1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH FINAL EXAMINATION 2022 MATHEMATICS PAPER 2 DATE: TIME : 25TH NOV 2022 0830 – 1000 (1 HOUR AND 30 MINUTES) NAME：______________________ REG NO:_________________ CLASS：J2YI / J2ZI READ THESE INSTRUCTIONS FIRST Write your name, class and student number on all the work you hand in. Write only in dark blue or black pen. Do not use correction fluid. Answer all the questions in the test pads provided. Omission of essential working will result in loss of marks. ELECTRONIC CALCULATOR IS ALLOWED TO BE USED IN THIS PAPER. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 50. Do Not Turn This Page Until You Are Told To Do So This paper consists of 4 printed pages including this page. Prepared by ： ……………………….. (MS. ANNY FOONG) Checked by： ……………………….. (MR ONG EIK HOOI)
2 Answer all the questions. 1. a) A curry puff costs $1.40. What is the maximum number of curry puffs that can be bought with $11? [2 m] b) Solve the inequality − 7 3 − 2 3 < 15 and find the following that satisfies the inequality. i. Smallest integer of [3 m] ii. Smallest odd number of [1 m] 2. a) If the interior angles of a hexagon are in the ratio 2 ∶ 3 ∶ 3 ∶ 4 ∶ 4 ∶ 4, find the smallest exterior angle. [3 m] b) In the figure, , and are the three adjacent sides of a regular 12-sided polygon. Calculate i. ∠ [2 m] ii. ∠ [3 m] 3. The length and height of a triangle are (9 − 15) cm and (4 + 3) cm. The area of the triangle is 744 cm2 . a) Form an equation in and show that it simplifies to 12 2 − 11 − 511 = 0. [2 m] b) Solve the equation 12 2 − 11 − 511 = 0 [3 m] c) Find the length and height of the triangle. [2 m]
3 4. Philip left home at 1000 and drove to Lucky Supermarket and returned home at 1300. The diagram below shows Philip’s distance-time graph. a) Calculate Philip’s speed on the journey from 1000 to 1040. [2 m] b) Calculate Philip’s speed on the journey from Lucky Supermarket to his home. [2 m] c) What was Philip’s average speed for the two-way journey? [2 m] 5. A bag contains some yellow, red and blue balls. When a ball is drawn at random from the bag, the probability of drawing a blue ball is 0.6 and the probability of drawing a red ball is 10% higher than that of a yellow ball. a) Find the probability of not drawing a blue ball. [1 m] b) Find the probability of drawing a yellow ball. [2 m] c) If there are 24 blue balls, find the number of red balls in the bag. [2 m]
4 6. Answer this question fully on a graph paper. Sally went to a carnival which had an entrance fee charge. In addition, she had to purchase separate carnival tickets to play the games at the carnival. The following table shows the amount of money, $, Sally spent after playing games at the carnival. 0 2 4 6 2 7 12 17 a) Using a scale of 2 cm to represent 1 unit on the -axis and 1 cm to represent 1 cm on the -axis, draw the graphs for 0 ≤ ≤ 6. [3 m] b) Using the graph, i. write down the total amount of money Sally spent to play 5 games [1 m] ii. state the -intercept of the line [1 m] iii. find the gradient of the line [2 m] c) Hence, write down the equation of the line. [1 m] 7. Given that = 3− 2 2 . a) Find the value of if = 4, = −2 and = 1 4 . [2 m] b) Express in terms , and . [2 m] 8. A cylindrical glass which is filled with water is shown in the diagram. Given that the height of the water filled is 75% of the glass’s height, a) Find the volume of the glass. [3 m] b) Find the total surface area of the tank that is in contact with water. [3 m] (Take = 3.142) END OF QUESTION PAPER - - - - - - - - -
