ACSI 2017 Y3 Core Mathematics Paper 1

ACS(Independent)/Y3IPCoreMathsP1/2017/Final Year 1 FINAL EXAMINATIONS 2017 YEAR 3 INTEGRATED PROGRAMME CORE MATHEMATICS PAPER 1 WEDNESDAY 4th OCTOBER 2017 1 h 30 min INSTRUCTIONS TO CANDIDATES • Write your index number in the boxes above. • Do not open this examination paper until instructed to do so. • You are not permitted access to any calculator for this paper. • Answer all questions in the spaces provided. • Unless otherwise stated in the question, all numerical answers must be given exactly or correct to three significant figures. • The maximum mark for this paper is 80. For Examiner’s Use _______________________________________________________________ This paper consists of 16 printed pages. [Turn over Candidate Index Number

ACS(Independent)/Y3IPCoreMathsP1/2017/Final Year 2 Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working. Answer all the questions in the spaces provided. 1 [Maximum mark: 3] (i) Simplify ( )( ) 2papap −−+ . [1 mark] (ii) Hence, evaluate 2489164891348919 − . [2 marks] …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….……………

ACS(Independent)/Y3IPCoreMathsP1/2017/Final Year 3 2 [Maximum mark: 7] (a) Evaluate 12 3 112 12 −      −−     − . [2 marks] (b) Simplify the following (i) ( ) 3212 −−−     x , leaving your answer in the positive power. [2 marks] (ii) ( ) 12 73 42 32 −− −  zxy yx zy yx , giving your answer in the from rqp zyx , where p , q and r are rational numbers. [3 marks] …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… …………………………………………………………………………………………….…………… ………………