Matematik Kertas 1 Tingkatan 4

8/11/2019 Matematik Kertas 1 Tingkatan 4

1/6

1. Round off 50941 correct to three significant

figures.A. 509

B. 510

C. 50 940

D. 50 900

[SPM Nov 2006 Q1

2. Express 351 000 in standard form.

A. 31051.3

B. 51051.3

C. 31051.3

D. 51051.3 [SPM Nov 2006 Q2]

3. 7103.10000025.0

A. 6102.1

B. 7102.1

C. 61037.2

D. 71037.2 [SPM Nov 2006 Q3]

4. A rectangular floor has a width of 2 400 cm

and a length of 3 000 cm. The floor will becovered with tiles. Each tile is a square of side

20 cm.

Calculate the number of tiles required to cover

the floor fully.

A. 4108.1

B. 8108.1

C. 4106.3

D. 8106.3

5. Round off 30 106 correct to three significantfigures

A. 30 000B. 30 100C. 30 110

D. 30 200[SPM Nov 2007 Q1]

6. Express 410205.1 as a single number.

A. 1 205B. 12 050

C. 1 205 000

D. 12 050 000[SPM Nov 2007 Q2]

7. 51060078.0

A. 31083.1

B. 51083.1

C. 31074.7

D. 51074.7 [SPM Nov 2007 Q3]

8. Round off 0.6782 correct to two significant

figures.

A. 0.60B. 0.67

C. 0.68

D. 0.70[SPM Nov 2008 Q1]

9. Express 0.0000101 in standard form.

A. 61001.1

B. 51001.1

C. 51001.1

D. 61001.1 [SPM Nov 2008 Q2]

10. 1415

102.6101.3

A. 141072.3

B. 141051.6

C. 151072.3

D. 151051.6 [SPM Nov 2008 Q3]

11. 61060078.0

A. 310794.7

B. 610794.7

C. 2102.7

D. 5102.7 [SPM Jun 2006 Q2]


2/6

2. Linear Equation 3. Quadratic expansion

November 2003

1. Given that p3

1+ 1 = 4, thenp=

A. 1 B. 9C. 11 D. 15

July 2004

2. Given that 7(k3) = 1 4k, then k=

A. 2 B. 7

C.3

4 D.

11

4

November 2004

3. Given that 3k4 = 5(2 k) then k=

A.

7 B.

3C.

2

7 D.

4

7

July 2005

4. Given that4

5

2

h, then h=

A.5

8 B.

8

5

C.

2

5 D.

2

3

November 2005

5. Given that 10 3(2 w) = 9w+ 2, calculate thevalue of w.

A.6

1 B.

4

1

C.3

1 D.

5

2

July 2006

6. Given that 9 3(k2) = 0 , then k=

A. 1 B. 2C. 5 D. 8

7. Given that ),3(242

5kk then k

A.12

17 C.

6

17

B.10

17 D.

4

17

[SPM Nov 2006 Q22]

8. Given that ,125

1

x

xfind the value ofx.

A.9

2 C.

9

5

B.11

4 D.

3

2

[SPM Nov 2007 Q22]

9. Given that ,4

)21(32

pp

calculate the

value ofp.

A.2

1 C.

10

1

B.5

1 D.

6

1

[SPM Nov 2008 Q22]

10. Given that ,0)2(39 k then k

A. 1 C. 5

B. 2 D. 8

[SPM Jun 2006 Q22]

11. Given that ,3)8(39 kk find the value

of k.

A. 9 C. 15

B. 1 D. 18

[SPM Jun 2007 Q23]


3/6

4. Sets

1. Given that the universal set .GFE

SetE= {2,4,6,8,10,14,16},setF= {2,4,6,8,10,12}and set G= {2, 4, 14}.The Venn diagram that represents therelationship between setE, setFand set Gis

A C

B D

[J 2004 Q31]

2. Given that P= {3, 4, 5, 6, 7}, Q= {6, 8, 10, 14}and R= { 10, 16, 20} and the universal set

.RQP Which of the following Venn

diagrams represent the relationship between setsP,QandR?

A C

B D

[J2005 Q31]

3. The Venn diagram below shows the elements of

the universal set , setPand Q.

List the elements of set P .A { 5, 6 }

B { 7, 8 }

C { 1, 2, 3, 4 }

D { 5, 6, 7, 8 }[J 2005 Q30]

4 Given that the universal set

,101:{ xx xis an integer},

setP= {x: xis an odd number} andset Q={x: xis a prime number}.

The elements in the setP Q are

A 1, 3, 5, 7 C 1, 2, 9

B 3, 5, 7 D 1, 9 [J2004 Q32]

5 Given thatM= { 4, 6}.List all the subsets ofM.

A {4,}, {6}

B , {4}, {6}

C {4}, {6}, {4, 6}

D , {4}, {6}, {4, 6}

[ J2005 Q29]

6 Given thatP= { 2, 3, 5, 6, 7, 9}, one of the subsets

of setPis

A { 2, 3, 5, 7 } C { 1, 2, 3, 4 }

B { 1, 2, 3, 5, 7 } D { 5, 6, 7, 8 }

[J2006 Q28]

7 It is given that the universal set,

= {x: 5 ,13x xis an integer} and

setP= {x: 5 ,13x xis a prime number }.

List all the elements of set P .

A { 6, 8, 9, 10, 12 }B { 5, 7, 9, 11, 13 }

C { 6, 8, 10, 12 }D { 5, 7, 11, 13 }

[J 2007 Q31]

8 Diagram 128 is a Venn diagram showing setPandset S. It is given thatP= {hockey players},

S= { badminton players } and the universal set

.SP

Diagram 128

If n(P) = 27, n(S) = 36 and n(P S) = 8,

find n(P ).S

A 71 C 55B 63 D 47

[J 2007 Q32]

G

EF

EF

G

E

FG

EF

G

Q RP

Q RP

Q RP

QRP

SP

Q

P

61 23 4

7

5

8


4/6

5. The straight line

1 Diagram 171,PQR is a straight line and Ois the

origin.

Diagram 171

Find the gradient ofPOR. [ J 2007 Q33]

A

3

5 C

5

3

B

5

3 D

3

5

2. A straight line has a gradient of

7

3 and passes

through the point (0, 6).

Thex-intercept of the straight line is

A 14 B 6C 6 D 14

]

3. The straight liney+ mx4 = 0 passes

through the point (6, 8).Find the value ofm.

A 6

B

2C 2 D 6

4. State thex-intercept of the straight line3y2x11 = 0.

A

3

11 B

3

11

C

2

11 D

2

11

[ J 2006 Q30]

5. The straight linePQhas a gradient of 2. Thecoordinates of pointPis (0, 6). Thex-interceptof the straight linePQis

A 3 B3

1

C3

1 D 3

6. The gradient of the straight line

4y3

2x= 8 is

A6

1 B

3

8

C 2 D 6

7. Diagram 177 shows a straight lineRSwith

gradient of3

4 .

They-intercept of the straight lineRSis

A 4 C 12

B 9 D 16

[ J 2005 Q33]

8. Diagram 178 shows a straight lineMNon aCartesian plane.

The gradient of the straight lineMNis

A

12

5

C

9

2

B11

6 D

8

3

[ J 2004 Q33]

R(3, 5)

xO

P y

DIAGRAM 177

DIAGRAM 178

R(12, 0) O

y

S

x

0

M(2, 1)

y

x

N(10,4)


5/6

5. Statistics

1. The bar chart shows the number of books sold in abook store in 6 months.

Calculate the percentage of books sold in April.

A. 20 C. 24B. 22 D. 26

2.The table shows the marks obtained by 50 students

in a Geography test.

Marks No. of Students

0 3940 49

50 5960 7980 100

58

9217

Calculate the percentage of students who obtained

more than 49 marks.

A. 40 C. 60B. 56 D. 74

3

The line graph shows the sale of chocolate cakesin a week. Given that a piece of chocolate cake

costs RM0.60, calculate the sale of chocolatecakes on Saturday and Sunday.

A. RM60 C. RM96B. RM100 D. RM160

4. The frequency table shows the number of books inthe bags of a group of students.

Given that the mode is 6 books, find the greatest

possible value of a.

A. 5 C. 6B. 7 D. 8

5. The pictogram shows the number of students whoobtained grade A in three history tests.

January

Mac

May

represents 6 students

The average number of students who scored A

in a month is

A. 10 C. 18B. 16 D. 26

6. The pictogram shows the number of pencils ownedby Ali, Lim and Bala.

AliLim

Bala

representsxpencils

Find the value ofxif the total number ofpencils is 36.

A. 3 C. 5

B. 4 D. 6

7. The table shows the scores and their respective

frequencies in a match.

What is the mode score?

A. 2 C. 4B. 3 D. 5

Number of books 2 3 4 5 6

Frequency 4 6 5 a 8

Scores 1 2 3 4 5

Frequency 3 5 8 4 6

Jan Feb Mac Apr May June

4080

120

160200

240

No. of

books

M Days

20

40

60

80100

Sale

ofchocolate

cakes

0 T W T F S S


6/6

6. Probability I

1 In a group of 90 students 70 are girls. Another 10boys then join the group. If a student is chosen atrandom from the group, state the probability that the

student chosen is a boy.

A9

2 B

9

7

C

10

1 D

10

3

SPM 2003 Q37

2. A jar contains 240 sweets of orange, lychee andcoffee flavour. There are 90 orange flavouredsweets. If a sweet is picked at random from the jar,the probability of picking a lychee flavoured sweet

is3

1. How many coffee flavoured sweets are

there?

A 10 B 50

C 70 D 80

SPM 2003 Q38

3. Diagram shows some number cards.

A card is picked at random. State the probability that

a prime number is picked.

A3

2 B

3

1

C2

1 D

6

1

SPM 2004 Q35

4. Irma has a collection of stamps from Kelantan,Perak and Sarawak. She picks one stamp at random.

The probability of picking a Perak stamps is9

4

and the probability of picking a Sarawak stamp is

3

1. Irma has 10 Kelantan stamps. Calculate the

total number of stamps in her collection.

A 20 B 25

C 45 D 90SPM 2004 Q36

5. 20 coupons with serial number 21 to 40 are put in abox. One coupon is drawn at random. Theprobability of drawing a coupon with a numberwhich is not a multiple of 5 is

A5

1 B

5

2

C

5

3 D

5

4

SPM 2004 Q38

6.Table shows the distribution of a group of 90 pupilsplaying a game.

Form Four Four Five

Girls 33 15

Boys 18 24

A pupil is chosen at random from the group tostart the game. What is the probability that a girl

from Form Four will be chosen?

A30

11 B

15

7

C15

8 D

17

11

7 A container holds 28 yellow marbles and a number

of green marbles. A marble is picked at randomfrom the container. The probability of picking a

yellow marble is8

7. How many green marbles are

there in the container?

A 4 B 8

C 21 D 24SPM 2005 Q35

8 It is given that set G is { 1, 2, 3, 5, 6, 7, 8, 9, 13, 14,15} . A number is chosen at random from theelements of set G. Find the probability that the

number chosen is a prime number.

A11

4 B

11

5

C11

6 D

11

7

13 21 27

29 33 35

Matematik Kertas 1 Tingkatan 4

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