SOALAN-SOALAN TERPILIH MATEMATIK PMR

(KERTAS 2)TINGKATAN 1 DAN 2

Disediakan oleh:

MODUL MATHEMATICS PMRSMK AGAMA JOHOR BAHRU

SITI HADIJAH BINTI MUSTAFA

Calculate the value of :

1. PMR 2005

4.26 x 0.8

211 and express the answer

correct to two decimal places.

2. PMR 2006

14 (-0.6) 32 .

3. PMR 2007

24 8 14

4. PMR 2009

15 411 + ( )16

5. PMR 2009

(6 0.24) 34 and express the answer correct to two decimal places.

2

1. INTEGERS / DIRECTED NUMBERS [2 Marks]

Calculate the value of :

1. PMR 2005

96 3(12 + 48 6)

2. PMR 2006

32

54

811 and express the answer as a

fraction in its lowest term.

3

2. WHOLE NUMBERS / FRACTIONS / DECIMALS [2 Marks]

3. PMR 2007

9.018.04

4. PMR 2008

31

53

25

and express the answer as a

fraction in its lowest term.

Calculate the value of :

1. PMR 2005

i. 3

41

( )23 272.4

2. PMR 2006

i. 49.0

3

11625

3. PMR 2007

i. 3 64

ii. 3

3621

4. PMR 2008

i. 3271

ii. ( )28116 4

3. SQUARES, SQUARE ROOTS, CUBES & CUBE ROOTS [3 Marks]

5. PMR 2009

i. 81.0 ii. ( )23 87 +

Solve each of the following equations:

1. PMR 2005

(a) 432 = nn

(b) 5732 kk =

Answer:

(a) (b)

2. PMR 2006

(a) 312 =n

(b) 3)1(2 += kk

Answer:

(a) (b)

3. PMR 2007

(a) 410 =+x

(b) xx =3

45

Answer:

(a) (b)

4. PMR 2008

(a) 115 =+p

(b) 2

31 += xx

Answer:

(a) (b)

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4. LINEAR EQUATIONS I [3 Marks]

5. PMR 2009

(a) 186 =k

(b) 72

34 =+ m

Answer:

(a) (b)

Simplify each of the following expressions:

1. PMR 2008

)5(32 qpqp + [2 marks]

Answer:

2. PMR 2009

(a) 3)5(2 +n

(b) )5()34(3 mkkm [3 marks]

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5. ALGEBRAIC EXPRESSIONS I & II [2 or 3 Marks]

Answer:

(a)

(b)

6. TRANSFORMATIONS

(a) On the diagram, draw the axis of reflection (2005)

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A. Reflections [2 Marks]

(c) On the diagram, draw the image of quadrilateral PQRS under a reflection in the y-axis. (2008)

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(b) On the diagram, draw the image of P under a reflection in the straight line MN. (2006)

B. Translations / Rotations [2 Marks]

(1) PMR 2005 [4 marks]

(a) Q is the image of P under a rotation of 90

the rotation.

(b) R is the image of P under transformation M. Describe in full transformation M.

Answer:

(a) (i)(ii)

(b)

H' is the image of H under transformation L.Describe in full transformation L.

Answer:

(3) PMR 2008 [2 marks]

C'D' is the image of CD under a rotation 180 about the point P. On the diagram, complete the image of trapezium ABCD.

A

D

B CP

C'

D'

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(ii) State the coordinates of the centre of (i) State the direction of the rotation.

(2) PMR 2006 [2 marks]

Day

1. PMR 2006

The table shows the profit from the sale of nasi lemak at a stall over five days

Day Monday Tuesday Wednesday Thursday Friday

Profit (RM) 32 40 24 28 28 Table 1

Draw a line graph to represent all the information in Table 1. Use the scale 2cm to RM8 on the vertical axis.

10

7. STATISTICS I [4 Marks]

Table 1 shows three activities participated by a group of 50 students.

Activities Number of studentsChess 24

Hockey MChoir 18

Table 1

(a) Find the value of M(b) Hence, represent all the data by drawing, a bar chart in the answer space

Answer:

(a)

(b)

1. PMR 2004 11

2. PMR 2007

8. SOLID GEOMETRY I & II [3 Marks]

The diagram shows a right pyramid with a square base.

Draw a full scale the net of the pyramid on the grid in the answer space. The grid has equal squares with sides of 1 unit.

2. PMR 2007 The diagram shows a prism. One of the surface of the net of the prism is drawn on a square grid with sides of 1 unit in the answer space.

Complete the net of the prism.

PMR 200712

9. LOCI IN TWO DIMENSIONS [5 Marks]

(a) Diagram 1 shows a rhombus MNOP.

Diagram 1

X is a moving point in the rhombus such that it is always equidistant from the straight lines PM and PO.

By using the letters in the diagram, state the locus of X.

(b) Diagram 2 in the answer space shows a regular hexagon ABCDEF. Y and Z are two moving points in the hexagon.

On diagram 2, draw(i) the locus of Y such that YD=DE,(ii) the locus of Z such that it is equidistant from point B and point F.

(c) Hence, mark with the symbol the intersection of the locus of Y and the locus of Z.

Answer:

(a)

(b) (i), (ii)

(c)

Diagram 2

PMR 2007

13

10. GEOMETRICAL CONSTRUCTIONS [5 Marks]

Diagram 3

Measure JKL in Diagram 3, using a protractor.

(b) Diagram 4 shows a quadrilateral MNPQ.

Diagram 4

(i) Using only a ruler and a pair of compasses, construct Diagram 4 using the measurements given. Begin from the straight lines MN and NP provided in the answer space.

(ii) Based on the diagram constructed in 10(b)(i), measure the length, in cm, of PQ.

Answer:

(a)

(b) (i)

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(a) Diagram 3 shows a triangle JKL.

(ii)

END OF QUESTION PAPER

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