intervensi paper 1 for students
DESCRIPTION
Matematik SPM - Intervensi Kertas 1TRANSCRIPT
KEMENTERIAN PELAJARAN MALAYSIApusat perkembangan kurikulum
KEMENTERIAN PELAJARAN MALAYSIA
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Topic: Standard form1 Round off 0.08305 correct to three significant figures.
A 0.083B 0.084C 0.0830D 0.0831
2 Express in standard form.ABCD
3
A BCD
4 Round off 0.01998 correct to two significant figures. A 0.019
B 0.02
C 0.020
D 0.0200
5 2.43 = A 0.00243
B 0.000243
C 0.0000243
D 0.00000243
6 =
A 2.96 10-5
B 2.96 10-6
C 2.96 10-7
D 2.96 10-8
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7 Express 9.57 x 10-3 as a single number .
A 0·000957 B 0·00957 C 0·0957 D 0·957
8 Express in standard form.
ABCD
9
A BCD
10
ABCD
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Topic: Number bases
1 Convert 2178 as a number in base 2.
A 100011112
B 100111102
C 111001102
D 110101112
2 Given that 26 + 20 + 111102 = N.
Value of N in base two , is
A 1011111
B 1001111
C 1000111
D 1000011
3
ABCD
4 Express as a number in base five.
A 234B 2034C 2304D 3034
5 Express as a number in base five.
A 24B 204C 2004D 3004
6
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ABCD
Topic: Polygons
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1
In DIAGRAM 1 , KLMP and MNOP are two rhombus. KPN is a straight line. The value of x is
A 130
B 140
C 150
D 160
2 Diagram 2 shows a pentagon ABCEF. ABF is an isosceles triangle and DEF is a straight line.
DIAGRAM 1
The value of x + y =A B
CD
3 In Diagram 1, GHJKLM is a regular hexagon. HJN and MKN are straight lines.
50o
65o125o
xo
yo
A
B
C
D
E
Fxo
O
K PN
ML
x
120
DIAGRAM 1
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DIAGRAM 1
The value of x =
ABCD
4 Diagram 2 shows a rhombus PQRS.
RAJAH 2
Find the value of z
A
B
C
D
Topic : Circles
N J Hxo
G
ML
K
P
Q R
S
3xz
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1 In Diagram 2, LJK is a tangent to the circle JNM at J and KMN is a straight line. Arc MN = Arc MJ
Nilai x ialahA 15ºB 25ºC 35ºD 65º
2 In Diagram 3, DCE is a tangent to the circle ABC at C. O is the centre of the circle.
DIAGRAM 3The arc AB is of the same length as the arc BC. The value of x is
A
B
C
DTOPIC:VARIATIONS
K
M
N
x
55º
DIAGRAM 2
J
RAJAH 3
O50º xD
A
B
L
CE
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1. If p q2 and q = 3 when p = 36, the value of q when p = 64 is
A ½B 3C 4 D 6
2. If R varies directly as and R = 10 when S = 25, find the value of R when S = 9.
A 2B 3C 5D 6
3. Given that M and M = 4 when P = 6 and T = 3, express M in terms of P and T.
A M =
B M =
C M = 3PT2
D M =
4. Given that E and E = when F = 12 and G = 16, find the value of G when E = 4
and F = 8.
A
B
C 2D 4
5. It is given that y varies directly as the square root of x and y = 6 when x = 9. Calculate the value of x when y = 10.
A 5
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B 10C 15D 25
6. P varies directly as the cube of q and inversely as r. The relationship between P, q and r is
A P
B P
C P
D P
7. Table 1 shows some values of variables m, n and h such that m varies directly as the square root of n and inversely as h.
m 3 3n 36 81h 10 15
Table 1
Find the relationship between m, n and h.
A m =
B m =
C m =
D m =
8. It is given that y varies directly as xm and y = 8 when x =1. Calculate the value of m when y = 72 and x = 3.
A 1B 2C 3
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D 4
9. Table 2 shows the relationship between three variables w, t and h.
w t h2 2 44 m 9
Table 2
Given that w , calculate the value of m.
A 3B 6C 12D 18
10.p 1 2q 12 3
Table 3Based on Table 3, if q varies inversely as the square of p. Find the reaction between q and p.
A q = 12p2
B q = p2
C q =
D q =
TOPIC : MATRICES
1. - + =
A.B.
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C.D.
2. Given that = ( 18 ), find the value of x.
A. 9B. 4C. -3D. -6
3. =
A.
B.
C.
D.
4. Given the matrix equation 2 + k = , find the value of h+kA. 4B. 8C. 10D. 11
5. 2 - =
A.
B.
C.
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D.
6. Given = , calculate the value of k
A. 8B. 3C. -1D. -12
7. Given the matrix equation 3 - k = , find the value of h – kA. 5B. 9C. 25D. 45
8. =
A.
B.
C.
D.
9. Given that 2 + = , calculate the value of k.
A. -2B. -1C. 1D. 2
10. Given = , calculate the value of x and y.
A. x = - , y = -5
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B. x = , y = -5
C. x = 5, y = -
D. x = 5, y =
TOPICS: BEARING
1 North
B
580
A DIAGRAM 1
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In Diagram 1, point A and point B are two points on a horizontal ground. The bearing of point B from point A is
A 0320
B 0580
C 2320
D 3020
2 North
V
620
W DIAGRAM 2
In Diagram 2, point V and point W are two points on a horizontal ground. The bearing of point V from point W is
A 0620
B 1520
C 2320
D 2980
3 North
L DIAGRAM 3
530
K
In Diagram 3 , point K and point L are two points on horizontal ground. What is the bearing of point L from point K
A 0370
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B 0530
C 3070
D 3530
4 Diagram 4 shows the position of point P and Q.
North
North 1450
P DIAGRAM 4
Q
Find the bearing of point P from point Q
A 0350
B 0550
C 1250
D 2150
5. Point E , F and G lie on a horizontal ground. Point F is due north of point G. The bearing of point F from point E is 0750 and the bearing of point E from point G is 3050. Which of the following diagrams shows the location of point E, F and G ?
A North B North F
F E
G
E G
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C North D North
G F
E
F E
G
6. In Diagram 5, points M, P, Q and R are on a horizontal plane.
M is due south of R. Given that MP = MQ and the bearing of P from M is 2500. Find the bearing of Q from M.
A 3300
B 3000
C 2500
D 1500
7
Q DIAGRAM 6720
1250
P
R
Diagram 6 shows three point, P,Q and R, on a horizontal ground. The bearing of point R from point Q is
DIAGRAM 5
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A 0720
B 1080
C 1270
D 2350
8 In Diagram 7, P, Q and R are points on a horizontal plane with PQ = PR. P is due north of Q and the bearing of R from P is 126° .
The bearing of Q from R is
A 063° B 243° C 270° D 306°
9. P
250 North
Q DIAGRAM 8
M
Diagram 8 shows three points, M, P and Q, on a horizontal ground. If the bearing of point M from point P is 1280, find the bearing of point P from point Q
DIAGRAM 7
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A 025°B 155°C 283°D 355°
10 North
pDIAGRAM 9
R
Q
Diagram 9 shows point P, Q and R which lie on a level ground. If the bearing of point Q from point P is 1050 and PQ = QR, then the bearing of point R from point Q is
A 075°B 105°C 255°D 305°
TOPICS: PROBABILITY 1.A factory employs 45 workers. Eighteen of them are men. A worker is picked at random from the factory. What is the probability of picking a man?
A
B
C
D
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1. Set M = {8, 12, 23, 39, 42, 51, 61, 73, 88}. An element is chosen at random from set M. What is the probability of choosing a prime number?
A
B
C
D
2. A box contains 30 coloured marbles. 12 of them are green marbles. A marble is picked at random from the box. What is the probability that it is not a green marble?
A
B
C
D
3. P is the event of rolling a dice . Which of the following represents the possibleoutcomes of the event of obtaining a prime number or a number that is greater than 2?
A { 3, 5}
B { 2, 3, 5}
C { 3, 4, 5, 6}
D {2, 3, 4, 5, 6}4. Given that box A contains 6 cards numbered from 2 to 7 and box B contains 2
white cards and 4 black cards. What is the probability of obtaining an even number and a white card?
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A
B
C
D
5. There are eight boys in a group of students. If a student is picked at randomFrom the group, the probability of picking a boy is 1/5. It is given that theNumber of girls who wear glasses in the group is 4. If a student is picked at random from the group, what is the probability of picking a girl who does not wear glasses?
A
B
C
D
6. A box contains 25 blue balls and several yellow balls. If a ball is drawn at random From the box, the probability of drawing a blue ball is 5/8. If x black balls areAdded and a ball is drawn, then the probability of drawing a black ball is 1/6.The value of x is
A 5
B 8
C 15
D 20
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7. Wan has 75 bags of graded eggs. 30 bags are grade P eggs and the rest are grade B And grade C eggs. If a bag is picked at random, the probability of picking a bag of Grade B eggs is 1/3. Calculate the probability of picking a bag of grade C eggs.
A
B
C
D
8. A jar contains 1 yellow, 1 red and 2 blue marbles. 2 marbles are chosen at random From the jar one after another with replacement. Find the probability that the first marble chosen is red and the second one is blue.
A
B
C
D
10. The table shows the probabilities of the customers choosing brands X, Y and Z.
Brand X Y ZProbability 11/24 3/8 1/6
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If a survey is carried out on 1200 customers, find the number of customers who Choose brand Y or Z.
A 550
B 650
C 680
D 700
ANSWER PROBABILITY
1. C2 C3 C4 D5 A6 C7 B8 A9 B10 B