AISS 4N Prelim 2023 P2 QP

1 This document consists of 21 printed pages. AISS PRELIM/4045/02/2023 [Turn over AHMAD IBRAHIM SECONDARY SCHOOL GCE N-LEVEL PRELIMINARY EXAMINATION 2023 SECONDARY 4 NORMAL (ACADEMIC) Name: Class: Register No.: MATHEMATICS SYLLABUS A Paper 2 Candidates answer on the Question Paper. 4045/02 02 August 2023 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. 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 number of 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. For Examiner’s Use / 70

2 AISS PRELIM/4045/02/2023 [Turn over Mathematical Formulae Compound Interest Total amount = n rP    + 1001 Mensuration Curved 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 sin sin sin a b c A B C== a2 = b2 + c2 − 2bc cos A Statistics Mean = f fx   Standard deviation = 22        −  f fx f fx

3 AISS PRELIM/4045/02/2023 [Turn over Section A (62 marks) Answer all the questions in this section. 1 (a) Calculate 25.3 3.9 2.5 + . Answer …………...…..…………. [1] (b) (i) Write 0.000 002 589 in standard form. Answer …………...…..…………. [1] (ii) The population of Singapore in 2023 is 65.97 10 . The area of Singapore is 27.34 10 km2. Calculate the average number of people per square kilometre in Singapore in 2023. Give your answer in standard form. Answer …………...…..…………. [2]

4 AISS PRELIM/4045/02/2023 [Turn over 2 The diagram shows a pentagon ABCDE. AFE is a straight line and CDEFG is a regular pentagon. Angle BAF = 90o. Find x and y. Answer x = .......…………………. y = ……………...…....…. [5]

5 AISS PRELIM/4045/02/2023