BBSS 4 Express Add Maths Prelims Paper 1_4049_2021_Final

Class Register Number Name Bukit Batok Secondary School GCE ‘O’ Level Preliminary Examination 2021 Secondary 4 Express ADDITIONAL MATHEMATICS 4049/01 Paper 1 24 August 2021 Tuesday 08 00 – 10 15 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, register number and class 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, highlighters, glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved scientific calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. If you need additional writing space, you may request for writing/graph papers from the invigilators. At the end of the examination, you will insert the additional writing/graph papers into your Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 90. For Examiner’s Use This document consists of 19 printed pages. HOM: Striving for accuracy and precision

2 BBSS/Prelim/2021/Sec4E/AMaths/Paper1 Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation Binomial expansion , where n is a positive integer and 2. TRIGONOMETRY Identities sin² A + cos² A = 1 sec² A = 1 + tan² A cosec² A = 1 + cot² A sin (A  B) = sin A cos B  cos A sin B cos (A  B) = cos A cos B ∓ sin A sin B sin 2A = 2sin A cos A cos 2A = cos2 A – sin2 A = 2cos2 A – 1 = 1 – 2sin2 A tan 2A = Formulae for ABC a² = b² + c² 2bc cos A Answer all the questions

3 BBSS/Prelim/2021/Sec4E/AMaths/Paper1 1 The quadratic function 3 − 2𝑚 + 𝑚𝑥 − 𝑥2 is always negative for . Determine the value of p and of q. [4]

4 BBSS/Prelim/2021/Sec4E/AMaths/Paper1 2 Given that prove that . [4]

5 BBSS/Prelim/2