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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

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