yee s2 2012.docx

SULIT

MALAYSIAN HEARTS, GLOBAL MINDS SULITMALAYSIAN HEARTS, GLOBAL MINDS

SULIT 50/2I pledge on my honour that I shall conduct myself honestly and truthfully throughout the examinations.____________________________ (Signature)

Name:_____________________________________ Secondary 2 _________________

50/2MatematikKertas 2Oktober20121 jamSEKOLAH SRI KDUKOTA DAMANSARA

YEAR END EXAMINATION 2012

MATHEMATICS

Paper 2

One hour forty-five minutes

DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO

1. This question paper consists of 20 questions.

2. Answer all questions.

3. Write your answers clearly in the spaces provided in the question paper.

4. Show your working. It may help you to get marks.

5. If you wish to change your answer, neatly cross out the answer that you had done. Then write down the new answer.

6. The diagrams in the questions are not drawn to scale unless stated.

7. The marks allocated for each question are shown in brackets.

8. The usage of calculator is not allowed.

9. This question paper must be handed in at the end of the examination________________________________________________________________________________This paper consist of 17 printed pages [Lihat sebelah]50/2 2012 S.M.Sri KDU SULIT Answer all questionsFor Examiners use

1. Calculate the value of 43 2(10 + 12 2). Answer : [ 2 marks ]

21

2. (a)Find the value of

(b)Evaluate

Answer : [ 3 marks ]

32

3. Diagram 1 shows a number line.For Examiners use

_____|______|_______|______|______|______|___ 1.5 3 P Q R Diagram 1 What is the value of P + Q - R?


23

4. Simplify each of the following:(a) 2t 3u t + 7u(b) 25 (- 5x)


34

[Lihat sebelah]

5. Solve the following:For Examiners use

(a) 2m + 5 = 17 (b) d 4 = d - 8Answer : [ 3 marks ]

35

6. Simplify: a) 3ab b) 2x + 4 = 3x 5(2x)


36

7. a)Simplify the ratio: RM2.50: RM1.50: 25 sen.For Examiners use

b)Find the ratio of p: q: r, given that p: q = 1:3 and q : r = 2:5.


37

8. Diagram 2 shows a straight line AB with midpoint M.

Diagram 2

State the coordinates of point M.


28

[Lihat sebelah]

9. Diagram 3 below shows two squares and a right-angled triangle attached together.For Examiners use

Diagram 3 Find, the area, in of the shaded region.


39

10. Diagram 4 shows two congruent quadrilaterals OLMN and OPQR. For Examiners use

Diagram 4 Find: a) the length, in cm, of PL, b) the angle ONM, and c) the area, in , of POQ.


310

[Lihat sebelah]

11. Diagram 5 is made up of a semi-circle with centre O and a rectangle LMNP.For Examiners use

Diagram 5

Find: a) the area, in terms of of the shaded region. b) the perimater, in terms of of the shaded region.

Answer: [ 4 marks ]

411

12. Diagram 6 in the answer space shows a Cartesian plane. a) On the Cartesian plane, plot the points P(-4, 5) and Q(8, 0). b) Find the distance of PQ. [ 3 marks ] For Examiners use

Answer: a) Diagram 6

b)

312

[Lihat sebelah]

13. Diagram 7 shows two trapeziums, H and H, drawn on a Cartesian plane. H is the image For Examiners use

H under a transformation K.

Diagram 7

Describe in full the transformation K.


313

14. Diagram 8 shows a circle with centre O with a right-angled triangle, PQR inscribed in theFor Examiners use

Circle.

Diagram 8

Find the area, in , of the shaded region. ( Take = 3.14 )


314

[Lihat sebelah]

15. Diagram 9 below shows a triangle PQR. For Examiners use

Diagram 9

a) Measure angle PQR using a protractor.b) The answer space below shows two straight lines, JK and KL. By using only a pair of compasses and a ruler, construct; (i) the line KN, the bisector of angle LKJ, (ii) the triangle KNJ such that KN = 8 cm. [ 4 marks ]

Answer : (a)

415

16. Diagram 10 in the answer space shows a quadrilateral PQRS drawn on a Cartesian plane. For Examiners use

On the diagram, draw the image of the quadrilateral PQRS under a reflection in the line MN.


Diagram 10

316

[Lihat sebelah]

17. Diagram 11 in the answer space shows a straight line XY drawn on a grid of equal squaresFor Examiners use

with sides of 1 unit. P and Q are two moving points in the diagram.

On the diagram, draw:

a) the locus of point P which moves such that it is always equidistant from the points X and Y, b) the locus of the point Q which moves such that its distance is constantly 6 units from the Y, c) Hence, mark with the symbol for all the intersections of the locus of P and the locus of Q. Answer: [ 4 marks ]

Diagram 11

417

18. Table 1 shows below shows the temperature of an isolated island every morning at 8 a.m. For Examiners use

from Monday to Friday. Table 1 On the diagram 12 provided in the answer space, draw a line graph to represent all the information in the table. Use the scale of 1 unit to C on the vertical axis.

Answer: [ 3 marks ]

Diagram12318

[Lihat sebelah]

19. Diagram 13 below shows a combined solid of a prism and a cuboid.For Examiners use

Diagram 13

a) Find the total surface area, in of the combined solid. b) Calculate the cost of painting the solid if it costs RM4.00 to paint one square metre. [ Use = ]

Answer: [ 4 marks ]419

20. Given that the length of the diagonals of a rhombus are 8 cm and 6 cm respectively.For Examiners use

Calculate the perimeter of the rhombus.

Answer:[ 2 marks ]

...End of Paper

Prepared by:Mr Anpalagan MariappenVerified by:Mr. PrakashApproved by:The Principal

220

- 16 -50/2 SULIT

yee s2 2012.docx

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