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]
8/11/2019 Matematik Kertas 1 Tingkatan 4
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]
8/11/2019 Matematik Kertas 1 Tingkatan 4
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
8/11/2019 Matematik Kertas 1 Tingkatan 4
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)
8/11/2019 Matematik Kertas 1 Tingkatan 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
8/11/2019 Matematik Kertas 1 Tingkatan 4
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
Top Related