matematik tingkatan 3 k1 mid year johor 2009

8/2/2019 Matematik Tingkatan 3 K1 Mid Year Johor 2009

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SULIT 50/1

50/1MatematikKertas 1Mei20091 1/4 jam

UNIT PENGURUSAN AKADEMIKPEJABAT PELAJARAN DAERAH JOHOR BAHRU

______________________________________________

PEPERIKSAAN PERTENGAHAN TAHUN SETARA

2009

MATEMATIKTINGKATAN TIGA

Kertas 1

Satu jam lima belas minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. Kertas soalan ini adalah dalam Bahasa Inggeris sahaja.

2. Calon dikehendaki membaca maklumat di halaman 2.

Instruction : This question paper consists of 40 questions. Answerall questions. Each questions

is followed by four choices of answers A, B, C and D. For each question, choose one answer only.

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

50/12009 Pejabat Pelajaran Daerah Johor Bahru [Lihat sebelah

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INFORMATION FOR CANDIDATES

1. This question paper consists of 40 questions.

2. Answerallquestions.

3. Answer each question by blackening the correct space on the answer sheet.

4. Blacken onlyone space for each question.

5. If you wish to change your answer, erase the blackened mark that you have done. Then blacken thespace 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 pages 3 to 4.

8. You may use a non programmable scientific calculator.


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

RELATION

1nmnm

aaa+

=2 nmnm aaa =

3 ( ) mnnm aa =

4 Distance = ( ) ( ) 2212

21 yyxx +

5 Midpoint, ( )

++=

2,

2, 2121

yyxxyx

6 Average speed = distance travelledtime taken

7 Mean = sum of datanumber of data

8 Pythagoras Theorem, 222 bac +=


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SHAPES AND SPACE

1 Area of rectangle = length width

2 Area of triangle = 2

1base height

3 Area of parallelogram = base height

4 Area of trapezium = 2

1sum of parallel sides height

5 Circumference of cirle = rd 2=

6 Area of cirle = 2r

7 Curved suurface area of cylinder = rh2

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 = hr2

12 Volume of cone = hr2

3

1

13 Volume of sphere =3

3

4r

14 Volume of right pyramid = 3

1base area height

15 Sum of interior angles of a polygon = ( ) 1802n

16 arc length = angle subtended at centrecircumference of cirle 360

17 area of sector = angle subtended at centrearea of circle 360

18 Scale factor, k, =PA

PA'

19 Area of image = 2k area of object


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Answerallquestions.

1. Find the sum of 537 - 344 + 22 557

A 22 570 C 24 570

B 22 750 D 24 750

2. 70 + (60- 34) (13+10)

A 2208 C 668

B 1636 D 1258

3. The number of prime numbers between 20 and 50 is

A 6 C 7

B 8 D 9

4. The LCM for 6, 8, and 9 is

A 18 C 24

B 54 D 72

5.

= 41

6

5

A3

1 C

12

7

B6

4 D

12

9

6.=

4

31)

8

1

3

1(

A141 C

61

B42

5 D

42

11

7.= 2.0

2

18.0


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A 1.0 C 3.0

B 2.0 D 4.0

8. =0724.0724.0

25.05.2

A 10 C 1000

B 100 D 10 000

9. A school has 800 pupils. 300 of them are girls. Calculate the percentage of boys in the school?

A 6.25 % C 625 %

B 6.75 % D 62.5 %

10. Mr. Ho borrows RM250 000 from a bank which changes a yearly interest rate at 6.25%. The

interest Mr. Ho will have to pay after a period of 6 months is

A RM 7182.50 C RM 7812.50

B RM 7281.50 D RM 8712.50

11. =+ )12()6(23

A 41 C 5

B 17 D 3

12. Find the time which is 6 hours 35 minutes before 8.50 a.m.

A 12.15 a.m. C 2.15 a.m.

B 1.15 a.m. D 3.15 a.m.

13. Which of the following is an acute angle?

A 87 C 170

B 90 D 357

14. Name the following polygon in diagram 1


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Diagram 1

A Pentagon C Heptagon

B Hexagon D Octagon

15. Diagram 2 shows a rectangle, PQRS.

P Q

Diagram 2

Calculate its perimeter, in cm.

A 15 x C 48 x

B 26 x D 210 x

16.

Diagram 3

Diagram 3 shows the net of a

A Cone C Prisme

B Sphere D Pyramid

17. -3 [ (-8) (-2)] =

A -30 C -12B -18 D 12

18.1.9

4

11 =

A 0.19 C 0.37


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23 x

12 +x

7

R


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B 0.65 D 0.91

19. 15 3 64 =

A 25 C 23

B 19 D 11

20.=

ap

pqay

7

)5(14

A 10aq C 10pq

B 10qy D 10ay

21. If yy 22104 = theny

A -2 C 1

B -1 D 2

22. Givenp : q = 5 : 4. Calculate the value ofq ifp = 6.

A 3.3 C 7.5

B 4.8 D 10

23.

Based on sidesx,y andzof the triangle above, which equation below is true ?

A x2 = y2 + z2 C z2 = x2 + y2

B y2 = x2 + z2 D z2 = y2 x2


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Diagram 4


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24.

Diagram 5

Diagram 5 shows a horizontal linePQ on a Cartesian plane. IfP(-5, -6) and the length ofPQ is 10

units, the coordinates of point Q are

A (-5,4) C (5,4)

B (5,-6) D (15,16)

25.

Diagram 6

In diagram 6,PR is parallel to the x-axis and the distance ofPR is 16 units. The distance ofQR in

units, is

A 18 C 22

B 20 D 25

26. The diagram 7, EFGH is a square. S and U are the midpoints of lines EF and

GH respectively.

Diagram 7

What is the locus of points that are equidistant from lines EH and FG ?


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P Q

Q(-4,14)

P(-4,2) Rx

0

y


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A Diagonal EG C Line EF

B Diagonal FH D Line SU

27.

Diagram 8

In the diagram 8, OPQR is a square. Find the area, in cm 2 , of the whole diagram.

A 36

2

5 + C 1815 +

B 185 + D 3615 +

28.

Diagram 11

Diagram 9

The diagram 9 is drawn on a tessellation of congruent equilateral triangles. Which of the shapes

labelled A, B, C and D is the image of shape M under a rotation about point O?29. Calculate the total surface area in cm2, of a solid cylinder with a diameter of 4p cm and a height of

12p cm

A228 p C 256 p

B248 p D 272 p


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30. 2003

2004

2005

What is the respective frequency for the mode from the pictograph above?

A 300 C 500

B 400 D 600

31. In the figure below, LMN is an isosceles triangle. JKLM is a straight line.

Diagram 11

Find the value ofy.

A 105 C 125

B 115 D 140

32. In the figure, PQRST is a pentagon.


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J K L M

N

70

y

3x

2x

100

95

130

P Q

RT

Represent 100 lamps

Diagram 12

Diagram 10


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Find the value ofx

A 33 C 53

B 43 D 63

33.

In the diagram 13, PQRS is a circle with centre O. POR is diameter and QR=RS. Find the value of

x.

A 20 C 70

B 50 D 80

34.


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S

x

O

P R

S

40

100

85

x

Q

Diagram 13


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In the diagram 14, PQRS is a circle with centre O and PST is a straight line. Find the value ofx.

A 15 C 45

B 35 D 50

35. Table below show the number of books read by a group of students in a week.

Number of books 1 2 3 4 5

Number of students 3 0 1 5 6

The median for the data is

A 1 C 4

B 3 D 5

36. Find the value of22 )22(

A 64 C 8

B 16 D 437.

Simplify =2

4

k

kk

A 6k C 8k

B 7k D 3k

38.Simplify =

+

x

x

x

12

A 1x Cx

x1

Bx

x 3+ D

x

x 1

39.Given that ,

21

5k

p=

expressp in terms ofk

Ak

kp

2

5= C

k

kp

4

1=


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2 + X+1

X X

Diagram 14

Table 1


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Bk

kp

2

5= D

k

kp

4

1+=

40.

In the diagram 15 shows a right cylindrical container. 60% of the container is filled with water.

Calculate the volume, in litres, of the water in the container.

A 5.5 C 8.8

B 6.6 D 9.9

END OF QUESTION PAPER


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35 cm

20 cm

Diagram 15

matematik tingkatan 3 k1 mid year johor 2009

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