1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH MID YEAR EXAMINATION 2022 MATHEMATICS PAPER TWO DATE: TIME : 13 APRIL 2022 (WEDNESDAY) 0830 - 1000 (1 Hour 30 Minutes) NAME：______________________ REG NO:_________________ CLASS: S2HE / S2QIN / S2AI / S2ZI / S2YI / S2PIN 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 and student registration number in the boxes at the top of the page. Write your answer to each question in the space provided. Do not use an erasable pen or correction fluid. You should use a calculator where appropriate. You must show all necessary working clearly. 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. For , use either your calculator value or 3.142. INFORMATION The total mark for this paper is 70. The number of marks for each question or part question is shown in brackets [ ]. Do Not Turn Over This Page Until You Are Told To Do So This paper consists of 10 printed pages including cover page. Prepared by ： ………………… (MS. KOO KAR KEI) Checked by： ………………… (MR.ONG EIK HOOI) Koo Ong
2 1. The number of passengers on a train decrease from 107 to 63. Find the percentage decrease. [1] 2. Complete these statements. a) When w = ______________ , then 10w = 70. [1] b) When 5x = 15, then 12x =______________. [1] 3. Calculate the area of a circle with radius 5.1cm. [2] 4. When sin x° = 0.36, find a. the acute angle x° [1] b. the obtuse angle x°. [2] 5. A is the point (2, 1) and B is the point (9, 4). Find the midpoint of AB. [2]
3 6. A and B are two towns on a map. The bearing of A from B is 140°. Work out the bearing of B from A. [2] 7. Without using your calculator, work out 2 7 + (3 1 4 ÷ 1 11 ). Write down all the steps of your working. [4] 8. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he receives. Give your answer correct to the nearest dollar. [3]
4 9. (a) Write 30 as a product of its prime factors. [2] (b) Find the lowest common multiple (LCM) of 30 and 45. [2] 10. Andre has more money than Bob. If Andre gave Bob $20, they would have the same amount. While if Bob gave Andre $22, Andre would then have twice as much as Bob. How much does each one actually have? [5]
5 11. Triangle ABC is similar to triangle DEF. Calculate the value of (a) x, [2] (b) y, [2] 12. Factorise completely. (a) yp + yt + 2xp + 2xt [2] (b) 7(ℎ + ) 2 − 21(ℎ + ) [2]
6 13. Five numbers have a mean of 9.4 . Four of the numbers are 3, 5, 10 and 12. Work out the range of the five numbers. [4] 14. The diagram shows a sketch of the graph of = 2 + + . Find the values of a, b and c. [5]
7 15. () = 3 − 2 () = 2 +1 , ≠ 1 Simplify (2) − (2 + 1). [3] 16. Write as a single fraction in its simplest form. 3 + 2 − 4 2 − 5 [3]
8 17. The diagram shows the front face of a barn. The width of the barn is 12m. The height of the barn is 8m. The sides of the barn are both of height 5m. (a) Work out the area of the front face of the barn. [3] (b) The length of the barn is 15m. Work out the volume of the barn. [2]
9 18. f() = 2 + 4 − 6 f(x) can be written in the form ( + ) 2 + . Find the value of m and the value of n. [3] 19. The area of triangle PQR is 38.52 . Calculate the length QR. [5]
10 20. y is directly proportional to the square root of (x - 4) When x = 20, y = 3. Find the exact value of x when y=2. [3] 21. An equilateral triangle has sides of length 6.2 cm, correct to the nearest millimetre. Complete the statement about the perimeter, P cm, of the triangle. ….…………….≤ P < ……………….. [3] -----END OF PAPER----
