SEKOLAH MENENGAH KEBANGSAAN PULAU KETAMMID YEAR EXAMINATION 2012

MATHEMATICS FORM 3 PAPER 1 (1 HOUR 15 MINUTES)

NAME: _______________________________________ CLASS: 3_________________ This question paper consist of 40 questions. Answer all questions. Each question is followed by four alternative answers, A, B, C and D. For each question, choose one answer only. Blacken your answer on the objective answer sheet provided.

1. The number 175 489 is written as 200 000 after rounding off to theA. Nearest hundredB. Nearest thousandC. Nearest ten thousandD. Nearest hundred thousand

2. 6 is a factor of n and n is the factor of 96. What is the value of n?A. 54 C. 24B. 36 D. 16

3. Which of the following fractions has the largest value?

A.23

C. 59

B.16

D. 1118

4. 504 ÷ (18+3 )×24=¿A. 100 C. 638B. 576 D. 2016

5. (32−√16)3 =A. 25 C. 75B. 50 D. 125

6. Find sum of all the factors of 45.A. 63 C. 78B. 77 D. 103

7. At the end of a game, Halim has 69 marbles, which is 6 marbles less than Sheila but 18 more than Razak. How many marbles will each of them get if they share their marbles equally among themselves?A. 65 C. 73B. 68 D. 84

8. Azri took part in a quiz competition. He answered 75% of the questions correctly. He answered 4 questions incorrectly. Find the total number of questions in the quiz.A. 12 C. 20B. 16 D. 25

9. Puan Shanti deposited RM50000 in a bank with an interest rate of 7.5 % per annum. How much interest does she earn in 6 months?A. RM1250B. RM1875C. RM2500D. RM3750

10. The length of a red string is 5 m 20 cm. The length of a green

string is 34

of the length of the

red string. The length of a yellow string is twice the length of the green string. Calculate the total length, in m, of the green and yellow strings.A. 3.9 C. 11.7B. 7.8 D. 16.9

11. In Diagram 1, LMN is a straight line.

Diagram 1 The value of x is A. 30 C. 50 B. 40 D. 60

12. In Diagram 2, MR and PQRS are straight lines.

Diagram 2Find the value of x.A. 75 C. 125B. 120 D. 135

13. In Diagram 3, PQRSTUV is a heptagon.

Diagram 3

Find the value of x.A. 140 C. 145B. 144 D. 150

14. Diagram 4 shows a regular pentagon ABCOD. EFABGH are the vertices of another regular polygon.

Diagram 4

Find the number of sides of the larger polygon.A. 7 C. 9B. 8 D. 10

15. Diagram 5 shows a circle with centre O.

Diagram 5Given that arc PQ = arc QR, find the value of x + y.A. 132 C. 294

B. 200 D. 327

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16. In Diagram 6, PRSV is a parallelogram and STUV is a rectangle.

Diagram 6Given that QR = 3 cm, PQ = PV = UV and QST is a straight line. Calculate the perimeter, in cm, of the whole diagram.A. 52 C. 36

B. 44 D. 32

17. In Diagram 7, PQRV is a rectangle and STUV is a square. QRS is a straight line

Diagram 7

Calculate the area of the whole diagram in cm2.A. 166 C. 212

B. 198 D. 660

18. In Diagram 8, PQRS is a rectangle.

Diagram 8

Calculate the length, in cm, of TR.A. 11 C. 13

B. 12 D. 14

19. In Diagram 9, O is the centre of the semicircle and PORT is a straight line.

Diagram 9

Calculate the value of xA. 90 C. 126B. 108 D. 144

20. Diagram 10 shows a rectangle and two semicircles touching each other.

Diagram 10

Find the perimeter, in cm, of the shaded region.

[ Use π=227

]

A. 24 C. 35 B. 28 D. 61

21. Diagram 11 shows a trapezium ABCD.

Diagram 11

M is the midpoint of AD and AD = 6 cm. Calculate the perimeter, in cm, of the shaded region.A. 27 C. 32B. 30 D. 37

22. In Diagram 12, O is the centre of the circle and AOB is the diameter of the circle.

Diagram 12It is given that AB=10cm and BC=8cm. Find the area, in cm2, of the shaded region.

A. 252

π−24 C. 50

π−24

23. Diagram 13 shows a prism.

Diagram 13Which of the following is the net for the prism?

24. In Diagram 14, ACD is a triangle and ABC is an arc of the circle with centre D.

Diagram 14The area of the triangle ACD is 200 cm2.Calculate the length, in cm, of the arc ABC.A. 10 π C. 20 πB. 15 π D. 30 π

2

B. 252

π−40 D. 50

π−4025.

-15 P 0 Q 9The diagram shows a number line. What are the values of P and Q?

P Q

A. -12 6

B. -9 6

C. -12 3

D. -9 3

26. It is given that p : q : r = 2 : 5 : 9 and r – p = 63. What is the value of q and of r? q rA. 18 81B. 14 18C. 45 81D. 105 189

27. The ratio of the number of blue pens to the number of red pens is 4 : 9. The total number of pens is 364. Calculate the difference between the number of blue and red pens.A. 84 C. 140B. 112 D. 168

28. Table 1 below shows the number of books borrowed by a group of students from their school library.

Number of books

1 2 3 4 5

Frequency 5 8 2 x 7Table 1

The mean number of books borrowed by a student is 3. What is the value of x?A. 2 C. 5B. 4 D. 6

29. Table 2 shows the mass of a few students.

Mass (kg) 50

52 54 56 58

Number of students

2 3 x+4

5 7

Table 2Given that 54 kg is the mode mass, the possible value of x isA. 1 C. 3B. 2 D. 4

30.J K L M1.40 0.04 7.140 5.104

The diagram shows four number cards, J, K, L and M. which cards have digit 4 of the same value?

A. J and LB. J and MC. K and LD. K and M

31. Pie chart in Diagram 15 shows the production of four types of boxes P, Q, R and S in a factory.

Diagram 15

The frequency of the mode is 500. What is the difference between the frequency of box Q and box S?A. 25 C. 100B. 75 D. 360

32. Pictograph in Diagram 16, shows the number of tourists who visited a Beach resort in four months.

Diagram 16The percentage of tourists in March over the four months is 20. How many

must be drawn for June.A. 2 C. 4B. 3 D. 5

33. Diagram 17 shows four points marked on a Cartesian plane.

Diagram 17Which of the points A, B, C and D, represents (-1, 3)?

34. The ratio of Daniel’s age to Nathan’s age is 3:5. The ratio of Nathan’s age to Samad’s age is 2:1. Samad is 15 years old.

35. Calculate the midpoint of straight line joining the points P (-4, 2) and Q (6, -8).A. (-1, 3)

36. Factorise (k−3)2−4 (3−k ) .A. k (k−5 )B. k (k−9 )

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How old is Daniel?A. 10 C. 30B. 18 D. 45

B. (1, -3)C. (-5, 5)D. (5, -5)

C. (k−5 ) (k+1 )D. (k+1 )(k−3)

37. Diagram 18 is drawn on the Cartesian plane.

Diagram 18Straight line W’X’ is the image of straight line WX under an anticlockwise rotation of 90o. the coordinates of the centre of the rotation isA. (0, 0) C. (2, 0)B. (0, -1) D. (1,1)

38. Diagram 19 is drawn on the Cartesian plane.

Diagram 19Given PQ = 2QR. What is the value of m?A. 4 C. 9B. 6 D. 10

39. In Diagram 20, PTQ is a straight line. TUS and TVS are arcs of circles with centres P and R respectively and TWR and TXR are arcs of circles with centres Q and S respectively.

Diagram 20

Which of the points labeled A, B, C or D is more than 9cm from Q?

40. Diagram 21 shows a part of a circle with centre O.

Diagram 21Which of the following points A, B, C or D is the locus of a point that is 5 cm from O and 2 cm from T?

-END OF QUESTIONS-

Prepared by,

………………………………………..

Checked by,

………………………………………

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Cik Nurul A’in Binti Mohd HalidiMathematics Form 3 Teacher,SMK Pulau Ketam

En. Mohd Khazaain Bin RasidiHead of Mathematics Panel,SMK Pulau Ketam

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