ACSI 2015 Y3 Core Mathematics Paper 1

ACS(Independent)/Y3IPCoreMathsP1/2015/Final Year 1 Anglo - Chinese School (Independent) FINAL EXAMINATIONS 2015 YEAR 3 INTEGRATED PROGRAMME CORE MATHEMATICS PAPER 1 FRIDAY 2nd OCTOBER 2015 1 h 30 min Additional Material Graph Paper (1 sheet) 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 numeri cal 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 14 printed pages. [Turn over Candidate Index Number

ACS(Independent)/Y3IPCoreMathsP1/2015/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: 7] (a) Simplify 5 104532 ba . [2 marks] (b) Simplify 3 2 14 4 2             pq p p q , leaving your answer in positive indices. [3 marks] (c) Express abba 42 3 2 5  as a single fraction in its simplest form. [2 marks] ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… …………………………………………………………………………………………

ACS(Independent)/Y3IPCoreMathsP1/2015/Final Year 3 2 [Maximum mark: 4] The height, h metres, of the water sprayed from a fountain is given as 742  xxh , where x metre is the horizontal distance of the water from the fountain. Find the greatest height of the water sprayed and the horizontal distance from the fountain when this occurs. ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………