[ PMR MATEMATIK 50/1, 2004 - 2008 ] (A) Whole Numbers 0 – 1 mark 1 A factory operates every day. The factory produces 2450 bottles per day. In a particular week, 329 bottles are found cracked. How many of the bottles produced in that week are not cracked ? A. 14847 C. 17103 B. 16821 D. 19453 [2005, No.5] 2 Which of the following numbers when rounded off to the nearest thousand does not become 312000 ? A. 311509 C. 312409 B. 311805 D. 312505 [2006, No.1] 3 The number 175489 is written as 200000 after rounding off to the A. nearest hundred C. nearest ten thousand B. nearest thousand D. nearest hundred thousand [2007, No.1] 4 Which of the following numbers when rounded off to the nearest ten thousand becomes 9160000 ? A. 9154510 C. 9165783 B. 9158306 D. 9166204 [2008, No.1] 1
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(A)
PAGE 45 [ PMR MATEMATIK 50/1, 2004 - 2008 ]
(A) Whole Numbers ( 0 1 mark 1 A factory operates every day. The factory produces 2450 bottles per day. In a particular week, 329 bottles are found cracked. How many of the bottles produced in that week are not cracked ?
A.14847
C. 17103
B.16821
D. 19453
[2005, No.5]
2 Which of the following numbers when rounded off to the nearest thousand does not become 312000 ?
A.311509
C. 312409
B.311805
D. 312505
[2006, No.1]
3 The number 175489 is written as 200000 after rounding off to the
A. nearest hundred
C. nearest ten thousand
B. nearest thousand
D. nearest hundred thousand
[2007, No.1]
4 Which of the following numbers when rounded off to the nearest ten thousand becomes 9160000 ?
A. 9154510
C. 9165783
B. 9158306
D. 9166204
[2008, No.1]
(B) Integers ( 0 1 mark
5 Which of the following number line represent the operation for (4 ( ((7) ?A. C.
B.
D.
[2004, No.5]
6 The diagram is a number line.
Which of the following is the value of M and of N ?
A. M = (6 and N = 3
C. M = (6 and N = 9
B. M = (3 and N = 3
D. M = (3 and N = 9
[2005, No.1]
7 The table shows the temperature for four towns on a particular day.
TownTemperature ((C)
P(3
Q2
R8
S(9
Which town was the coldest on that day ?
A. P
C. R
B. Q
D. S
[2007, No.4]
8 The diagram is part of a number line.
What is the value of K and of L ?
A. K = (4, L = 12
C. K = (10, L = 8
B. K = (9, L = 6
D. K = (12, L = 12
[2008, No.4]
(C) Number Patterns and Sequences ( 1 3 marks
9 The diagram shows a sequence of numbers.
(20, (19, (17, (14, m, (5, 1
The value of m is
A. (12
C. (10
B. (11
D. (7[2004, No.1]
10 Find the lowest common multiples (LCM) of 16 and 40.
A. 8
C. 40
B. 13
D. 80[2004, No.3]
11 Find the highest common factor (HCF) of 18, 24 and 36.
A. 3
C. 9
B. 6
D. 12
[2004, No.4]
12 State all the prime factor of 156 ?
A.2, 3, 7
C. 2, 13, 19
B.2, 3, 13
D. 3, 7, 29
[2005, No.2]
13 Find the lowest common multiples (LCM) of 8, 12 and 15.
A. 30
C. 120
B. 60
D. 240[2005, No.3]
14 How many prime number are there between 20 and 40 ?
A.3
C. 5
B.4
D. 6
[2005, No.4]
15 The diagram shows five number cards
The cards which represent prime numbers are
A.41 and 49 only
C. 51, 53 and 57 only
B.41 and 53 only
D. 49, 51 and 57 only
[2006, No.5]
16 Find the lowest common multiples (LCM) of 8, 15 and 24.
A. 14
C. 120
B. 30
D. 360[2006, No.6]
17 The diagram shows a sequence of prime numbers.
11, 13, x, y, 23
Find the value of x + y.
A. 32
C. 36
B. 34
D. 38
[2007, No.5]
18 The diagram shows some factors of 56.
Identify three other factors of 56.
A. 1, 2, 14
C. 2, 3, 6
B. 1, 14, 24
D. 2, 3, 14
[2007, No.6]
19 Which of the following is the common multiple of 6 and 8 ?
A. 14
C. 64
B. 36
D. 72
[2008, No.6]
(D) Fractions ( 0 2 marks
20 Which of the following fractions has the largest value ?
A.
C.
B.
D.
[2004, No.6]
21 The diagram shows a semicircle centre O which consists of five parts, I, II, III, IV and V.
Which combination of parts represents of the semicircle ?A.I and III
C. II and III
B.I and V
D. II and IV
[2006, No.3]
22 In a group of 90 students, of them are Chess Club members. of the Chess Club members are Choir Club members. How many Choir Club members are there altogether ?A.24
C. 36
B.30
D. 40
[2006, No.4]
23 Which of the following fraction has a value greater than ?
A.
C.
B.
D.
[2007, No.2]
24 Robert had 360 eggs. He sold of the eggs. Then he gave 27 of the remaining eggs to his neighbour. Calculate the percentage of eggs that Robert has left.
A. 30
C. 55
B. 45
D. 70
[2008, No.3]
25 The original price of a book is RM 18.00. The sale price of the book is of its original price. Cindy uses of her savings to buy the book. What was her savings before she bought the book ?
A. RM 16.20
C. RM 24.00
B. RM 21.60
D. RM 29.70
[2008, No.5]
(E) Decimals ( 0 1 mark
26 The diagram shows four number cards, P, Q, R and S.
On which cards does the digit 2 have the same value ?
A. P and R
C. Q and R
B. P and S
D. Q and S[2004, No.2]
27 Express 12 as a decimals
A. 12.00011
C. 12.011
B. 12.0011
D. 12.11
[2007, No.3]
(F) Percentages ( 0 1 mark
28 Rizal bought a computer for RM2000. He sold the computer for RM1600. Calculate the loss percentage.
A. 20
C. 40
B. 25
D. 80[2004, No.8]
29 Mira spends 75% of her monthly salary on household expenditure. She spends RM54000 on household expenditure in one year. She receives the same amount of salary every month for that year. What is her month salary ?
A. RM1125
C. RM4500
B. RM3375
D. RM6000
[2005, No.6]
30 Helmi receives RM30 pocket money per week. He saves 20% of his pocket money every week and spends the rest. Calculate the difference between the amount of pocket money he receives and the amount he saves over the period of 4 weeks.
A. RM24
C. RM114
B. RM96
D. RM120[2006, No.2]
31 Azri took part in a quiz competition. He answered 75% of the questions correctly. He answered 4 questions incorrectly. Find the total number of questions in the quiz.
A. 12
C. 20
B. 16
D. 25
[2007, No.7]
(G) Basic Measurements ( 0 4 marks
32 Aini has 3.05 m length of ribbon. She uses 40% of the ribbon to make a flower. Then she uses the remaining ribbon to tie a present. She still has 25 cm of ribbon left. What is the length, in cm, of ribbon did she use to tie the present ?
A. 97
C. 158
B. 147
D. 239
[2004, No.7]
33 The table shows the time allocation for a test.
TestTime Alloccation
Paper 11 hours
Break20 minutes
Paper 21 hours
All candidates must be in the examination hall 10 minutes before Paper 1 starts. Paper 2 ends at 1.05 p.m. At what time must the candidates be in the hall before Paper 1 starts ?
A. 9.35 a. m.
C. 10.00 a. m
B. 9.50 a. m
D. 10.10 a. m
[2004, No.13]
34 Puan Anatasha requires 1500 cm of curtain material for 6 windows in her house. Calculate the length, in m, of curtain material, for 10 windows of the same saiz.
A.25
C. 250
B.90
D. 900
[2004, No.33]
35 Ramli runs 2.75 km on track P and 3km 50m on track Q. What is the total distance, in km, that Ramli runs ?
A. 5.125
C. 5.8
B. 5.775
D. 6.25[2006, No.7]
36 Shima has 10 m of cloth. She uses it to make 5 curtains and 3 tablecloth. Each curtain requires 1.25 m of cloth and each tablecloth requires 80 cm of cloth. What is the length, in m, of the remaining cloth ?
A. 1.35
C. 2.95
B. 2.25
D. 3.75
[2007, No.8]
37 The table shows three types of seafood bougth by Mira.
SeafoodPrice per kgQuantity
CrabRM 253.5 kg
FishRM 261 kg 500 g
PrawnRM 28500g
Mira has RM 200. How much money is left after she paid for all the seafood ?
A. RM 59.50
C. RM 138.25
B. RM61.75
D. RM 140.50
[2008, No.2]
38 Farah has 16 m of ribbon to tie 15 bars of chocolate and 25 boxes of sweets. A bar of chocolate needs 24 cm of ribbon and a box of sweet needs 36 cm of ribbon. Calculate the length, in m, of the remaining ribbon .
A. 3.40
C. 9.36
B. 4.60
D. 11.86
[2008, No.7]
39 Cikgu Ali conducted an extra class for 1 hours. The class started at 8.15 p.m. The class finished 25 minutes earlier due to power failure. At what time did the class finish ?
A. 8.40 p.m.
C. 9.40 p.m.
B. 9.20 p.m.
D. 10.10 p.m.
[2008, No.8]
(H) Polygons I, II ( 2 5 marks
40 In the diagram, PQRST is a pentagon and STU is a straight line.
The value of j + k + m + n is
A. 130
C. 490
B. 410
D. 540[2004, No.9]
41 In the diagram, PQR is a straight line.
The value of x is
A. 20
C. 40
B. 30
D. 80
[2004, No.12]
42 In the diagram, PQRS, YXWV and WUT are straight lines.
Find the value of j + k + l + m + n.A. 180(
C. 540(
B. 360(
D. 720(
[2005, No.7]
43 In the diagram, PQRS is a quadrilateral and RST is a straight line.
Find the value of y.A. 40
C. 70
B. 50
D. 80[2005, No.10]
44 In the diagram, PQS is a right angled triangle, QRS is an isosceles triangle and RST is a straight line.
The value of x is
A. 20
C. 50
B. 30
D. 80[2005, No.11]
45 In the diagram, P, Q, R, S and T are vertices of a 9 sided regular polygon, and PT is a straight line.
Find the value of x.
A. 40
C. 70
B. 60
D. 108[2005, No.14]
46 In the diagram, STU is an equilateral triangle and VTU is an isosceles triangle.
Find the value of x.A.10
C. 40B.20
D. 50[2005, No.15]
47 The diagram shows a pentagon PQRST. TPU and RSV are straight lines.
Find the value of x.
A. 108
C. 130
B. 110
D. 170[2006, No.8]
48 In the diagram, PQRSTU is a hexagon. QUV is a straight line.
The value of x is
A. 150
C. 120
B. 144
D. 108[2006, No.9]
49 In the diagram, PRT and QRS are straight lines.
The value of y is
A. 24
C. 52
B. 46
D. 76 [2006, No.10]
50 In the diagram, PQR and PRS are isosceles triangles.
Find the value of x.
A. 35
C. 65
B. 50
D. 70
[2007, No.9]
51 In the diagram, PQRS is a quadrilateral and RST is a straight line.
Find the value of x.
A. 20
C. 40
B. 30
D. 50
[2007, No.10]
52 The diagram shows a regular hexagon and EFG is a straight line.
Find the value of p and of m.
A. p = 60, m = 90
C. p = 30, m = 90
B. p = 60, m = 120
D. p = 30, m = 120
[2007, No.11]
53 In the diagram, PQR is an isosceles triangle and PRU is a straight line.
The value of x + y is
A. 210
C. 250
B. 240
D. 280
[2007, No.12]
54 The diagram shows an isosceles triangle PRS with PS = SR and PFR and SER are straight lines.
Find the value of x.
A. 15
C. 40
B. 20
D. 55
[2008, No.9]
55 In the diagram, PQRSTUVW is a regular octagon and PQM is an equilateral triangle.
Find the value of x.
A. 45
C. 75
B. 60
D. 90
[2008, No.11]
56 In the diagram, PQRSTUV is a heptagon. PVW and QRX are straight lines.
Find the value of y.
A. 100
C. 135
B. 105
D. 165
[2008, No.12]
(I) Lines and Angles I, II ( 0 2 marks
57 In the diagram, KL, MN, PQ, and RS are the straight lines.
Which of the angle A, B, C and D, is equal to angle T ?[2004, No.10]
58 In the diagram, CD, EF, GH, and LM are straight lines.
Which of the following is same value as x + y ?Ap + wCq + uBr + uDr + v
[2005, No.13]
59 The diagram shows six straight lines which meet at point P.
Which of the following pairs of lines are perpendicular to each other ? APS and PVCPR and PUBPQ and PTDPQ and PU
[2006, No.11]
60 In the diagram, JLN and KLM are straight lines
Find the value of x.
A. 43
C. 51
B. 47
D. 70[2006, No.12]
61 Which of the following diagrams shows line PQ parallel to the line RS ?A.
C.
B. D.
[2008, No.25]
(J) Perimeter and Area ( 2 3 marks
62 In the diagram, PQRS is a rectangle and PTS is an equilateral triangle. M is the midpoint of PQ.
Find the perimeter, in cm, of the shaded region.
A. 44
C. 52
B. 46
D. 66[2004, No.14]
63 In the diagram, KLM is a straight line and JK = LM.
Calculate the area, in cm2, of triangle JLN.A.78
C. 122
B.92
D. 140
[2004, No.15]
64 In the diagram, PQRW is a square and STUV is a rectangle. WRST is a straight line and WR = RS.
Find the perimeter, in cm, of the whole diagram.
A. 108
C. 127
B. 120
D. 146[2005, No.16]
65 The diagram shows a trapezium.
Calculate the area, in cm2, of the trapezium.A.28
C. 38
B.32
D. 44
[2005, No.17]
66 In the diagram, EFKL is a square, FGJK is a rectangle and GHJ is an equilateral triangle.
The perimeter of the whole diagram is 310 cm. Calculate the length, in cm, of EL.
A. 25
C. 35
B. 30
D. 42[2006, No.13]
67 In the diagram, PQRS is a trapezium and PQTU is a parallelogram.
Calculate the area, in cm2, of the shaded region.A.32
C. 62
B.46
D. 86
[2006, No.14]
68 In the diagram, PQRS is a square and PQUV is a parallelogram.
Given PT = PV, calculate the perimeter, in cm, of the whole diagram.
A. 46
C. 58
B. 52
D. 64
[2007, No.13]
69 The diagram shows the plan of two rooms with rectangular floors.
The cost to tile the floor is RM20 per square metre. How much would it cost to tile the floors of both rooms ?
A. RM 600
C. RM 1240
B. RM 840
D. RM 1560
[2007, No.14]
70 In the diagram, PQRS is a trapezium and PTS is a right angled triangle.
Calculate the area, in cm2, of the shaded region.
A. 75
C. 105
B. 96
D. 126
[2007, No.15]
71 In the diagram, PQRS and SVUT are rectangles. M, N, T and V are midpoints of PQ, QR, RS and SP respectively.
Calculate the perimeter, in cm, of the shaded region.
A. 34
C. 60
B. 44
D. 68
[2008, No.13]
72 The diagram shows a square and three similar isosceles triangles.
The height of each isosceles triangle is 6 cm. The area of the square is 64 cm2. Calculate the area, in cm2, of the whole diagram.
A. 72
C. 136
B. 96
D. 208
[2008, No.15]
73 In the diagram, PQRS is a square and TSR is a straight line.
The area of the square PQRS is 144 cm2. Calculate the length, in cm, of PT.
A. 12
C. 15
B. 13
D. 17
[2008, No.24]
(K) Pythogoras( Theorem ( 1 mark
74 In the diagram, PSR is a straight line.
Find the length, in m, of PR.
A. 1.2
C. 1.7
B. 1.4
D. 1.8
[2004, No.11]
75 The diagram shows a triangle PRS and PQR is a straight line.
Calculate the length, in cm, of PS.
A. 10
C. 28
B. 26
D. 32[2005, No.9]
76 In the diagram, PT is the axis of symmetry.
It is given that QR = 16 cm, PR = 17 cm and PT = 39 cm. Find the value of h.
A. 12
C. 15
B. 13
D. 24[2006, No.16]
77 In the diagram, PQRS is a rectangle and YXR is a right angled triangle.
Find the length, in cm, of PX.
A. 5
C. 8
B. 7
D. 10
[2007, No.25]
78 In the diagram, SQR and PQT are right angled triangles. PQR and SQT are straight lines. The length of QR is twice the length of PQ.
Calculate the length, in cm, of PT.
A. 12
C. 17
B. 13
D. 24
[2008, No.14]
(L) Solid Geometry I, II, III ( 2 4 marks
79 The diagram shows a combined solid of cube JKLMPQRS and a right pyramid PQRST.
The height of the right pyramid is 6 cm and equals the length of the side of the cube. Calculate the volume, in cm2, of the solid.A.144
C. 324
B.288
D. 532
[2004, No.18]
80 The diagram shows a closed cylindrical container.
Which of the following is a net for the container ?A.
C.
B.
D.
[2004, No.26]
81 The diagram shows a prism.
Which of the following is a net for the prism ?A. C.
B.
D.
[2005, No.8]
82 The diagram shows a container in the shape of cuboid and another container in the shape of a cylinder.
The cuboid is filled up with water. All of the water in the cuboid is then poured into the cylindrical container. The radius of the cylinder is 7 cm, calculate the height, in cm, of the water level in the cylindrical container.
(Use ( = )
A.4.5
C. 27
B.9
D. 31.5
[2005, No.17]
83 The diagram shows a prism. The cross section of the prism has a shape of a regular hexagon.
Which of the following is a net for the prism ?A.
C.
B.
D.
[2006, No.17]
84 The diagram shows a combined solid of a cone and a cylinder.
State the total number of faces of the solid. A.1
C. 3B.2
D. 4
[2006, No.24]
85 The diagram shows a right prism with right angled triangle PQR as it uniform cross section.
Calculate the total surface area, in cm2, of the prism.A.150
C. 132
B.135
D. 119
[2006, No.25]
86 The diagram shows a right cylindrical container.
75 % of the container is filled with water. Calculate the volume, in litres, of the portion of the container which is not filled with water. (Use ( = )
A. 2.2
C. 6.6
B. 4.4
D. 8.8[2006, No.26]
87 Which of the following geometric solid is a prism ?
A.
C.
B.
D.
[2007, No.16]
88 In the diagram, the volume of the cube is equal to the combined total volume of the two similar cylinders.
Calculate the height, in cm, of one cylinder.
A.
C.
B.
D.
[2007, No.17]
89 The diagram shows a solid cuboid with a square base FGHJ.
The area of FGHJ is 49 cm2. Find the total surface area, in cm2, of the cuboid.
A. 438
C. 378
B. 420
D. 294
[2007, No.18]
90 The diagram shows a closed cylinder with radius 7 cm.
The total surface area of the cylinder is 748 cm2. Calculate the height, in cm, of the cylinder. [use ( = ]
A. 10
C. 20
B. 17
D. 27
[2007, No.19]
91 The diagram shows the net of a geometric solid.
Name the geometric solid.
A. Cube
C. Prism
B. Cuboid
D. Pyramid
[2008, No.16]
92 The diagram shows a right circular cylindrical container and a right circular conical container.
The conical container is fully filled with water. All the water from the conical container is poured into the cylindrical container. Calculate the height, in cm, of the water in the cylindrical container.
A. 6
C. 18
B. 9
D. 24
[2008, No.17]
(M) Loci in Two Dimensions ( 1 mark
93 The diagram shows two squares, PQTU and QRST, of the same size. UQS is a semicircle with centre T and PQR is a straight line.
X is the locus of a point which moves such that its distance from T is always constant. Y is the locus of a point which moves such that its perpendicular distance line PQR is always constant. Which of the following points are the intersection of locus X and locus Y ?
A.Q and S
C. U and SB.U and Q
D. P and R[2004, No.27]
94 In the diagram, PQRS is a square, PQRT is a quadrant of a circle with centre Q and PSRV is a quadrant of a circle with centre S.
X is the locus of a point which moves such that its distance from Q is always 5 cm. Y is the locus of a point which moves such that its distance from PS and RS is always constant. Which of the point A, B, C or D, is the intersection of locus X and locus Y ?
[2005, No.12]
95 In the diagram, PQRS is a square. PUR is an arc of a circle with centre Q and QTS is an arc of a circle with centre P.
X is the locus of a point which moves such that its distance from P is always constant. Y is the locus of a point which moves such that its distance from SR and RQ is always constant. Which of the point A, B, C or D, is the intersection of locus X and locus Y ?
[2006, No.15]
96 The diagram shows a square JKLM.
JL is the locus of a moving point X in JKLM. Which statement describe JL correctly ?
A. Locus of X which is constant from point K
B. Locus of X which is equidistant from JK and JM
C. Locus of X which has a constant distance from KL
D. Locus of X which is equidistant from point J and point M.[2007, No.20]
97 In the diagram, PQRSTU is a regular hexagon with sides 6 cm.
X is the locus of a point which moves such that it is always equidistant from point P and point T. Y is the locus of a point which moves such that its distance from point Q is always 6 cm. Which of the following points is the intersection of locus X and locus Y ?
A. P
C. S
B. R
D. T
[2008, No.40]
(N) Circles I, II ( 5 7 marks
98 In the diagram, PQRS is a circle with centre O, POR is the diameter and QR = RS.
The value of x is
A.20
C. 70
B.50
D. 80
[2004, No.16]
99 In the diagram, PQRS is a cyclic quadrilateral.
The value of x + y is
A. 150
C. 190
B. 170
D. 210
[2004, No.17]
100 The diagram shows a circle with centre O.
The radius of the circle is cm. Calculate the length, in cm, of the minor arc MN. (Use ( = )
A.
C.
B.
D.
[2004, No.19]
101 In the diagram, POR is the diameter of circle PQR.
Given that PQ = QR and PR = 14 cm. Calculate the area, in cm2, of the shaded region. (Use ( = )
A. 56
C. 105
B. 93
D. 142
[2004, No.20]
102 The diagram shows three congruent circles with centre L, M, and R respectively.
Given that PQ = 24 cm and KL = 5 cm, calculate the length, in cm, of KR.
A. 15
C. 31
B. 26
D. 39[2004, No.21]
103 In the diagram, PQR is an arc of a circle with centre O and PRO is an equilateral triangle.
The perimeter, in cm, of the whole diagram is
(Use ( = )
A. 42
C. 64
B. 63
D. 85
[2004, No.39]
104 Diagram (a) shows a cone with slant height 25 cm. The cone is divided in two equal parts. One part is as shown in diagram (b).
(a) (b)The area of the shaded region in diagram (b) is 77 cm2. Calculate the height, in cm, of the cone.A. 11
C. 18B. 14
D. 24[2005, No.19]
105 In the diagram, PQRS is a circle with centre O.
Find the value of y.
A. 30
C. 90
B. 75
D. 105[2005, No.20]
106 In the diagram, PQRS is a circle with centre O and PST is a straight line.
Find the value of x.
A. 15
C. 45
B. 35
D. 50[2005, No.21]
107 In the diagram, O is the centre of the circle.MPN and POQ are straight lines
The length of PO is 8 cm and the length of POQ is 18 cm. Calculate the in cm, of MPN ?
A. 12
C. 20
B. 16
D. 24[2005, No.22]
108 In the diagram, PQR is a straight line and PQS is a quadrant of a circle with centre Q.
The area of triangle QRS is 21 cm2. Calculate the area, in cm2, of quadrant PQS. (Use ( = )
A. 11
C. 38.50B. 19.25
D. 154[2005, No.23]
109 In the diagram, PQR is an arc of a circle with centre O.
The radius of the circle is 14 cm and PT = 2 TS. Calculate the perimeter, in cm, of the whole diagram. (Use ( = )
A. 66
C. 98
B. 94
D. 126[2005, No.24]
110 The diagram shows a circle with centre O. The length of the minor arc PQ is 3.3 cm.
Calculate the radius, in cm, of the circle. (Use ( = )
A. 2.42
C. 14.85
B. 4.50
D. 29.70[2005, No.40]
111 In the diagram, PQRS is a cyclic quadrilateral. PSU and RST are straight lines.
The value of x is
A. 37
C. 64
B. 53
D. 74[2006, No.18]
112 The diagram shows a circle with centre O and PR = US.
The value of y is
A. 45
C. 80
B. 75
D. 105[2006, No.19]
113 The diagram shows a circle with centre O.
Calculate the length, in cm, of the minor arc PQ. (Use ( = )
A. 22
C. 88
B. 44
D. 176[2006, No.20]
114 The diagram shows the surface of a table PQRSTU. PQST is a rectangle. PUT and QRS are semicurcles with centres X and Y respectively.
It is given that PT = 1.4 m and PQ = 3 m. Calculate the perimeter, in m, of the surface of the table. (Use ( = )
A. 10.4
C. 14.8
B. 13.2
D. 17.6[2006, No.21]
115 The diagram shows two sectors, QSR and UST, with the common centre S. RSU and QST are the straight lines.
It is given that ST = 2QS. Calculate the area, in cm2, of the sector UST. (Use ( = )
A. 11
C. 38.50B. 19.25
D. 77[2006, No.22]
116 In the diagram, O is the centre of the circle.
Find the value of x.
A. 25
C. 55
B. 40
D. 70
[2007, No.21]
117 The diagram shows a semicircle with centre O.
Find the value of x.
A. 14
C. 42
B. 16
D. 48
[2007, No.22]
118 The diagram shows a circle with centre O. PT, QU, RV and SW are diameter of the circle.
Which of the following minor arcs is the longest ?
A. TU
C. WP
B. UV
D. RS
[2007, No.23]
119 The diagram shows a circle with centre O and radius 6cm.
Calculate the area, in cm2, of the shaded region.
A. 1.8(
C. 10.2(
B. 5.4(
D. 30.6(
[2007, No.24]
120 The diagram shows a square OPQR and an arc RSP with centre O
Calculate the perimeter, in cm, of the whole diagram. [ use ( = ]
A. 61
C. 47
B. 58
D. 33
[2007, No.31]
121 The diagram shows a circle PQRST with centre O. QOT is a diameter of the circle. The lengths of arc QR and ST are 1.5 cm and 3 cm respectively.
Find the value of x.
A. 12
C. 22
B. 18
D. 33
[2008, No.19]
122 In the diagram, PQRS is a cyclic quadrilateral and PST is a straight line.
Find the value of ( QST.
A. 64(
C. 116(
B. 70(
D. 156(
[2008, No.20]
123 The diagram shows a circle with centre O.
Calculate the area, in cm2, of the shaded region. [ Use ( = ]
A. 105
C. 539
B. 116
D. 616
[2008, No.21]
124 In the diagram, O is the centre of the circle and POR is a diameter of the circle. PQRS is a rectangle.
It is given that PR = 10 cm and PQ = 6 cm. Find the area, in cm2, of the shaded region.
A. 25( ( 48
C. 100( ( 48
B. 25( ( 96
D. 100( ( 96
[2008, No.22]
125 In the diagram, FGHJ is a cyclic quadrilateral. FGK is a straight line.
Find the value of x + y.
A. 31
C. 49
B. 35
D. 50
[2008, No.23]
126 In the diagram, PQRS is a square and STU is an arc of a circle with centre P.
The area of PQRS is 576 cm2. Calculate the length, in cm, of the arc STU.
A. 16(
C. 32(
B. 28(
D. 48(
[2008, No.30]
(O) Transformations ( 1 mark
127 In the diagram, triangle P(Q(R( is the image of triangle PQR under an enlargement at centre O.
It is given that QR = 1 cm, Q(R( = 3 cm and the area of PQR is 5 cm2. Find the area, in cm2, of P(Q(R(.
A. 15
C. 45
B. 30
D. 75[2004, No.22]
128 In the diagram, R(S(T is the image of RST under an enlargement.
It is given that RT = 6 cm, TS = 2 cm and the scale factor of the enlargement is 2. Calculate the area, in cm2, of the shaded region.
A. 12
C. 24
B. 18
D. 30[2005, No.25]
129 The diagram shows two trapezium, PQRS and PTUV.
PTUV is the image of PQRS under an enlargement. The length, in cm, of SR is A.15
C. 25B.24
D. 40
[2006, No.23]
130 In the diagram, OP(Q( is the image of OPQ under an enlargement with centre O.
Given PQ = 4 cm, calculate the length, in cm, of P(Q(.
A. 8
C. 12
B. 10
D. 18
[2007, No.26]
131 The area of an object is 9 cm2 and the area of its image under an enlargement is 144 cm2. Calculate the scale factor of the enlargement.
A. 3
C. 12
B. 4
D. 16
[2008, No.10]
(P) Scale Drawings ( 0 1 mark
132 The diagram is drawn on a grid of equal squares.
Which of the polygon A, B, C and D, is the scale drawing for P ?
[2004, No.23]
(Q) Linear Equations II ( 1 mark
133 In the diagram, each box represents one player. Each player choose to play one of the four games ; soccer (S), hockey (H), netball or chess. Soccer and hockey are shown in the diagram.
SHHSSHH
SHHHSHS
HSS
HHSHH
The number of netball players is twice that of the chess players. Calculate the number of chess players.
A. 6
C. 12
B. 9
D. 13
[2004, No.30]
134 Given that 5x y = 11 and 4x + y = 2. Calculate the value of x.
A.9
C.(1B.6
D.(13[2005, No.29]
135 It is given that 2k = (6 and 3k 4m = (5. Find the value of m.
A.(3.5
C. 1B.(1
D. 3.5[2006, No.28]
136 Given 5x ( 2y = 20 and 3x + 2y = 28, calculate the value of x.
A. 6
C. 4
B. 5
D. 1
[2007, No.27]
137 It is given that x ( 3y = (10 and y = (1. Calculate the value of x.
A. (14
C. (7
B. (13
D. (6
[2008, No.26]
(R) Linear Inequalities ( 1 mark
138 The diagram represents two simultaneous linear inequalities on a number line.
Which inequality represents the common part of both the inequalities ?
A. (1 < x ( 2
C. (1 < x < 2
B. (1 ( x < 2
D. (1 ( x ( 2
[2004, No.28]
139 Solve the inequalities 4 ( 2x ( 10.A.x ( (7
C. x ( (3B.x ( (3
D. x ( (7[2005, No.27]
140 Which of the following represents the solution for the linear inequalities (3 < 5 ( x ( 4 ?A.
C.
B.
D.
[2006, No.27]
141 Solve the following linear inequality : + 2 <
A. x < (8
C. x < 6
B. x < (6
D. x < 8
[2007, No.28]
142 The diagram represents two simultaneous linear inequalities on a number line.
Which of the following inequalities is the solution for both of the inequalities on the number line ?
A. (3 < x < 2
C. (3 ( x < 2
B. (3 ( x ( 2
D. (3 < x ( 2
[2008, No.27]
(S) Coordinates ( 2 3 marks
143 The diagram shows four points on a Cartesian plane.
Which of the point A, B, C and D represents ((3, 2) ?
[2004, No.24]
144 The diagram shows points marked on a grid of equal squares with sides of 1 unit.
Which of the point A, B, C or D, is 5 units from the point P ?
[2004, No.25]
145 T (6, 10) is the midpoint of a straight line joining the point P and Q (14, 7). Find the coordinates of point P.
A. ((2, 13)
C. (8, 13)
B. ((2, 17)
D. (8, 17)[2004, No.38]
146 In the diagram, L is the midpoint of the straight line KM.
Find the value of h.
A.4
C. 7
B.6
D. 8
[2005, No.28]
147 The diagram shows two points, G and H, on a Cartesian plane.
Calculate the distance between the point G and the point H.
A.
units
C. units
B. units
B. units
[2005, No.30]
148 In the diagram, P and Q are points on a Cartesian plane.
If M is the midpoint of PQ, then the coordinates of M is
A. ((2, 4)
C. (3, (1)
B. ((1, 3)
D. (4, (2)[2006, No.38]
149 The diagram is drawn on a Cartesian plane. The points P (3, 6), Q ((3, 2) and S (x, 2) form an isosceles triangle. QRS is a straight line.
The value of x is
A.2
C. 6
B.3
D. 9
[2006, No.39]
150 Find the distance between K ((4, 6) and L (20, (1).
A. 21
C. 29
B. 25
D. 31[2006, No.40]
151 In the diagram, Q is the midpoint of the straight line PR.
The value of h is
A. 7
C. 10
B. 8
D. 12
[2007, No.29]
152 The diagram shows five points on a Cartesian plane.
Which of the following has the same distance as OP ?
A. OQ
C. OS
B. OR
D. OT
[2007, No.30]
153 In the diagram, KLMN is a straight line.
L is the midpoint of KN and M is the midpoint of LN. Find the coordinates of M.
A. (8, 11)
C. (10, 11)
B. (8, 14)
D. (10, 13)
[2008, No.28]
154 The diagram shows points E, F, G, H and P marked on a grid of equal squares with sides of 1 unit.
Which points are equidistant from point P ?
A. E and G
C. F and H
B. E and F
D. G and H
[2008, No.29]
(T) Ratios, Rates and Proportions I, II ( 3 4 marks
155 The ratio of the number of red marbles to the number of white marbles is 5 : 7. The total number of the marbles is 288. Calculate the difference between the number of white and red marbles.
A. 24
C. 120
B. 48
D. 168[2004, No.29]
156 In a Mathematics class, every student is asked to draw (PQR. Amirul draws (PQR such that the ratio of (P : (Q : (R is 6 : 2 : 7. Lina draws (PQR such that the ratio of (P : (Q : (R is 3 : 2 : 5. Find the difference in size between (Q drawn by Lina and (Q drawn by Amirul.
A. 6
C. 18
B. 12
D. 36[2004, No.31]
157 Iqram drives from town P to town Q. The distance between P and Q is 360 km. He leaves P at 0930 hours and arrives at Q at 1330 hours, on the same day. Iqram takes 1 hour longer to return from Q to P. Calculate the average speed, in km/h, of his return journey from Q to P.
A. 40
C. 80
B. 72
D. 90
[2004, No.36]
158 Given that x : y = 2 : 7, calculate the value of x if y = 28.
A. 2
C. 8
B. 4
D. 9[2005, No.31]
159 The ratio of books owned by Ahmad to the books owned by Bobby is 2 : 5. The ratio of books owned by Bobby to the books owned by Chong is 3 : 1. Find the ratio of books that Ahmad, Bobby and Chong own.
A. 2 : 8 : 1
C. 6 : 15 : 5
B. 5 : 8 : 6
D. 10 : 15 : 3[2005, No.35]
160 The diagram shows three packs of peanuts, P, Q and R. Each pack has a different mass and a difference price.
Alisa calculated the price per gram for each pack. Which of the following statements is true ? A.P is cheaper than Q
C. Q is cheaper than P
B.Q is cheaper that R
D. R is cheaper than Q
[2005, No.37]
161 The distance from Bangi to Melaka is 140 km. A bus leaves Bangi at 0830 hour. Its average speed is 80 kmh(1. At what time, in the 24-hour system, does bus arrive in Melaka ?
A. 0915
C. 1005
B. 0935
D. 1015
[2005, No.39]
162 It is given that x : y = 5 : 7 and x + y = 48. The value of x is
A. 4
C. 20
B. 5
D. 28[2006, No.29]
163 The table shows the rate of payment for parking a car.
DurationRate (RM)
First hour2.00
Every additional hour1.50
Amir parks his car for 6 hours. Calculate the total amout he has to pay.A.RM9.75
C. RM13.50B.RM11.00
D. RM18.50[2006, No.30]
164 Ali drives at an average speed of 105 km/h from twon M to town N. The journey takes 3 hours. Ali takes 30 minutes longer for his return journey from N to M. Calculate the average speed, in km/h, for the return journey.
A. 30
C. 90
B. 42
D. 94
[2006, No.31]
165 The table shows the price rates for buying a particular product.First 100 units20 sen per unit
Next 200 units15 sen per unit
Remaining units12 sen per unit
Amirul buys 580 units of the product. Calculate the total amount that he has to pay.
A. RM 68.60
C. RM 80.60
B. RM 78.60
D. RM 83.60
[2007, No.32]
166 Rita, Sara and Tania answered some Mathematics questions in the ratio 4 : 2 : 3, respectively. Rita answered 48 questions. Calculate the total number of questions answered by all three girls.
A. 108
C. 216
B. 144
D. 432
[2007, No.33]
167 The distance from town P to town Q is 120 km. A lorry leaves town P to town Q at 10.00 a.m. The average speed is 80 kmh(1. At what time does the lorry arrive at town Q ?
A. 10.40 a.m.
C. 11.40 a.m.
B. 11.30 a.m.
D. 1.40 p.m.
[2007, No.34]
168 One Baju Melayu suit for a child needs 3 metres of cloth. One Baju Melayu suit for an adult needs 5 metres of cloth. The price of cloth is RM 7.80 per metre. What is the total cost of cloth for 4 Baju Melayu suits for a child and 3 Baju Melayu suits for an adult ?
A. RM 241.80
C. RM 340.60
B. RM 258.70
D. RM 500.50
[2008, No.18]
169 Syarikat J, Syarikat K and Syarikat M donated to a charity fund in the ration of 2 : 1 : 3. The total donation from Syarikat J and Syarikat M was RM 3600. Calculate the amount donated by Syarikat K.
A. RM 300
C. RM 1440
B. RM 720
D. RM 2160
[2008, No.31]
170 The diagram shows the price of durians sold at four stalls, P, Q, R and S.
Which stall sells durians at a price that is proportional to the number of durians ?
A. P
C. R
B. Q
D. S
[2008, No.32]
(U) Statistics ( 4 5 marks
171 The table shows the number of students from four villages. All the information in the table is represented by a pie chart in the below diagram.Village
Number of students
P
10
Q
8
S
13
R
5
Which angles of the sectors are correct ?
A. P and Q
C. P and S
B. R and S
D. Q and R
[2004, No.32]
172 The diagram ia a bar chart which shows the number of co-curricular activities in a school.
The difference between the highest number of activities and the lowest is 12. The number of activities in the month of April is
A. 7
C. 21
B. 14
D. 28
[2004, No.34]
173 Table in below shows the test marks for a group of student.
Mark74788286
Frequency51023
Calculate the mean.
A. 16
C. 78.6
B. 80
D. 92.27
[2004, No.35]
174 Sekolah Menengah St. Peter organized a campaign to collect materials for recycling. The mass of materials collected by eight classes is 5.3 kg, 5.0 kg, 7.5 kg, 5.7 kg, 5.0 kg, 7.0 kg, 6.2 kg and 5.0 kg. The median of the mass, in kg, of the materials is
A. 5.0
C. 5.5
B. 5.3
D. 5.7
[2004, No.37]
175 Table in below shows the number of tins collected by a group of student in a recycle campaign.
Number of tins1015202530
Frequency36542
Calculate the mean number of tins collected by a student.
A. 15
C. 19
B. 16
D. 24[2005, No.26]
176 The table shows the number of goals scored by a football team in a league competition.
Number of goals012345
Frequency137x54
The mode of the number of goals scored by the team is 2. Find a possible value of x.
A. 6
C. 8
B. 7
D. 9
[2005, No.32]
177 The table shows the number of books read by a group of pupils in a week.
Number of books12345
Number of pupils30156
The median for the data isA. 1
C. 4
B. 3
D. 5[2005, No.34]
178 The diagram ia a bar chart which shows the number pupils in SMK Baginda who scored grade A in all the subjects taken in the PMR examination for three consecutive years.
Calculate the difference between the total number of boys and the total number of girls over the three years
A. 2
C. 6
B. 4
D. 10[2005, No.36]
179 The table shows the scores for a group of pupils in a game.
Score12345
Number of students411532
Calculate the percentage number of pupils who obtain scores more that the mode score.
A.40
C. 80
B.60
D. 84
[2006, No.32]
180 The table shows the number of book marks made by a group of pupils.
Number of book marks1011121314
Number of pupils75233
Calculate the mean number of book marks made by a pupil.
A. 10
C. 11
B. 10.5
D. 11.5[2006, No.33]
181 The diagram is a pictograph showing the number of cakes sold in three months.
January( ( (
February( ( ( (
March( (
April
( represents 10 cakes
The price of one cake is RM18. The total sale from those four month is RM2250. Calculate the number of cakes sold in April.
A.25
C. 115
B.35
D. 125
[2006, No.34]
182 The diagram is a pie chart showing the favourite colour of 162 pupils.
Calculate the difference between the number of pupils whose favourite colour is blue and the number of pupils whose favourite colour is red.
A. 9
C. 27
B. 18
D. 63[2006, No.34]
183 The diagram is a pie chart showing the number of members in three clubs
The Karate club has 300 members. How many members are in the Taekwando club ?
A. 70
C. 210
B. 140
D. 280
[2007, No.35]
184 The table is a frequency table showing the match statistics for Pantai Rangers football team. The team receives 3 points for a win, 1 point for a draw and 0 point for a loss.ResultFrequency
Win16
Draw14
Loss10
Which of the following statements is true about the match statistics ?
A. of the matches end with a win.
B. 40 % of the matches end with a loss.
C. The total points obtained by Pantai Rangers team is 72.
D. The ratio of wins to draws is 7 : 8.
[2007, No.36]
185 The diagram shows the distribution of a students quiz marks.5 3 2 4 3 2 p 3 5 4
The mode is 3. Find a possible value of p.
A. 2
C. 5
B. 4
D. 6
[2007, No.37]
186 The table shows the students scores in a gameScore012345
Frequency364132
The median score is
A. 4
C. 2
B. 3
D. 1
[2007, No.38]
187 The diagram is a bar chart showing the number of new vehicles registered over four days.
The total number of new vehicles registered on Wednesday and Thursday is 56. Calculate the total number of new vehicles registered on Monday and Tuesday.
A. 52
C. 64
B. 60
D. 68
[2008, No.33]
188 The table shows the number of books read by a group of students from May to August.MonthMayJuneJulyAugust
Number of books read1350160015501500
Based on the data in table, which of the following statements is not true ?
A. The difference between the highest and the lowest number of books read in a month is 150.
B. The mean number of books read for a month over this four month period is 1500.
C. The total number of books read after June is 3050.
D. The number of books read in August is equivalent to 25% of the total number of books read over the four month period.
[2008, No.34]
189 The diagram is a pie chart showing how 72 students travel to school.
Calculate the difference between the number of students who walk and the number of students who go by bus.
A. 24
C. 34
B. 32.
D. 46
[2008, No.35]
190 The diagram is a pictogram showing the number of students with birthdays from July until December. July
August
September
October
November
December
The total number of students is 120. Calculate the number of students with birthday after September.
A. 20
C. 65
B. 55
D. 85
[2008, No.36]
191 The mean mass of 25 boxing club members is 60 kg. A member with a mass of 84 kg leaves the club. Calculate the mean mass, in kg, of the remaining members.
A. 56.64
C. 60.96
B. 59.00
D. 72.00
[2008, No.37]
(V) Graph of Functions ( 1 2 marks
192 The diagram shows the graph of a function on a Cartesian plane.
The equation that represents the function is A.y = (2x ( 4
C. y = 2x + 4B.y = (2x + 4
D. y = 2x ( 4
[2004, No.40]
193 Which of the following graphs represents y = (x ( 3 ?A.
C.
B.
D.
[2005, No.33]
194 Given a function y = 3x2 ( x + 1, calculate the value of y when x = (2. A.(13
C. 11
B.(9
D. 15[2005, No.38]
195 The table show the values of variables x and y of a function.
x(212
y(513
The function is A.y = 4x + 1
C. y = 2x ( 1B.y = 3x + 1
D. y = x ( 1
[2006, No.36]
196 The diagram shows the graph of a function on a Cartesian plane.
The equation that represents the function is A.y = x + 3
C. y = 2x + 6B.y = x ( 1
D. y = 2x ( 6
[2006, No.37]
197 The table shows the values of variables x and y for the function y = 2x2 ( 3x.x(2(101
ym50(1
Find the value of m.
A. (7
C. 10
B. (2
D. 14
[2007, No.39]
198 Which of the following graphs represents y = (x + 12 ?A.
C.
B.
D.
[2007, No.40]
199 The diagram shows a graph of a function on a Cartesian plane.
What is the equation of the function ?
A. y = 2x
C. y =
B. y = (2x
D. y = (
[2008, No.38]
200 The table shows the values of variables x and y for the function y = 2x2 ( 1.x(1012
yP(11q
Calculate the value of p + q.
A. 4
C. 7
B. 6
D. 8
[2008, No.39]
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