Ceramah Sharod
Transcript of Ceramah Sharod
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PROGRAM `KAMI JUARAANJURAN BERSAMA SMK (A) SYARIFAH RODZIAH
DAN SMK DANG ANUM
SOALAN-SOALAN TERPILIHMATEMATIK 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
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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
21
1 and express the answer
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
4and express the answer correct to two decimal places.
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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
32
54
81
1 and express the answer as a
fraction in its lowest term.
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3. PMR 2007
9.018.04
4. PMR 2008
3
1
5
3
2
5and 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
11625
3. PMR 2007
i. 3 64
ii.3
362
1
4. PMR 2008
i. 3271
ii. ( )28116
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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 k k =
Answer:
(a) (b)
2. PMR 2006
(a) 312
=
n(b) 3)1(2 += k k
Answer:
(a) (b)
3. PMR 2007
(a) 410 =+ x
(b) x x =
345
Answer:
(a) (b)
4. PMR 2008
(a) 115 =+ p
(b)2
31
+= x x
Answer:
(a) (b)
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5. PMR 2009
(a) 186 =k
(b) 72
34 =+ m
Answer:
(a) (b)
5. ALGEBRAIC EXPRESSIONS I & II (08, 09) [2 or 3 Marks]
Simplify each of the following expressions:
1. PMR 2008
)5(32 q pq p + [2marks]
Answer:
2. PMR 2009
(a) 3)5(2 +n
(b) )5()34(3 mk k m [3marks]
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Answer:
(a)
(b)
6. TRANSFORMATIONSA. 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)
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(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]
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(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.
Answer:
(a) (i)(ii)
(b)
PMR 2006 [2 marks]
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 180about the point P . On the diagram, completethe image of trapezium ABCD.
7. STATISTICS I (06, 07, 09) [4 Marks]9
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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 thevertical axis.
2. PMR 2007
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Table 1 shows three activities participated by a group of 50 students.
Activities Number of studentsChess 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
Answer:
(a)
(b)
8. SOLID GEOMETRY I & II (04, 07) [3 Marks]
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1. PMR 2004The 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 withsides of 1 unit.
2. PMR 2007The diagram shows a prism. One of the surface of the net of the prism is drawn on a square grid with sidesof 1 unit in the answer space.
Complete the net of the prism.
9. LOCI IN TWO DIMENSIONS (05, 06, 07, 08, 09) [5 Marks]
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PMR 2007
(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 PMand 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
10. GEOMETRICAL CONSTRUCTIONS (05, 06, 07, 08, 09) [5 Marks]
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(ii)
END OF QUESTION PAPER
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