Bahagian A
SULIT10SULIT 1449/2
9SULIT 1449/2
PEPERIKSAAN PERCUBAAN
1449/2
SIJIL PELAJARAN MALAYSIA MATHEMATICS
Kertas 22 jam
Dua jam tiga puluh minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
Untuk Kegunaan Pemeriksa/ Guru
BahagianSoalanMarkah PenuhMarkah Diperoleh
A13
24
34
44
55
64
75
86
96
105
116
B1212
1312
1412
1512
1612
Jumlah
Kertas soalan ini mengandungi 26 halaman bercetak.
MATHEMATICAL FORMULAEThe following formulae may be helpful in
answering the questions. The symbols given are the ones commonly
used.RELATIONS
1
2
3
4A-1 =
EMBED Equation.3 5Distance =
6Midpoint, =
EMBED Equation.3
7Average speed =
8Mean =
9Mean =
10Pythagoras Theorem
11
12
13
14
SHAPES AND SPACE
1Area of trapezium = sum of parallel sides height
2Circumference of circle = (d = 2(r3Area of circle = (r24Curved
surface area of cylinder = 2(rh
5Surface area of sphere = 4(r26Volume of right prism = cross
sectional area length
7Volume of cylinder = (r2h8Volume of cone = (r2h9Volume of
sphere = (r310Volume of right pyramid = base area height
11Sum of interior angles of a polygon =
12
13
14Scale factor, k =
15Area of image =
Section A
[52 marks]
Answer all questions in this section.1The Venn diagram below
shows sets P, Q, and R such that the universal set.On the diagrams
in the answer space, shade (a) the set P ( Q,(b) the set Q ( (R (
P)(.
[3 marks]
Answer :
(a)
(b)
2Using factorisation, solve the following quadratic equation .
[4 marks]Answer :
3 Calculate the value of p and of q that satisfy the following
simultaneous linear equations:
[4 marks]
Answer :
4Diagram 1 shows a right prism with a rectangular base EMFGNH
which lies on a horizontal plane. Isosceles triangle PEF is the
uniform cross section of the prism. M and N are the midpoints of
the side EF and GH respectively.
(a) Name the angle between the line PG and the plane EFGH.
(b) Calculate the angle between the line PG and the plane
EFGH.[4 marks]
Answer :
(a) (b)
5 (a)State whether the following sentence is a statement or
non-statement. Give a reason to your answer.
[2 marks](b)Write down two implications based on the following
compound statement in the answer space.
[2 marks]
(c)Complete the conclusion of the following argument.
Premise 1 : If is an even number, then q is an odd number.
Premise 2 : 8 is an even number.
Conclusion : [1 mark]
Answer :
(a) (b)Implication 1:
.Implication 2:
..(c)Conclusion:.6 Diagram 2 shows a solid right prism.
Trapezium ABCD with an area of 40 cm2 is the uniform cross section
of the prism and BF = 7 cm. A cone with diameter 6 cm and height 5
cm is taken out of the solid.
Using , calculate the volume, in cm3, of the remaining
solid.
[4 marks ]
Answer:
7 Diagram 3 shows a straight line PQ and a straight line RS
drawn on a Cartesian plane. Given that PQ is parallel to RS and ST
is parallel to y-axis.Find(a)the equation of the straight line
ST,(b)the equation of the straight line RS,(c)the intercept of the
straight line RS.
[5 marks]
Answer :
(a)
(b)
(c)8(a)Given that , find the value of h and of k. (b)Hence,
using matrices, find the value of m and of n which satisfy the
simultaneous linear equations below.
[6 marks]
Answer:
(a)
(b)
9Diagram 4 shows a semicircle ORT with centre S. OPQ is a sector
of a circle with centre O.
Diagram 4It is given that PT = TS = 6 cm. Use and give your
answer correct to two decimal places.
Calculate
(a)the perimeter, in cm, of the whole diagram,
(b)the area, in cm2, of the shaded region.
[7 marks]
Answer : (a) (b)
10Diagram 5 shows the distance-time graph of a bus from Sematan
to Kuching passing through Lundu over a period of T minutes.
Graph AB represents the journey from Sematan to Lundu while
graph CD represents the journey from Lundu to Kuching.(a)State the
length of time the bus stops at Lundu,
[1 mark](b)Calculate the speed, in kmh-1, of the bus from
Sematan to Lundu,
[2 marks](c)If the average speed of the whole journey is 90
kmh-1, calculate the value of T in minutes.
[2 marks]
Answer :
(a)
(b)
(c)
11A box contains 3 yellow balls and 2 blue balls. Two balls are
picked from the box at random, one after another, without
replacement.
(a)List the sample space.
(b)Find the probability that(i) both balls picked are
yellow,(ii) the second ball picked is blue.
[5 marks]
Answer:
(a)
(b) (i) (ii) Section B
[48 marks]
Answer any four questions in this section.
12 (a) Complete Table 1 in the answer space for the equation by
writing down the values of y when = -2 and =3.
[2 marks]
(b) For this part of the question, use the graph paper provided
on page 15. Using a scale of 2 cm to 1 unit on the x-axis and 2 cm
to 5 units on the y-axis, draw the graph of for.
[4 marks]
(c) From the graph in 12(b), find
(i) the value of y when x = 2.5,(ii) the values of x when y=
-20. [2 marks]
(d) Draw a suitable straight line on the graph in 12(b) to find
all the values of x which satisfy the equation for. State the
values of x.
[4 marks]
Answer :
(a)
-3-2-101234
-23-1452-16
(b)Refer graph on page 15.(c)
(i)y =
(ii)x =
(d)
x = ,
13Diagram 6 shows four triangles ABC, AFC, FEG and PQG drawn on
a Cartesian plane.
Diagram 6
(a) Transformation R is a clockwise rotation of 90 about the
origin.
Transformation T is a translation.
Find the coordinates of the image of point Q under each of the
following combined transformations:
(i) R,
(ii) RT.
[3 marks]
(b) ACF is the image of ACB under transformation V and EGF is
the image of ACF under transformation W.
Describe in full
(i) Transformations V, (ii) A single transformation which is
equivalent to the combined transformation WV. [5 marks]
(c) QGP is the image of EGF under an Enlargement.
(i) State the scale factor,
(ii) Given that the area of the shaded region EQPF is 56 cm2.
Calculate the area, in cm2, of triangle EGF.
[4 marks]
Answer :
(a)(i)
(ii)
(b) (i) ..
..
(ii)
(c) (i)Scale factor = .
(ii)
14. The data in Table 2 shows thefrequency distributionof the
mass, in kg, of a group of 32 students in a particular class.
Mass (kg)Frequency
35 394
40 446
45 4910
50 547
55 593
60 642
Table 2
(a) Based on the data in Table 2,
(i) state the midpoint of the modal class,(ii) calculate the
estimated mean of themass of the students. [4marks]
(b) Using data in Table 2,complete Table 3 in the answer
space.[2marks]
(c) For this part of the question, use the graph paper provided
on page 20.
Using the scale of 2 cm to 5 kg on thehorizontalaxis and 2 cm to
5 students on theverticalaxis, draw an ogive for the data.
[4marks]
(d) Based on the ogive in 14(c), find the percentage of the
students with weight more than 57 kg.
[2marks]
Answer:
(a) (i)
(ii)
(b)
Mass (kg)FrequencyUpper BoundaryCumulative frequency
35 394
40 446
45 4910
50 547
55 593
60 642
Table 3
(c) Refer graphon page 20.
(d)
15You are not allowed to use graph paper to answer this
question.(a)Diagram 7(i) shows a solid right prism with rectangular
base PQMN on a horizontal table. The surface PSTN is its uniform
cross-section. The rectangle RSTU is an inclined plane. The edges
UM, TN, SP and RQ are vertical edges.
Draw to full scale, the elevation of the solid on a vertical
plane parallel to MN as viewed from X.
[4 marks]
Answer :
(a)
(b)Another solid right prism is joined to the solid in the
Diagram 7 (i) at the vertical plane MNWVU to form a combined solid
as shown in Diagram 7 (ii).
The surface DEFGJ is its uniform cross-section and GFNW is an
inclined plane.
The rectangle DJKL is a horizontal plane and the base EFNPQM is
on a horizontal plane. DE and JG are vertical. JG = KW = 5 cm.
Draw to full scale,
(i) the elevation of the combined solid on a vertical plane
parallel to FP as viewed from Y,
[4 marks]
(ii)the plan of the combined solid.
[4 marks]
Answer :
(b)(i)
(ii)
16. Diagram 8 shows the locations of three points, P, Q and R on
the surface of the earth. N is the North Pole, S is the South Pole
and O is the centre of the earth.PR is a diameter of the earth. The
longitude of R is 65E and the latitude of P is 48S.
Diagram 8
(a)(i) State the latitude of R.(ii) State the location of P.
[4 marks]
(b)V lies 5 820 nautical miles due North of P.Calculate the
latitude of V.
[3 marks]
(c)Calculate the distance, in nautical miles, from P to Q
measured along the common parallel of latitude.
[3 marks]
(d)An aeroplane took off from P and flew due south to Q passing
through South Pole. If the average speed of the aeroplane is 500
knots, calculate the time taken for the whole journey.
[2 marks]
Answer:(a)(i)
(ii).
(b)
(c)
(d)
INFORMATION FOR CANDIDATES1.This question paper consists of two
sections: Section A and Section B.2.Answer all questions in Section
A and four questions from Section B.3.Write your answers in the
spaces provided in the question paper.
4.Show your working. It may help you to get marks.
5.If you wish to change your answer, cross out the answer that
you have done. Then write down the new answer.
6.The diagrams in the questions provided are not drawn to scale
unless stated.
7.The marks allocated for each question and sub-part of a
question are shown in brackets.
8.A list of formulae is provided on page 2 to 3.
9.You may use a non-programmable scientific calculator.
10.Hand in this question paper to the invigilator at the end of
the examination.
S (6, 8)
SULIT
sum of (classmark frequency)
sum of frequencies
sum of data
number of data
distance travelled
time taken
TINGKATAN :
NAMA :
Q
P(2, 9)
EMBED Equation.DSMT4
R
Diagram 2
A
B
F
6
F
Y
X
For
Examiners only
J
V
W
Y
Diagram 7 (ii)
K
L
4 cm
7 cm
6 cm
5 cm
G
F
E
D
3 cm
R
U
Q
T
y
E
C
S
D
G
1.Tulis Nama dan Tingkatan anda dalam petak yang disediakan.
2. Kertas soalan ini adalah dalam bahasa Inggeris sahaja.
3. Calon dibenarkan menjawab keseluruhan atau sebahagian soalan
sama ada dalam bahasa Inggeris atau bahasa Melayu.
4. Calon dikehendaki membaca maklumat di halaman belakang kertas
soalan ini.
H
Diagram 5
For
Examiners only
T
Time (minutes)
M
30
0
120
Distance (km)
S
O
B
x
C
R
A
P
N
For
Examiners only
S
T
For
Examiners only
Q
For
Examiners only
For
Examiners only
For
Examiners only
P
For
Examiners only
Diagram 7(i)
6 cm
5 cm
3 cm
3 cm
R
U
Q
M
T
N
Q
G
C
55
[Lihat sebelah
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P
Q
R
P
Q
END OF QUESTION PAPER
For
Examiners only
B
A
90
45o
R
P
T
Diagram 3
EMBED Equation.DSMT4 if and only if EMBED Equation.DSMT4
7 is a factor of 40
Diagram 1
E
Graph for Question 14
8
6
0
10
4
x
2
-2
0
4
-6
2
6
-4
8
y
Table 1
Graph for Question 12
For
Examiners only
3 cm
P
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