ACSI 2013 Y3 Core Mathematics Paper 1

ACS(Independent)/Y3IPCoreMathsP1/2013/Final Year 1 Anglo - Chinese School (Independent) FINAL EXAMINATIONS 2013 YEAR 3 INTEGRATED PROGRAMME CORE MATHEMATICS PAPER 1 FRIDAY 4th OCTOBER 2013 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 numeric al 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 13 printed pages. [Turn over Candidate Index Number

ACS(Independent)/Y3IPCoreMathsP1/2013/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] Ann buys y erasers at $0.50 each and 4y pens at $1.20 each. She wishes to spend less than $40. (a) Form an inequality in y . [1 mark] (b) Solve the inequality and hence, find the largest possible value of y . [2 marks] ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… …………………………………………………………………………………………

ACS(Independent)/Y3IPCoreMathsP1/2013/Final Year 3 2 [Maximum mark: 6] (a) (i) Given that ym m   5 3 , express m in terms of y . (ii) Hence, find the value of m when 3y . [4 marks] (b) Simplify and express xx x 62 31 2   as a single fraction. [2 marks] ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… …………