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PROGRAM `KAMI JUARA´ ANJURAN BERSAMA SMK (A) SYARIFAH RODZIAH DAN SMK DANG ANUM SOALAN-SOALAN TERPILIH MATEMATIK PMR (KERTAS 2) TINGKATAN 1 DAN 2 Tarikh: 16 MAC 2010 (1.45 PM – 3.45 PM) Tempat: DEWAN SMK (A) SYARIFAH RODZIAH, MELAKA. Disediakan oleh: EN. NOOR MAZWAN BIN ABDULLAH

# Soalan Terpilih Matematik Pmr Tingkatan 1&2 Kertas 2

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PROGRAM `KAMI JUARA´ANJURAN BERSAMA SMK (A) SYARIFAH RODZIAH

DAN SMK DANG ANUM

SOALAN-SOALAN TERPILIH MATEMATIK PMR

(KERTAS 2)TINGKATAN 1 DAN 2

Tarikh:16 MAC 2010

(1.45 PM – 3.45 PM)

Tempat:DEWAN SMK (A) SYARIFAH RODZIAH, MELAKA.

Disediakan oleh:EN. NOOR MAZWAN BIN ABDULLAH

SMK Dang Anum, Merlimau, Melaka

1. INTEGERS / DIRECTED NUMBERS (05, 06, 07, 09) – [2 Marks]

Calculate the value of :

1. PMR 2005

4.26 x 0.8 –

2

correct to two decimal places.

2. PMR 2006

14 – (-0.6) ÷ 3

2 .

3. PMR 2007

– 24 ÷ 8 – 14

4. PMR 2009

15 ÷ 4

11 + ( )16−

5. PMR 2009

(6 – 0.24) ÷ 3

4 and express the answer correct to two decimal places.

2

2. WHOLE NUMBERS (05) / FRACTIONS (06, 08) / DECIMALS (07) – [2 Marks]

Calculate the value of :

1. PMR 2005

96 – 3(12 + 48 ÷ 6)

2. PMR 2006

−×

3

2

5

4

8

11 and express the answer as a

fraction in its lowest term.

3

3. PMR 2007

9.0

18.04 ×

4. PMR 2008

−×

3

1

5

3

2

5 and express the answer as a

fraction in its lowest term.

3. SQUARES, SQUARE ROOTS, CUBES & CUBE ROOTS (05, 06, 07, 08 & 09) – [3 Marks]

Calculate the value of :

1. PMR 2005

i. 3

4

1

( )23 272.4 ÷

2. PMR 2006

i. 49.0

3

116

25

3. PMR 2007

i. 3 64−

ii. 3

362

1

×

4. PMR 2008

i. 3

27

1−

ii. ( )28116 −

4

5. PMR 2009

i. 81.0 ii. ( )23 87 −+

4. LINEAR EQUATIONS I (05, 06, 07, 08, 09) – [3 Marks]

Solve each of the following equations:

1. PMR 2005

(a) 432 −= nn

(b) 5

732

kk

−=

(a) (b)

2. PMR 2006

(a) 312 =n

(b) 3)1(2 +=− kk

(a) (b)

3. PMR 2007

(a) 410 =+x

(b) xx =−3

45

(a) (b)

4. PMR 2008

(a) 115 −=+p

(b) 2

31

+=− xx

(a) (b)

5

5. PMR 2009

(a) 186 −=k

(b) 72

34 =+ m

(a) (b)

5. ALGEBRAIC EXPRESSIONS I & II (08, 09) – [2 or 3 Marks]

Simplify each of the following expressions:

1. PMR 2008

)5(32 qpqp +−− [2 marks]

2. PMR 2009

(a) 3)5(2 −+n

(b) )5()34(3 mkkm −−− [3 marks]

6

(a)

(b)

6. TRANSFORMATIONS A. Reflections (05, 06, 07, 08 & 09) – [2 Marks]

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

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

7

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

B. Translations (05, 06) / Rotations (05, 08) – [2 Marks]

8

(1) PMR 2005 [4 marks]

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

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

the rotation.

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

(a) (i)(ii)

(b)

PMR 2006 [2 marks]

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

(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'

7. STATISTICS I (06, 07, 09) – [4 Marks]

9

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.

2. PMR 2007

10

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

Activities Number of students

Chess 24

Hockey M

Choir 18 Table 1

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

(a)

(b)

8. SOLID GEOMETRY I & II (04, 07) – [3 Marks]

1. PMR 2004 11

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.

9. LOCI IN TWO DIMENSIONS (05, 06, 07, 08, 09) – [5 Marks]

PMR 2007

12

(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.

(a)

(b) (i), (ii)

(c)

Diagram 2

10. GEOMETRICAL CONSTRUCTIONS (05, 06, 07, 08, 09) – [5 Marks]

PMR 2007

13

(a) Diagram 3 shows a triangle JKL.

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.