2024 Y6 Timed Prac Rev Paper 5 (Qns)

 RI2023   [Turn over                 CANDIDATE NAME   CLASS 23   MATHEMATICS 9758 3 hours Candidates answer on the Question Paper Additional Materials: List of Formulae (MF26) READ THESE INSTRUCTIONS FIRST Write your name and class on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all the questions. Write your answers in the spaces provided in the question paper. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved graphing calculator is expected, where appropriate. Unsupported answers from a graphing calculator are allowed unless a question specifically states otherwise. Where unsupported answers from a graphing calc ulator are not allowed in a question, you are required to present the mathematical steps using mathematical notations and not calculator commands. 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 100.   FOR EXAMINER’S USE  Section A: Pure Mathematics TOTAL Q1  Q2  Q3  Q4  Q5  Q6  Subtotal                                100  Section B: Statistics           Q7  Q8  Q9  Q10  Q11  Subtotal           5          7            7           8           13            40    This document consists of 26 printed pages.   RAFFLES INSTITUTION Mathematics Department RAFFLES INSTITUTION 2023 YEAR 6 COMMON TEST     4                10             10              11              12             13              60            2024 Y6 H2 Math Timed Practice Revision Paper 5:      The solution will be released in Ivy on 17 June (Monday)

2   H2 MA 9758/2023 RI Year 6 Common Test   Section A: Pure Mathematics [60 marks] 1 The points A, B and C have position vectors ,a b and c respectively. The points A and B are fixed while C varies. (a) Given that ,a b and c are non-zero vectors such that () ()ca b b ca , find the relationship between ()ca  and b . [2]

3 H2 MA 9758/2023 RI Year 6 Common Test [Turn over   (b) Hence describe geometrically the set of all possible positions of the point C. [2]

4   H2 MA 9758/2023 RI Year 6 Common Test   2 Complete the square for 229 5 .xx    [1] The function f is defined by 2f : 2 9 5 , for .