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SULIT 1449/1

SEKTOR SEKOLAH BERASRAMA PENUH

BAHAGIAN SEKOLAH

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERCUBAAN SELARAS SBP

SIJIL PELAJARAN MALAYSIA

MATEMATIK

Kertas 1

Satu jam lima belas minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. Kertas soalan ini adalah dalam Bahasa Inggeris.

2. Calon dikehendaki membaca maklumat di halaman 2.

1449/1 2007 Hak Cipta Sektor SBP [Lihat sebelah

SULIT

1

1449/1

Matematik

Kertas 1

Ogos

2007

1

4

1jam

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Kertas soalan ini mengandungi 21 halaman bercetak.

INFORMATION FOR CANDIDATES

1. This question paper consists of40 questions.

2. Answerall 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 diagrams in the questions provided are not drawn to scale unless stated.

7. A list of formulae is provided on page 3 to 4.

8. You may use a non-programmable scientific calculator.


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2

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MATHEMATICAL FORMULAE

The following formulae may be helpful in answering the questions. The symbols given are the

ones commonly used.

RELATIONS

1 am x an = a m+ n

2 aman = a m n

3 ( am )n = a mn

4 A-1 =bcad

1

ac

bd

5 P ( A ) =)()(

SnAn

6 P ( A) = 1 P(A)

7 Distance = 2212

21 )()( yyxx +

8 Midpoint, (x, y ) =

++

2,

2

2121yyxx

9 Average speed =

10 Mean =

11 Mean =


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3

distance travelledtime takensum of data

number of data

sum of (class mark frequency)

sum of frequencies

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12 Pythagoras Theorem

c2 = a2 + b2

13 m =12

12

xx

yy

14 m =

SHAPES AND SPACE

1 Area of trapezium =2

1 sum of parallel sides height

2 Circumference of circle = d= 2r

3 Area of circle = r2

4 Curved surface area of cylinder = 2rh

5 Surface area of sphere = 4r2

6 Volume of right prism = cross sectional area length

7 Volume of cylinder = r2h

8 Volume of cone =3

1r2h

9 Volume of sphere =3

4r3

10 Volume of right pyramid =3

1 base area height

11 Sum of interior angles of a polygon = ( n 2) 180

12360

centreatsubtendedangle

circleofncecircumfere

lengtharc =

13360

centreatsubtendedangle

circleofarea

sectorofarea =


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4

y-intercept

x-intercept

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14 Scale factor , k=PA

PA'

15 Area of image = k2 area of object

Answer all questions.

1 Round off 0.06307 correct to three significant figures.

A 0.0600

B 0.0630

C 0.0631

D 0.06310

2 Express 2.314 10-5 as a single number.

A 0.02314

B 0.002314C 0.0002314

D 0.00002314

3 25000

4.1=

A 5106.5

B 4106.5

C

4106.5

D 5106.5


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5

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6 Diagram 1 shows a hexagonRSTUVW. MVUL is a straight line.

Calculate the value ofx + y.

A 130

B 230

C 310

D 490


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4

A

B

C

D

5

A

B

C

D

7

A

B

C

D

6

RT

UV

S

W 60

70

M

Lx

y

DIAGRAM 1

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8 Diagram 2 shows a parallelogram KLMN.

The value ofx is

A 20

B 40

C 60

D 120

9 In Diagram 3,JKL is a tangent to a circle with centre O, at point K.MOL is a straightline.

IfJKM = 70 , find the value ofx.A 30


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7

N M

LK

3x

DIAGRAM 2

20

40

x

M

J

K

L

O

70

DIAGRAM 3

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B 40

C 50

D 70

10

11 Diagram 5 shows five polygons drawn on square grids.

B

A D

P

C

Which of the polygons A, B, C or D is the image ofP under a reflection ?

12 In Diagram 6, PTQ is a straight line. Given sin13

5=QPR .


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8

Q

T

R

PS

5 cm

3 cm

8 cm

DIAGRAM 6

DIAGRAM 5

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Find the value of sin STQ .

A 5

4

B 5

3

C5

3

D 5

4


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13 Diagram 7 shows the position of points P, Q andR on a map. Given that bearing ofR

from P is 080.

Find the bearing ofQ fromR.

A 060

B 240

C 270

D 300

14

15

A

B

C

D

9

140

Q

P

R

DIAGRAM 7

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16

A

BC

D

18

A

B

C

D


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17

A

B

C

D

19 ( ) ( )=

2

2 xyyxx

A2y

B222 yx

C2

2 yxy

D2

2 yxy

20 Express mn

nm

m

m ++5

5as a single fraction in its simplest form.

A5

51 m

Bn

n

5

5

Cmn

mmn

5

5

Dmn

mmnn

5

510 +

10

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22 Given that 5e 4 = 16 (e + 5) , calculate the value ofe.

A 25

6

B 52

C 2

5

D 6

25

23 Simplify ( ) 1232

2

12

qpqp .

A24

4 qp

B48

4 qp

C24qp

D48qp


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21 Given that

+= 38

4m

n , express m in terms ofn.

A 2(n 12 )

B 2n 12

C n 12

D n + 12

11

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24 Given that1

16 24

n

=

, find the value ofn.

A 2

B32

C3

2

D 2

26 In Diagram 12, the histogram shows the time spent by a group of students watching

television on a certain day.

0 9.5 19.5 29.5 39.5 49.5 59.5


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25 List all the integers kthat satisfy the inequalities 5)3(5 +

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Calculate the mean, in minutes, of the time spent by the students watching

television.

A 39.94B 39.54

C 33.95

D 33.94

27 The pictograph in Diagram 13 shows the number of television sets sold by a shop in

three particular days. The number of television sets sold on Wednesday is not known.

Sales on Monday makes up 30 % of the total sale of the three days. The number of

television sets sold on Wednesday is

A 10

B 30

C 40

D 50


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13

DIAGRAM 13

Monday

Tuesday

Wednesday

represents 5 units

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28 Which of the following represents the graph of 273 += xy

A B

C D

29 In Diagram 14 , is the universal set.

Set 'PQ is

A {d, e ,f, g , h}

B {d, e ,f}

C {g , h}

D {k}

14

ab d

f

g

PQ

DIAGRAM 14

27

y

3 xO

3

y

-27 xO

3

27 x

y

O

27

y

-3 xO

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31 Given a universal set , = {x : x is an integer , 2816 x } and

T= {x :x are numbers where the sum of its digits is less than 5 } . Find ( )n T

A 3

B 7

C 10

D 11

32 In Diagram 16, TVis a straight line.


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30 Diagram 15 is a Venn diagram, which shows setsJ, KandM. The universal set

= MKJ .

Which of the region, A, B, C, or D represents the set ( )J K M ?

15

J

M

K

AC

DB

DIAGRAM 15

y

x

6

k

T

V

DIAGRAM 16

O

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Given the gradient of the straight line TVis3

2 . Find the value ofk.

A 3

B 4

C 6

D 9


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33 From the following straight line equations, the straight line which is parallel to the

x-axis is

Axy =

B 2=y

C yx =

D 2=x

34A

B

C

D

35

A

B

C

D

16

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37A

B

CD


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36

A

B

C

D

38Given Svaries inversely as the square ofTand S = 36 when T =

2

1. Express Sin

terms ofT.

A 29

ST

=

B 218

ST

=

C 236

ST

=

D 272

ST

=

39A

B

CD

40

A

B

C

D17

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END OF QUESTION PAPER


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