1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH SECOND MONTHLY TEST 2022 MATHEMATICS DATE: TIME: 15 AUGUST 2022 (MONDAY) 1405 – 1535 (1 Hour 30 Minutes) NAME：______________________ REG NO: _________________ CLASS: S2HE / S2QIN / S2AI / S2ZI / S2YI / S2PIN INSTRUCTIONS • Answer all the questions. • Write your name and student registration number in the boxes at the top of the page. • 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. • Write your answers in the spaces provided on the question paper. • You must show all necessary working clearly. Omission of essential working will result in loss of mark. • You should use a calculator where appropriate. INFORMATION • The total mark for this paper is 60. • 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 12 printed pages including cover page. Prepared by ： KOO KAR KEI ……………………… (MS. KOO KAR KEI) Checked by： ONG EIK HOOI …………………………… (MR. ONG EIK HOOI) For Examiner Used Section Question Full Mark Mark Obtained A 1-20 20 B 31 4 32 5 33 7 34 9 35 15 TOTAL 60
2 Section A [20 marks] Answer all questions in this section. 1. Round off 59735 correct to three significant figures. A 597 B 59700 C 59740 D 59800 2. Simplify (a − b)(a + 2b) − (2b − a) 2 = A 2a− 3ab + 2b 2 C 5ab − 6b 2 B −2a + 3ab − 2b 2 D 6b 2 − 5ab 3. Which of the following quadratic functions does not have a minimum point? A () = 2 − 3 − 1 C () = 2 + 7 + 5 B () = −3 + 2 D () = 4 + − 2 2 4. Encik Zainal deposits RM 13000 in Bank ABC at a simple interest rate of (x – 2) % per annum. Calculate the value of x years is RM 14950. A 3 B 4 C 5 D 6 5. State the value of digit 3 in the number 5316, in base ten. A 9 B 18 C 36 D 108 6. 2548 + 448 = A 3168 B 3208 C 3348 D 3408 7. Given set = {: is an integer, 40 ≤ <50}, set R = { : is an even number}, set S = { : is a number where the difference between its two digits is less than 3} and set T = { : is a multiple of 4}. List the element of ( ∪ ) ∩ ′. A {48} B {40, 48} C {44, 48} D {40, 44, 48}
3 8. In Diagram 1, PQRSTUVW is a regular octagon. WRM and WTN are straight lines. Find the value of x. A 70° B 80° C 90° D 100° 9. Which negation of the following statements is false? A -4 is an even number C 125 is a perfect cube B 51 is a prime number D √10 is a rational number 10. Diagram 2 shows the shaded region is satisfy by three linear inequalities represents by three straight lines. The three inequalities are A ≥ 2, ≥ 6 − , > C ≥ 2, ≤ 6 − , < B > 2, > 6 − , < D ≥ 2, > 6 − , > 11. Which point satisfies the linear inequalities 4 ≤ 3 + 8 and + ≥ 7? A (4,1) B (2,4) C (4,7) D (7,4) N M T R 55° P Q W V U S 6 0 x y 6 2 x
4 12. Which of the directed graph would best suit the information below? A B 13. Diagram below shows a speed-time graph of a journey of a journey of a four-wheel drive to a place. If the total journey is 336 km, calculate the value of k. A 2.5 B 2.8 C 3.2 D 3.5 • () = 1, () = 2 • () = 1, () = 1 • () = 2, () = 2 • () = 2, () = 1 • RS is a multiple edge. C D Speed (km/h) Time (hour) 84 126 k 4.2 0
5 14. The following is a set of data. Each number in the set of data is multiplied by 2 and then 3 is subtracted from it. What is the interquartile range? A 7 B 10 C 14 D 17 15. Below is the given information: Σ = 45 , Σ 2 = 289 , = 8 Find the standard deviation for the data above. A 2.118 B 4.484 C 5.522 D 6.010 16. A box contains 5 red marbles and x green marbles. The probability of drawing a red marble is 5 11 . Find the value of x. A 5 B 6 C 7 D 8 17. The probability that Simon passes History test and Geography test are 0.66 and 0.58 respectively. What is the probability that he will pass exactly one test? A 0.1972 B 0.2244 C 0.3828 D 0.4744 18. The diagram shows the distance-time graph of a truck in a period of five hours. Find the speed, in km/h, of the truck in the first two hours. A 23.75 B 37.5 C 60 D 76 Distance (km) 0 Time (hour) 380 80 5 2 4 6 7 13
6 19. The diagram shows a dot plot of the lengths, in cm, of samples of several leaves. What is the difference in length between the longest and the shortest leaf? A 2.3 B 1.6 C 3.2 D 2.6 20. Tree G have 6 vertices with the degrees 1, 2, 3, 2, 1 and x. Calculate the value of x. A 1 B 2 C 3 D 4 Answer for Section A 1. 6. 11. 16. 2. 7. 12. 17. 3. 8. 13. 18. 4. 9. 14. 19. 5. 10. 15. 20.
7 Section B [40 marks] 21. Bryan cannot remember the cost price of all the items sold in his store. To avoid the customers from knowing the cost prices, he writes the cost price of each item in base four. Table below shows the labelled cost of some of items and the profit Bryan intends to make. Goods Labelled cost price Profit 1 packet of 3kg chocolate malt RM 132 RM 5.00 1 bag of 10kg fragrant rice RM 231 RM 7.00 What is the selling price per unit for each item? [4] 22. The table below shows the marks obtained by two students, Hamid and Umair, in some Mathematics tests. Students Marks Hamid 83,65, 61, 56, 63, 66 Umair 64, 73, 59, 60, 61, 77 (a) Find the mean and standard deviation of Hamid’s marks and Umair’s marks. [3] (b) Whose performance is more consistent? Explain. [2]
8 23. (a) State whether the following compound statement is true or false. -6 > 2 and (−3) 3 = −27 [1] (b) Write down the contrapositive of the following implication and hence determine the truth value. > ,ℎ − < 0 [2] (c) Write down Premise 2 to complete the following argument. Hence, determine whether the argument is valid and sound. Premise 1: All equilateral triangles have equal interior angles. Premise 2: Conclusion: ABC has equal interior angles. [2] (d) Write two implications based on the following sentence. 2 − 3 = 7 if and only if = 5 Implication 1: Implication 2: [2]
9 24. (a) The frequency table below shows the time in seconds, recorded by 20 participants in a qualifying round of a swimming competition. Represent the data with a frequency polygon by using a scale of 2 cm to 5 seconds on the horizontal axis and 2 cm to 2 participants on the vertical axis. Time recorded (s) 50 - 54 55 - 59 60 - 64 65 - 69 70 - 74 Number of participants 2 3 6 5 4 Graph for question 24(a) [5]
10 (b) The diagram below shows two histograms of Mathematics test marks obtained by two groups, Arif and Bestari. (i) State the distribution shape of the histogram for the two groups. [2] (ii) Which group shows better results? Give your reason. [2]
11 25. (a) Based on the simple graph in the diagram below, determine (i) V and n(V), [2] (ii) E and n(E), [2] (iii) Sum of degree. [2] (b) Draw a directed graph according to the information given. V= {F, G, H, I, J, K, L} E= {(F, G), (F, H), (H, G), (H, J), (J, G), (J, K)} [3] 4 3 2 5 1 6 5
12 (c) Cepat Sekali company operates a goods delivery service between city A and five other cities. To provide the fastest service at a minimum travel cost, the company must use the shortest route. Based on the diagram below, tabulate the shortest route and distance from city A to every other city. [6] ---END OF THE PAPER--- 80 45 50 55 21 19 23 65 38 45 D F C E B A
