BSS 2023 Maths Sec 4E Prelim QP - P1

[Turn Over Name Class Index Number BROADRICK SECONDARY SCHOOL SECONDARY 4 EXPRESS PRELIMINARY EXAMINATION 2023 MATHEMATICS Paper 1 Candidates answer on the Question Paper 4052/01 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. 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 For Examiner’s Use This document consists of 19 printed pages. 90

Broadrick Secondary School, Preliminary Examination 2023, Sec Four Express, Mathematics Paper 1 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 1 [Turn Over Answer all the questions. 1 (a) Calculate 21009 ( 0.2)−− . Write down the first five digits on your calculator display. Answer ….........……………..…….. [1] (b) Write your answer to part (a) correct to 2 significant figures. Answer ….........……………..…….. [1] 2 (a) Simplify fully ( ) 4 33 p . Answer ….........……………..…….. [1] (b) Given that 5 2 nx xx− = , find n. Answer n = .…...……...…………... [1] 3 Graph A Graph B Graph C Graph D Graph E Identify and write down a possible graph for each of the equations below. (a) 23yx −= , Answer Graph ..……………..…….. [1] (b) 23yx=+ . Answer Graph ..……………..…….. [1] x y x y x y x y x y

Broadrick Secondary School, Preliminary Examination 2023,