1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH MID YEAR EXAMINATION 2023 MATHEMATICS PAPER 1 DATE : 15/06/2023 TIME : 0900-1000 (1 HOUR) NAME：______________________ REG NO: _________________ CLASS：J1YI, J1LI, J1AI INSTRUCTIONS ⚫ Answer all questions. ⚫ Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. ⚫ Write your name, register number and class on all the work you hand in. ⚫ Write your answer to each question in the space provided. ⚫ Do not use an erasable pen or correction fluid. ⚫ You are not allowed to use a calculator. ⚫ You must show all necessary working clearly. INFORMATION ⚫ The total mark for this paper is 50. ⚫ The number of marks for each question or part question is shown in brackets [ ]. This paper consists of 6 pages, including this cover page. Prepared by ： ………..…………….. (Mr. Pua Yong Cheng) Checked by： ………….…………….. (Mr. Ong Eik Hooi) Do Not Turn This Page Until You Are Told To Do So
2 1. Solve. a) 3 − 9 = 6 Answer (a) ……………… [2] b) 15 = −3 Answer (b) ……………… [2] c) +7 +9 = 15 19 Answer (c) ……………… [3] 2. Express each of the following as a single fraction in its simplest form. a) +5 4 + +8 5 Answer (a) ……………… [2] b) 5(+) 12 + 2− 3 Answer (b) ……………… [3]
3 3. Written as the product of its prime factors, 4356 = 2 × 3 × 11 a) Find the values of , and . b) Hence write down (i) the LCM of 4356 and 440, giving your answer as the product of its prime factors, (ii) the greatest integer that will divide both 4356 and 440 exactly. Answer (a) a =……; b = ……; c = …… [3] Answer (b) (i) ……………… [2] (ii) ……………… [2] 4. Trains to Perak leave a train station every 28 minutes. Trains to Penang leave a train station every 16 minutes. A train to Perak and a train to Penang both leave the train station at 8am. When will a train to Perak and a train to Penang both leave the train station at the same time? Answer ……………… [3]
4 5. Chloe has a bottle that contains 9 10 litre of apple juice. She pours out some apple juice and now has 1 4 litre left. How much apple juice did Chloe pour out? Answer ……………… [3] 6. The table below shows the temperature in a number of cities at noon on a particular day. Moscow Tokyo Singapore Yakutsk -6°C 5°C 32°C -41°C a) Which is the coldest city? b) Find the difference in temperature between: (i) Singapore and Moscow, (ii) Tokyo and Yakutsk, (iii) Moscow and Yakutsk. c) The temperature in Hong Kong is exactly midway between the temperatures in Singapore and Moscow. What is the temperature in Hong Kong? Answer (a) ……………… [1] Answer (b) (i) …………… [2] (ii) …………… [2] (iii) …………… [2] Answer (c) ……………… [3]
5 7. Estimate the value of each of the following, giving your answer correct to 1 significant figure. a) √82.88 b) 61.2 × 0.5045 c) √ 7.97 ×25.002 1.999 Answer (a) …………… [1] Answer (b) …………… [2] Answer (c) …………… [3] 8. Yang is x years old. His brother, Yeap, is 5 years younger than him. His mother is three times as old as he is. His father is 25 years older than Yeap. Write down an expression for a) Yeap’s age, b) His father’s age, c) His parent’s age. Answer (a) ……………. [1] Answer (b) ……………. [2] Answer (c) …………… [2]
6 9. ABC is a triangle in which AB = (5x - 2) cm, BC = (6x + 1) cm and AC = ( 3 2 + 4) cm. Given that the perimeter of triangle ABC is 53 cm, write an equation in terms of x and solve it to find the shortest side of the triangle. Answer ………………… [4] --- END OF PAPER --- ( 3 2 + 4) (5 − 2) (6 + 1) C B A
