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SEKTOR SEKOLAH BERASRAMA PENUH

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERTENGAHAN TAHUN SELARAS SBPTINGKATAN 3

2006

MATEMATIK

Kertas 1

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. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan

.

5. Bagi setiap soalan hitamkan satu ruangan sahaja.

6. Sekiranya anda hendak menukarkan jawapan, padamkan tanda yang telah dibuat. Kemudian hitamkan jawapan yang baru.

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

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

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

Kertas soalan ini mengandungi 23 halaman bercetak

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

RELATIONS

1

2

3

EMBED Equation.DSMT4

4Distance =

5Midpoint

= ,

6Average speed =

7

8Pythagoras Theorem

SHAPE AND SPACE

1Area of rectangle = length ( width

2Area of triangle =

3Area of parallelogram =

4Area of trapezium =

5Circumference of circle =

6Area of circle =

7Curved surface area of cylinder =

8Surface area of sphere =

9Volume of right prism = cross sectional area ( length

10Volume of cuboid = length ( width ( height

11Volume of cylinder =

12Volume of cone =

13Volume of sphere =

14Volume of right pyramid = base area ( height

15Sum of interior angles of a polygon =

16

17

18Scale factor, k =

19Area of image =

Answer all questions.

, , , and are arranged on a number line in ascending order. Which of the following is the correct order?

A

B

C

D

26 is the common factor of the following pairs of numbers except

A18 and 54

B30 and 256

C144 and 180

D174 and 198

3Which of the following are pairs of prime numbers?

A51 and 101

B57 and 111

C91 and 161

D119 and 103

4Diagram 1 shows part of the addition pattern of some numbers.

1

1

1

1

2

1

1

3

3

1

1

4

6

4

1

P

Q

R

S

T

U

What is the value of P + Q + R + S + T + U ?

A14

B16

C30

D32

5Ah Seng has 3 packets of sweets. Each packet contains 327, 428 and 345 sweets respectively. If Ah Seng sells every 4 sweets at 20 sen, how much will he get if he manages to sell all the sweets?

ARM 55.00

BRM 56.80

CRM 58.00

DRM 58.80

6Alimi sold his car at a loss of 30%. If the loss is RM15 300, what is the original price of the car?

ARM35 700

BRM51 000

CRM55 000

DRM66 300

7100(10.02 0.022) =

A9.998

B99.98

C998.9

D999.8

8Diagram 2 shows a net of a solid.

Which of the following solid has this net?

ACone

BPrism

CPyramid

DTriangle

9In Diagram 3, ACD is a triangle and AB = BC.

Find the length of DC.

A9 cm

B15 cm

C16 cm

D25 cm

10In Diagram 4, NPR is a straight line and PQ = NQ.

Find the value of y.

A18

B54

C60

D72

11In Diagram 5, SWV is a triangle and STUV is a parallelogram. Given that SP = WP.

Find the value of m.

A95

B129

C146

D178

12In Diagram 6, O is the centre of a circle. WV is the perpendicular bisector of OU.

Which of the point A, B, C, and D is equidistant from O and U and is 4 cm from O ?

13In Diagram 7, JKL and MLN are straight lines.

The value of x is

A100

B110

C120

D130

14Diagram 8 shows part of a regular polygon.

Which of the following are the possible values of x?

AI only

BI and II

CI and III

DII and III

15In Diagram 9, ABC is a scalene triangle and DBC is an isosceles triangle. BCE is a straight line. Find the value of x.

A16

B34

C65

D74

16In Diagram 10, EFG is a right-angled triangle and GHJK is a square.

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

A24

B32

C36

D40

17In Diagram 11, FGH is an isosceles triangle of perimeter 32 cm.

Calculate the area, in cm, of the triangle FGH.

A24

B36

C48

D60

18The volume of a cube is 512 cm. What is the surface area, in cm2, of the cube?

A64

B170

C288

D384

19

In Diagram 12, PQR is a straight line.

Find the value of x + y.

A65

B140

C170

D220

20In Diagram 13, O is the centre of circle PQRS.Find the value of x.

A30

B35

C40

D50

21In Diagram 14, PUR is the diameter of the circle PQRST.Find the value of x.

A20

B35

C40

D70

22Diagram 15 shows a circle with centre O and radius 13 cm. JKLM is a rectangle inscribed in the circle.

Calculate the area, in cm2, of the rectangle JKLM.

A120

B130

C240

D250

23Diagram 16 shows a circle, with centre S, inscribed in a semi circle PQR. POR is the diameter of the semi circle. Calculate the area, in cm2, of the shaded region.

A12.25

B14.5

C24.5

D36.75

24Diagram 17 shows the sector PQR of a circle and a right-angled triangle POS.Calculate the perimeter, in cm, of the whole diagram. (using )

A33

B50

C75

D84

Point P undergoes a translation . If the image of P is, find the values of x and y.

A

B

C

D

26Given that and . Find the value of .

A19

B13

C11

D17

27Simplify the value of .

A0

B1

C

D

28Given that the line joining the points A (a, 2a) and B (5, 4), is parallel to the x-axis. Find the value of a.

A2

B3

C4

D5

29Diagrams 18(a) and 18(b) below show the rectangle KLMN and the square PQRS respectively. Given that the perimeter of KLMN is the same as the perimeter of PQRS.

Determine the equation relating x and y.

A

B

C

D

30Diagram 19 shows a right-angled triangle EGK drawn on the Cartesian plane. Given that EK = 10 units.

Find the coordinates of point E.

A(0, 3)

B(3, 0)

C(6, 0)

D(8, 0)

31Diagram 20 below shows a circle with centre O. The ratio of the area of the minor sector POQ to the circle is 3 : 8.

Find the value of a.

A98

B120

C135

D262

32In Diagram 21, the line graph shows the monthly profit made by a printing company for the first half of the year 2005.

State the mode of the profit.

ARM50 000

BRM30 000

CJanuary

DApril

33Based on the above data, which of the statements are true?

AI and II

BI and III

CII and III

DII and IV

34 1, 2, 7, 3, p, 1 If the mean of the above set of numbers is 3, calculate the median.

A2

B2.5

C3

D3.5

35Diagram 22 shows an irregular pentagon.

Find the value of y.

A260

B245

C220

D210

36Table 1 shows the number of students who obtained Grade A and Grade B for Mathematics in PMR, in a district.Students

Grade A

Grade B

Boys

x

yGirls

400

4

Total

710

If this data is represented on a Pie chart as shown in Diagram 23, find the value of

A313

B314

C315

D316

37Diagram 24 shows the change in reading of the weighing scale after a tin of Milo was removed from it.

Calculate the mass, in grams, of a tin of margarine.

A1 350 g

B1 250 g

C1 200 g

D1 110 g

38

A

B

C

D

39Encik Nordin left Butterworth at 7.00 am, and took 1 hour and 40 minutes to reach Kangar. After finishing his business, he left Kangar at 1.10 pm. How much time did Encik Nordin spend in Kangar?

A4 hours 30 minutes

B4 hours 40 minutes

C4 hours 50 minutes

D6 hours 10 minutes

40If , then

A

B

C

D

END OF QUESTION PAPER

O

A

C

O

4 cm

DIAGRAM 1

DIAGRAM 19

O

E

G

x

K (9, 8)

y

DIAGRAM 2

DIAGRAM 17

7 cm

17 cm

P

O

Q

R

S

O

DIAGRAM 22

y

130

4x

5x

DIAGRAM 4

N

P

R

Q

y

7x

3x

DIAGRAM 10

10 cm

6 cm

E

H

J

K

G

F

25

x = 50 II. x = 45 III. x = 18

EMBED Equation.3 15 = 1

EMBED Equation.3 = 2

EMBED Equation.3 = 0.04

8 0 = 0

Profit (RM)

7x

Q

P

DIAGRAM 18(b)

S

D

W

DIAGRAM 15

10 cm

a(

M

K

J

DIAGRAM 5

m

116

65

P

85

T

V

U

W

S

DIAGRAM 24

Represents a tin of margarine

Represents a tin of Milo

5.4 kg

6.9 kg

DIAGRAM 21

Jan

Feb

50/1

Matematik

Kertas 1

Mei

2006

1 jam

Apr

May

June

July

Month

10 000

20 000

50 000

30 000

40 000

1

DIAGRAM 16

14 cm

Q

R

S

O

P

DIAGRAM 13

O

x

50

60

Q

R

P

DIAGRAM 23

5

Grade B

Grade A

TABLE 1

DIAGRAM 14

U

R

Q

S

T

P

x

35

DIAGRAM 9

A

B

E

C

100

50

124

x

DIAGRAM 20

Mar

DIAGRAM 18(a)

(2x + 1) cm

y cm

3 cm

S

P

Q

R

M

N

L

K

DIAGRAM 12

75

40

Q

P

y

x

DIAGRAM 8

x

DIAGRAM 3

B

C

D

17 cm

4 cm

A

DIAGRAM 11

G

H

R

F

12 cm

DIAGRAM 6

V

W

D

U

B

J

N

L

M

K

EMBED Equation.3

60

110

DIAGRAM 7

>>

>>

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

EMBED Equation.DSMT4

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