1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH FINAL EXAMINATION 2022 MATHEMATICS PAPER 1 DATE: TIME : 21 st NOV 2022 1130 – 1230 (60 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. If working is needed for any question it must be shown in the space below that question. Omission of essential working will result in loss of marks. ELECTRONIC CALCULATOR IS NOT 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 9 printed pages including this page. Prepared by ： ……………………….. (MS. ANNY FOONG) Checked by： ………………………… (MR. ONG EIK HOOI)
2 1. In the diagram, ∠ = 90° , = 10 cm, = 4 cm, = 2 cm and = cm. Calculate a) the length of b) the value of 2 c) the area of triangle Answer: (a) ____________________ [2 m] (b) ____________________ [3 m] (c) ____________________ [2 m]
3 2. Simplify each of the following, expressing your answer in positive indices. a) 5 2 × (3 −1 2 ) −3 b) ( 3) 3(2) −2 (4)−2−5 Answer: (a) ____________________ [3 m] (b) ____________________ [3 m]
4 3. (a) In a sale, the original price of a television is reduced by 16% to $210. Calculate the original price of the television. (b) A book’s price in a bookstore is $26.75 with GST. Given that the GST imposed is 7%, find the marked price of the book. Answer: (a) ___________________ [3 m] (b) ____________________ [3 m]
5 4. (a) The diagram shows a dustbin where = 20 cm, = 30 cm, = 50 cm, = 18 cm and = 24 cm. Find the volume of one dustbin, in cm3 . Answer: ____________________ [4 m] (b) An open cylindrical can has a radius of 7 cm and a height of 8 cm. Taking to be 22 7 , find the total surface area of the can. Answer: ____________________ [3 m]
6 5. Express each of the following as a single fraction in its simplest form. a) 7 +5 + 2 (+5)(−2) b) 9 4+7 − 6 2−5 Answer: (a) ____________________ [2 m] (b) ____________________ [3 m]
7 6. (a) Thrice of Winston’s present age is six years less than his father’s present age. Five years ago, the father was seven times as old as Winston. Find the sum of their present ages. Answer: ____________________ [4 m] (b) The total cost of 4 adult tickets and 3 child tickets for a concert is $256. The total cost of 3 adult tickets and 1 child ticket is $162. Find the difference in cost of one adult ticket and one child ticket. Answer: ____________________ [4 m]
8 7. The scores in a Mathematics test of 20 students in a class are recorded and shown below. 26 24 22 31 45 47 36 45 23 34 40 29 32 25 29 32 43 29 26 33 a) Draw a stem-and-leaf diagram to represent the data. b) Find the most common mark obtained by the 20 students. c) Calculate the percentage of students who scored between 30 marks and 39 marks. d) A distinction grade is given to a student who scored above 35 marks. Find the fraction of students who scored a distinction. Answer: (a) Shown in space given [3 m] (b) ____________________ [1 m] (c) ____________________ [2 m] (d) ____________________ [1 m]
9 8. a) A cube of aluminium with side length of 4 cm has a mass of 192 g. Calculate its density in g/cm3 . b) A supermarket sells 10 kg of oranges for $12.25 and 8 kg of oranges for $9.56. Which of these would be the best value of money? Answer: (a) ____________________ [2 m] (b) ____________________ [2 m] END OF QUESTION PAPER
