Kertas 1

UNIT PEPERIKSAAN & PENILAIANSEKOLAH MENENGAH KEBANGSAAN TUNKU BESAR BURHANUDDIN

71550 SERI MENANTI, NEGERI SEMBILAN

PEPERIKSAAN PERTENGAHAN TAHUNTINGKATAN 5 2010

MATEMATIK

Kertas 1

Satu jam lima belas minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. Kertas soalan ini mengandungi 40 soalan.

2. Jawab semua soalan.

3. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan.

4. Bagi setiap soalan hitamkan satu ruangan sahaja.

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

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

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

Di Sediakan Oleh Di Semak Oleh

__________________________ (Sunita binti Mukhtar )

Kertas soalan ini mengandungi 15 halaman bercetak

1449/1@2010 [Lihat sebelahSULIT

SULIT1449/1MatematikKertas 1Mei 20101 jam

SULIT1449/1MatematikKertas 1Ogos 20041 jam

1449/1

Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan.

PERKAITAN1. .

2.

3.

4.

5.

6.

7.

8. Titik Tengah

9. Purata laju =

10. Min =

11. Min =

12. Teorem Pithagoras

13.

14.

BENTUK DAN RUANG

1. Luas trapezium = hasil tambah dua sisi selari tinggi

2

2. Lilitan bulatan = d = 2j

3. Luas bulatan = j2

4. Luas permukaan melengkung silinder = 2jt

5. Luas permukaan sfera = 4j2

6. Isipadu prisma tegak = luas keratan rentas panjang

7. Isipadu silinder = j2t

8. Isipadu kon = j2t

9. Isipadu sfera = j3

10. Isipadu piramid tegak = luas tapak tinggi

11. Hasil tambah sudut pedalaman poligon = ( n 2 ) 180 0

12.

13.

14. Faktor skala, k =

15. Luas imej = k 2 luas objek

Answer All Questions

1 Round of 0.0040055 to three significant figures

3

A 0.004 C 0.00401

B 0.0040 D 0.004006

2

A C

B D

3 Express 351 000 in standard form

A 3.51 10 3 C 3.51 10 -3

B 3.51 10 5 D 3.51 10 -5

4 The area of rectangular plot is 7.2km2. Its width is 2 400m. The length, in m, of the nursery plot is

A 3 103 C 4.8 103

B 3 104 D 4.8 104

5 Express 1768 as a number in base five

A 1015 C 2315

B 1265 D 10015

6 111012 + 11102 =

A 1000112 C 1011112

B 1110012 D 1010112

7

4

P T

R

U

V

W

Q

y

x

S

Diagram 1

In Diagram 1, PQRST is a regular octagon. QRUVW is a regular pentagon . Find the value of x + y

A 153 C 175.5

B 165.5 D 243

8

In Diagram 2, PQRS is a square and RQT is a isosceles. Find the value of y.

A 85 C 105

B 100 D 115

9

In Diagram 3, PAQ dan PBS is a tangent to the circle centre

AC = BC. Value of x is

A 32 C 58

B 52 D 64

10 In Diagram 4 shows two vertical poles, PQ and YX , on the horizontal plane,

Y 25m

The angle of depression of vertex Y from vertecx P is 420. Calculate the angle

5

P

yo

T

S R

Q

30

Diagram 2

P

Q X10 m

Diagram 4

Diagram 3

xo

B S

128

P

CA

O

Q

of elevation of vertex Y from vertex QA 32

B 410 59’

C 570 51’

D 680 11’

11

In Diagram 5 , ABC is a straight line. BC is 10. Find the value

A C

B D

12 Which one of the following graphs represents y = cos xo for 0 x 180 ?

A B

C D

6

A B C

X

Y

12 cm

6 cm

Diagram 5

y

1

0 90

- 1

180x

90 180 x0

- 1

1

y

y

18090

-1

0

1

x

18090x

0

-1

1

y

13 Diagram 6 shows a right prism with a horizontol base ELKG.

Name the angle between line FK and the plane EFG.

A C

B D

14 110112 + 1112 =

A 1000102 C 1100112

B 1011002 D 1111012

15 Diagram 7 , M’ is the image of M under a translation. T’ is the image of T under a same translation.

Diagram 7A (-4, 7) C (4, 1)

B (-2, 5) D (6, -1)

16 In Diagram 8, the triangle PQR is the image of the triangle SQT under an enlargement

Diagram 8Find the scale of the enlargemet

7

E

G K

L

JF

DIAGRAM 6

A C

B D 3

17 Diagram 9 shows two straight lines, ST and S’T’ drawn on a square grid S’T’ is the image of ST under a rotation. Which of points A, B, C, D is the centre of the rotation

Diagram 9

18

A

B 22 18182 yxyx CD

19 then p =

A C

B D

20

A

B

C

D

21 Given that Express r in terms of s.

8

A C

B D

22 Simplify

A C

B D

23 The gradient of the straight line 4x - 2y = 3A -4 C 2B -2 D 4

24 Given that , find the value of x

A 2 C

B 1 D

25 List all the integers of t that saticfy the inequlities

A 0, 1, 2, 3 C -1, 0, 1,2,3,4

B -1, 0, 1, 2 ,3 D -2, -1, 0, 1, 2,3,4

26

A C

B D

27 The region defined by the inequalities .

A B

C D

9

4

-2x

y

-4

2x

y

4

2x

y

4

2 x

y

28 If , then

A -5 C 1

B -1 D 2

29 =

A C

B D

30 Which graph represents A B

C D

31 Find the x-intercept of the straight line A CB D

32 Given that and the Venn diagram that represents these relationships is

10

y

xO

4

y

xO

-4

y

xO

4

y

xO

-4

A B

C D

33 Diagram 10 is a venn diagram which shows the universal set ξ = P and set Q

The shaded region in the venn diagram represents the setsA P’ ∩ Q’ C P ∩ Q’

B P’ ∩ Q D P ∩ Q

34 Diagram 11 is venn diagram which shows the elements of sets P,Q and R

Diagram 11

If the universal set then set . is A { 1,2 } C {1,2,5 }

11

Q

PR

R

QP

Q

P R

R

P Q

P Q

Diagram 10

.5 .6 .4 .3 .1 2

B { 3, 6 } D {3,4,6 }

35 It is given that and T = 32 when x = 4 and w = 6. Express T in terms of w and

x.

A B

C D

36 Given that and when and . Calculate value of S when

and

A 9 C 36

B 15 D 135

37 Diagram 12 shows some number cards

13 21 27 29 33 35

Diagram 12

A card is picked at random. State the probability that a prime number is picked

A 3/2 C 1/2

B 1/3 D 1/6

38 Class 5 Bestari consists of male students and female srudents. The number of male students in the class is 16. If one student is chosen at random, find the probability of choosing a male student is 4 / 9. Determine the number of female in 5 Bestari ?

A 20 C 28B 24 D 36

39 Table 1 shows the number of cars that visited a service centre for 5 consecutive days

Days Number of cars

Monday 20

Tuesday 40

Wednesday 50

Thursday 30

12

Friday 40

Table 1The mean is

A 35 C 40

B 36 D 50

40 Table 2 shows the distribution of the scores of 40 students in a health quiz

Table 2

If the above data is represented using a pie chart , then the angle of the sector of the modal score is

A 900 C 1530

B 1170 D 2700

END OF THE QUESTIONS PAPER

By:sue

Score 1 2 3 4

Frequency 6 17 13 4

13