Intervensi Paper 1 for Students

28
KEMENTERIAN PELAJARAN MALAYSIA pusat perkembangan kurikulum KEMENTERIAN PELAJARAN MALAYSIA student’s copy 1449/1 Topic: Standard form 1 Round off 0.08305 correct to three significant figures. A 0.083 B 0.084 C 0.0830 D 0.0831 2 Express in standard form. A B C D 3 A B C D 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 =

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Matematik SPM - Intervensi Kertas 1

Transcript of Intervensi Paper 1 for Students

Page 1: Intervensi Paper 1 for Students

KEMENTERIAN PELAJARAN MALAYSIApusat perkembangan kurikulum

KEMENTERIAN PELAJARAN MALAYSIA

student’s copy 1449/1

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

Page 2: Intervensi Paper 1 for Students

pusat perkembangan kurikulumKEMENTERIAN PELAJARAN MALAYSIAKEMENTERIAN PELAJARAN MALAYSIAKEMENTERIAN PELAJARAN MALAYSIA

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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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student’s copy 1449/1

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

Page 18: Intervensi Paper 1 for Students

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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?

Page 20: Intervensi Paper 1 for Students

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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