1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH MID – YEAR EXAMINATION 2023 MATHEMATICS PAPER 1 DATE: TIME: 17TH JUNE 2023 (SATURDAY) 1015 – 1115 (1 hour) NAME：______________________ REG NO: _________________ CLASS： J3YI, J3HE, J3XIN INSTRUCTIONS Write your name, register number and class on all the work you hand in. Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. Do not use an erasable pen or correction fluid. Answer all questions. You should NOT use a calculator for this paper. You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. The number of marks for each question or part question is shown in brackets [ ]. The total mark for this paper is 50. This paper consists of 8 pages, including this cover page. Prepared by ： ………..…………….. (Ms. Darchinie) Checked by： ……………………….. (Mr. Ong Eik Hooi) Do Not Turn This Page Until You Are Told To Do So
2 1. a) Simplify [2] Answer :____________________ b) Factorise completely. [2] Answer :____________________ c) Make the subject of the equation [3] Answer :____________________
3 2. a) Express as a single fraction. [3] Answer :____________________ b) Given that , find the value of [3] Answer :____________________ 3. Evaluate the following and leave your answers in standard form. a) , [2] Answer :____________________ b) , [2] Answer :____________________
4 c) . [2] Answer :____________________ 4. a) Solve √ [3] Answer :____________________ b) Find the value of for which √ √ [3] Answer :____________________
5 5. a) Express in the form [3] Answer :____________________ b) Hence, solve the equation [2] Answer :____________________ c) Sketch the graph on the axes provided, labelling your turning point, intercepts and intercept clearly. [3]
6 6. A hard disk has a memory capacity of 2 terabytes. a) If a low – resolution photograph takes up about kilobytes, how many million photographs can be stored in the hard disk? [3] Answer :____________________ b) If the hard disk is to store video clips with capacity of megabytes each, how much capacity is left in the disk? Give your answer in standard form, correct to s.f. [3] Answer :____________________
7 7. Simplify a) , [2] Answer :____________________ b) ( ) , [2] Answer :____________________ c) √ √ . [2] Answer :____________________
8 8. a) Jenny solves the equation as shown below. [Take square roots on both sides] Do you agree with Jenny’s solution? Explain your answer. [2] Answer :_____________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ b) Hence, solve the equation [3] Answer :____________________ End of Paper