Beatty Prelim_4NA_P2_2024

BEATTY SECONDARY SCHOOL PRELIMINARY EXAMINATION 2024 SECONDARY FOUR NORMAL (ACADEMIC) CANDIDATE NAME CLASS REGISTER NUMBER MATHEMATICS SYLLABUS A 4045/02 Paper 2 06 August 2024 2 hours Candidates answer all questions on the Question Paper Additional Materials: Nil READ THESE INSTRUCTIONS FIRST This document consists of 19 printed pages and 1 blank page. [Turn over Write your name, class and index number in the spaces on the top of this page. 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  , use either your calculator value or 3.142. For Examiner’s Use 1 2 3 4 5 6 7 8 9 10 11 or 12 (Choose one) Total /70

2 Mathematical Formulae Compound Interest Total amount = n rP      + 1001 Mensuration Curved Surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cabsin2 1 Arc length = r, where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry Abccba C c B b A a cos 2 sinsinsin 222 −+= == Statistics Mean = f fx   Standard deviation = 22        −  f fx f fx

3 Section A (62 marks) Answer all the questions in this section. 1 (a) Solve the equation 15 5 x = . Answer x = ….…..……….. [1] (b) Simplify 2 52 xx   . Leave your answer in positive index form. Answer ………..…..……….. [2] (c) Factorise 2 2 215 3a b ab− . Answer ………..…..……….. [1] (d) Expand and simplify ( )6 2 5 x−− . Answer ………..…..……….. [2] [Turn over

4 2 (a) Calculate the length between P(1, –3) and Q(5, 12). Answer ……….…..……….. [2] (b)(i) y is inversely proportional to x . When x = 9, y = 5. Find an equation connecting x and y. Answer ………..…..……….. [2] (b)(ii) Find the value of y when x = 25. Answer y = …….………….. [2]

5 3 (a) In the figure, AB, CD and EF are parallel, while BC and ED are parallel. Find the Reflex Ang