Pmr Trial 2013 Math Qa Terengganu
-
Upload
cheegu-emma -
Category
Documents
-
view
228 -
download
0
Transcript of Pmr Trial 2013 Math Qa Terengganu
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
1/23
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
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
3/23
SET 2 PAPER 1 3 50/1
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
4/23
SET 2 PAPER 1 4 50/1
50/1 [See Next Page4
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
5/23
SET 2 PAPER 1 5 50/1
50/1 [See Next Page5
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
6/23
SET 2 PAPER 1 6 50/1
50/1 [See Next Page6
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
7/23
SET 2 PAPER 1 7 50/1
50/1 [See Next Page7
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
8/23
SET 2 PAPER 1 8 50/1
50/1 [See Next Page8
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
9/23
SET 2 PAPER 1 9 50/1
50/1 [See Next Page9
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
10/23
SET 2 PAPER 2 1 50/2
50/2 [See Next Page1
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
11/23
SET 2 PAPER 2 2 50/2
50/2 [See Next Page2
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
12/23
SET 2 PAPER 2 3 50/2
50/2 [See Next Page3
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
13/23
SET 2 PAPER 2 4 50/2
50/2 [See Next Page4
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.
Find the value of x.
Answer:
For
Examiners
Use
[3 marks]
2
9
3
8
[2 marks]
x
S
P
DIAGRAM3
100o
33Q
R
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
14/23
SET 2 PAPER 2 5 50/2
50/2 [See Next Page5
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]
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
15/23
SET 2 PAPER 2 6 50/2
50/2 [See Next Page6
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
16/23
SET 2 PAPER 2 7 50/2
50/2 [See Next Page7
15 Diagram 5shows a circle with centre O. PORS is a straight line.
Find the value of x.
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
17/23
SET 2 PAPER 2 8 50/2
50/2 [See Next Page8
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
18/23
SET 2 PAPER 2 9 50/2
50/2 [See Next Page9
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
19/23
SET 2 PAPER 2 10 50/2
50/2 [See Next Page10
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
20/23
SET 2 PAPER 1 2 50/1
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
21/23
SET 2 PAPER 2 3 50/2
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
22/23
SET 2 PAPER 2 4 50/2
50/2
No Marking Scheme Marks Notes
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
http://www.chngtuition.blogspot.com
-
7/30/2019 Pmr Trial 2013 Math Qa Terengganu
23/23
SET 2 PAPER 2 5 50/2
No Marking Scheme Marks Notes
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