View
51
Download
2
Category
Preview:
DESCRIPTION
maths form five - mid term exam questions
Citation preview
SULIT
PAGE SULIT
1449/1
SMK SERI KOTA PUTERIJALAN BAYAN 45, TAMAN MEGAH RIA
PEPERIKSAAN PERTENGAHAN TAHUNTINGKATAN 5 2014MATEMATIK
Kertas 1
Satu jam lima belas minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini adalah dalam dwibahasa.2. Jawab semua soalan. 3. Hitamkan hanya satu ruang jawapan pada kertas jawapan yang disediakan.
Kertas soalan ini mengandungi 24 halaman bercetak.
Disediakan oleh,
Disemak oleh,
Disahkan oleh
.
(USHA DEVI A/P LINGAPPAN) (MOHD. HAFIZI BADRUDDIN)(MAZIAH BTE SABRAN)
Guru Mata Pelajaran
Ketua Panitia Matematik GKMP Sains dan MatematikMATHEMATICAL FORMULAEThe following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.RELATIONS
1am x an = a m+ n2am ( an = a m n3( am )n = a mn4A-1 =
EMBED Equation.3 5P ( A ) =
6P ( A( ) = 1 ( P(A)
7Distance =
8Midpoint, ( x, y ) =
EMBED Equation.3
9Average speed =
10Mean =
11Mean =
12Pythagoras Theorem
c2 = a2 + b2
13m =
14m = (
SHAPES AND SPACE
1Area of trapezium = sum of parallel sides height
2Circumference of circle = (d = 2(r3Area of circle = (r24Curved surface area of cylinder = 2(rh
5Surface area of sphere = 4(r26Volume of right prism = cross sectional area length
7Volume of cylinder = (r2h
8Volume of cone = (r2h9Volume of sphere = (r310Volume of right pyramid = base area height
11Sum of interior angles of a polygon = ( n 2) 18012
EMBED Equation.3 13
14Scale factor , k =
15Area of image = k 2 area of object
Answer all questionsJawab semua soalan
1
Round off 0.03204 correct to three significant figures. Bundarkan 0.03204 kepada tiga angka bererti.
A0.03
B0.032
C0.0320
D0.0321
2
A
B
C
D
3
A
B
C
D
4
Diagram 1 shows a rectangle and three regular octagons. Given that the area of an
octagon is .
Rajah 1 menunjukkan satu segiempat tepat dan tiga octagon sekata. Diberi bahawa luas sebuah octagon ialah 23.343 unit2.
Find the area of the shaded regions and give your answer correct to three significant figures.
Cari luas kawasan berlorek dan beri jawapan anda betul kepada tiga angka bererti.
A92.4 unit2
B92.5 unit2
C92.400 unit2
D92.500 unit2
5
Express as a number in base eight.Nyatakan dalam asas lapan.
A
B
C
D
6
A
B
C
D
7
In Diagram 2, PQRST is a regular pentagon. UTR is a straight line.Dalam Rajah 2, PQRST ialah pentagon sekata. UTR ialah sat garis lurus.
The value of Nilai x + y =
A36
B42
C78
D108
8
In Diagram 3, PQRS is a rhombus, PSTU is a trapezium and QST is a straight line.
Dalam Rajah 3, PQRS ialah rombus, PSTU ialah sebuah trapezium dan QST ialah satu garis lurus.
The value of x isNilai x ialah
A
B
C
D
9
Diagram 4 shows a circle with centre O. LM and LN are tangents to the circle at points M and N respectively.
Rajah 4 menunjukkan satu bulatan berpusat O. LM dan LN adalah tangen bulatan pada titik-titik M dan N masing-masing.
Find the value of x.Cari nilai x.
A30
B40
C50
60
10
In Diagram 5, PQRS is a cyclic quadrilateral and TS is a tangent to the circle at point S.
Dalam Rajah 5, PQRS ialah sisi empat kitaran dan TS ialah tangen bulatan pada titik S.
Find the value of x.Cari nilai x.
A30
B40
C60
D80
11
Diagram 6 shows points plotted on Cartesian plane.Rajah 6 menunjukkan beberapa titik diplot atas satah Cartesan.
Determine which of the point, A, B, C or D, is the image of point R under a 90( anticlockwise rotation about the centre (3, 1).
Kenalpasti antara titik-titik, A, B, C atau D, titik manakah imej bagi titik R di bawah putaran 900 lawan arah jam berpusat (3, 1).
12
Diagram 7 shows two quadrilaterals, PQRS and PQ(R(S ( drawn on square grids. Quadrilateral PQ(R(S ( is the image of quadrilateral PQRS under an enlargement at centre P with the scale factor k.
Rajah 7 menunjukkan dua sisi empat, PQRS dan PQ(R(S ( dilukis atas grid segiempat sama. Sisi empat PQ(R(S ( ialah imej kepada sisi empat PQRS di bawah satu pembesaran berpusat P dengan faktor skala k.
Find the value of k.Cari nilai k.
A(2
B(
C
D2
13
In Diagram 8, O is the centre of a unit circle.Dalam Rajah 8, O ialah pusat bulatan unit.
Find the value of sin .
Cari nilai sin .
A(0.9063
B(0.4226
C0.9063
D2.1446
14
Diagram 9 shows the graph of y = cos x(. Rajah 9 menunjukkan graf y = cos x(.
Find the value of q.Cari nilai q.
A90(
B120(
C150(
D210(
15
Determine which of the following is the graph of y = sin x( for 0(90(.Tentukan yang manakah adalah graf y = sin x( bagi 0(90(.
A
B
C
D
16
Diagram 10 shows a right triangular prism. U is the midpoint of TV.
Rajah 10 menunjukkan prisma segitiga tepat. U ialah titik tengah TV.
Name the angle between the line UQ and the plane PSTV.Namakan sudut di antara garis UQ dan satah PSTV.
A(PQU
B(QUP
C(QPU
D(QUV
17
Express as a single fraction in its simplest form.
Nyatakan dalam satu pecahan tunggal yang termudah.
A
B
C
D
18
A
B
C
D
19
A
B
C
D
20
Given that , express p in terms of r.Diberi , nyatakan p dalam sebutan r.
A
B
C
D
21
Given that , express y in terms of x.Diberi , nyatakan y dalam sebutan x.
A
B
C
D
22Simplify
Permudahkan
A
B
C
D
23
Simplify
Permudahkan
A
B
C
D
24
Given that , then k =Diberi , maka k =
A
B
C
D
25List all the integers x which satisfy both of the inequalities and
Senaraikan semua integer x yang memuaskan kedua-dua ketaksamaan dan
A(3, (2, (1, 0, 1, 2
B(2, (1, 0, 1, 2
C(2, (1, 1, 2
D0, 1, 2
26
The solution for and isPenyelesaian bagi dan ialah
A
B
C
D
27
Table 1 shows the frequency of the score obtained in a game.
Jadual 1 menunjukkan frekuensi markah yang diperolehi dalam satu permainan.
Given that the median score is 2, find the value of x.Diberi skor median ialah 2, cari nilai x.
A1
B2
C3
D4
28
Diagram 11 shows the monthly expenditure among the students of 5 Alfa and 5 Beta.Rajah 11 menunjukkan perbelanjaan bulanan antara pelajar 5 Alfa dan 5 Beta.
Calculate the mean of expenditure, in RM, of the students from the two classes.
Kira min perbelanjaan, RM, pelajar-pelajar dari dua kelas tersebut.
ARM 5.00
BRM 25.00
CRM 26.38
DRM 27.05
29
Determine which of the following graphs represents .
30Diagram 12 shows a Venn diagram with the universal set, , set P, Q, and R.Rajah 12 menunujukkan gambar rajah Venn yang mengandungi set universal, , set P, Q dan R.
The shaded region in the Venn diagram represent the set
Kawasan berlorek di dalam gambar rajah Venn diwakili oleh set
A
B
C
D
31Diagram 13 shows the number of elements in set X, Y and Z.
Rajah 13 menunjukkan bilangan elemen dalam set X, Y dan Z.
Given that n(X) = n(Y), find the value of m.
Diberi bahawa n(X) = n(Y), cari nilai m. A 1
B 2
C 3
D 4
32
Given that the universal set . Set , Set and Set .
Set is
Diberi set universal . Set , Set
dan Set .
Set ialahA
B
C
D
33
Table 2 shows the relation between three variables g, h and f.
Given that g varies directly as h and varies inversely as f.Jadual 2 menunjukkan hubungan antara tiga pembolehubah g, h dan f.
Diberi g berubah secara langsung dengan h dan secara songsang dengan f.
3
x
6
10
2
Find the value of x.
Cari nilai x.
A4
B18
C25
D36
34
Given that
EMBED Equation.3 and y = when = 2 and x = 2 .
Find the value of when y = 1 and x = 6.Diberi
EMBED Equation.3 dan y = bila = 2 dan x = 2 .
Cari nilai bila y = 1 dan x = 6.
A
B
C1
D2
35
A straight line PQ with gradient passes through the point (4, 9).
Find the y-intercept of the line.
Satu garis lurus PQ dengan kecerunan bergerak melalui titik (4, 9).
Cari pintasan-y garis lurus tersebut.
A7
B8
C10
D20
36
A straight line passes through the points K (0 , 2) and L (, 0) and has a gradient of ( , find the value of .
Satu garis lurus melalui titik-titik K (0 , 2) dan L (, 0) dan mempunyai kecerunan sabanyak -, cari nilai t.
A(8
B(2
C2
D8
37
A box contains 42 red pens and blue pens. If a pen is picked randomly from the box, the probability of picking a blue pen is . Find the number of red pen.Satu kotak mengandungi 42 pen merah dan pen biru. Sekiranya sebatang pen dipilih secara rawak dari kotak tersebut, kebarangkalian memilih pen biru ialah . Cari bilangan pen merah.
A18
B24
C38
D42
38
A two digit number is created from the digits in the set R.
Given set R = { x : 2 x 4, x is an integer}. Find the probability that the sum of the two digits is greater than 5.Nombor dua digit dibentuk dari digit-digit dalam set R.
Diberi set R = { x : 2 x 4, x ialah integer}. Cari kebarangkalian dimana jumlah dua digit ialah lebih besar dari 5.
A0
B
C
D1
39
Diagram 14 shows a bar graph which represent the games played by a group of students.Rajah 14 menunjukkan satu graf bar mewakili permainan yang dimain oleh sekumpulan pelajar.
If a student is chosen randomly from the group, state the probability that the student likes to play football.Sekiranya seorang pelajar dilih secara rawak dari kumpulan itu, nyatakan kebarangkalian pelajar yang suka bermain bola sepak.
A B C D
40
=
Find the value of k.Cari nilai k.
A B C D
END OF QUESTION PAPERKERTAS SOALAN TAMAT
DIAGRAM 7 / RAJAH 7
S
R
O
DIAGRAM 6 / RAJAH 6
(A
y(
30(
DIAGRAM 14 / RAJAH 14
Tennis /
Tenis
1449/1
Matematik
Kertas 1
Mei 2014
1 EMBED Equation.3 jam
y-intercept
x-intercept
sum of (class mark frequency)
sum of frequencies
sum of data
number of data
distance travelled
time taken
1
900
0
50(
S(
900
x
y
50(
DIAGRAM 10 / RAJAH 10
DIAGRAM 8 / RAJAH 8
DIAGRAM 5 / RAJAH 5
Games / Permainan
x(
40(
Number of students /
Bilangan pelajar
DIAGRAM 13 / RAJAH 13
D
C
2
10
8
6
x
x(
B
50(
TABLE 1 / JADUAL 1
Hockey / Hoki
R(
Q
Q(
P
y
DIAGRAM 12 / RAJAH 12
1
(D
D
y
6
4
2
x
-2 0 2 4 6 8
Rugby / Rugbi
Football
Bola Sepak
O
40(
O
N
x(
40(
M
DIAGRAM 2 / RAJAH 2
U
S
T
R
Q
P
(
R
DIAGRAM 1 / RAJAH 1
13 unit
L
U
EMBED Equation.3
T
S
P
y
DIAGRAM 9 / RAJAH 9
O
EMBED FXDraw200.Document
EMBED FXDraw200.Document
(
A
M
L
( q,(0.5)
N
M
x(
-1
1
( R
-1
1
x
y
O
H ((0.4226, 0.9063)
L
U
T
V
S
Q
P
8 cm
4 cm
DIAGRAM 11 / RAJAH 11
Q
DIAGRAM 3 / RAJAH 3
12.5 unit
Score / Skor01234Number of student / Bilangan pelajarx4236
0
(
C
N
(B
1449/1
x(
R
TABLE 2 / JADUAL 2
EMBED MSGraph.Chart.8 \s
4
DIAGRAM 4 / RAJAH 4
PAGE 241449/1 ( 2014 Hak Panitia Matematik SMK SKP
[Lihat sebelah
SULIT
_1235820222.unknown
_1235843741.unknown
_1235987727.unknown
_1236080799.unknown
_1236110254.unknown
_1236148149.unknown
_1460790147.unknown
_1460790162.unknown
_1236147816.unknown
_1236148127.unknown
_1236110318.unknown
_1236145323.xls
_1236104805.unknown
_1236110253.unknown
_1236088916.unknown
_1236090175.bin
_1236080810.unknown
_1236056635.unknown
_1236056737.unknown
_1236057371.unknown
_1236061201.unknown
_1236061258.unknown
_1236056828.unknown
_1236056829.unknown
_1236056826.unknown
_1236056704.unknown
_1236056726.unknown
_1236056650.unknown
_1236018931.unknown
_1236056502.unknown
_1236056626.unknown
_1236056381.unknown
_1235987753.unknown
_1235987897.unknown
_1235988003.unknown
_1235987813.unknown
_1235987739.unknown
_1235850645.unknown
_1235880973.unknown
_1235907641.unknown
_1235907902.unknown
_1235987706.unknown
_1235907900.unknown
_1235907901.unknown
_1235907898.unknown
_1235907899.unknown
_1235907663.unknown
_1235890503.unknown
_1235880998.unknown
_1235882451.unknown
_1235850940.unknown
_1235855511.unknown
_1235855576.unknown
_1235858170.unknown
_1235855416.unknown
_1235855490.unknown
_1235850748.unknown
_1235844316.unknown
_1235844391.unknown
_1235844969.unknown
_1235845095.unknown
_1235845096.unknown
_1235845094.unknown
_1235844414.unknown
_1235844367.unknown
_1235843805.unknown
_1235843843.unknown
_1235843798.unknown
_1235836639.unknown
_1235837135.unknown
_1235837157.unknown
_1235842153.unknown
_1235842203.unknown
_1235842988.unknown
_1235842185.unknown
_1235842122.unknown
_1235837148.unknown
_1235836998.unknown
_1235837108.unknown
_1235836722.unknown
_1235835631.unknown
_1235835832.unknown
_1235836026.unknown
_1235835764.unknown
_1235835799.unknown
_1235820256.unknown
_1235835361.unknown
_1235820238.unknown
_1235808225.unknown
_1235813483.unknown
_1235813931.unknown
_1235813984.unknown
_1235816422.unknown
_1235820004.unknown
_1235813959.unknown
_1235813813.unknown
_1235813905.unknown
_1235813576.unknown
_1235808854.unknown
_1235808942.unknown
_1235811836.unknown
_1235808894.unknown
_1235808640.unknown
_1235808766.unknown
_1235808267.unknown
_1171171565.unknown
_1235657537.unknown
_1235658169.unknown
_1235804318.unknown
_1235804407.unknown
_1235808133.unknown
_1235808178.unknown
_1235806553.unknown
_1235807912.unknown
_1235804974.unknown
_1235658256.unknown
_1235658283.unknown
_1235658219.unknown
_1235657780.unknown
_1235657814.unknown
_1235657689.unknown
_1235657757.unknown
_1235657660.unknown
_1234116667.unknown
_1235657341.unknown
_1235657473.unknown
_1235657508.unknown
_1235657400.unknown
_1235657278.unknown
_1235657252.unknown
_1235657269.unknown
_1234115281.unknown
_1234116625.unknown
_1171171844.unknown
_1153630356.unknown
_1153635031.unknown
_1153635310.unknown
_1153635350.unknown
_1153635720.unknown
_1153635270.unknown
_1153634894.unknown
_1153630189.unknown
_1153630262.unknown
_1153630156.unknown
_1150743956.unknown
Recommended