soalan math pmr k1

7/31/2019 Soalan Math Pmr k1

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SULIT 50/1

SEKTOR SEKOLAH BERASRAMA PENUH

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERTENGAHAN TAHUN SELARAS SBP

TINGKATAN 3

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. Kertas soalan ini mengandungi 40 soalan.

3. Jawab semua soalan.

4. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan

.

5. Bagi setiap soalan hitamkan satu ruangan sahaja.

6. Sekiranya anda hendak menukarkan jawapan, padamkan tanda yang telah dibuat. Kemudian

hitamkan jawapan yang baru.

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

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

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

Kertas soalan ini mengandungi 23 halaman bercetak

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50/1 2007 Hak Cipta Sektor SBP SULIT

1

50/1

Matematik

Kertas 1Mei

20071 jam


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SULIT 50/1

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

commonly used.

RELATIONS

1 m n m na a a + =

2 m n m na a a =

3 ( )m n mna a=

4 Distance = 2 22 1 2 1( ) ( )x x y y +

5 Midpoint

( , )x y = +

2

21 xx,

+

2

21 yy

6 Average speed =distance travelled

time taken

7sum of data

Mean = number of data

8 Pythagoras Theorem2 2 2c a b= +

SHAPE AND SPACE

1 Area of rectangle = length width

2 Area of triangle =1

base height2

3 Area of parallelogram = base height

4 Area of trapezium =1

sum of parallel sides height2

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2


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5 Circumference of circle = 2d r =

6 Area of circle = 2r

7 Curved surface area of cylinder = 2 rh

8 Surface area of sphere = 24 r

9 Volume of right prism = cross sectional area length

10 Volume of cuboid = length width height

11 Volume of cylinder = 2r h

12 Volume of cone = 213

r h

13 Volume of sphere =34

3r

14 Volume of right pyramid =1

3base area height

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

16arc length angle subtended at centre

circumference of circle 360=

o

17area of sector angle subtended at centre

area of circle 360=

o

18 Scale factor, k=PA

PA

19 Area of image = 2 area of objectk

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50/1 SULITS

3


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SULIT 50/1

Answerall questions.

Which of the following numbers that has digit 7 to represent the value of 70 000

A 372 468

B 427 893

C 5 721 480D 469 708

2 42 is a common multiple of 6 andp. Which of the following is a possible value ofp.

A 13

B 14

C 16

D 18

3 Table 1 shows two numbers with their prime factors.

Number Prime factors

63 3, k

90

m, 3, 5

Find the product ofkand m

A 5

B 7

C 9

D 14

4 Diagram 1 shows a sequence of numbers

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50/1 SULIT

11

1,5,,1 4,1 7,1 9,2 0 m

DIAGRAM 1

TABLE 1

4


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The value ofm is

A 12B 11C 10D 7

5 Which of the following statements is true

A The place value of 8 in the number 74 832 is 800.

B The value of digit 3 in the number 32 481 is ten thousands.

In the number 32.45, the value of digit 5 is10

5

D 54.50 rounded off to the nearest tens is 50.00

6 Diagram 2 is an advertisement by a camera seller

If Ali pays RM 500.00 for the camera, calculate the balance he will get

A RM 90

B RM 140

C RM 160

D RM 360

7 Diagram 3 shows the number line

Which of the following is true ?

A )1(6)4( ++B )1(2)4( ++

C 1)2()4( ++D )1()6()4( ++

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50/1 SULITS

RM 450.00

Discount 20%

DIAGRAM 2

-5 -4 -2 -1 0-3 1 2 3

DIAGRAM 3

C

5


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8 Figure 1 is drawn on a square grid.

State the fraction ofP

Qin its lowest term

A

2

1

B

3

2

C

3

1

D

2

3

9The value ofh in the equation 128.0

2

100

3

10

1=+

his

A 10

B 100

C 1 000D 10 000

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50/1 SULIT

6

P Q

FIGURE 1


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10 In Diagram 4, PQR is an equilateral triangle and QRSis an isosceles triangle where

QR = RS.

Find the value ofy.

A 36B 45

C 48

D 60

11A factory has 175 workers.

5

3of them are female.

7

2of the male workers and 42 of

the female workers are married. How many of the workers are married?

A 50

B 62

C 112

D 117

12 In Diagram 5, PJQLR is a semicircle, with centre O and radius of 13 cm. JKL is a

straight line with length of 24 cm.

Calculate the area, in cm, of triangleJQL.

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50/1 SULIT

P S

Q R

T

24 y

DIAGRAM 4

P

JK

L

Q

RO

DIAGRAM 5

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A 48

B 60

C 96

D 104

13 In Diagram 6, OPQR is a parallelogram, drawn on a Cartesian plane. Given that point

Pis )3,0( andPQ = 5 units.

The coordinates of pointR is

A )3,4( B )3,5( C )4,3(D )3,4(

14 Diagram 7 shows a hexagonPQRSTU, drawn on a Cartesian plane.

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P (0,3)

Q

R

O

DIAGRAM 6

x

y

8


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Among the points )3,3(),3,1(),1,0(),1,2(),2,1(),3,1( and )2,0( , how many

points lie in the hexagon?A 4

B 5

C 6

D 7

15 In Diagram 8, O is the centre of the circle EFGH. FJOHand EJG are two straight

lines.

Find the value ofx.

A 55

B 65

C 70

D 80

16 In Diagram 9,PQR andRSTare two right-angled triangles.

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50/1 SULIT

x

y

P Q

R

ST

U

-2

-2

2

2

4

4-4

-4

DIAGRAM 7

E

F

G

H

O

Jx

110

25

DIAGRAM 8

P

Q

T

S R

13 cm

4 cm5 cm

8 cm

DIAGRAM 9

9


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Given that, SRQ is a straight line. Find the area, in cm of the whole diagram.

A 24

B 30

C 36

D 48

17 In Diagram 10,LMNPis a semicircle with centre O.KLNis a straight line.

Find the value ofy

A 115B 125

C 135

D 140

18 In diagram 11, RST is a triangle.

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50/1 SULIT

K

L P

N

M

O

130

y

DIAGRAM 10

R

T U

V

S

W

85

40

m

DIAGRAM 11

10


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Find the value ofm

A 35

B 45

C 55

D 65

19 In Diagram 12, shows an isosceles triangle STUwith the perimeter cm)17( qp + .

Express the length ofSTin cm.

A qp 5

B qp 25 +C qp 210 D 24p+4q

20 In Diagram 13,LMNPis a straight line. Given thatLN:NP= 5 : 2.

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SS

T U

S

cm)37( qp +

DIAGRAM 12

U

L M PN12 cm

63 cm

DIAGRAM 13

11


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Find the length of LM in cm.

A 18

B 33

C 45

D 57

21 A thermometer immersed in ice water shows a temperature of C 7 . After an hour,

the temperature drops another C5 . What is the new temperature reading in C ?A 12B 2C 2

D 12

22 Which of the following is the shortest?

A 150 cm

B 1 m 50 cm

C 1.05 mD 1500 mm

23 In the diagram 14 JKLPis a square andLMNis a right-angled triangle.

Given that the area of the square JKLP is 25 cm and KLM is a straight line. Find the

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M

N

P

K L

J

12 cm

10 cm

DIAGRAM 14

12


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perimeter in cm of the whole diagram.

A 37

B 45

C 50

D 55

24 A construction worker needs to mix 2 kg of cement and 400 g of sand to 20 make

bricks. What is the total mass of cement and sand, in kilograms needed to make 80

bricks?

A 2.4

B 3.2

C 9.0

D 9.6

25 Diagram 15 is a line graph showing the number of cars sold by a salesman in 6

months.

Determine the mode number of car.

A 4

B 6

C 8

D 12

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50/1 SULIT

July Aug Sept NovOct DecMonth

Numberof cars

2

4

0

8

10

6

12

DIAGRAM 15

13


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26 In diagram 16, J is transformed to positions I, II, and III consecutively.

The correct combinations of the transformations involved are

A Translation reflection rotation

B Translationrotation reflection

C Reflection translation rotation

D Rotation translation rotation

A test took place from 0930 hours to 1045 hours. Chong sat for the test and went out

from the exam hall 25 minutes before the test ended. Find the exact time he went out.

A 10.20 p.m

B 11.10 p.m

C 10.20 a.m

D 11.10 a.m

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27

14

J

I

II

III

DIAGRAM 16


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28 The diagram 17 is drawn on square grid.

Which of the triangle A, B, C and D is congruent with triangle S

29 Table 2 shows the weight of a group of police cadet in a physical fitness test. They

will fail the test if their weight is more than the median weight.

Weight in kg Number of police cadet50 3

54 5

58 3

60 6

64 3

65 1

Determine the number of them who failed the test

A 8

B 10

C 11

D 13

30 Table 3 shows the frequency of scores in a competition.

Score 1 2 3 4 5Frequency 5 3 4 x 4

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50/1 SULIT

TABLE 2

TABLE 3

15

S

A

B

C

D

DIAGRAM 17


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If the mean score is 3. Find the value ofx.

A 5

B 7

C 22

D 31

31 Diagram 18 shows a combination of right-angled trianglePQTand trapezium QRST.

Calculate the area in cm of the whole diagram.

A 50

B 56

C 62

D 66

32 Diagram 19, shows a right prism with uniform cross sectionKLMNP.

GivenRS= ST= 3 cm.

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P

Q

SR

T

16 cm

5 cm 3 cm

DIAGRAM 18

DIAGRAM 19

Q

R

S

T

M

K

L

P

N

6 cm 10 cm

3 cm

5 cm

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Calculate the volume of the whole prism

A 105

B 115C 240

D 300

33 In diagram 20 RST is a semicircle with centre O and OTV is a right-angled triangle.

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R

S

T

V

O

24 cm 25 cm

DIAGRAM 20

17


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Find the perimeter in cm, of the whole diagram.

(use7

22= )

A 77

B 78

C 81

D 85

34 Given the midpoint of straight line KL is )6,4( . If the coordinates of point K is

)8,6( , find the coordinates of pointLA )20,14(B )1,1( C )20,14( D )7,5(

35 Siva does his homework every night at 8.25 p.m and finishes after 1 hour 45 minutes.

Determine the time he finishes his homework.

A 1000 hours

B 1010 hours

C 2110 hours

D 2210 hours

36 In diagram 21 KLMNP is part of a regular polygon

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204

K

L

M

N

P

DIAGRAM 21

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Find the number of sides of the regular polygon.

A 12

B 15

C 16

D 18

37 Diagram 22 is drawn on a square grid with sides of 1 unit. O is the centre of the circle.

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P Q

RS

O

AB

D

C

DIAGRAM 22

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Which of the points A, B, C and D is 3 units from O and 3 units from the line PQ?

38 In the diagram 23 OPQR is a rhombus andPSR is an arc with centre O. Given that QR

= 21 cm and = 60POR

Calculate the perimeter, in cm, of the whole diagram.

( Use7

22= )

A 110

B 152

C 174

D 196

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P Q

RO

21 cm

60

DIAGRAM 23

S

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GivenP: Q = 2 :3

2and Q :R = 6 : 5. Find the ratio ofP: Q :R

A 6 : 4 : 5

B 12 : 4 : 5

C 18 : 6 : 5

D 12 : 6 : 5

40 In diagram 24,EFG is a right-angled triangle and GHJis a sector of circle with centre

G.EGJandFGHare two straight lines.

Calculate the area, in cm, of the whole diagram.

(Use7

22= )

A 32

B 43

C 77

D 109

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50/1 SULIT

E

G

F

H

J

8 cm

14 cm

DIAGRAM 24

39

21


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END OF QUESTION PAPER

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soalan math pmr k1

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