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• 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

[Lihat sebelah

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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50/1 SULIT

2

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SULIT 50/1

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

[Lihat sebelah

50/1 SULITS

3

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SULIT 50/1

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

[Lihat sebelah

50/1 SULIT

11

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

DIAGRAM 1

TABLE 1

4

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SULIT 50/1

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

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( ++

[Lihat sebelah

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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SULIT 50/1

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

[Lihat sebelah

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.

[Lihat sebelah

50/1 SULIT

P S

Q R

T

24 y

DIAGRAM 4

P

JK

L

Q

RO

DIAGRAM 5

7

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SULIT 50/1

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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50/1 SULIT

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.

[Lihat sebelah

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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SULIT 50/1

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.

[Lihat sebelah

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.

[Lihat sebelah

50/1 SULIT

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

[Lihat sebelah

50/1 SULIT

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

[Lihat sebelah

50/1 SULIT

July Aug Sept NovOct DecMonth

Numberof cars

2

4

0

8

10

6

12

DIAGRAM 15

13

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SULIT 50/1

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

The