soalan paper 2 daerah

8/7/2019 Soalan Paper 2 Daerah

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PROGRAM SKOR A PMR

2010

A) FACTORISE (PAPER 1)

1

1 Factorise completely each of the following expressiona) 9z 21b) 22z 18

[3 marks]2 Factorise completely each of the following expressions.

a) 3y 12+

b) 24x 16[3 marks]

3 Expand each of the following expressionsa) ( )q 2 p+

b) ( )2

3m n

[3 marks]

4 Simplify the following expressionsa) ( )2p 2 1 3p +

b) ( )22x 1 2x 3 + +

[3 marks]

5 Expand each of the following expressionsa) ( )p 3 p

b) ( ) ( )3 q q 2 4 q + +

[3 marks]


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B) ALGEBRAIC FORMULAE

1. Given that 2 ( p 3 ) = 5 , express p in terms of k.

kDiberi 2 ( p 3 ) = 5, ungkapkan p dalam sebutan k. ( 3 marks )k

2. Given 4y 3 = 2 , express y in terms of p.y + p

Diberi 4y 3 = 2, ungkapkan y dalam sebutan p. . ( 3 marks )

y + p

______3. Given that w = v + u , make u as the subject of the formula.

v_____

Diberi bahawa w = v + u , ungkapkan u sebagai perkara rumus ( 3 marks )v

4. Given that S = 1 m x h , change the subject S to x3

Tukarkan perkara bagi S = 1 m x h , kepada x3 ( 3 markah )

2


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Trapezium EFGH is the image of trapezium ABCD under transformation N.Describe in full transformation

3. Diagram 3 shows two triangles ABC and PQR on a Cartesian plane.

Triangle ABC is the image of triangle PQR under transformation S.Describe in full transformation S.

4

-4

DIAGRAM 2

x

y

2 4 6 8 10 12 14 166

2

4

6

8

10

O

C

A

BP

RQ

DIAGRAM 3


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4. Diagram 4 shows two trapezium ABCD and EFGH on a Cartesian plane.

Trapezium EFGH is the image of trapezium ABCD under transformation T.

Describe in full transformation T.

5

y

O

2

4

6

x2 4 6

-2

-4

E

F

G

H

A

D

L

B

C

DIAGRAM 4


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5. Diagram 5 shows two trapezium ABCD and EFGH on a Cartesian plane.

Trapezium EFGH is the image of trapezium ABCD under transformation U.

Describe in full transformation U.

6

y

x

H

E

J

x

G

F

C

BA

D

O-2 2 4 8

2

4

6

8

DIAGRAM 5


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D. ADDITIONAL EXERCISES FOR INDICES

No. Question

1.

Find the value of each of the following:Cari nilai yang berikut:

( 3322 8787

2( ) ( )32232 11101110

3

2

3

3

4

3

1

955

4

Simplify each of the following:Permudahkan setiap yang berikut:

3

1

31

2

3

1

222 hghg

5( )

1

2

3

2

1

2

1

3255

ppm

E. GEOMETRICAL CONSTRUCTIONS

7


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1 Set squares and protractors are notallowed in part (a) of this question.

Diagram shows a quadrilateral, JKLM(a) Using only a ruler and a pair of

compasses, construct quadrilateral

JKLM using the measurement given,beginning from the straight line KLprovided in the answer space.

(b) Based on the diagram constructed in(a), measure the length in cm, of JM.

[5 marks]

(a)

(b)

1. Set squares and protractors are notallowed in part (a) of this question.

Diagram shows a triangle, DEF(a) Using only a ruler and a pair of compasses, construct

triangle DEF using the measurements given, beginningfrom the straight line DE provided in the answer space.(b) Based on the diagram constructed in (a), measure the

DEF using a protractor.[5 marks]

(a)

8

150

J

K L

M

4 cm

K L

30

3 cm

D

E

F


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(b)

2. Set squares and protractors are notallowed in this question.

Diagram in the answer space shows a straight line AB. Using only a ruler and a pair ofcompasses,(a) construct a triangle ABC beginning from the straight line AB given that CAB=60

and AC=3 cm,(b) construct the perpendicular line to the line AB which passes through point C.

[ 5 marks]

(a) , (b)


Diagram shows a triangle, PQR(a) Using only a ruler and a pair of compasses,

construct triangle PQR beginning from thestraight line PQ provided in the answer space.

(b) Based on the diagram constructed in (a),measure the distance, in cm, between point Pand R.

[5 marks](a) , (b)

9

D

E

A B

120

P Q

R


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Diagram shows a triangle ABC.(a) Using only a ruler and a pair of compasses, construct

triangle ABC using the measurement given, beginningfrom A provided in the answer space.

(b) Based on the diagram constructed in (a), measure thelength, in cm of PR.

[5 marks]

(a) , (b)

10

P Q

4 cm

4 cm

45A B

C

A

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