mth p1 midyear 08

7/30/2019 Mth p1 Midyear 08

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SEKTOR SEKOLAH BERASRAMA PENUH

BAHAGIAN SEKOLAH

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERTENGAHAN TAHUN

TINGKATAN 5 2008

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.

Kertas soalan ini mengandungi 24 halaman bercetak.

1449/1

Matematik

Kertas 1

Mei 2008

14

1jam


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1449/1 2008 Hak Cipta SBP [Lihat sebelah

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2

INFORMATION FOR CANDIDATES

1. This question paper consists of 40 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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MATHEMATICAL FORMULAE

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

ones commonly used.

RELATIONS

1 am an = a m+ n

2 am an = a m n

3 ( am )n = a mn

4 A-1 =bcad

1

ac

bd

5 P ( A ) = )(

)(

Sn

An

6 P ( A ) = 1 P(A)

7 Distance = 2212

21 yyxx

8 Midpoint, ( x, y ) =

2,

2

2121 yyxx

9 Average speed =

10 Mean =

11 Mean =

12 Pythagoras Theorem

c

2

= a

2

+ b

2

13 m =12

12

xx

yy

14 m =

distance travelled

time taken

sum of data

number of data

sum of (class mark frequency)

sum of frequencies

y-intercept

x-intercept


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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 = r2

h

8 Volume of cone =3

1r

2h

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

14 Scale factor , k=PA

PA'

15 Area of image = k2 area of object


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1 Round off 0.05078 correct to three significant figures.

A 0.05

B 0.0508

C 0.051

D 0.508

2 Express410305.2 as a single number.

A 0.0002305

B 0.002305

C 0.02305

D 23050

361032.8 + 5106.7

A510432.8

B610432.8

C51008.9

D61008.9

4 22 100110011

A 10011 2

B 10101 2

C 211010

D 11100 2


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6 In Diagram 1, JKLMNis a regular pentagon. MNFand LEFare straight lines.

The value of x + y =

A 57

B 42

C 36

D 21

5 2m4 8 = 10156 , find the value ofm.

A 0

B 1

C 2

D 3

K

L J

E

NFM

x

y

15

Diagram 1


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7 Diagram 2 shows a regular pentagon PQRSTand an isosceles triangle PUM.

Calculate the value of x + y

A 108

B 120

C 144

D 180

8 In Diagram 3, RSis a tangent to the circle PTSQ at Sand PQR is a straight line.

The value of m is

A 54o

B 50o

C 46o

D 40o

TP

Q

R

S

U

M

xo

yo

Diagram 2

Diagram 3

P

T

S

Q

50

86

m


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9 Diagram 4 shows two pentagons, R and Son a Cartesian plane. Sis the image ofR

under a reflection in the line PQ.

Find the equation of the line PQ.

A 1x

B 1y

C 2x

D 0y

y

-4 -3 -2 -1 0 1 2 3 4

4

3

2

1

-1

-2

-3

-4

x

SR

Diagram 4


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10 Diagram 5 shows an incomplete triangle KLM , which is the image of triangle

KLMunder an enlargement.

Find the coordinates of point L.

A ( 3, -3 )

B ( 4, -2 )

C ( 2, -4 )

D ( 6, 2 )

Diagram 5

y

O 1 2 3 4 5 6 7 8

4

3

2

1

-1

-2

-3

-4

x

K

ML

M

K


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11 In Diagram 6, PQSand RSTare straight lines. Given that tan x =2

1and

cos y =5

4 .

Find the length of RQ.

A 12 cm

B 16 cm

C 20 cm

D 24 cm

Diagram 6

P

TR

Q

S

y

8 cm


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13 Diagram 8 shows the graph of y = cos x.

Find the value of x.

A 60

B 120

C 300

D 330

12 In Diagram 7, PQRS is a rectangle, STR is a straight line and ST=3

1SR.

Find the value of tan PTR .

A 2

3

B 3

2

C 2

1

D 3

2

y

x

1

1

Diagram 8

12 cm

Diagram 7

P Q

RS T

6 cm

1

(x, 0.5)

-1

0 x


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14 Diagram 9 shows a right pyramid with an isosceles triangle base PQR. Eia a midpoint

ofQR.

Calculate the angle between the line ESand the plane PQR.

A '0 4133

B '0 2435

C '01438

D '0 2441

15 In Diagram 10, PTand QRSare two vertical poles on a horizontal plane.

Determine the angle of elevation ofQ from P.

A QRP

B PRS

C PQR

D QPR

Diagram 9

Diagram 10

10 cm

8 cm

13 cm

S

R

Q

P E

Q

P R

ST


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16

3

12

4

2

A

13

B

1

4

C

1

4

D

2

4

17 In Diagram 11, JMNand JKL are tangents to the circle FKM.

Find the value ofx.

A 54

B 62

C 64

D 72

Diagram 11

L

MJ N

K F72

x


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19 2)3()3(2 yxyxx

A 22 963 yxyx

B 22 9122 yxyx

C 22 9123 yxyx

D 22 9123 yxyx

18 Diagram 12 shows the graph of y = 8 x .

Find the value of k.

A -2

B -8

C 2

D 8

y

Diagram 12

y = 8 x3

0,kO


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22 Given that nnn 8243 , find the value of n.A 3

B 4

C 5

D 6

20 Given that, 33

2

t

mexpress t in terms ofm.

A3

)32( 2m

B2

3

32

m

C 9

922m

D2

9

32

m

21 Express22

1

p

p

p

6

3 as a single fraction in its simplest form.

A 2

2

6

33

p

pp

B 2

2

6

33

p

pp

C 2

2

6

31

p

pp

D

2

2

2

13

p

pp


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23

3

214

a

acan be written as

A

5

8

a

B18 a

C516 a

D a16

24 Simplify 983322 nmnm

A26 m

B26m

C28m

D148 m

25 The solution for 131219 mm is

A 2010 m

B 1410 m

C 1410 m

D 1210 m


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26 Diagram 13 is a pictograph showing the number of laptops sold on Monday and

Tuesday. The number of laptops sold on Wednesday is not shown.

Monday

Tuesday

Wednesday

The sale on Tuesday was 20% of the total sale for the three days. The number of

laptops sold on Wednesday was

A 90

B 150

C 180

D 450

represents 30 laptops

Diagram 13


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27 Diagram 14 is a bar chart which is incomplete, showing the number of fruit trees in an

orchard.

The ratio of the number of Mango trees to the number of Durian trees is 5 : 3.

Find the total number of fruit trees in the orchard.

A 240

B 280

C 300

D 320

Type of tree

Diagram 11

20

40

60

80

100

Number of fruit trees

Dragon

fruit

Mango Durian

Diagram 14

0


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29 Given = {a, b, c, d, e, i, o, u}, X= {a, i, u}, Y = {a, b, d} and Z= { b, c, d}.

Find ZYXn '

A 2

B 3

C 4

D 5

28 Diagram 15 shows a graph of a function.

The equation of the function is

A y5

B5

xy

Cx

y5

D 5

xy

y

O

5

1 5

1

x

Diagram 15


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30 Diagram 16 is a Venn diagram with the universal set = X Y Z.

It is given that ][2 YXnZn . Find the value of k.

A 5

B 9

C 10

D 12

31 Diagram 17 is a Venn diagram which shows the universal set , set P, set Q and set R.

The shaded region in the Venn diagram represents the set

A QRP

B ( P R ) Q

C ( P R ) Q

D ( P R ) Q

Diagram 17

X Y

Z

62k

10

5

7 + k

7 6

Diagram 16

P Q

R


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32 In Diagram 18 below, the gradient of the straight line3

4TV .

Find the coordinates of point N.

A ( 4, 3 )

B ( 3, 4 )

C ( 3, 5 )

D ( 4, 5 )

33 Find the y-intercept of the straight line 1056 yx

A5

6

B3

5

C6

5

D 2

y

Diagram 18

V(3,0)

T

O


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34 Table 1 shows the distribution of teachers in three schools R, Sand T.

If a teacher is chosen at random from the three schools, what is the probability that a

male teacher from school Sis chosen?

A139

74

B13944

C139

42

D139

20

35 A box contains a few good eggs and 15 rotten eggs. If an egg is chosen at random from

the box and the probability of getting a rotten egg is7

3, find the total number of eggs

in the box.

A 12

B 20

C 35

D 56

Table 1


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1449/1 [Lih t b l h24

END OF QUESTION PAPER

39 Given that

x

4 5y =

11

2020, calculate the value of x and of y.

A x =5

1 , y = 5

B x =5

1, y = 5

C x = 5, y =5

1

D x = 5, y =

5

1

40 M is a 22 matrix where

1

0

2

32 M =

0

1

3

4

Find the matrix ofM.

A

2

1

7

2

B

2

1

7

2

C

2

1

7

2

D

2

1

7

2

mth p1 midyear 08

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