BDKSS 4N Prelim P1 2023

[Turn Over Name Class Index Number BROADRICK SECONDARY SCHOOL SECONDARY 4 NORMAL (ACADEMIC) PRELIMINARY EXAMINATION 2023 MATHEMATICS SYLLABUS A Paper 1 Candidates answer on the Question Paper 4045/01 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. Answer all the 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 , use either your calculator value or 3.142. For Examiner’s Use Error in Question Number Marks Deducted Rounding-off Reasoning Presentation For Examiner’s Use This document consists of 17 printed pages. Setter(s) : Ms Yeo Li Shan 70

Broadrick Secondary School, Preliminary Examination 2023, Sec Four Normal (Academic), 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 Normal (Academic), Mathematics Paper 1 [Turn Over Answer all the questions. 1 330.25 0.2 0.0211 • Write these numbers in order of size, starting with the largest. Answer ………….. , ………….. , ………….. , ………….. [2] largest smallest 2 (a) A box contains red and black discs only. 2 7 of the discs are red. Write the ratio red discs : black discs. Answer ….........…… : ……..…….. [1] (b) Express 1.2 litres as a percentage of 150 ml. Answer ….........……………..….. % [2] 3 Find the smallest prime number satisfying 28x− − . Answer ….........……………..…….. [2]

Broadrick Secondary School, Preliminary Examination 2023, Sec Four Normal (Academic), Mathematics Paper 1 4 4 P is inversely proportional to x2. When