LVSS 2021 4E Prelims AMath P1

Loyang View Secondary School Sec 4E Preliminary Examination Additional Mathematics 4049 /1 [Turn Over LOYANG VIEW SECONDARY SCHOOL Preliminary Examination 2021 Secondary Four Express CANDIDATE NAME CLASS INDEX NUMBER FOR THIS EXAMINATION ONLY CLASS 4 E CLASS INDEX NUMBER 0 0 ADDITIONAL MATHEMATICS 4049/01 Paper 1 31 Aug 2021 2 hours 15 minutes Candidates answer on the Question Paper. No Additional Materials are required. For examiner’s use only Question number Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 Total READ THESE INSTRUCTIONS FIRST Write your Class, index number and name in the spaces at the top of this page. 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. DO NOT WRITE IN ANY BARCODES. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angle 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. Setter: Mr Sim LE This document consists of 24 printed pages. Mathematical Formulae 1. ALGEBRA Quadratic Equation

3 [Turn Over For the equation Binomial expansion where n is a positive integer and 2. TRIGONOMETRY Identities Formulae for

Loyang View Secondary School Sec 4E Preliminary Examination Additional Mathematics 4049 /1 [Turn Over 1 A recycling company collects cans from a number of sites. It crushes them and sells the aluminium back to a manufacturer. The profit from processing t tonnes of cans each week is $p, where . By completing the square, find the greatest profit the company can make each week, and how many tonnes of cans it has to collect and crush each week to achieve this profit. [4]

5 Loyang View Secondary School Sec 4E Preliminary Examination Additional Mathematics 4049 /1 [Turn Over 2 (a) If , find a relation between x and y. [2] (b) Solve the equation . [3]

6 Loyang View Secondary School Sec 4E Preliminary Examination Additional Mathematics 404 9/1 3 Express in partial fractions.