Name Form Class Index Number ANG MO KIO SECONDARY SCHOOL PRELIMINARY EXAMINATION 2023 SECONDARY FOUR NORMAL ACADEMIC MATHEMATICS SYLLABUS A 4045/01 Paper 1 02 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. 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 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 16 printed pages.

2 AMKSS 4NA Prelim Exam 4045/01/2023 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 4045/01/2023 [Turn Over 1 Write these numbers in order of size, starting with the largest. 73% 3 7 3 2 3  0.63 Answer , , , , [2] largest 2 Calculate 3309.6 18.57 6.43− . (a) Write your answer correct to 4 significant figures. Answer [1] (b) Write your answer to part (a) in standard form. Answer [1] 3 The result obtained from an experiment was 9.5036 m/s. How many significant figures did a student correct the result to if he reported it as 9.50 m/s? Answer [1]

4 AMKSS 4NA Prelim Exam 4045/01/2023 4 22 7 33 25 5 25 p q x x x x −+=− + − Find p and q . Answer p= q= [3] 5 ( ) 22 10 5x x x a b+ − = + + (a) Find a and b . Answe