KRSS AM Prelim P1 2024 Question Paper

KENT RIDGE SECONDARY SCHOOL PRELIMINARY EXAMINATION 2024 ADDITIONAL MATHEMATICS 4049/01 PAPER 1 SECONDARY 4 EXPRESS/ 5 NORMAL ACADEMIC Thursday 22 August 2024 2 hour 15 minutes KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE SECONDARY SCHOOL KENT RIDGE Name: ____________________________________ ( ) Class: Sec ____________ Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, index number and class in the spaces at the top of this page. Do not open this question paper until you are told to do so. 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, correction fluid or correction tape. 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. 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. _________________________________________________________________________________ This Question Paper consists of 20 printed pages, including this page. Setter: Vivian Tan [Turn over Calculator Model: For Examiner’s Use Total 90

Secondary 4 Express 2 4049 / 01 Additional Mathematics Kent Ridge Secondary School Preliminary Examination 2024 Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0, 𝑥 = −𝑏 ± √𝑏2 − 4𝑎𝑐 2𝑎 Binomial Theorem (𝑎 + 𝑏)𝑛 = 𝑎𝑛 + (𝑛 1) 𝑎𝑛−1𝑏 + (𝑛 2) 𝑎𝑛−2𝑏2+. . . + (𝑛 𝑟) 𝑎𝑛−𝑟𝑏𝑟+. . . +𝑏𝑛, where n is a positive integer and (𝑛 𝑟) = 𝑛! 𝑟!(𝑛−𝑟)! = 𝑛(𝑛−1)...(𝑛−𝑟+1) 𝑟! . 2. TRIGONOMETRY Identities sin2 𝐴 + cos2 𝐴 = 1 sec2 𝐴 = 1 + tan2 𝐴 cosec2𝐴 = 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 tan( 𝐴 ± 𝐵) = tan 𝐴±tan 𝐵 1∓tan 𝐴 tan 𝐵 sin 2 𝐴 = 2 sin 𝐴 cos 𝐴 cos 2 𝐴 = cos2 𝐴 − sin2 𝐴 = 2 cos2 𝐴 − 1 = 1 − 2 sin2 𝐴 tan 2 𝐴 = 2 tan 𝐴 1−tan2 𝐴 Formulae for ABC 𝑎 sin 𝐴 = 𝑏 sin 𝐵 = 𝑐 sin 𝐶