Soalan Ramalan Peperiksaan
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Transcript of Soalan Ramalan Peperiksaan
SULIT 4
Answer all questions
1 Round off 238 567 to the nearest thousands.
A 238 500
B 238 600
C 239 000
D 240 000
2 Table 1 shows the list of items bought by Ahmad from a sundry shop.
Table 1
If he pays the shopkeeper with a fifty ringgit note, what is the change he should receive?
A RM35
B RM31
C RM19
D RM15
3 In a Mathematics test, Yusdi scored 80 marks whereas Azlan’s score was
of Yusdi’s score. The ratio of Yusdi’s score to Azlan’s score is
A 3 : 5
B 5 : 8
C 5 : 2
D 5 : 3
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
Item Quantity Price per unit
Cooking oil 1 bottle RM13
Curry powder 4 packets RM4
Potato 3 kg RM2
SULIT 5
4 Diagram 1 shows all the factors of 42.
Diagram 1
Which of the factors are prime factors?
A 1, 2, 3, 7
B 2, 3, 7
C 1, 3, 7
D 1, 2, 3, 7, 21
5
Based on the above number sequence, the value of p is
A 16
B 17
C 18
D 19
6 Given that . The value of f is
A 5
B 25
C 50
D 250
7 Diagram 2 shows a number line.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
7
1
221
36
14
42
– 3 – 2 – 1 0 1
A B C D
1, 3, 6, 11, p, 29, …
SULIT 6
Diagram 2
In which of the regions labelled A, B, C or D, is situated?
8 In an express bus of 40 passengers, are female. of the female and of the
male are children. How many children are there in the bus?
A 10
B 12
C 14
D 24
9 Tajudin painted two identical rooms and took hours to paint each room. If he
started painting the first room at 9.30 a.m and took 45 minutes break in between, at what time did he complete painting the second room?
A 1430
B 1545
C 1515
D 1555
10 A string of length 2.90 m is used to tie 6 parcels. The string used for each parcel is equal in length.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
SULIT 7
If 38 cm of the string is left after all the parcels have been tied, calculate, in cm, the length needed for each parcel.
A 40
B 41
C 42
D 45
11 In a cross country race, 20% of participants were disqualified. If 64 participants are allowed to complete the run, how many participants took part in the race?
A 80
B 86
C 90
D 94
12 Pak Din was paid RM 222.00 for 12 working days. How much will he receive for 20 working days?
A RM111.00
B RM133.20
C RM270.00
D RM370.00
13 In Diagram 3, KLM and PLN are straight lines.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
N70o
30o
yo
xoxo
K
L
M
P
Q
SULIT 8
Diagram 3
Find the value of y.
A 40
B 100
C 110
D 140
14 Diagram 4 shows a cube. Given that the area of the surface JKLM is 16 cm2.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
K L
M
SULIT 9
Diagram 4
Hence, calculate the volume, in cm3, of the cube.
A 48
B 64
C 96
D 128
15 Izam has 5 sacks of sugar, each with a mass of r kg. All the sugar is then packed in a number of smaller packets of the same size. The mass of each packet is 3 kg. What is the total number of the packets?
A
B 15r
C
D 30r
16 In Diagram 5, the area of the square RSTU is 64 cm2 and QR = RS.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
P
Q R
S
T
U15 cm
J
0
SULIT 10
Diagram 5
Find the length, in cm, of PU.
A 8
B 9
C 12
D 17
17 Table 2 shows the scores for a group of students in a game.
Table 2
Determine the number of students who obtained scores less than the median score.
A 2
B 3
C 4
D 5
18 In Diagram 6, PRSV is a parallelogram and STUV is a rectangle.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
Point 1 2 3 4 5 6
Number of Students 2 1 1 1 3 2
P QR
S
TU
V
8 cm
3 cm
SULIT 11
Diagram 6
Given that PQ = PV = UV . QST is a straight line.
Calculate the area, in cm2, of the whole diagram.
A 72
B 52
C 40
D 32
19 In Diagram 7, TRP is a straight line. Given that, the ratio of SRT to RST to RTS is 2 : 3 : 4.
Diagram 7
Find the value of m.
A 100
B 120
C 140
D 180
20 In Diagram 8, X and Y are the centres of two semicircles.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
S
TR
P
mo
X
YR S
B
A
C D
12 cmQ P
8 cm
SULIT 12
Diagram 8
Based on the diagram, which of the points, A, B, C or D is 4 cm from the straight line PQ and 6 cm from point Y.
21 Diagram 9 shows a right-angled triangle EFG.
Diagram 9
Given that EF = FG and M is the midpoint of EG. Find the coordinates of M.
A ( 3, 3 )
B ( 5, 6 )
C ( 4, 5 )
D ( 6, 5 )
22 In Diagram 10, point P and point R are marked on the Cartesian plane.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
E(2, 9)
F(2, 3) G
M
y
2
P
R
SULIT 13
Diagram 10
Given PQRS is a trapezium. If the coordinates of point Q( 3, 2 ), the possible coordinates of point S is
A ( 1, – 1 )
B ( 2, – 2 )
C ( 0, – 2 )
D ( 0, 2 )
23 Diagram 11 shows a Cartesian plane.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
xO
– 2
2
y
xO x
L
K (– 12, 0)
T
SULIT 14
Diagram 11
Given that KL = 13 units and LM is parallel to x-axis. The coordinates of T is
A ( 13, 5 )
B ( 5, 12 )
C ( 12, 5 )
D ( 12, 13 )
24 Diagram 12 shows the net of a solid.
Diagram 12
The solid is
A a cylinder with the radius 15 cm.
B a cone with the radius 15 cm.
C a cylinder with the radius 7.5 cm.
D a cone with the radius 7.5 cm.
25 Diagram 13 shows, a right pyramid with square base JKLM. The height of vertex V from the base JKLM is 12 cm.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
25 cm
15 cm
V
J
K L
M10 cm
O
SULIT 15
Diagram 13
Calculate the total surface area, in cm2, of the pyramid.
A 165
B 260
C 280
D 360
26 In Diagram 14, E, F, G, H and J are vertices of a regular polygon.
Diagram 14
Find the number of sides of the polygon.
A 9
B 10
C 12
D 15
27 The bar chart in Diagram 15 shows the sales of cars in a car sales centre for the first five months.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
18o
E
F G
H
I
O
2
4
6
8
Sal
es o
f ca
rs(i
n 10
0 un
its)
Month
Jan Feb Mar April May
SULIT 16
Diagram 15
Calculate the mean of the sales per month for the period shown in the chart.
A 600
B 480
C 400
D 380
28 The pictograph in Diagram 16 shows the number of mobile phone sold in the first three months of 2008.
Diagram 16
Which of the following statements is true?
A The sales in March was 45 units.
B The lowest monthly sales was 3 units.
C The sales in February exceeded the sales in January by 45 units.
D The total sales for the first three months are 13 units.
29 Diagram 17 is drawn on the square grids.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
Represents 15 units
JanuaryFebruaryMarch
I II III
V
IV
SULIT 17
Diagram 17
Which of the points are situated on the axes of symmetry of the diagram?
A I and III
B II and IV
C I, II and V
D II, IV and V
30 In Diagram 18, JKLMN is a semicircle with centre O.
(use )
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
J
K
L
M
NO
40o20o
14 cm
SULIT 18
Diagram 18
Calculate the area, in cm2, of the shaded region.
A
B
C
D
31 Diagram 19 shows a sector of a circle with centre O.
(use )
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
20o
O
G
E
9 cm
SULIT 19
Diagram 19
Calculate the perimeter, in cm, of the whole diagram.
A 22
B 31
C 40
D 44
32 In Diagram 20, PQR is a right-angled triangle.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
P
Q
R
(x – y) cm 8 cm
2x cm
SULIT 20
Diagram 20
The area, in cm2, of the triangle is
A 4x – 4y
B 2x2 + xy
C 8x – 8y
D 8x
33 Diagram 21 shows three pairs of parallel lines.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
xo
zo
yo
vo
wo
SULIT 21
Diagram 21
Which of the following statements are true?
I v + w + y = 180
II y = v + w
III w + x = 180
A I, II only
B I, III only
C II, III only
D I, II, III only
34 Diagram 22 shows a regular hexagon KLMNPQ and irregular polygon MRSTV.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
K L
M
S
R
T
V
P N
Q
130o
100o
xo
SULIT 22
Diagram 22
Given that PMR is a straight line. The value of x is
A 85
B 80
C 75
D 70
35 Diagram 23 shows a semicircle with centre O.
Diagram 23
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
R
S
T
UO
70o
xo
SULIT 23
The value of x is
A 50
B 60
C 70
D 80
36 In Diagram 24, KPM and JOPL are straight lines and O is the centre of the circle.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
25o
ho
140o
O
N
M
P
L
K
J
SULIT 24
Diagram 24
Find the value of h.
A 115
B 110
C 105
D 100
37 In Diagram 25, EFGH is a rectangle and EFP is a circle with centre O.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
FME
O
H N G
10 cm
P
SULIT 25
Diagram 25
Given that, the area of the rectangle EFGH is 80 cm2 and the radius of the circle is 5 cm.
The length, in cm, of MP is
A 5
B 6
C 8
D 10
38 3( x – 2)2 =
A 3x2 – 12
B 9x2 – 36
C 3x2 – 6x + 12
D 3x2 – 12x + 12
39 The pie chart in Diagram 26 shows the result of a survey on a group of people and their favourite local fruits.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
Banana
Mangosteen
Durian
Papaya
4xo
2xo
xo
150o
SULIT 26
Diagram 26
If the number of people who love mangosteens is 15, calculate the total number of people in survey is
A 30
B 60
C 90
D 120
40 ( 2x – 1 )3 = .
A 6x – 3
B
C
D
END OF QUESTION PAPER
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
SULIT 27
Answer all questions
1 Calculate the value of (– 3) + 8 ( – 5 )
[2 marks]
Answer:
2 Calculate the value of and express the answer as a fraction in its lowest
term.
[2 marks]
Answer:
3 Calculate the value of and express the answer as a decimal.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
1
2
For Examiner’s
Use
2
2
SULIT 28
[2 marks]
Answer:
4 (a) Find the value of
(b) Calculate the value of .
[3 marks]
Answer:
(a)
(b)
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
3
2
For Examiner’s
Use
4
3
For Examiner’s
Use
SULIT 29
5 Solve each of the following equation:
(a) – 3s = – 4
(b)
[3 marks]
Answer:
(a)
(b)
6 In Diagram 1, triangle P is drawn on square grids. On the grids, draw the image of triangle P under a reflection in the line .
Answer: [2 marks]
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
5
3
P
For Examiner’s
Use
SULIT 30
7 Given that . Find the value of .[2 marks]
Answer:
8 In Diagram 2, point A’ is the image of point A under a 90° clockwise.(a) Mark C as the centre of rotation. (b) Complete the image of object S under the same rotation.
[3 marks]
Answer
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
6
2
7
2
SA
Diagram 1
For Examiner’s
Use
SULIT 31
Diagram 2
9 Factorize completely(a) 2p – 4p²
(b) y³ – 9y
[3 marks]
Answer:
(a) (b)
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
8
3
9
3
A
For Examiner’s
Use
SULIT 32
10 Expand 2(2p – 3q)² – p(2p – q)
[2 marks]
Answer:
11 Find the value of
[3 marks]
Answer:
12 Express as a single fraction in its simplest form.
[3 marks]
Answer:
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
10
2
11
3
For Examiner’s
Use
SULIT 33
13 Simplify
[3 marks]
Answer:
14 Table 1 shows the blood type of 37 pupils.
(a) State the mode.
(b) Hence, represent all the data by drawing a line graph in the answer space.
[4 marks]
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
Blood type Number of pupils
AB 8
A 5
B 12
O 12
12
3
13
3
For Examiner’s
Use
SULIT 34
Answer:
(a)
(b)
15 Table 2 shows the number of
students in Form 3 Melur who scored grade A in three subjects.
Based on the bar chart in the answer space given
(a) find the value of x
(b) hence, represent all the data by drawing bar charts for Science and English.
[4 marks]
Answer: (a)
(b)
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
14
4
B G
Mathematics 14 x
Science 20 12
English 10 22
.
B- Boy
G- Girl
AB A B O
14
12
10
8
6
4
2
0
Num
ber
of p
upil
s
Blood type
32
28
24
20
16
12
8
Mathematics Science English
Num
ber
of s
tude
nts
Subject
For Examiner’s
Use
SULIT 35
16 Diagram 3, shows a square base right pyramid.
Draw the net of the pyramid completely.
[3 marks]
Answer:
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
V
6 units
5 units
15
4
Diagram 3
For Examiner’s
Use
SULIT 36
17 In Diagram 4 figure R is the image of figure S under a certain transformation M.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
16
3
For Examiner’s
Use
SULIT 37
Diagram 4
Describe in full the transformation M.
[2 marks]
Answer:
18 Diagram 5 in the answer space shows an isosceles triangle STU. M is the midpoint of straight line SU.
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
17
2
S
60o
B
C
For Examiner’s
Use
A
D
SULIT 38
J, K and L are three moving points in the diagram.
(a) J moves such that it is equidistant from the point S and U. By using the letters in the diagram, state the locus of J.
(b) On the diagram, draw
(i) the locus of K such that KU = 6 cm,
(ii) the locus of L such that its distance from the straight line SU is always 4 cm.
(c) Hence, mark with the symbol the intersection of the locus of K and the locus of L.
[5 marks]
Answer:
(a), (b) and (c)
Diagram 5
19Diagram 6 shows a quadrilateral ABCD.
Diagram 6
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
18
5
M
T
S U
For Examiner’s
Use
SULIT 39
(a) Using only a ruler and a pair of compasses, construct quadrilateral ABCD given. Begin from the diagram provided in the answer space.
(b) Based on the diagram constructed in 19(a),
(i) measure the length, in cm, of BD,
(ii) measure BAD, using a protractor.
[6 marks]
Answer:
(a)
A B
Diagram 6
(b) (i)
(ii)
20 Diagram 7 in the answer space shows octagon ABCDEFGH and two straight lines PQ and QR drawn on a square grid.
Starting from the straight lines PQ and QR, draw the octagon PQRSTUVW which is congruent to octagon ABCDEFGH.
[3 marks]
Answer:
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
19
6
C
C
FD
E
G
HA
B
SULIT 40
Diagram 7
END OF QUESTION PAPER
[Lihat sebelah50/1 © 2008 Hak Cipta Sektor SBP SULIT
20
3
R Q
P