pmr mat kertas 1 set 11

8/9/2019 Pmr Mat Kertas 1 Set 11

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50/1MathematicsPaper 1July2005

1 1/4 hours

Set 1JABATAN PELAJARAN NEGERI PERAK_______________________PENILAIAN MENENGAH RENDAH 2005

LEARNING TO SCORE

MATHEMATICSPaper 1

1 hour 15 minutes

DO NOT OPEN THIS QUESTION PAPER UNLESS YOU ARE TOLD TO DO SO

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

made. Then blacken the space for your new answer.

6. The diagrams in the questions provided are not drawn to scale unless stated.

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

This question paper consists 20 printed pages.


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Learning To Score 2005 : SET 1

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

RELATIONS

1.

=

m

a

n

a

nm

a

+

2. nmmm aaa=

3. ( ) mnnm aa =

4. Distance = ( ) ( )2122

12 yyxx +

5. Midpoint

( )

++=

2

,

2

, 2121yyxx

yx

6. Average speed =takentime

distance

7. Mean =dataofnumber

dataofsum

8. Pythagoras Theorem222

bac +=

SHAPE AND SPACE

1. Area of rectangle = length width

2. Area of triangle = heightbase2

1

3. Area of parallelogram = base height

4. Area of trapezium = heightsidesparallelofsum2

1

5. Circumference of circle = rd 2=

6. Area of circle = 2r

7. Curved surface area of cylinder = rh2

Unit Kurikulum

Jabatan Pelajaran PerakHALAMAN 2 /20

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8. Surface area of sphere =24 r

9. Volume of right prism = cross sectional area length

10. Volume of cuboid = length heightwidth

11. Volume of cylinder = hr2

12. Volume of cone = hr2

3

1

13. Volume of sphere = 3

3

4r

14. Volume of right pyramid = heightareabase3

1

15. Sum of interior angles of polygon = ( ) o1802 n

16.o360

centreatsubtendedangle

circleofncecircumfere

lengtharc=

17.o360

centreatsubtendedangle

circleofarea

sectorofarea=

18. Scale factor,PA

PAk

'

=

19. Area of image = objectofarea2 k

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Answer all questions.

1 Diagram 1 shows a sequence of numbers. The value of ism

1, 4, 9, 16, m , 36,49

DIAGRAM 1A. 15B. 20C. 25D. 30

2 Diagram 2 shows four number cards, P, Q, R and S.

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DIAGRAM 2

On which cards does the digit 3 have the same value?

A. P and R

B. Q and RC. P and SD. Q and S

3 Find the lowest common multiple ( LCM ) of 16 and 24

A. 44B. 48C. 72D. 80

4 Find the highest common factor ( HCF ) of 15, 24 and 36.

A. 3B. 4C. 5D. 6

100

3

10

31

1000

1035

100

134

R SP Q


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5 Diagram 3 shows a number line.

he value of

8

1

0.5p q

DIAGRAM 3

T qp is

. 0.75

Which of the following fractions has the largest value?

A.

AB. 0.25C. 0.25D. 0.75

6

3

2

B.5

1

4

3C.

16

11D.

7 Ramlah has a rope measuring 3.06 m. She uses 3

1

of the rope to tie a parcel. Then she

to tie one box?

A. 12.2

8 Amin bought a motorcycle for RM 3 500. He sold the motorcycle for RM 2 975.

A. 15

cuts 10 pieces of rope, each of equal length, from the remaining rope to tie 10 boxes.After doing that, she still has 12 cm of rope left.What is the length of the rope, in cm, that is used

B. 15.8C. 19.2D. 20.0

Calculate the percentage loss.

B. 16C. 17D. 18

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9 In Diagram 4, PQRSTU is a hexagon and TUV is a straight line.

The value of is

A. 625

0 In Diagram 5, KL, MN, PQ and RS are straight lines.

Which of the angles A, B, C or D, is equal to angle T ?

DIAGRAM 4

UV

P

S

R

T

Q

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nmlkj ++++

B. 630C. 635D. 640

1

DIAGRAM 5

85

R

L

Q

k l

j m

n

NA

B

C

D

TK

M

P

S


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11 In Diagram 6, QRST is a rectangle and PQR is a straight line. The point U lies on the

line QT such that UT =3

1QT.

DIAGRAM 6Find the length, in m, of RS.

A. 1.2

2 In Diagram 7, PQR is a straight line and PT = PS = PQ.

DIAGRAM 7The value of x is

A. 121

P

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B. 1.8C. 2.4D. 3.6

1

Q

T

U

1.5 mR

0.9 m

S

56

T S

x

Q RP

B. 132C. 136D. 148


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13 Table 1 shows the time allocation for a game.

Game Time AllocationGame 1 45 minutes

Break 15 minutesGame 2

2

11 hours

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TABLE 1

rs must be at the field 15 minutes before game 1 starts. The game ends at

e must the players be at the field in the 24-Hour system?

A. 0330

4 In Diagram 8, PQRS is a rectangle and SNM is an equilateral triangle with a perimeter of

DIAGRAM 8

Find the perimeter, in cm, of the shaded region.

A. 47

All playe6.15 p.m.At what tim

B. 1330C. 1530D. 1815

121 cm. M is the midpoint of SR.

N

P Q

RSM

M8 cm

6 cm

B. 52C. 57D. 62


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5 In Diagram 9, JOMK is a rectangle. L is the midpoint of KM and ON =6

11 OM

Calculate th

B. 200

16 I iagr 0, PQRS is a circle with centre O and POR is a diameter. The arcs QR andRS are of the same lengths.

M 10The value of x is

B. 60

12 cm

J O

N

L

32 cm

DIAGRAM 9

K M

e area, in cm2, of quadrilateral JONL.

A. 188

C. 206D. 208

n D am 1

P O R

S

60O

x o

Q

D AIAGR

A. 45

C. 75D. 90

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17 In Diagram 11, PQRS is a cyclic quadrilateral and O is the centre of the circle.

Q

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The value of x + y is

. 45

C. 75

18 gram shows a combined solid of a cylinder and a cone. The height of the cone ise.

Calculate the volume, in cm , of the solid.

. 144

. 268

A

B. 60

D. 90

Dia 126 cm and equals the radius of the con

3

A

B. 208C

D. 288

6 cm

P

RS

O

80

50 60

x

y

DIAGRAM 11

DIAGRAM 12


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19 Diagram 13 shows a circle with centre O.

The length of the minor of arc MN is3

140 cm and the radius of the circle is 14 cm.

Calculate the value of x .

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( Use7

A. 160

22= )

B. 165C. 185

20 centre of circle PQR and P is the centre of circle STR.is meter.

Given that POR = 14 cm, calculate the perimeter, in cm, of the shaded region.( Use

D. 195

In Diagram 14, O is thePOR a dia

P R

Q

OS

T

M

N

Ox

DIAGRAM 13

DIAGRAM 14

7A. 112

22= )

120132

B.C.D. 140


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21 s of three identical spheres with centres S, T and Uarranged so that they touch each other. Triangle STU is formed by joining all the centresof the spheres.

Given that the volume of each sphere is 36

Diagram 15 shows the cross section

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DIAGRAM 15

cm, calculate the perimeter of triangle

STU, in cm.

C. 18

22 i m 16, OPQR is the image of OPQR under an enlargement.

A. 3B. 9

D. 54

In D agra

DIAGRAM 16

S T

U

R

Which of po A, B, C or D is the image of X under the same enlargement ?the ints

RO

P Q

P Q

X

BD

A

C


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23 Diagram 17 shows an object, I, and its image, II, under an enlargement.

If the area of Iis 3 cm, what is the IIin cm 2 ?

24 g 8 is a Cartesian plane. Triangle LMN is the image of triangle LMN under acertain enlargement.

The coordinate f

A. (3, 4)

. (7, 6)

I

2 cm

II

6 cm

DIAGRAM 17

area of

A. 9B. 18C. 27D. 81

Dia ram 1

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2 6 8 10

1

8

6

2

M

N

M

N

L

y

12

DIAGRAM 18

s o L are

B. (5, 4)

CD. (7, 8)

0 4x

0

4


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25 Diagram 19 shows six points marked on a grid of equal squares.

X

D

B

C

Y

A

Which of the or when joined to points X and Y will form a right-angleduse?

2

Which ssible net of the prism ?

B D

DIAGRAM 19

points A, B, C D,triangle with XY as hypoten

6 Diagram 20 shows a pentagonal prism.

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DIAGRAM 20

of the following is a po

A C


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2 In Diagram 21, PCRis a straight line. TACand TVCare arcs of circles with centres Pand Srespectively while SWCand SXCare arcs of circles with centres Rand Trespectively.

DIAGRAM 21

Which of the points A, B, C or D is equidistant from Tand Sand 6 cm from R?

28I 3x 9

II 2x 3 > 3

A. I oB. I a

. I and IIIII

29 ofit made by LAK Company was RM 1 440 000. The profit was dividedamong Liana, Aisyah and Shalini in the ratio 3 : 5 : 4.Calculate the profit received by Aisyah.

C RM 600 000

7

C

A

B

D

ST

V

W

X

6 cm

P R

Which of the following inequalities have integer solutions 3, 4, 5,. ?

III x + 6 > 8

nlynd II

CD. II and I

In 2002, the pr

A RM 60 000B RM 66 000

D RM 660 000

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30 In Diagram 22, each triangle represents one student. Each student is interested only inone of the following subjects ; Mathematics (M), Science (S), Geography and History.Students interested in Mathematics and Science are shown in the diagram.

The number of students thoseinterested in History. C ents who are interested in History.

. 12

31 g 23 shows a semicircle which is divided into three sectors.

The ratio of the three angles,

M

MM M M

M MM

M

M MM

S S

S

S

S

S

S

MSM

DIAGRAM 22

who are interested in Geography is twice that ofalculate the number of stud

A. 6B. 9CD. 18

Dia ram

S V

TU

O

DIAGRAM 23

SOT, TOU and UOV is 3 : 6 : 1. The difference insize between t st angle is

. 90

he largest angle and the smalleA. 20B. 60

CD. 100

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32 Table 2 shows the number of books borrowed by a class in four consecutive months.The data is represented in a pie chart in Diagram 24.

TABLE 2For which month in the di

A. Ja

. March

33 h ht 800 g of peanuts. Irman bought thrice the mass of peanuts that Kumarg y bought 4.2 kg of peanuts altogether. Calculate the mass of peanuts in

grams that Irman bought.

C. 2550

34 le ws the registration fees for an examination.

Basic fee RM150

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DIAGRAM 24agram is the angle of sector wrongly labelled ?

nuaryB. FebruaryCD. April

Mic eal bougbou ht. The

A. 850B. 1700

D. 2770

Tab 3 sho

Fee per writtenRM 35

paperFee per oralassessment

RM 40

Fee per practicalRM 38

assessment

ABLE 3

Mimi registers for 8 written papers, 3 oral assessments and 3 practical assessmentswhereas Roger registers for 7 written papers, 2 oral assessments and 3 practical

assessments.

. RM 120

T

The difference in the total registration fee paid by Mimi and Roger is

A. RM 75B. RM 95CD. RM 150

Month Number of booksJanuary 45February 49

March 52April 54

January81

February88.2

April

97.2

100rchMa


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35 ution of the number of children the employees of aa ny have.

Table 4 shows the frequency distribcert in compa

Number of children 0 1 2 3 4 5 6 7Frequency 2 12 18 8 5 3 3 0

TABL

The median number of children is

. 1

. 2

36 g 25 shows the distances between three train stations, P, Q and R. A traine rom P to Q at an average speed of 45 km/h.

is 75 km/h, calculate its average speed from Qto R.

. 160

7 Diagram 26 shows a set of numbers.

442, 652, 552, 804.

Given the mean is 593, find the value of p.

A. 2

. 6

E 4

AB. 1.5CD. 2.5

Dia ramtrav lled f

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DIAGRAM 25

Given that its average speed from P to R

A. 90B. 112.5C

D. 200

3

692, 408, p+

P Q30 km 120 km R

DIAGRAM 26

B. 4CD. 8


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40 gr shows three points on the Cartesian plane.

The three points lie on a line with equation

y = x 1

C. y = 2x 1

END OF QUESTION PAPER

y

Dia am 29

x

2

-

--2 -1 321

1

3

0

2

1

DIAGRAM 29

A.B. y = x 1

D. y = 2x 1

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pmr mat kertas 1 set 11

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