SULIT 1449/1

1449/1 Matematik Kertas 1 Mei2006 1 ¼ jam

SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERTENGAHAN TAHUNTINGKATAN 4 2006

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. Satu senarai rumus disediakan di halaman 2 hingga halaman 3.

8. Buku sifir matematik empat angka boleh digunakan.

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

Kertas soalan ini mengandungi 23 halaman bercetak

INFORMATION FOR CANDIDATES

1. This question paper consists of 40 questions.

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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 pages 4 to 7.

8. You may use a non programmable specific calculator.

MAKLUMAT UNTUK CALON

1. Kertas soalan ini mengandungi 40 soalan..

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2. Jawab semua soalan.

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

4. Untuk setiap soalan hitamkan satu ruangan sahaja.

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

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

7. Satu senarai rumus disediakan di halaman 4 hingga 7.

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

MATHEMATICAL FORMULAE

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

RELATIONS

1. am an = am + n

2. am an = am - n

3. (am)n = am n

4. Distance =

5. Midpoint

(x, y) =

6. Average speed =

7. Mean =

8. Pythagoras Theorem

c2 = a2 + b2

9.

SHAPE AND SPACE

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distance traveledtime taken

sum of datanumber of data

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1 Area of trapezium = sum of parallel sides height

2 Circumference of circle = d = 2r 3 Area of circle = r2

4 Curved surface area of cylinder = 2rh

5 Surface area of sphere= 4r2

6 Volume of right prism= cross sectional area length

7 Volume of cuboid = length width length

8 Volume of cylinder = r2h

9 Volume of cone = r2h

10 Volume of sphere = r3

11 Volume of right pyramid = base height

12 Sum of interior angles of a polygon = (n – 2) 1800

13

14

15 Scale factor, k =

16 Area of image = k2 area of object.

Answer all questions.

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arc length angle subtended at centre

circumference of circle 3600=

area of sector angle subtended at centre

area of circle 3600 =

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1 Round off 0.01392 correct to two significant figures.

A 0.01

B 0.02

C 0.013

D 0.014

2 Which of the following becomes 1.28 when it is rounded off to three significant figures?

A 1.208

B 1.228

C 1.272

D 1.278

3 Calculate 45.7 + 1.38 – 4 and round off the answer correct to three significant figures.

A 43.0

B 45.1

C 43.1

D 43.08

4 Round off 2 360 correct to two significant figures.

A 24

B 240

C 2 400

D 2 300

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5 State 0.000832 in standard form.

A

B

C

D

6

A

B

C

D

7

A

B

C

D

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8 Express as a single number.

A 0.007564

B 0.00007564

C 0.000007564

D 0.0000007564

9 Diagram 1 shows a square PQRS and a regular hexagon RSTUVW.

Find the value of .

A 180

B 210

C 270

D 360

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Q R

W

V

U

T

P y

S

x

DIAGRAM 1

8

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10 Express as a single fraction in its simplest form.

A

B

C

D

11 Diagram 2 shows a regular pentagon PQRST with centre O.

DIAGRAM 2

Find the value of x + y .

A 54

B 72

C 90

D 108

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P

T Q

S R

y° x°O

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12 Express as a single fraction in its simplest form.

A

B

C

D

13 In Diagram 3, PUV is a straight line and QR is parallel to TS. Given that .

Find the value of x .

A 270

B 284

C 286

D 296

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x°

P U V

Q

R

S

T

DIAGRAM 3

10

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14 Factorise completely.

A

B

C

D

15 Diagram 4 shows two triangles, R and S, drawn on square grids.

R is the image of S under an anticlockwise rotation of 90° .Which of the point, A, B, C or D, is the centre of rotation?

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DIAGRAM 4

R

S

●

●

●

●

A

B

C

D

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16 Solve

A x = 2 or x = 6

B x = 2 or x =

C x = or x = 6

D x = or x =

17 Diagram 5 shows six triangles on square grids.

Q is the image of P under a certain translation. Considering the four triangles,A, B, C or D, which of these is the object, if T is its image under the same translation?

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P

Q

●

●A

B

C

D

T

12

DIAGRAM 5

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A

B

C

D

19 Simplify .

A

B

C

D

20 Which of the following is equal to ?

A

B

C

D

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21 Given . Express m in terms of n .

A m =

B m =

C m =

D m =

22 Given , then k =

A

B

C

D

23 Which of the following is a statement ?

A

B , x is an integer

C

D

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24 ______________ right-angled triangles are isosceles triangles.

The word that is suitable to fill in the blank to produce a true statement is

A All

B No

C Every

D Some

25 Given that then p =

A

B

C

D

26 Given that then q =

A 1

B 9

C 11

D 15

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27 Diagram 6 represents two simultaneous linear inequalities on a number line.

The inequality which represents the common value of both the inequalities is

A

B

C

D

28 Given that where m is an integer . The maximum value of m is

A 3

B 4

C 5

D 6

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0 1 2 3

○

DIAGRAM 6

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29 The gradient of the straight line is

A

B

C

D

30 In Diagram 7, PQ is a straight line.

The gradient of PQ is . What is the x-intercept of PQ ?

A

B

C 8

D 10

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P

Q

(0, 8)

O

y

x

DIAGRAM 7

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31 Which of the following graphs represents ?

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O

O

O

O

A B

C D

y y

y y

x

x

x

x

2

2

1

2

1

2

22

1

2

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32 Table 1 shows the scores of 20 students in a quiz.

Score Frequency

5 – 9 3

10 – 14 8

15 – 19 9

TABLE 1

The size of the class interval is

A 4

B 5

C 5.5

D 7.0

33 Diagram 8 is a pictograph showing the sales of magazines in a particular week. The number of sports magazines sold is not shown.

DIAGRAM 8

Entertainment magazines make up 25% of the total weekly sales. Calculate the number of sports magazines sold.

A 26

B 39

C 84

D 94

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Fashion

Entertainment

Sports

# # # # # # # #

# # # # #

# represents 12 copies of magazines

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34 Diagram 9 is a pie chart which shows the combined results of a test taken by two groups of students. Table 2 shows only part of the results.

Result

Group Number of Passes Number of Failures

Aman 160 70

Bestari

TOTAL 420

TABLE 2

Calculate the number of students in the Bestari group.

A 300

B 310

C 340

D 380

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280° Pass

Fail

DIAGRAM 9

20

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Questions 35 – 36 are based on Table 3.

Table 3 shows the distribution of height of a type of plant in an experiment clone carried out by a group of students.

Height (cm) 0 – 1 2 – 3 4 – 5 6 – 7 8 – 9 10 – 11

Frequency 10 15 30 40 30 10

TABLE 335 Determine the modal class.

A 2 – 3

B 4 – 5

C 6 – 7

D 10 – 11

36 Calculate the mean height of the plant.

A 5.907 cm

B 5.967 cm

C 5.900 cm

D 797.5 cm

37 Given that ξ = { 1, 2, 3, 4, 5, 6, 7, 8, 9 } P = { x : x is a prime number },

Q = { x : x is an even number }.

The elements of are

A 1, 2

B 1, 9

C 2, 9

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D 1, 2, 9

38 Which of the following Venn diagrams represents and

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J

J

J

J

L

L

K

K

K

L

LK

A

B

C

D

22

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39 Diagram 10 is a Venn diagram with the universal set ξ =

Which of the regions, A, B, C or D, represents ?

40 Diagram 11 is a Venn diagram that shows the universal set ξ, set P and set Q .

Given that and n(ξ ) = 18.

A 5

B 6

C 8

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A B C D

P R Q

DIAGRAM 10

ξ

P Q

DIAGRAM 11

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D 9

END OF QUESTION PAPER

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