ACSI 2021 Y3 Core Mathematics Paper 1

ACS(Independent)MathDept/Y3IPCoreMathPaper1/2021/FinalExamination Anglo - Chinese School (Independent) FINAL EXAMINATION 2021 YEAR 3 INTEGRATED PROGRAMME CORE MATHEMATICS PAPER 1 Friday 1st October 2021 1 hour 30 minutes Candidates answer on the Question Paper. No additional materials are required. 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. _________________________________________________________________________ This paper consists of 15 printed pages and 1 blank page. [Turn over For Examiner’s Use Candidate Index Number

ACS(Independent)/Y3IPCoreMathP1/2021/FinalExamination 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: 9] (a) Evaluate 34 33 33 4 − − − . [3 marks] (b) Make q the subject of the formula, 32 .5 qpp q −= + [3 marks] (c) Factorise 3 2 2 2 12 4 3x x y xz yz− − + completely. [3 marks] ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ............................................................................................................[Working may be continued next page]

ACS(Independent)/Y3IPCoreMathP1/2021/FinalExamination 3 [Continuation of working space for Question 1] ........................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................................ ........................................................................................................................................................