Set soalan e xcel maths paper 1

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1449/1 [Lihat sebelah
SULIT
JABATAN PELAJARAN NEGERI SABAH
SIJIL PELAJARAN MALAYSIA 1449/1
EXCEL 11
MATHEMATICS
Paper 1
2011
1 Hour 15 Minutes One hour and fifteen minutes
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. This question paper consists of 40 questions.
2. Answer all questions.
3. Answer each question by blackening the correct space on the answer sheet.
4. Blacken only one space for each question.
5. If you wish to change your answer, erase the blackened mark that you have done. Then
blacken the space for the new answer.
6. The diagram in the questions provided are not drawn to scale unless stated.
7. A list of formulae is provided on pages 2 to 4.
8. A booklet of four-figure mathematical tables is provided.
9. You may use a non-programmable scientific calculator.
This paper consists of 20 printed pages

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MATHEMATICAL FORMULAE
RUMUS MATEMATIK
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
Rumus-rumus berikut boloeh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah
yang biasa digunaan.
1 nmnm
aaa 

2 nmnm
aaa 

3 mnnm
aa )(
4 









ac
bd
bcad
A
11
5 Distance/ jarak
= 2
21
2
21 )()( yyxx 
6 Midpoint/ Titik tengah





 

2
,
2
),( 2121 yyxx
yx
7 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑠𝑝𝑒𝑒𝑑 =
𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑟𝑎𝑣𝑒𝑙𝑙𝑒𝑑
𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛
𝑃𝑢𝑟𝑎𝑡𝑎 𝑙𝑎𝑗𝑢 =
𝑗𝑎𝑟𝑎𝑘 𝑦𝑎𝑛𝑔 𝑑𝑖𝑙𝑎𝑙𝑢
𝑚𝑎𝑠𝑎 𝑦𝑎𝑛𝑔 𝑑𝑖𝑎𝑚𝑏𝑖𝑙
8 Mean =
dataofnumber
dataofsum
𝑀𝑖𝑛 =
ℎ𝑎𝑠𝑖𝑙 𝑡𝑎𝑚𝑏𝑎ℎ 𝑛𝑖𝑙𝑎𝑖 𝑑𝑎𝑡𝑎
𝑏𝑖𝑙𝑎𝑛𝑔𝑎𝑛 𝑑𝑎𝑡𝑎
9 Mean =
sfrequencieofsum
frequency)markclass(ofum s
𝑀𝑖𝑛 =
ℎ𝑎𝑠𝑖𝑙 𝑡𝑎𝑚𝑏𝑎ℎ ( 𝑛𝑖𝑙𝑎𝑖 𝑡𝑖𝑡𝑖𝑘 𝑡𝑒𝑛𝑔𝑎ℎ 𝑘𝑒𝑙𝑎𝑠 𝑥 𝑘𝑒𝑘𝑒𝑟𝑎𝑝𝑎𝑛)
ℎ𝑎𝑠𝑖𝑙 𝑡𝑎𝑚𝑏𝑎ℎ 𝑘𝑒𝑘𝑒𝑟𝑎𝑝𝑎𝑛
10 Pythagoras Theorem /
Teorem Pithagoras
222
bac 
11 𝑃( 𝐴) =
𝑛(𝐴)
𝑛(𝑆)
12 )(1)'( APAP 
13
12
12
xx
yy
m



14
erceptx
ercepty
m
int
int



𝒎 = −
𝒑𝒊𝒏𝒕𝒂𝒔𝒂𝒏 − 𝒚
𝒑𝒊𝒏𝒕𝒂𝒔𝒂𝒏 − 𝒙

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SHAPES AND SPACE
1 Area of trapezium = heights
2
1
 sidesparallelofum
Luas trapezium =
1
2
× ℎ𝑎𝑠𝑖𝑙 𝑡𝑎𝑚𝑏𝑎ℎ 𝑑𝑢𝑎 𝑠𝑖𝑠𝑖 𝑠𝑒𝑙𝑎𝑟𝑖 × 𝑡𝑖𝑛𝑔𝑔𝑖
2 Circumference of circle = rd  2
Lilitan bulatan = d = 2j
3 Area of circle = 2
r
Luas bulatan = j2
4 Curved surface area of cylinder = rh2
Luas permukaan melengkung silinder = 2jt
5 Surface area of sphere = 2
4 r
Luas permuaan sfera = 4j2
6 Volume of right prism = cross sectional area  length
Isipadu prisma tegak = luas keratan rentas  panjang
7 Volume of cylinder = hr2

Isipadu silinder = j2t
8 Volume of cone = hr2
3
1

Isipadu kon =
1
3
𝜋𝑗2
𝑡
9 Volume of sphere = 3
3
4
r
Isipadu sfera = 3
3
4
r
10 Volume of right pyramid = 
3
1
luas tapak tinggi
Isipadu piramid tegak =
1
3
× 𝑙𝑢𝑎𝑠 𝑡𝑎𝑝𝑎𝑘 × 𝑡𝑖𝑛𝑔𝑔𝑖
11 Sum of interior angles of a polygon
Hasil tambah sudut pedalaman poligon
=

180)2( n

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12 
360
centreatsubtendedangle
circleofncecircumfere
lengtharc

𝑝𝑎𝑛𝑗𝑎𝑛𝑔 𝑙𝑒𝑛𝑔𝑘𝑜𝑘
𝑙𝑖𝑙𝑖𝑡𝑎𝑛 𝑏𝑢𝑙𝑎𝑡𝑎𝑛
=
𝑠𝑢𝑑𝑢𝑡 𝑝𝑢𝑠𝑎𝑡
360 𝑜
13 
360
centreatsubtendedangle
circleofarea
sectorofarea

𝑙𝑢𝑎𝑠 𝑠𝑒𝑘𝑡𝑜𝑟
𝑙𝑢𝑎𝑠 𝑏𝑢𝑙𝑎𝑡𝑎𝑛
=
𝑠𝑢𝑑𝑢𝑡 𝑝𝑢𝑠𝑎𝑡
360 𝑜
14 Scale factor,
PA
PA
k
'

Faktor skala, k =
𝑃𝐴′
𝑃𝐴
15 Area of image = 2
k area of object
Luas imej = k2  luas objek

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Answer all question.
1 Round off 0.0856 correct to two significant figures.
Bundarkan 0.0856 betul kepada dua angka bererti.
A 0.08
B 0.09
C 0.085
D 0.086
2 Express 0.0000368 in standard form.
Ungkapkan 0.0000368 dalam bentuk piawai.
A 3.68  105
B 3.68  104
C 3.68  10 -5
D 3.68  10 -4
3 5
10800013.0 
 =
A 3
101.2 

B 4
101.2 

C 8
101.2 

D 9
101.2 

4 The net weight of a small packet of instant coffee is 2.0 10-2 kg. A box contains 50 kg of
instant coffee powder.
Estimate the number of packets of instant coffee that can be packed from the box of instant
coffee powder.
Berat bersih sebungkus kopi segera ialah 2.0 10-2 kg. Satu kotak mengandungi 50 kg serbuk
kopi segera..
Anggarkan bilangan bungkusan kopi segera yang dapat dibungkus daripada serbuk kopi
segera dalam kotak itu.
A 1.0  104
B 1.0  103
C 2.5  104
D 2.5  103
5 State the value of digit 4 in the number 24305 , in base ten.
Nyatakan nilai digit 4 bagi nombor 23405 , dalam asas sepuluh.
A 20
B 25
C 100
D 400

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6 100112 – 11102 =
A 1012
B 1112
C 10012
D 10102
7 In the Diagram 1, PQRSTU is a regular hexagon and UV= PV.
Dalam Rajah 1, PQRSTU adalah sebuah heksagon sekata dan UV = PV.
Find the value of x.
Cari nilai x.
A 120
B 150
C 165
D 195
8 In Diagram 2, PTU is an equilateral triangle and STU is a straight line.
Dalam Rajah 2, PTU ialah segi tiga sama sisi dan STU ialah garis lurus.
Calculate the value of x + y
hitung nilai bagi x + y
A 175
B 260
C 320
D 545
P
QR
S
UT
V
xo
Diagram 1
Rajah 1
30o
R
S
Q
P
U
x°
y°
T
130°
Diagram 2
Rajah 2
1150
80°

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9 In Diagram 3, EFGH is a tangent to the circle at F. JKF is a straight lines.
Dalam rajah 3, EFGH ialah tangent kepada bulatan di titik F. JKF ialah garis lurus.
Find the value of p.
Cari nilai p.
A 100
B 110
C 115
D 125
10 Diagram 4 shows five points on a Cartesian plane. Point Q is the image of point P under the
translation (
−3
4
)
Rajah 4 menunjukkan lima titik di atas satah Cartesan. Titik Q ialah imej bagi titik P dibawah
suatu translasi (
−3
4
)
Which of the points labeled A, B, C and D , reperesent P
Antara titik A, B, C dan D yang manakah mewakili P.
Diagram 4
Rajah 4
y
x
0
-4
-2
-2
2
4
642
D
C
B
Q
A
Diagram 3
Rajah 3
E
F G H
J
K
L
55o
2400
p0

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12 Diagram 6 shows the graph of y = tan xo
Rajah 6 menunjukkan graf y = tan xo
State the value of k
Nyatakan nilai k
11 Diagram 5 shows two Squares PQRS and KLMN drawn on a square grid.
Rajah 5 menunjukkan dua segiempat sama PQRS dan KLMN, dilukis pada grid segiempat
sama.
KLMN is the image of PQRS under an enlargement. Find the centre and scale factor of the
enlargement.
KLMN ialah imej bagi PQRS dibawah suatu pembesaran.Cari pusat dan faktor skala pembesaran itu.
Centre of enlargement
Pusat pembesaran
Scale factor
Faktor skala
A Titik P 2
B Titik P 1
2
C Titik O 3
D Titik O 1
3
Diagram 5
Rajah 5
P
K
Q
L
M
N
R
S O
k00
y
x
Diagram 6
Rajah 6

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A 900
B 1800
C 2700
D 3600
13 In Diagram 7, point X and point Y lie on the arc of a unit circle with centre O.
Dalam rajah 7, titik X dan titik Y terletak pada lengkok suatu bulatan unit berpusat O.
Find the value of sin xo + kos yo
Cari nilai sin xo + kos yo
A 0.17
B 0.98
C 1.58
D 1.71
14 Diagram 8 shows a cuboid with a horizontal base EFGH . Name the angle between the plane
JFG and the plane FGML.
Rajah 8 menunjukkan sebuah kuboid dengan tapak mengufuk EFGH . Namakan sudut di
antara satah JFG dan satah FGML.
A JFL
B JFM
C JGM
D JGF
Diagram 7
Rajah 7
y
xO
X(0.34, 0.94)
Y(-0.77, 0.64)
xo
yo
E
H
F
G
J
LK
M
Diagram 8
Rajah 8
E
E
E
E
E
E
E

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15 Diagram 9 shows a vertical pole, PQ , on a horizontal plane.
Rajah 9 menunjukkan sebatang tiang tegak, PQ, yang terletak pada suatu satah mengufuk.
The angle of elevation of point P from point R is 42o. Calculate the distance, in m , of QR.
Sudut dongakan puncak P dari Titik R ialah 420. Hitungkan jarak, dalam m, bagi QR.
A 13.51
B 16.66
C 18.03
D 22.42
16 Diagram 10 shows a man in a lift descending from P to Q.
Rajah 10 menunjukkan seorang lelaki dalam sebuah lif yang sedang menurun.
Given that the angle of depression of point R from the eye level of the man when he is at P
and Q are 62o and 44o respectively. Calculate the distance, in m, of PQ.
Diberi sudut tunduk titik R dari aras mata lelaki bila dia berada di P dan Q adalah masing-
masing 62o dan 44o. Hitung jarak, dalam m, bagi PQ.
A 1.88
B 9.15
C 15.78
D 18.81
Diagram 9
Rajah 9
P
R Q
15 m
Diagram 10
Rajah 10
P
Q
R
Lantai mengufuk
T10 m

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17 Diagram 11 shows three points, E, F and G, on a horizontal plane. E lies due west of G and
the bearing of F from G is 240o
.
Rajah 11 menunjukkan kedudukan titik E , F dan G, yang terletak pada suatu satah
mengufuk. E berada ke barat G dan bearing F dari G ialah 240o.
Find the bearing of F from E.
Cari bearing F dari E
A 055o
B 125o
C 1450
D 2150
18. In diagram 12, NOS is the axis of the earth. POQ is the diameter of the earth.
Dalam rajah 12 , NOS ialah paksi bumi. POQ ialah diameter bumi.
Find the position of point Q
Cari kedudukan titik Q
A (55o S, 80oW) / (55o S, 80oB )
B (35o S, 80oW) / (35o S, 80oB )
C (55o S, 100oW) / (55o S, 100oB )
D (35o S, 100oW) / (35o S, 100oB )
Diagram 11
Rajah 11
E
F
G
25o
Diagram 12
Rajah 12
N
S
O
P
Q
55o
100o E
100o T

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19 (2m – n)2
– (4mn - n2
) =
A 4m2 – 8mn
B 4m2 – 4mn
C 4m2 – 4mn – 2n2
D 4m2 – 8mn + 2n2
20.
20
Express
𝑝
2( 𝑝−1)
÷
4𝑝2
( 𝑝+1)
as a single fraction in its simplest form.
Ungkapkan
𝑝
2( 𝑝−1)
÷
4𝑝2
( 𝑝+1)
sebagai satu pecahan tunggal dalam bentuk termudah.
A
pp
p
88
1
2


B
pp
pp
44
)1(
2


C
  11
3
 pp
p
D
 18
1
p
21 Given that
4
1 x
y

 express x in terms of y.
Diberi
4
1 x
y

 , ungkapkan x dalam sebutan y.
A 12  yx
B 14  yx
C 12 2
 yx
D 14 2
 yx
22 Given that x
x


1
2
34
, calculate the value of x.
Diberi x
x


1
2
34
, hitung nilai x.

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A 4
B 6
C
2
5
D
3
5
23 4 3
13
A
4
3
13
1






B
3
4
13
1






C 4
3
13
D 13 3
4
24 Simplify:
Ringkaskan:
 
 3
1
69
2
1
26
16
en
en 

A 33
4 
en
B 33
8 
en
C en3
4
D en3
8
25 It is given that 82  x and 1031  y , where x and y are integers.
Find the maximum value of x – y.
Diberi bahawa 82  x dan 1031  y , dengan keadaan x dan y ialah integer.
Cari nilai terbesar bagi x – y.
A 10
B 11
C 12
D 13

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26 List all the integers w which satisfy both the simultaneous linear inequalities 1
4
1
x and
1)1(43  xx .
Senaraikan semua integer x yang memuaskan kedua-dua ketaksamaan linear serentak 1
4
1
x
dan 1)1(43  xx .
A – 2, – 1, 0, 1, 2, 3
B – 2, – 1, 0, 1, 2, 3, 4
C – 3, – 2, – 1, 0, 1, 2, 3
D – 3, – 2, – 1, 0, 1, 2, 3, 4
27 Diagram 13 is a bar chart showing the number of coconuts sold by Ahmad in five days.
Rajah 13 ialah carta palang yang menunjukkan bilangan kelapa yang dijual oleh Ahmad dalam
tempoh lima hari.
Find the mean number of coconuts sold per day.
Cari min kelapa yang dijual sehari.
A 150
B 200
C 250
D 300
Diagram 13
Rajah 13
Isnin Selasa Rabu Khamis Jummat
Number
of coconuts
Bilangan
kelapa
Mon
50
0
100
150
200
250
Tues Wed Thur Fri

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28 Diagram 14 is a pictograph shows the sale of books in a particular week. The numbers of
mathematics and science books sold are not shown.
Rajah 14 ialah pictogram yang menunjukkan jualan buku dalam satu minggu yang tertentu.
Bilangan jualan buku matematik dan buku sains tidak ditunjukkan.
English Books
Buku Inggeris

Mathematics Books
Buku Matematik
Science Books
Buku Sains
 represents 15 copies of books.
The sales of english, mathematics and science books are in the ratio 4 : 3 : 5. Find the total
number of mathematics and science books sold in the week.
Jualan buku inggeris, buku matematik dan buku sains adalah dalam nisbah 4 : 3 : 5. Cari jumlah
buku matematik dan buku sains yang dijualkan dalam minggu itu.
A 120
B 180
C 240
D 360
29 Table 1 shows the marks obtained by a group of 40 students in a test.
Jadual 1 menunjukkan markah ujian yang diperoleh sekumpulan 40 orang murid.
Marks
40 – 49 50 – 59 60 – 69 70- 79
No. of
pupils
5 8 17 10
Table 1
Jadual 1
If the passing mark is 50, calculate the percentage of these students who passed.
Jika markah lulus ialah 50, hitung peratus lulus murid-murid itu.
A 12.5
B 87.5
C 90.0
D 95.0
Diagram 14
Rajah 14

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30 Which graph reperesents 23 2
 xy ?
Graf manakah yang mewakili 23 2
 xy ?
A
B
C
D
31 List all the subsets of set Q = {2, 3, 5}
A {2}, {3}, {5}
B {2}, {3}, {5}, { }
C {2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5}, {2, 3, 5}
D {2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5}, {2, 3, 5}, { }
2
0
x
y
-3
0 x
y
-3
0 x
y
2
0 x
y

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32 Diagram 15 is a Venn diagram which shows the elements of set P, set Q and set R.
Rajah 15 adalah gambar rajah Venn yang menunjukkan unsur –unsur set P, set Q dan set R.
It is given that the universal set, RQP  . Find the value of n(Q’).
Diberi bahawa set semesta, RQP  . Cari nilai bagi n(Q’).
A 3
B 4
C 5
D 6
33 Diagram 16 Shows a straight line PQ with equation ky = x + 8 , where k is a constant.
Rajah 16 menunjukkan garis lurus PQ yang mempunyai persamaan ky = x + 8 , dengan keadaan
k ialah pemalar .
Find the value of k.
Cari nilai k.
A
4
1

B
4
1
C – 4
D 4
P
Q
R.8
Diagram 15
Rajah 15
.6
.2
.3
.4
.5
.7
x
y
O
2
P
Q
Diagram 16
Rajah 16

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35 In an examination, the probability of Ahmad answering a question wrongly is 7
24
. Estimate
how many questions are correct if Ahmad answered a total of 120 questions.
Dalam satu peperiksaan, kebarangkalian Ahmad salah menjawab satu soalan ialah 7
24
.
Ramalkan bilangan soalan yang dijangka betul jika Ahmad menjawab sejumlah 120 soalan.
A 20
B 35
C 85
D 90
36 Table 2 shows the country of origin of a group of 600 tourists visiting Sabah Museum.
Jadual 2 menunjukkan negara asal sekumpulan 600 pelancong yang melawat Muzium Negeri
Sabah.
Country
Negara
China
China
Japan
Jepun
Korea
Korea
Phillipine
Filipin
Number of tourists
Bilangan pelancong
170 140 210 80
Table 2 / Jadual2
It is found that 10 Japanese tourists recorded in table 2, are actually come from China. A tourist is
chosen at random, State the probability that the tourist chosen is from China.
Didapati bahawa seramai 10 pelancong dari negera Jepun yang direkodkan dalam Jadual 2,
sebenarnya adalah datang dari negera China. Seorang pelancong dipilih secara rawak. Nyataan
kebarangkalian bahawa pelancong yang dipilih itu datang dari negera China.
A
3
10
B
7
30
C
13
60
D
17
60
34 Find the gradient of the straight line. 𝑥 +
5
2
𝑦 = −15.
Cari kecerunan bagi garis lurus 𝑥 +
5
2
𝑦 = −15.
A
−
5
2
B
−
2
5
C 2
5
D 5
2

SULIT 1449/1
SULIT
19
37 It is given that H varies directly as the cube root of y. Find the relation between H and y.
Diberi bahawa H berubah secara langsung dengan kuasa tiga y. Cari hubungan antara H
dan y.
A 3 yH 
B
3
1
y
H 
C 3
yH 
D 3
1
y
H 
38 Table 3 shows some values of the variables m and n, such that m varies inversely as the
square of n. find the value of x.
Jadual 3 menunjukkan beberapa nilai bagi pemboleh ubah m dan n, dengan keadaan m
berubah secara songsang dengan kuasa dua n.
m
1
2
1
8
n 4 x
Table 3
Jadual 3
Calculate the value of x.
Hitung nilai x.
A 5
B 6
C 7
D 8
39 4 












41
59
106
82
A






3625
2717
B






3623
2717
C






367
2717
D






367
2711

SULIT 1449/1
SULIT
20
40 If    12
2
45 






k
k
, find the value of k.
A 2
B 3
C 4
D 6
END OF QUESTION PAPER
SOALAN TAMAT

Set soalan e xcel maths paper 1

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