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
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