Pmr Trial 2013 Math Qa Terengganu

7/30/2019 Pmr Trial 2013 Math Qa Terengganu

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SET 1 PAPER 1 1 50/1

50/1 1

JABATAN PELAJARAN NEGERI TERENGGANU

SET 2 PAPER 1

INFORMATION FOR CANDIDATES

1. This question paper consists of 40 questions.2. Answerallquestions.3. The diagram in the question provided are not drawn to scale unless stated.4. A list of formulae is provided5. You may use a non-programmable scientific calculator.

MATHEMATICS

(1 hour 15 minutes)

http://www.chngtuition.blogspot.com


2/23

2

SHAPE AND

1. ma x na = nma

2. ma na = nma

3.nma )( = mna

4. Distance =2

21

2

21 )()( yyxx

5. Midpoint

(x,y) =

2

,2

2121 yyxx

1. Area of rectangle = length x width

2. Area of triangle =2

1x base x height

3. Area of parallelogram = base x height

4. Area of trapezium

=2

1x (sum of parallel sides) x height

5. Circumference of circle = d = 2 r

6. Area of circle =2r

7. Curved surface area of cylinder

= 2 hr

8. Surface area of sphere =24 r

9. Volume of right prism= cross sectional area x length

10. Volume of cuboid

= length x width x height

6. Average speed =takentime

travelleddistance

7. Mean =dataofnumber

dataofsum

8. Pythagoras Theorem222 bac

11. Volume of cylinder = hr2

12. Volume of cone =3

1hr2

13. Volume of sphere = hr2

3

4

14. Volume of pyramid

=3

1x base area x height

15. Sum of interior angles of polygon

= 1802 n

16.circleofncecircumfere

lengtharc=

0360

centreatsubtendedangle

17.circleofarea

sectorofarea=

0360

centreatsubtendedangle

18. Scale factor, k =PA

AP''

19. Area of image =2

k x area of object

MATHEMATICS FORMULAE

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

ones commonly used.

RELATIONS



3/23


50/1 [See Next Page3

1 Which of the number below,

when rounded off to the nearest

thousands, will be 457000?

A 455640

B 456430C 456530

D 457530

2 Diagram 1shows a number line.

The value ofyx is

A -8

B -4

C 4

D 8

3 Diagram 2 , PQ and RS are

straight lines.

The value of x is

A 20

B 40

C 80

D 100

4 Diagram 3 , KLM and TLS are

straight lines.

The value of x is

A 30

B 40C 70

D 80

5 5p2q(p + 3q) =

A 4p + q

B 4p-5q

C 6p + q

D 6p5q

6 18 + 2p2 =

A 2(9 + p2)

B 2(3 + p)(3 + p)

C 2(3 + p)(3p)

D 2(3p)(3p)

7nn

592 =

A3

259

n

n

B2

59

n

n

C2

59

n

n

D3

59

n

n

800P Q

R

xo

S

DIAGRAM 2

yo

4yo

DIAGRAM 3

1500

L

S

Mx

o

K

700

T

DIAGRAM 1

-6 x -2 2 y



4/23



8 Q is the midpoint of the straight

line PR. P is (-10, 7) and Q is

(-3,2). Find the coordinates of R.

A

2

1

2,2

1

3

B 3,4

C

2

14,

2

16

D 5,7

9 Evaluate 84

37

A6

5

B3

1

C3

1

D6

5

10 In an experiment, the initial

temperature of a material P is

270C. It is heated at 2.50C a

minute for 4 minutes.

The final temperature, in 0C, of

material P is

A 37

B 27

C 17

D 16

11 Given that 56.2 = 1.60 and

6.25 = 5.06, find the value of

25600256.0

A 16.66

B 21.06

C 50.76

D 52.20

12 Table 1 shows the frequency

distributions of scores obtained

by a group of pupils in a game.

Find the number of pupils who

obtained less than 3 scores.

A 1

B 4

C 11

D 16

13 The line graph shows the sale ofcomputers in a company.

How many computers were sold

in 5 months?

A 180

B 175

C 170D 160

14 Amalina is 15 years 4 months

old. Her sister is 30 months older

than her. What is her sistersage?

A 17 years 4 months.

B 17 years 10 months.

C 18 years 10 months.D 19 years 4 months.

Jan Feb Mach Apr May

Months

NumberofComputers

10

20

30

40

50

60

Score 1 2 3 4 5

Frequency 3 1 7 5 4

TABLE 1



5/23



15 Which of the following figures

does not have a line of

symmetry?

A

B

C

D

16 Diagram 4, PQRSTU is a

hexagon.

The value ofz is

A 40

B 50

C 70

D 80

17 Diagram 5, J, K, L and M are

vertices of a regular polygon.

The step taken to find out the

number of sides of a regular

polygon is

A30

360

B3

300

C30

180

D30

150

18 Diagram 6, KLMNPQ is a

regular hexagon and QNR is a

straight line.

The value ofx is

A 30

B 100

C 120

D 150

150

K

J

LM

N

DIAGRAM 5

N

L

M

xo

K

P

Q

R

DIAGRAM 6

2400

3z 2z

z

DIAGRAM 4

P

Q

R S

TU



6/23



19 Find the highest common factor

(HCF) of 12,18 and 24

A 6

B 4

C 3D 2

20 Diagram 7shows a square

PQRS and a circle.

The circumference of the circle is

touches the square PQRS.

Calculate the area, in cm, of the

shaded region. (Use =7

22)

A 10.5

B 22.5C 27.5

D 38.5

21 Diagram 8, PQRS is a circle

with centre O. POR is the

diameter and PQ = PS.

The value of x is

A 18

B 36

C 54

D 72

22 Diagram 9shows a circle with

centre O. QRS is a straight line.

The value of x is

A 25B 40

C 50

D 65

23 Given thatx

5+

10

3= 0.305,

find the value of x.

A 10B 100

C 1000

D 10000

24 Evaluate 23 42

A 1

B3

4

C 2

D3

8

P

S

Q

R

7 cm

DIAGRAM 7

P

x Q O R S

130

DIAGRAM 9

S

Px

Q

36 R

DIAGRAM 8

O



7/23



25

6

51

6

51

A 11

B 6

C6

11

D6

1

26 Diagram 10, T is the midpoint of

straight line PTS.

Calculate in cm, the area of the

shaded region.

A 56

B 66

C 132

D 146

27 Simplify -3x ( 2x5y)

A -6x2

+ 15xy

B -6x

2

15xyC -6x8xy

D -68xy

28 0132 nmmn

A 2m

B 4m

C 62nm

D64

nm

29 If (x3) is the highest common

factor of 20 and 36, the value of

x is

A 7

B 6C 5

D 4

30 13, 17, x, 23, y, 31 is a number

sequence of prime numbers. The

value of x + y is

A 44

B 46

C 48D 50

31 Diagram 11shows a cuboid.

Calculate in cm, the total

surface area of the cuboid.

A 192

B 152

C 112

D 96

32 Solve the equation kk 54

812

A13

3

B7

3

C17

12

D 1

P

RS

T

7 cm

8 cm 10 cm

DIAGRAM 10 2 cm

8 cm6 cm

DIAGRAM 11



8/23



33 The mean mass of 7 students is

49 kg. A new student is added to

the group. The new mean

mass is 51 kg. What is mass

of the new student?

A 14 kg

B 35 kg

C 65 kg

D 73 kg

34 The table below shows the

frequency distribution of grades

obtained by 120 students. The

data is presented in the following

pie chart.

Which sector is correctly

labelled ?

35 Sudin bought a book for

RM12.50. He sold the book for

RM 15.25. Calculate the profit

percentage.

A 2.20

B 2.75

C 18

D 22

36 A sum of RM 600 is shared

among Azmi , Bala and Chong in

the ratio of P : 5 : 7. Given that

Azmis share is RM120, the

value of P is

A 2

B 3

C 4

D 5

37 In Diagram 12, KL and MN are

straight line intersecting at P.

Find the value of x.

A 35

B 40

C 55

D 60

38 Given

(3x - 4)(2x + 5) = 6x2 + kx - 20,

Find the value of k.

A -23

B -7

C 7

D 23

Grade A B C D

Frequency 20 50 45 5

100135

70

20A

C

B

D

DIAGRAM 12

350

N

L

M

xo

KP



9/23



39 The line graph shows the English

marks obtained by Siti for the first

six months.

What is the mode?

A 50

B 60

C 70

D 75

40 Diagram 13, JKLMN shows a

regular pentagon. JK = 3 cm.

Points P, Q, R,S and T are mid-

points of sides NJ, JK, KL, LM

and MN respectively.

The locus of a point which is

equidistant from NM and ML is

A MR

B MJ

C MQ

D MP

0

Jan

Feb

March

Apr

May

June

Months

40

60

80

70

50

Marks

P

N

J

T M

L

R

S

Q

K

DIAGRAM 13

End of Question Paper



10/23



Answerall questions.

1 Calculate the value of 4

1

15

3

3

1

2

and express the answer as a

fraction in its lowest term.

Answer:

2 Calculate the value of 3

116.125.2 and express the answer

as a decimal.

Answer:

3 Evaluate

(a) 23 364

(b) 31249

Answer:

(a)

(b)

For

Examiners

Use

[3 marks]

[3 marks]

[3 marks]

3

1

3

2

3

3



11/23



4 A baker needs to mix 2 kg of flour and 400g of sugar to make

20 cakes. What is the total mass of flour and sugar, in kilograms,

needed to make 80 cakes?

Answer:

5 Diagram 1, PQRST is a pentagon,

Find the value ofx.

Answer:

For

Examiners

Use[2 marks]

[3 marks]

DIAGRAM 1

162o

R

Q

S

xo

P

T

xo

2xo

58o

2

4

3

5



12/23



6 Diagram 2shows P, Q and R on a Cartesian plane.

P, Q and R are the vertices of a rectangle PQRS.

(a) State and label the coordinates of S.(b) Find the coordinates of midpoint PQ.Answer:

(a)

(b)

7 A machine can produce 180 pens in 4 minutes.

How many pens can be produced in2

1hour?

Answer:

For

Examiners

Use

[3 marks]

[2 marks]

3

6

2

7

P Q4

y

x2

-2

-2

2

DIAGRAM 2

4-4

-4

R

0



13/23



8

(a) Express 12 as a percentage of 60,

(b) The original price of a bicycle is RM 250. The bicycle is now sold

at RM 160. Calculate the percentage discount.

Answer:

9 Diagram 3, PQRS is a straight line.


Answer:

For

Examiners

Use

[3 marks]

2

9

3

8

[2 marks]

x

S

P

DIAGRAM3

100o

33Q

R



14/23



10 Simplify 13242 qpqp

Answer:

11 Find the lowest common multiple of 3, 6 and 9.

Answer:

12 Simplify 7x 3( x + 1 ).

Answer:

For

Examiners

Use

[3 marks]

[2 marks]

3

10

2

11

2

12

[2 marks]



15/23



13 Solve 1065

x2

Answer:

14 Diagram 4shows the shape of P drawn on a grid of equal square.

Draw and label the image of P under the translation

4

3.

Answer:

For

Examiners

Use

P

2

13

3

14

[2 marks]

[3 marks]

DIAGRAM 4



16/23



15 Diagram 5shows a circle with centre O. PORS is a straight line.


Answer:

16 Evaluate 235

48

Answer:

For

Examiners

Use

3

15

3

16

[3 marks]

[3 marks]

P

O

R

S

x

Q

1280

DIAGRAM 5



17/23



17 Diagram 6, ABCD is a rectangle and DGHJ is a square.

Find the area ,in cm2, of the shaded region.

Answer:

18 Set square and protractors are not allowed for this question.Diagram 7in the answer space shows a straight line JL.

Using a ruler and a pair of compasses,

construct a triangle JKL such that LJK = 30o and KL = 5 cm

Answer:

For

Examiners

Use

J L

4

17

4

18

[4 marks]

A J D

GH

CFB

E

24 cm

18 cm

[4 marks]

DIAGRAM 6

DIAGRAM 7



18/23



19 Diagram 7in the answer space shows a square PQRS with side 6 cm.

X and Y are the moving points inside the square.

(a) On the diagram draw,

(i) Locus X such that XS = XR

(ii) Locus Y such that 4 cm from Q

(b) Hence, mark with symbol the intersection of the locus Xand the locus Y.

Answer:

For

Examiners

Use

5

19

[5 marks]

P Q

S R

DIAGRAM 7



19/23

SET 2 PAPER 2 10 50/2


20 Table 1shows the number of teachers in three different schools.

School Number of teachers

P 40

Q 20

R 60

(a) Calculate the angle of the sector representing the data for school P,

Q and R.

(b) Construct a pie chart to represent the data.

Answer:

(a)

(b)

For

Examiners

Use

End of Question Paper

5

20

[3 marks]

[2 marks]

TABLE 1



20/23


50/1

JABATAN PELAJARAN TERENGGANU

MARKING SCHEME MATHEMATICS FORM 3

SET 2 PAPER 1

OBJECTIVE ANSWERS

SUBJECT CODE 50

SUBJECT MATHEMATICS

PAPER 1

Question

Num.Answer

Question

Num.Answer

Question

Num.Answer

Question

Num.Answer

1 C 11 C 21 D 31 B

2 D 12 B 22 B 32 B

3 C 13 A 23 C 33 C

4 B 14 B 24 C 34 D

5 D 15 D 25 A 35 D

6 A 16 B 26 B 36 B

7 B 17 A 27 A 37 C

8 B 18 D 28 D 38 C

9 D 19 A 29 A 39 B

10 A 20 A 30 C 40 C



21/23


50/2

JABATAN PELAJARAN TERENGGANU

MARKING SCHEME MATHEMATICS FORM 3

SET 2 PAPER 2

No Marking Scheme Marks Notes

1.

4

5

5

3

3

7

4

5

15

44

3

11@

3

23 @ 3.67

K1

K1

N1 3

2. 2.25 + (-1.2)2.251.21.05

P1K1N1 3

3. a) 5

b) 35 - 125

P1

P1N1 3

.

4.

8020

kg4.0kg2

@ equivalent

9.6 kg

K1

N1 2

5 2x + x + x + 162 + 58 = 540

4x = 320

80

P1

K1

N1 3

6. a) (-4, 1)

b) (0, 3)

K2

N1 3

a) state gives K1label gives K1

b) label at cartesan plane givesN1

730

4

180 or 45 x 30

1350

K1

N1 2



22/23


50/2


8. a) 20

b) 100250

90

36

P1

K1

N1 3

9. 47 P2 2 See 33 in the right place

gives P1.

10. 1384 qpqp 1834 qp 77 qp

K1

K1

N1 3

i) 84 qp

Seen gives P1

ii) 1384 qpqp (K1)77

qp (K1N1)

11. 18 N2 2 List LCM of 3, 6 and 9

Until 18 gives K1

12. 7x 3x3

4x - 3

K1

N1 2

.

13. 2x = 20

10

K1

N1 2

14.

3

i) Correct translation gives

K2

ii) Label gives K1

15. 180 - 128

52 x 2

104

P1

K1

N1 3

76o seen give K1

P

P



23/23



16. 168 53 1632

2

K1

K1

N1 3

17.(24 x 18)( 9 x 9)

912

2

1

4325481

297

K2

K1

N1 4

(24 x 18) or ( 9 x 9) or

912

2

1seen gives K1

18.

Construct LJK = 30o

Draw line JK

KL = 5 cm

Completely

K1

K1

K1

N1 4

19.

Locus X

Locus Y

Mark

P2

P2

P1 5

Without labeling P1P1P1

20. a) school P = 120

o

school Q = 60o

school R = 180o

b)

P1P1

P1

5

b) Construct the sector P and

Q correctly and label gives

P2

Without label gives P1

120o

180o

60o

P

Q

R

Locus X

Locus Y

5 cm

J L

K

Pmr Trial 2013 Math Qa Terengganu

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