BSS 2023 Maths Sec 4E Prelim QP - P2

[Turn Over Name Class Index Number BROADRICK SECONDARY SCHOOL SECONDARY 4 EXPRESS PRELIMINARY EXAMINATION 2023 MATHEMATICS Paper 2 Candidates answer on the Question Paper. 4052/02 Aug 2023 2 hours 15 minutes 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. Write the question number attempted in the left column in the box provided. Answer all questions. 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 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, unless the question requires the answer in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 90. For Examiner’s Use Error In Question Number Marks Deducted Rounding-off Reasoning Presentation This document consists of 19 printed pages. For Candidate’s Use For Examiner’s Use Question Number Marks Obtained 1 2 3 4 5 6 7 8 9 10 Total Marks /90

Broadrick Secondary School, Preliminary Examination 2023, Sec Four Express, Mathematics Paper 2 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 = ab2 1 sin C Arc length = rθ, where θ is in radians Sector area = 2 2 1 r , where θ is in radians Trigonometry C c B b A a sinsinsin == Abccba cos2222 −+= Statistics f fxMean  = Standard deviation = 22        −  f fx f fx

3 Broadrick Secondary School, Preliminary Examination 2023, Sec Four Express, Mathematics Paper 2 [Turn Over Answer all the questions. 1 (a) Expand and simplify 3 (2 1)( 4)xx− + − . Answer ….........……………..…….. [2] (b) Express as a single fraction in its simplest form 2 1 2 3 2 2 6 x x x x −++ + − . Answer ….........……………..…….. [2] (c) (i) Express 2 8 25xx−+ in the form 2()x a b−+ . Answer ….........……………..…….. [1] (ii) Hence explain why 2 8 25xx−+ is always positive for any value of x. Answer ……………………………………………………………… …………………………………………………………………………. …………………………………………………………………………. ………………………………………………………………………