SULIT

SULIT 1449/1

1449/11449/1MatematikKertas 1Mei 20071 jam

SEKTOR SEKOLAH BERASRAMA PENUHBAHAGIAN SEKOLAHKEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERTENGAHAN TAHUNTINGKATAN 5 2007

MATEMATIK

Kertas 1

Satu jam lima belas minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. Kertas soalan ini adalah dalam Bahasa Inggeris.

2. Calon dikehendaki membaca maklumat di halaman 2.

Kertas soalan ini mengandungi 24 halaman bercetak.

INFORMATION FOR CANDIDATES

1. This question paper consists of 40 questions.

2. Answer all questions.

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

4. Blacken only one space for each question.

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

8. You may use a non-programmable scientific calculator.

MATHEMATICAL FORMULAE

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

1am x an = a m+ n

2am an = a m n

3( am )n = a mn

4A-1 =

5P ( A ) =

6P ( A ) = 1 P(A)

7Distance =

8Midpoint, ( x, y ) =

distance travelledtime taken9Average speed =

sum of datanumber of data10Mean =

sum of (class mark frequency)sum of frequencies11Mean =

12Pythagoras Theorem c2 = a2 + b2

13m =

y-interceptx-intercept14m =

SHAPES AND SPACE

1Area of trapezium = sum of parallel sides height

2Circumference of circle = d = 2r

3Area of circle = r2

4Curved surface area of cylinder = 2rh

5Surface area of sphere = 4r2

6Volume of right prism = cross sectional area length

7Volume of cylinder = r2h

8Volume of cone = r2h

9Volume of sphere = r3

10Volume of right pyramid = base area height

11Sum of interior angles of a polygon = ( n 2) 180

12

13

14Scale factor , k =

15Area of image = k 2 area of object

Answer all questions

1Round off 0.03204 correct to three significant figures.

A0.03

B0.032

C0.0320

D0.0321

2

A

B

C

D

3

A

B

C

D

4Diagram 1 shows a rectangle and three regular octagons. Given that the area of an

12.5 unitoctagon is .

13 unit

DIAGRAM 1

Find the area of the shaded regions and give your answer correct to three significant figures.

A92.4 unit2

B92.5 unit2

C92.400 unit2

D92.500 unit2

5Express as a number in base eight.

A

B

C

D

6

A

B

C

D

7In Diagram 2, PQRST is a regular pentagon. UTR is a straight line.

PQRTSU30yx

DIAGRAM 2

The value of

A36

B42

C78

D108

8NOLM40x50NOLM40x50In Diagram 3, PQRS is a rhombus, PSTU is a trapezium and QST is a straight line.

xSTPUDIAGRAM 3QR

The value of x is

A

B

C

D

9Diagram 4 shows a circle with centre O. LM and LN are tangents to the circle at points M and N respectively.

NOLM40x50

DIAGRAM 4

Find the value of x.

A30

B40

C50

D60

10In Diagram 5, PQRS is a cyclic quadrilateral and TS is a tangent to the circle at point S.

DIAGRAM 5

Find the value of x.

A30

B40

C60

D80

11Diagram 6 shows points plotted on Cartesian plane.

-2 0 2 4 6 8 x246yDA RBC

DIAGRAM 6

Determine which of the point, A, B, C or D, is the image of point R under a 90 anticlockwise rotation about the centre (3, 1).

12Diagram 7 shows two quadrilaterals, PQRS and PQRS drawn on square grids. Quadrilateral PQRS is the image of quadrilateral PQRS under an enlargement at centre P with the scale factor k.

PQQRS RS

DIAGRAM 7

Find the value of k.

A2

B

C

D2

13In Diagram 8, O is the centre of a unit circle.

H (0.4226, 0.9063)Ox1-11-1DIAGRAM 8yy

Find the value of sin .

A0.9063

B0.4226

C0.9063

D2.1446

14Diagram 9 shows the graph of y = cos x.

( q,0.5)

DIAGRAM 9

Find the value of q.

A90

B120

C150

D210

15Determine which of the following is the graph of y = sin x for 090.

A

B

C

D

16Diagram 10 shows a right triangular prism. U is the midpoint of TV.

4 cm8 cmPQSVUDIAGRAM 10RT

Name the angle between the line UQ and the plane PSTV.

APQU

BQUP

CQPU

DQUV

17Express as a single fraction in its simplest form.

A

B

C

D

18

A

B

C

D

19

A

B

C

D

20Given that , express p in terms of r.

A

B

C

D

21Given that , express y in terms of x.

A

B

C

D

22

Simplify

A

B

C

D

23Simplify .

A

B

C

D

24Given that , then k =

A

B

C

D

25

List all the integers x which satisfy both of the inequalities and

A3, 2, 1, 0, 1, 2

B2, 1, 0, 1, 2

C2, 1, 1, 2

D0, 1, 2

26

The solution for and is

A

B

C

D

27Table 1 shows the frequency of the score obtained in a game.

Score 01234Number of studentx4236

TABLE 1

Given that the median score is 2, find the value of x.

A1

B2

C3

D4

28Diagram 11 shows the monthly expenditure among the students of 5 Alfa and 5 Beta.

DIAGRAM 11

Calculate the mean of expenditure, in RM, of the students from the two classes.

ARM 5.00

BRM 25.00

CRM 26.38

DRM 27.05

29Determine which of the following graphs represents .

A

B

C

D

30Diagram 12 shows a Venn diagram with the universal set, , set P, Q, and R.

DIAGRAM 12

The shaded region in the Venn diagram represent the set

A

B

C

D

31Diagram 13 shows the number of elements in set X, Y and Z.

YXZ4m122m12DIAGRAM 13

Given that n(X) = n(Y), find the value of m.

A1

B2

C3

D4

32

Given that the universal set . Set , Set and Set .

Set is

A

B

C

D

33Table 2 shows the relation between three variables g, h and f.Given that g varies directly as h and varies inversely as f.

3x6

102

TABLE 2

Find the value of x.

A4

B18

C25

D36

34

Given that and y = when = 2 and x = 2 .

Find the value of when y = 1 and x = 6.

A

B

C1

D2

35A straight line PQ with gradient passes through the point (4, 9). Find the y-intercept of the line.

A7

B8

C10

D20

36

A straight line passes through the points K (0 , 2) and L (, 0) and has a gradient of , find the value of .

A8

B2

C2

D8

37

A box contains 42 red pens and blue pens. If a pen is picked randomly from the box, the probability of picking a blue pen is . Find the number of red pen.

A18

B24

C38

D42

38A two digit number is created from the digits in the set R.Given that R = { x : 2 x 4, x is an integer }. Find the probability that the sum of the two digits is greater than 5.

A0

B

C

D1

39Diagram 15 shows a bar graph which represent the games played by a group of students.

468102GamesNumber of studentsFootballRugbyHockeyTennisDIAGRAM 15

If a student is chosen randomly from the group, state the probability that the student likes to play football.

A

B

C

D

40

=

Find the value of k.

A

B

C

D

END OF QUESTION PAPERS

11449/1 2007 Hak Cipta SBP [Lihat sebelah SULIT