F.2 Mathematics Trial Common Test
2005 – 2006 Second Term
Marymount Secondary School
Second Term Trial Common Test 2005 - 2006
Mathematics Paper
Form 2
Date of Exam. : --Time Allowed : 50 minutes
Total Marks : 60 marks
Instructions
1.
Attempt ALL questions.
2.
Unless otherwise specified, all working must be clearly shown and reasons must be
stated.
3.
4.
Unless otherwise specified, numerical answers should either be exact or correct to 3
significant figures.
The diagrams in this paper are not necessary drawn to scale.
Section A Multiple Choice Questions (20 marks)
1.
2.
If ABC is equilateral, which of the following is NOT always true?
A.
All its sides are equal.
B.
C.
D.
Each of its interior angle is 60.
It is an isosceles triangle.
It is a right-angled triangle.
In the figure, XY = XZ = 2 cm and XYZ = 55, then YXZ =
Y
A.
B.
C.
D.
55
62.5
65
70
05 – 06 F.2 MATH CT 2A – 1
55
2 cm
X
2 cm
Z
F.2 Mathematics Trial Common Test
2005 – 2006 Second Term
3.
If AB  CD, which of the following is NOT always true?
A.
B.
C.
D.
b
d
b
a


+
+
E
h
e
e = 180
h = 180
c
d
A
B
b
a
e
f
C
D
h
g
F
4.
In the figure, APB and CRD are two parallel lines.
P
A
Q
Find APQ.
75
B
105
5.
A.
B.
30
35
C.
D.
40
45
65
C
D
R
In the figure, which of the following is true?
d
c
6.
A.
a+b=d+e
B.
C.
D.
b + d + e = 180
a + b + d + e = 180
a + b + c + d + e = 360
b
e
a
In the figure, ABCDE is a pentagon. BA and DE
are produced to meet at F. Find x and y.
A.
B.
C.
D.
x
x
x
x
=
=
=
=
105,
105,
108,
108,
05 – 06 F.2 MATH CT 2A – 2
y
y
y
y
=
=
=
=
123
108
123
110
B
102
C
A
x
30
x
y
x
E
D
F
F.2 Mathematics Trial Common Test
2005 – 2006 Second Term
7.
The perimeter of the figure is
A.
B.
C.
D.
8.
9.
In the diagram WXYZ is a square. If diagonal WY
is 4 cm, then the area of the shaded part, in cm2, is
A.
16 – 8
B.
C.
D.
16 – 32
4 – 4
4 – 8
In the figure, an arc of a circle of radius 24 cm and subtending an angle 135 at its
centre is bent to form a circle of radius r cm. Then the diameter of the circle is
A.
B.
C.
D.
10.
4.5
8
9
12
4.5 cm
9 cm
12 cm
18 cm
135
24 cm
r cm
In the diagram, two concentric circles are shown. The radii of the outer circle and
inner circle are R and r respectively. If the shaded area is equal to the unshaded area,
then R : r is
A.
B.
C.
D.
2 :1
2:1
4:1
Cannot be determined
05 – 06 F.2 MATH CT 2A – 3
F.2 Mathematics Trial Common Test
2005 – 2006 Second Term
Section B Conventional Questions (40 marks)
11.
a.
b.
Find  in the figure.
Find the area of the sector OAB
(2 marks)
(2 marks)
B
4 cm
(Leave your answer in terms of .)
O
12.
In the figure, the sector OWZ is the stage in a concert,
and WXYZ is the audience area. If the angle of the
sector is 130 and arc WZ = 20 m, find
a.
b.
the length of OX.
the area WXYZ.
(3 marks)
(3 marks)
(Leave your answer in terms of .)
13.
14.
In the figure, AB = BC = CA = CD.
a.
Find CDA.
(1 mark)
b.
Find BCD.
(3 marks)
c.
Find CBD.
(2 marks)
In rectangle ABCD, AC = BD and they bisect
each other at O. AOB = 120. Prove that AC =
2BC.
(6 marks)
05 – 06 F.2 MATH CT 2A – 4

4 cm
A
F.2 Mathematics Trial Common Test
2005 – 2006 Second Term
15.
The diagram on the left is the top view of the ring component shown on the right. The
two concentric circles are having radii of R cm and r cm respectively and R : r = 3 : 2.
The height of the component is 5 cm. Part of the ring is cut and the angle at centre is
a.
a.
Find the volume of the component in terms of r, a and π.
(4 marks)
b.
Find the total surface area of the component in terms of r, a and π.
(5 marks)
c.
The component is made of plastic. A number of tiny plastic cubes are melted
and cast into the required shape. If each side of a cube is 3 mm and 100000
plastic cubes are used, what is the value of R and r if a = 60°.
(5 marks)
d.
The component is then gold-plated. If the thickness of the gold foil is 0.01 mm
and the cost of gold is $1000 / cm3, what is the cost of gold used? (4 marks)
- End of Paper -
05 – 06 F.2 MATH CT 2A – 5