1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH FINAL EXAMINATION 2023 MATHEMATICS PAPER 2 DATE: TIME: 07TH NOV 2023 (TUESDAY) 0830 – 1000 (1 hour 30 minutes) NAME：______________________ REG NO: _________________ CLASS： J2PIN / J2AI / J2XIN / J2HE / J2LI 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 use a calculator where appropriate. 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 4 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) Solve the inequality [2] b) Express as a single fraction in its simplest form ( ) [2] c) Simplify [2] d) Solve the equation [2] 2. a) It is given that i) Find when and [1] ii) Express in terms of and [3] b) Simplify [3] c) An actual distance of between two points on a map is represented by a length of i) Find the scale of the map in the form of [1] ii) Given that a circular field has an area of on the map, calculate the actual diameter of the field in meters. [Use [3] 3. The diagram shows a park on a horizontal ground, crossed by a path is the midpoint of and AND a) Show that , correct to decimal place. [3] b) Find i) , [2] ii) [2]
3 4. The time taken, in minutes, by students to complete an e – learning assignment are given below. a) Construct a stem and leaf diagram to represent the time taken by all students. [3] b) Find the modal and median time taken by the class. [2] c) Find the mean time taken by the class. [2] d) Students who took less than half an hour to complete the e – learning assignment are told to re – do the assignment. Express, as a percentage, the number of students required to re – do the assignment. [1] 5. Answer the whole of this question on a sheet of graph paper. The variables and are connected by the equation Some corresponding values of and are given in the following table. a) Find the value of . [1] a) Using a scale of cm to represent unit on the horizontal axis and cm to represent units on the vertical axis, draw the graph of for [3] b) From the graph, find the i) equation of the line of symmetry, [1] ii) values of when [2] iii) coordinate of the minimum point. [1]
4 6. is a right angled triangle where angle is a right angle. The length of is ( ) the length of is ( ) and the length of is ( ) a) Use the diagram to form an equation involving and show that it reduces to [3] b) Solve the equation [2] c) Calculate the area of the triangle. [2] d) Find the exact value of . [1] End of Paper
