31
16.
If x varies directly as square root of y and x
= 81 when y = 9, find x when y = 1
.
A.
27
B.
20
C.
2
D.
36.
17.
T varies inversely as the cube of R. When R
= 3, T =
, find T when R = 2.
A.
B.
C.
D.
.
18.
Which of the
following diagrams represents
the solution of the inequalities y
= x
2 and
y
= x
2
4.
19.
Solve the inequality
-
6(x + 3)
= 4(x
2)
A.
x
=
-
1
B.
x
= 2
C.
x
=
-
2
D.
x
=
-
1.
20.
Solve the inequality x
2
+ 2x > 15.
A.
-
5 < x < 3
B.
x <
-
3 or x > 5
C.
x < 3 or x > 5
D.
x > 3 or x <
-
5.
21.
Find the sum of the first 18 terms of the
series 3, 6, 9, …, 36.
A.
513
B.
505
C.
433
D.
635.
22.
The second term of a geometric series is 4
while the fourth term is 16. Find the sum of
the first five term
s.
A.
62
B.
60
C.
54
D.
64.
23.
A binary operation
.
on real numbers is
defined by x
.
y = xy + x + y for two real
numbers x and y, find the value of 3
.
-
.
A.
B.
C.
-
1
D.
2.
24.
If
, fin
d the value of x.
A.
6
B.
-
6
C.
-
12
D.
12.
25.
Evaluate
A.
45
B.
25
C.
15
D.
55.
26.
The inverse of matrix N =
is
A.
B.
C.
D.
.
27.
What is the size of each
interior angle of a
12
-
sided regular polygon.
A.
150
0
B.
120
0
C.
30
0
D.
180
0
.
28.
A circle of perimeter 2cm is opened to form
a square. What is the maximum possible
area of the square.
A.
49cm
2
B.
56cm
2
C.
98cm
2
D.
28cm
2
.
29.
A chord of a cir
cle of radius 7cm is 5cm
from the centre of the circle. What is the
length of the chord.
A.
3
cm
B.
4
cm
C.
6
cm
D.
2
cm
30.
A solid metal cube of side 3cm is placed in a
rectangular tank of dimensi
ons 3, 4 and 5
cm. what volume of water can the tank now
hold.
A.
33cm
3
B.
48cm
3
C.
60cm
3
D.
27cm
3
31.
The perpendicular bisector of a line XY is
the locus of a point
A.
whose distance from Y is always twice
its distance from X
B.
whose distance
from X is always twice
its distance from Y
C.
which moves on the line XY
D.
which is equidistant from the points X
and Y
32.
The midpoint of P(x,y) and Q(8,6) is (5,8).
Find x and y.
A.
(2,8)
B.
(2,10)
C.
(2,12)
D.
(2,6)
33.
Find the equation of a
line perpendicular to
line 2y = 5x + 4 which passes through (4,2)