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SEK MEN. KEB TELOK KUMBAR

PEPERIKSAAN SEMESTER SATU TINGKATAN TIGA

2 0 0 6

M A T E M A T I K

Satu jam empat puluh lima minit

=============================================================

Nama :______________________________________

Tingkatan : ______________________________________

Angka Giliran : ____________________________________

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1 Kertas soalan ini mengandungi 2 bahagian

( Bahagian 1 dan Bahagian 2)

2 Bahagian 1 mengandungi 30 soalan objektif mana bahagian 2

mengandungi 10 soalan subjektif

3 Jawabsemuasoalan.

6 Tanda jawapan soalan objektif pada kertas soalan OMR yang

disediakan manakala soalan subjektif perlu dijawab pada kertas soalandan pastikan semua jalan kerja ditunjukkan.

7 Satu senarai rumus disediakan di halaman 2 hingga 3.

8 Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh

diprogram.

_____________________________________________________________________

Kertas soalan ini mengandungi 15 halaman bercetak

[Lihat sebelah50/1 SULIT

50

Matematik

Kertas

2006

1 jam

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

are the ones commonly used.

RELATIONS

1 a m a n = a nm +

2 a m a n = a nm

3 ( a m ) n = a nm

4 Distance = 212

2

12)()( yyxx +

5 Midpoint

(x ,y ) =

++

2

,

2

2121yyxx

6 Average speed = distance travelled

time taken

7 Mean = sum of data___

number of data

8 Pythagoras Theorem

c2= a2 + b2

SHAPE AND SPACE

1 Area of rectangle = length x width

2 Area of triangle =2

1 x base x height

3 Area of parallelogram = base x height

4 Area of trapezium =2

1x sum of parallel sides x height

5 Circumference of circle = d = 2r

6 Area of circle = r2

7 Curved surface area of cylinder = 2r h

8 Surface area of sphere = 4 r2

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2

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9 Volume of right prism = cross sectional area x length

10 Volume of cuboid = length x width x height

11 Volume of cylinder= r2 h

12 Volume of cone = 31

r2 h

13 Volume of sphere =3

4 r3

14 Volume of right pyramid =3

1x base area x height

15 Sum of interior angles of a polygon = ( n 2 ) x 1800

16 arc length = angle subtended at centre

circumference of circle 360

17 area of sector = angle subtended at centre

area of circle 360

18 Scale factor, k =PA

PA'

19 Area of image = k2 x area of object

Disediakan oleh Disemak oleh

__________________________ ______________________

( Puan Rozita Bt Katan ) (Cik Hajah Nooriah Mohamed)

Ketua Panitia Matematik)

Section 150 [ Lihat sebelah

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3

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Answerall questions. (Times provided 1 hour)

1. 6 793 rounded off to the nearest hundred is

A. 7 000

B. 6 800

C. 6 790D. 6 700

2. 460 ( 24 8 ) 2 =

A. 454

B. 467

C. 853

D. 917

3. The lowest common multiple of 2, 6 and p is 30. What is the value of p ?

A. 8

B. 10

C. 12

D. 14

4. 6y 5 ( y 2 ) =

A. 11y + 2

B. y + 10

C. 11y 2D. 11y + 10

5. Which of the following are prime numbers ?

A. 3 , 15, 17

B. 3, 18, 19

C. 13, 18, 19

D. 13, 17, 19

6 Given that 8a = 72. Find the value of a

A. 9

B. 12

C. 13

D. 15

7. Find the value of a if a : b = 3 : 5 and

a + b = 16.A. 6

B. 8

C. 10D. 14

8. What is the time interval between 0820 hours and 1940 hours the next day?

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A. 11 hours 20 minutes

B. 13 hours and 20 minutes

C. 35 hours and 20 minutes

D. 42 hours and 20 minutes

9. 25,26,29,26,25,24,24,25,29

The mode for the numbers given above is

A. 24

B. 25

C. 26

D. 29

10. The value of 0.0027 lies between

A. 0.06 and 0.07B. 0.05 and 0.06

C. 0.5 and 0.6

D. 0.2 and 0.7

11.

Table 1

Table 1 shows the number of hospitals located in 4 states. Which is the state

with the most number of hospitals?

A. P

B. Q

C. RD. S

12. The median for 3 , 12 , 8 , 4 , 6

A. 3

B. 4

C. 6

D. 8

13

50 [ Lihat sebelah

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5

States

Number of

hospitals

P

Q

R

S

9

23

16

21

P Q R

x

110

30

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Diagram 1

In diagram 1, PQR is a straight line. The value of x is

A. 40

B. 60

C. 80

D. 100

14.

Diagram 2

Diagram 2 shows a regular pentagon. Find the value of x.

A. 72

B. 71

C. 62

D. 48

15.

Diagram 3

The pie chart in diagram 3 shows the amount of certain product sold in four

months. If the total sale is RM 2 700, find the amount of sale in August.

A. RM 1 250

B. RM 1 350

C. RM 1 450D. RM 1 650

50 [ Lihat sebelah

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6

x

48

58

78

July

June

May

August

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A. 45

B. 75

C. 105

D. 120

19. In January, Juliana weighed 58.56 kg. By June her weight decreased by 2.45kg. How much did Juliana weight in June ?

A. 56.11 kg

B. 57.01 kg

C. 58.11 kg

D. 59.01 kg

20. Find the number of sides of regular polygon if the sum of all the interior

angles is 720.

A. 5

B. 6

C. 9

D. 12

21.

Diagram 7

In diagram 7, O and C are the centres of the circles. Given that AB = 8 cm and

CD = 20 cm. Find the length of GH.

A. 60 cm

B. 56 cm

C. 52 cmD. 48 cm

22. Find the lowest common multiples ( LCM ) of 15 and 50.

A 5

B 15

C 50

D 150

23. The temperature of a piece of frozen meat was 10 C when it was taken out

of the freezer. After an hour, the temperature rose by 15 C What was the newtemperature of the fish?

50 [ Lihat sebelah

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8

D A B

G

H

C O

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A 25

B 5

C 5

D 25

24.

.

140

a50

b

100

Q

P T

S

R

Diagram 8

In Diagram 8, PQRST is a pentagon. The value of a + b is

A 180o

B. 210o

C. 230o

D. 250o

25.

Diagram 9

In Diagram 9, all the lines are straight lines Find the value of m + n

A. 70o

B. 150o

C. 210o

D. 250o

26. Table 2 shows the grades obtained by 30 students in a test.

Table 2

Based on the table, the mode is

A. Grade 1B. Grade 2

C. Grade 3

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9

m

n

70

140

Grade

Frequency

1 42 3

64 8 12

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D. Grade 4

27. In diagram 10, TQRS is a rectangle, PXS is an arc of a circle with center T.

Diagram 10

Calculate the perimeter of the whole figure ( = )A. 54 cm

B. 61 cm

C. 68 cm

D. 75 cm28.

Diagram 11

In the diagram 11, Q and R are the centers of two equal circles. If AB = 16 cm and

RS = 6 cm, then calculate the length of the straight line PQRS, in cm.

A. 20 cm

B. 24 cm

C. 26 cm

D. 28 cm

29. Diagram 12 shows a sequence of numbers.

The value ofp is

A. 13

B. 12

C. 11

D. 10

30. Given the set of numbers 10,11,11,12,12,13,13,14,15,15,15,20,27. Find the

difference between the mode and median.

A. 1B. 2

C. 5

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10

S

7 cm

14 cm

Q

R

P

T

X

22

7

P S

A

Q

B

R

23 , 22, 20 , 17, p, 8

Diagram 12

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D. 10

Section 2

Answerall the question. ( Time provide 45 minutes )

1 Calculate the value of and express the answer as afraction in its lowest term [ 2 marks]

Answer:

2. Calculate the value of 0.5 + 0.2 and express the answer as a

decimal.

[ 2 marks ]

3. (a) Find the value of 3 0.343 .

(b) Calculate the value of 62 3

[ 3 marks]

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11

11

4

1

21

6

3

5

2764

2

1

2

2

3

3

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4. In Diagram 1 ,polygon A is drawn on as square grid of sides 1 unit

Draw the image of polygon A under the translation [ 2 marks]

Diagram 1

5. In Diagram 2, draw image ofP under the reflection on line RS. [ 3 marks]

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12

7

6y x

x x

8

10

6

4

2

42 1086 1412

A

Diagram 2

P

R

S

3

4

3

5

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6. Set squares and protractors are not allowed for this question

Diagram 3 shows a triangle PQRS . T is a point on the straight line QTR.

(a) Using the straight line QR in Diagram 4, construct

(i) Parallelogram PQRS,

(ii) a perpendicular line PS to the straight line QR.

(b) Based on the diagram constricted in (a), measure the distance PR

[5 marks]

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13

Diagram 3

600

Q T

P

R

5 cm

S

Q R

Diagram 4

5

6

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7. The bar chart shows the monthly saving of Rahman.

0 Jan Feb Mar April May

Find the difference between the highest and the lowest saving.

[ 3 marks]

7. The data in Diagram 6 shows grades obtained by 20 students in a test.

Diagram 5

(a) Using the data, complete the frequency table in the answer space.

(b) State the mode.

Answer

(a)

(b)

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A B A C D C A

B D B B C C D

B A B A B A

Grades

Frequency

A B DC

Saving (RM)

100

200

300

400

3

7

3

8

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9. The line graph shows the monthly saving of Nazrul Hakim.

.

Find the difference between the highest and the lowest saving.

[ 4 marks]

10. Solve the following equations.

(a) p + 17 = 24

(b) 2 ( m 3 ) = m + 7

[ 3 marks]

50 [ Lihat sebelah

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15

10

8

6

4

2

Month

Saving (RM)

0 Jan Feb Mar April May

100

200

300

400

4

9

3

10