2
B.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
2
10
14
12
2
10
2
4
6
C.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
5
14
6
0
10
8
4
6
D.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
5
7
6
0
5
8
4
6
13.
Given the matrix K =
,
4
3
1
2
.
.
.
.
.
.
.
.
the matrix K
2
+ K + I where I is the 2 x 2 identity matrix, is
A.
.
.
.
.
.
.
.
.
21
12
2
7
B.
.
.
.
.
.
.
.
.
20
13
3
6
C.
.
.
.
.
.
.
.
.
23
22
8
9
D.
.
.
.
.
.
.
.
.
24
21
7
10
14.
If two graphs y = px
2
+ q and
y = 2x
2
1 intersect at x = 2, find the value
of p in terms of q.
A.
8
7
.
2
8
.
4
7
.
7
8
q
D
q
C
q
B
q
.
.
.
.
15.
Find the integral values of x and y satisfying
the inequality 3y + 5x
.
15, given that y
.
0,
y
.
3 and x
.
0.
A. (1, 1), (1, 2), (1, 3)
B. (1, 1), (2, 1), (1, 3)
C. (1, 1), (3, 1), (2, 2)
D. (1, 1), (1, 2), (2, 1)
16.
Evaluate
.
1
2
1
1
1
3
1
1
1
.
.
.
.
A.
12 B.
4 C. 4 D.
2
17.
Solve the equations m
2
+ n
2
= 29;
m + n = 7.
A. (2, 3) and (3, 5) B. (2, 5) and (5, 2)
C. (5, 2) and (5, 3) D. (5, 3) and (3, 5)
18.
An operation * is defined on the set of real
numbers by a * b = a + b + 1. If the identity
element is
1, find the inverse of the
element 2 under *.
A. 4 B. 0 C.
2 D.
4
19.
The sixth term of an arithmetical
progression is half of its
twelfth term. The
first term is equal to
A. zero
B. half of the common difference
C. double the common difference
D. the common difference.
20.
Factorize 4x
2
9y
2
+ 20x + 25
A.
(2x
3y + 5)(2x
3y
5)
B.
(2x
3y)(2x + 3y)
C.
(2x
3y + 5)(2x + 3y
+ 5)
D.
(2x + 5)(2x
9y + 5)
21.
A sector of a circle of radius 7.2cm which
subtends an angle of 300
0
at the center is
used to form a cone. What is the radius of
the base of the cone.
A. 8cm B. 6cm C. 9cm D. 7cm.
22.
A point P moves such that it
is equidistant
from points Q and R. Find /QR/ when /PR/
= 8cm and <PRQ = 30
0
.
A.
4
cm
D
cm
C
cm
B
cm
4
.
3
8
.
8
.
3
23.
.
.
3t
t
t
Find the value of
.
in the diagram above.
A. 100
0
B. 120
0
C. 30
0
D. 60
0
24.
A
straight line makes an angle of 30
0
with
the positive x
-
axis and cuts the y
-
axis at y
= 5. Find the equation of the straight line.
A. y =
5
10
1
.
x
B. y = x + 5
C.
3
5
3
.
.
.
x
y
D.
3
5
3
.
.
x
y