RI 9758/01 Prelim 2023

 RI2023   [Turn over                 CANDIDATE NAME   CLASS 23     MATHEMATICS 9758/01 Paper 1 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 signifi cant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. You are expected to use an approved graphing calculator. Unsupported answers from a graphing calculator are allowed unless a questi on specifically states otherwise. Where unsupported answers from a graphing calculat or are not allowed in a question, you are required to present the mathematical steps usi ng 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 Q1  Q2  Q3  Q4  Q5  Q6  Q7 4  4  4  5  8  9  10 Q8  Q9  Q10  Q11  Q12  Total 10  10  11  12  13                               100    This document consists of 23 6 printed pages and 1 blank page.   RAFFLES INSTITUTION Mathematics Department RAFFLES INSTITUTION 2023 YEAR 6 PRELIMINARY EXAMINATION

2   H2 MA 9758/2023 RI Year 6 Preliminary Examination Paper 1  1 Without using a calculator, solve the inequality 2 95 .11 x xx  [4]   2 Griffles popcorn is available in bags of 3 sizes: small, medium and large. At the Griffles physical store, Amanda bought 3 small, 7 medium and 1 large bag of Griffles popcorn and paid a total of $85.50 after enjoying a 5% discount off the usual selling price. Beatrice found out that at the Griffles onlin e store, for every 2 bags of the same size purchased at the usual selling price, a customer will receive an additional bag of the same size free. Beatrice paid $18.50 less than Amanda at the Griffles online store and received 3 small bags, 7 medium bags and 1 large bag of Griffles popcorn, inclusive of the free bags. Given that the usual selling price of a large ba g of Griffles popcorn is 2.4 times that of a small bag of Griffles popcorn, write down and solve equations to find the usual selling price of a bag of Griffles popcorn for each of the sizes. [4]   3 The volume of a sphere with radius