NJC_9758_2022_Promo_QP

11* © NJC 2022 19[Turn_over NATIONAL JUNIOR COLLEGE SENIOR HIGH 1 Promotional Examinations NAME SUBJECT CLASS 1ma2 REGISTRATION NUMBER H2 MATHEMATICS 9758 3 October 2022 3 hours Candidates answer on the Question Paper. Additional Materials: List of Formulae (MF26)

226 © NJC 2022 READ THESE INSTRUCTIONS FIRST This paper constitutes 50% of your overall score for SH1 H2 Mathematics. Write your name, class and registration number in the boxes above. Please write clearly and use capital letters. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use 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 calculator 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. Up to 2 marks may be deducted for improper presentation. The number of marks is given in the brackets [ ] at the end of each question or part question. Question Number Marks Possible Marks Obtained 1 3 2 6 3 6 4(a) 4 4(b) 3 5 8 6 9 7 10 8 12 9 12 10 15 11 12 Presentation Deduction – 1 / –2 TOTAL 100 This document consists of 23 printed pages and 5 blank pages.

33* © NJC 2022 39[Turn_over 1 Ben, Caleb and Dylan went to the supermarket in the morning to buy salmon, tuna and swordfish. Ben paid $246 for 2 kg of salmon, 1 kg of tuna and 3 kg of swordfish. Caleb bought 1 kg of salmon and 1 kg of swordfish. Caleb paid $18 more than Dylan w ho bought 1 kg of tuna. After 12pm, a discount of 15%, 10% and 5% is given for salmon, tuna and swordfish respectively such that the total cost of 1 kg of salmon, 1 kg of tuna and 1 kg of swordfish after discount is $123.30. Find the selling price of 1 kg of salmon, tuna and swordfish respectively before discount. [3] 2 (a) The diagram shows the graph of  gyx with a stationary point of inflexion at  0,3 and a maximum point at  4,5 . The asymptotes of the graph are 2x and 3.y On a separate diagram, sketch the graph of g ( )yx  , labelling the equations of any asymptotes and the coordinates of any points where the curve crosses the axes. [3] O x y

446 © NJC 2022 2 (b) The diagram shows the graphs of  hyx and   1 hyq xp  , where p and q are constants. The curve