36876093 mth p1 pmr mid year sbp

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50/1 © 2008 Hak Cipta Sektor SBP SULIT

SEKTOR SEKOLAH BERASRAMA PENUH

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERTENGAHAN TAHUN SELARAS SBP 2008 50/1TINGKATAN 3

MATHEMATICS

Kertas 1

Mei 2008

14

1 jam Satu jam lima belas minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. Kertas soalan ini adalah dalam bahasa Inggeris.

2. Kertas soalan ini mengandungi 40 soalan.

3. Jawab semua soalan.

4. Tiap-tiap soalan diikuti oleh empat pilihan jawapan, iaitu A, B, C dan D. Bagisetiap soalan, pilih satu jawapan sahaja. Hitamkan jawapan anda pada kertas

jawapan objektif yang disediakan.

.

5. Jika anda hendak menukar jawapan, padamkan tanda yang telah dibuat. Kemudian

hitamkan jawapan yang baru.

6. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan.

7. Satu senarai rumus disediakan di halaman 2 hingga 3.

8. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.

Kertas soalan ini mengandungi 26 halaman bercetak



2

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

commonly used.

RELATIONS

1 m n m na a a

2 m n m na a a

3 ( )m n mna a

4 Distance =2 2

2 1 2 1( ) ( ) x x y y

5 Midpoint

( , ) x y =

2

21 x x,

2

21 y y

6 Average speed =distance travelled

time taken

7sum of data

Mean =number of data

8 Pythagoras Theorem2 2 2

c a b

SHAPE AND SPACE

1 Area of rectangle = length width

2 Area of triangle =1

base height2

3 Area of parallelogram = base height

4 Area of trapezium =1

sum of parallel sides height2

5 Circumference of circle = 2d r

6 Area of circle = 2r



3

7 Curved surface area of cylinder = 2 rh

8 Surface area of sphere = 24 r

9 Volume of right prism = cross sectional area length

10 Volume of cuboid = length width height

11 Volume of cylinder = 2r h

12 Volume of cone = 21

3r h

13 Volume of sphere = 34

3r

14 Volume of right pyramid =1

3 base area height

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

16arc length angle subtended at centre

circumference of circle 360

17 area of sector angle subtended at centrearea of circle 360

18 Scale factor, k =PA

PA

19 Area of image = 2 area of objectk



SULIT 4

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Answer all questions

1 Round off 238 567 to the nearest thousands.

A 238 500

B 238 600

C 239 000

D 240 000

2 Table 1 shows the list of items bought by Ahmad from a sundry shop.

Table 1

If he pays the shopkeeper with a fifty ringgit note, what is the change he should receive?

A RM35

B RM31

C RM19

D RM15

3 In a Mathematics test, Yusdi scored 80 marks whereas Azlan’s score was5

3

of Yusdi’s score. The ratio of Yusdi’s score to Azlan’s score is

A 3 : 5

B 5 : 8

C 5 : 2

D 5 : 3

Item Quantity Price per unit

Cooking oil 1 bottle RM13

Curry powder 4 packets RM4

Potato 3 kg RM2



SULIT 5

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4 Diagram 1 shows all the factors of 42.

Diagram 1

Which of the factors are prime factors?

A 1, 2, 3, 7

B 2, 3, 7

C 1, 3, 7

D 1, 2, 3, 7, 21

5

Based on the above number sequence, the value of p is

A 16

B 17

C 18

D 19

6 Given that41

1002.0 f . The value of f is

A 5

B 25

C 50

D 250

7

1

2

21

3

6

14

42

1, 3, 6, 11, p, 29, …



SULIT 6

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7 Diagram 2 shows a number line.

Diagram 2

In which of the regions labelled A, B, C or D, is3

11 situated?

8 In an express bus of 40 passengers,5

3are female.

3

1of the female and

4

1of the

male are children. How many children are there in the bus?

A 10

B 12

C 14

D 24

9 Tajudin painted two identical rooms and took 2

12 hours to paint each room. If he

started painting the first room at 9.30 a.m and took 45 minutes break in between, at

what time did he complete painting the second room?

A 1430

B 1545

C 1515

D 1555

– 3 – 2 – 1 0 1

A B C D



SULIT 7

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10 A string of length 2.90 m is used to tie 6 parcels. The string used for each parcel isequal in length.

If 38 cm of the string is left after all the parcels have been tied, calculate, in cm, the

length needed for each parcel.

A 40

B 41

C 42

D 45

11 In a cross country race, 20% of participants were disqualified. If 64 participantsare allowed to complete the run, how many participants took part in the race?

A 80

B 86

C 90

D 94

12 Pak Din was paid RM 222.00 for 12 working days. How much will he receive for

20 working days?

A RM111.00

B RM133.20

C RM270.00

D RM370.00



SULIT 8

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13 In Diagram 3, KLM and PLN are straight lines.

Diagram 3

Find the value of y.

A 40

B 100C 110

D 140

N 70

o

30o

y

o

xo

xo

K

L

M

P

Q



SULIT 9

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14 Diagram 4 shows a cube. Given that the area of the surface JKLM is 16 cm2.

Diagram 4

Hence, calculate the volume, in cm3, of the cube.

A 48

B 64

C 96

D 128

15 Izam has 5 sacks of sugar, each with a mass of r kg. All the sugar is then packed ina number of smaller packets of the same size. The mass of each packet is 3 kg.

What is the total number of the packets?

A3

5r

B 15r

C

r 5

3

D 30r

J

K L

M



SULIT 10

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16 In Diagram 5, the area of the square RSTU is 64 cm2

and QR = RS.

Diagram 5

Find the length, in cm, of PU .

A 8

B 9

C 12

D 17

17 Table 2 shows the scores for a group of students in a game.

Table 2

Determine the number of students who obtained scores less than the median score.

A 2

B 3C 4

D 5

P

Q R

S

T

U

15 cm

Point 1 2 3 4 5 6

Number of Students 2 1 1 1 3 2



SULIT 11

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18 In Diagram 6, PRSV is a parallelogram and STUV is a rectangle.

Diagram 6

Given that PQ = PV = UV . QST is a straight line.

Calculate the area, in cm2, of the whole diagram.

A 72

B 52

C 40

D 32

19 In Diagram 7, TRP is a straight line. Given that, the ratio of SRT to RST to

RTS is 2 : 3 : 4.

Diagram 7

Find the value of m.

A 100

B 120

C 140

D 180

S

T R

P

mo

P Q R

S

T U

V

8 cm

3 cm



SULIT 12

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20 In Diagram 8, X and Y are the centres of two semicircles.

Diagram 8

Based on the diagram, which of the points, A, B, C or D is 4 cm from the straightline PQ and 6 cm from point Y .

21 Diagram 9 shows a right-angled triangle EFG.

Diagram 9

Given that EF = FG and M is the midpoint of EG. Find the coordinates of M .

A ( 3, 3 )

B ( 5, 6 )

C ( 4, 5 )

D ( 6, 5 )

X

Y R S

B

A

C D

E (2, 9)

F (2, 3) G

M

12 cmQ P

8 cm



SULIT 13

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22 In Diagram 10, point P and point R are marked on the Cartesian plane.

Diagram 10

Given PQRS is a trapezium. If the coordinates of point Q( 3, 2 ), the possible

coordinates of point S is

A ( 1, – 1 )

B ( 2, – 2 )

C ( 0, – 2 )

D ( 0, 2 )

y

xO

2

– 2

P

R2



SULIT 14

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23 Diagram 11 shows a Cartesian plane.

Diagram 11

Given that KL = 13 units and LM is parallel to x-axis. The coordinates of T is

A ( 13, 5 )

B ( 5, 12 )

C ( 12, 5 )

D ( 12, 13 )

24 Diagram 12 shows the net of a solid.

Diagram 12

The solid is

A a cylinder with the radius 15 cm.

B a cone with the radius 15 cm.

C a cylinder with the radius 7.5 cm.

D a cone with the radius 7.5 cm.

y

xO x

L

K (– 12, 0)

T

25 cm

15 cm



SULIT 15

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25 Diagram 13 shows, a right pyramid with square base JKLM . The height of vertex V

from the base JKLM is 12 cm.

Diagram 13

Calculate the total surface area, in cm2, of the pyramid.

A 165

B 260

C 280

D 360

26 In Diagram 14, E , F, G, H and J are vertices of a regular polygon.

Diagram 14Find the number of sides of the polygon.

A 9

B 10

C 12

D 15

V

J

K L

M 10 cm

O

18o

E

F G

H

I



SULIT 16

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27 The bar chart in Diagram 15 shows the sales of cars in a car sales centre for the firstfive months.

Diagram 15

Calculate the mean of the sales per month for the period shown in the chart.

A 600

B 480

C 400

D 380

28 The pictograph in Diagram 16 shows the number of mobile phone sold in the first

three months of 2008.

Diagram 16Which of the following statements is true?

A The sales in March was 45 units.

B The lowest monthly sales was 3 units.

C The sales in February exceeded the sales in January by 45 units.

D The total sales for the first three months are 13 units.

Represents 15 units

January

February

March

O

2

4

6

8

S a l e s

o f c a r s

( i n

1 0 0

u n i t s )

Month

Jan Feb Mar April May



SULIT 17

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29 Diagram 17 is drawn on the square grids.

Diagram 17

Which of the points are situated on the axes of symmetry of the diagram?

A I and III

B II and IV

C I, II and V

D II, IV and V

I II III

V

IV



SULIT 18

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30 In Diagram 18, JKLMN is a semicircle with centre O.

(use7

22 )

Diagram 18

Calculate the area, in cm2, of the shaded region.

A3

214

B3

129

C3

151

D3

253

J

K

L

M

N O

40o

20o

14 cm



SULIT 19

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31 Diagram 19 shows a sector of a circle with centre O.

(use7

22 )

Diagram 19

Calculate the perimeter, in cm, of the whole diagram.

A 22

B 31

C 40

D 44

20o

O

G

E

9 cm



SULIT 20

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32 In Diagram 20, PQR is a right-angled triangle.

Diagram 20

The area, in cm2, of the triangle is

A 4 x – 4 y

B 2 x2

+ xy

C 8 x – 8 y

D 8 x

P

Q

R

( x – y) cm8 cm

2 x cm



SULIT 21

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33 Diagram 21 shows three pairs of parallel lines.

Diagram 21

Which of the following statements are true?

I v + w + y = 180

II y = v + wIII w + x = 180

A I, II only

B I, III only

C II, III only

D I, II, III only

xo

zo

yo

vo

wo



SULIT 22

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34 Diagram 22 shows a regular hexagon KLMNPQ and irregular polygon MRSTV .

Diagram 22

Given that PMR is a straight line. The value of x is

A 85

B 80

C 75

D 70

K L

M

S

R

T

V

P N

Q

130o

100o

xo



SULIT 23

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35 Diagram 23 shows a semicircle with centre O.

Diagram 23

The value of x is

A 50

B 60

C 70

D 80

R

S

T

U O

70o

xo



SULIT 24

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36 In Diagram 24, KPM and JOPL are straight lines and O is the centre of the circle.

Diagram 24

Find the value of h.

A 115

B 110

C 105

D 100

25o

ho

140o

O

N

M

P

L

K

J



SULIT 25

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37 In Diagram 25, EFGH is a rectangle and EFP is a circle with centre O.

Diagram 25

Given that, the area of the rectangle EFGH is 80 cm2

and the radius of the circleis 5 cm.

The length, in cm, of MP is

A 5

B 6

C 8

D 10

38 3( x – 2)2

=

A 3 x2 – 12

B 9 x2

– 36

C 3 x2

– 6 x + 12

D 3 x2 – 12 x + 12

F M E

O

H N G

10 cm

P



SULIT 26

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39 The pie chart in Diagram 26 shows the result of a survey on a group of people andtheir favourite local fruits.

Diagram 26

If the number of people who love mangosteens is 15, calculate the total number of

people in survey is

A 30

B 60C 90

D 120

40 ( 2 x– 1 )3 = .

A 6 x– 3

B8

3 x

C3

8

x

D x

2

END OF QUESTION PAPER

Banana

Mangosteen

Durian

Papaya

4 xo

2 xo

xo

150o



PEPERIKSAAN PERTENGAHAN TAHUN INGKATAN 3, SBP 2008

SKEMA JAWAPAN MATEMATIK KERTAS 1

Q Answer Q Answer

1. C 21. B

2. D 22. C

3. D 23. A

4. B 24. C

5. C 25. D

6. A 26. B

7. B 27. B

8. B 28. C

9. C 29. D

10. C 30. C

11. A 31. C

12. D 32. A

13. B 33. B

14. B 34. D

15. A 35. A

16. B 36. A

17. D 37. C

18. A 38. D

19. C 39. C

20. B 40. C

36876093 mth p1 pmr mid year sbp

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