mathematics f5 mid year 2010 smktunkubesarburhanuddin p1

Kertas 1

UNIT PEPERIKSAAN & PENILAIAN

SEKOLAH MENENGAH KEBANGSAAN TUNKU BESAR BURHANUDDIN 71550 SERI MENANTI, NEGERI SEMBILAN

PEPERIKSAAN PERTENGAHAN TAHUN

TINGKATAN 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 sebelah SULIT

SULIT 1449/1 Matematik Kertas 1 Mei 2010

141 jam

SULIT

http://tutormansor.wordpress.com/

2

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

PERKAITAN 1. nmnm aaa +=× . 2. nmnm aaa −=÷ 3. ( ) mnnm aa =

4.

−

−−

=−

acbd

bcadA 11

5. )()()(

SnAnAP =

6. )(1)'( APAP −= 7. 2 2

1 2 1 2( ) ( )Jarak x x y y= − + − 8. Titik Tengah

( )

++

=2

,2

, 2121 yyxxyx

9. Purata laju = diambilyangmasadilaluiyangjarak

10. Min = databilangan

datanilaitambahhasil

11. Min = apankerketambahhasil

)apankerketengahtitiknilai(tambahhasil ×

12. Teorem Pithagoras 222 bac +=

13. 12

12

xxyym

−−

=

14. xasanintpyasanintpm

−−

−=

BENTUK DAN RUANG


3

1. Luas trapezium = ×21 hasil tambah dua sisi selari × tinggi

2. Lilitan bulatan = πd = 2πj

3. Luas bulatan = πj2

4. Luas permukaan melengkung silinder = 2πjt

5. Luas permukaan sfera = 4πj2

6. Isipadu prisma tegak = luas keratan rentas × panjang

7. Isipadu silinder = πj2t

8. Isipadu kon = 31πj2t

9. Isipadu sfera = 34πj3

10. Isipadu piramid tegak = ×31 luas tapak × tinggi

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

12. 0360pusatsudut

tanbulatanlililengkokpanjang

=

13. 0360pusatsudut

tanbulaluassektorluas

=

14. Faktor skala, k = PAPA '

15. Luas imej = k 2 × luas objek


4

Answer All Questions 1 Round of 0.0040055 to three significant figures

A 0.004 C 0.00401

B 0.0040 D 0.004006

2 =× −41011.8

A 0000811.0 C 81100

B 000811.0 D 811000

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

P T

R

U

V

W

Q

y

x

S

Diagram 1


5

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

P

yo

T

S R

Q

30

Diagram 2

P

Q X

10 m

Diagram 4

Diagram 3

xo

B

S

12

P

C A

O

Q


6

The angle of depression of vertex Y from vertecx P is 420. Calculate the angle of elevation of vertex Y from vertex Q A 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 cos ABX∠

A 51

− C 53

−

B 52

− D 54

−

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

A B

C D

A B C

X

Y

12 cm

6 cm

Diagram 5

y

1

0 90°

- 1

180° x

90° 180° x 0

- 1

1

y

y

180° 90°

-1

0

1

x

180° 90° x

0

-1

1

y


7

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

Name the angle between line FK and the plane EFG.

A KFE∠ C KFG∠

B KEF∠ D KGF∠

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 7 A (-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 8 Find the scale of the enlargemet

E

G K

L

J F

DIAGRAM 6


8

A 13

C 12

B 2 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 =−− 2)3(2)3)(2( yxyx A 22 18182 yxyx ++− B 22 18182 yxyx −+− C 22 1862 yxyx −+− D 22 1862 yxyx +−−

19 ,532=−

pthen p =

A 161

C 41

B 81

D 21

20 =−

−−

vv

uvvu

284

A u21

B u

u2

2−

C u

u2

2+

D u

u2

2−−


9

21 Given that .335 rss

r=− Express r in terms of s.

A )31(3

5s−

C )31(3

5s+

B )13(3

5−s

D 5

)13(3 −s

22 Simplify ( )42 5m m÷

A m C 11m B 3m D

13

m

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

B -2 D 4

24 Given that 2

933

xx = , find the value of x

A 2 C 23

B 1 D 12

25 List all the integers of t that saticfy the inequlities 3 8 5 4t t t− < ≤ +

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 =

−−

+

61

52

341

A

34

C

18

B

136

D

138

27 The region defined by the inequalities 42 +≥ xy . A B

4

-2 x

y

-4 2

x

y


10

C D

28 If ( )

−

−=−

62

1241

4q

p , then =+ qp

A -5 C 1

B -1 D 2

29 4 4 2 32 2 1 2 −

=

A 8 162 10

−

C 4 162 10

B

03214

D 4 89 10

30 Which graph represents ?43 += xy

A B

C D

31 Find the x-intercept of the straight line 3 5 5y x+ = A 2− C 1 B 1− D 2

4

2 x

y

4

2 x

y

y

x O

4

y

x O -4

y

x O

4

y

x

O -4


11

32 Given that ,QQP =∪ ,RQR =∩ and .' RRP =∩ the Venn diagram that represents

these relationships is

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 sets

A 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

Q

P R

R

Q P

Q

P R

R

P Q

ξ

P Q

Diagram 10

.5 .6 .4 .3 .1 2


12

If the universal set ,P Q Rξ = ∪ ∪ then set 'Q . is A { 1,2 } C {1,2,5 }

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

35 It is given that wxT

2

∝ and T = 32 when x = 4 and w = 6. Express T in terms of w and

x.

A wx 23

B wx224

C w

x12

2

D wx 212

36 Given that RS

Q 1∝ and 45=Q when

21

=R and 6=S . Calculate value of S when

31

=R and .27=Q

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 28 B 24 D 36

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


13

Days Number of cars

Monday 20

Tuesday 40

Wednesday 50

Thursday 30

Friday 40

Table 1 The 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 r epresented us ing a pie char t , then the angle of the sector of the moda l 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


mathematics f5 mid year 2010 smktunkubesarburhanuddin p1

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