7
20.
If
dx
dy
= 2x
3 and y = 3 when x = 0, find y in
terms of x.
A. x
2
3x
3
B. 2x
2
3x
C. x
2
3x + 3
D. x
2
3x
21.
A circle with a radius 5cm has its radius
increasing at the rate of 0.2cms
-
1
. What will
be the corresponding increase in
the area.
A.
.
B. 2
.
C. 4
.
D. 5
.
22.
Find the maximum value of y in the
equation y = 1
2x
3x
2
A.
3
4
B.
4
5
C.
4
3
D.
3
5
23.
Find the
range of values of x for which
4
3
3
2
4
2
.
.
.
.
x
x
A. x < 8
B. x >
-
6
C. x < 4
D. x >
-
3
24.
Make r the subject of the formula
r
a
a
r
x
.
.
A.
a
x
a
.
2
B.
a
x
a
.
C.
a
x
a
.
D.
a
x
a
.
2
25.
If
P
=
.
.
.
.
.
.
.
.
.
0
3
1
2
and
I
is a 2 x 2 unit matrix,
evaluate
P
2
2
P +
4
I
A.
.
.
.
.
.
.
.
.
1
0
0
1
B.
.
.
.
.
.
.
.
.
.
1
12
4
9
C.
.
.
.
.
.
.
.
.
1
4
4
1
D.
.
.
.
.
.
.
.
.
.
.
3
0
0
3
26.
If
2 is the solution of the equation
2x + 1
3c = 2c + 3x
7, find the value of c.
A. 2
B. 3 C. 4
D. 1
27.
The inverse of the function f(x) = 3x + 4 is
A.
.
.
3
4
1
.
x
B.
.
.
5
5
1
.
x
C.
.
.
4
3
1
.
x
D.
.
.
4
3
1
.
x
28. Solve for x in the equation
x
3
5x
2
x + 5 = 0
A.
1, 1 or
-
5
B. 1,
-
1 or 5
C. 1, 1or 5
D. 1, 1, or
-
5
29.
If the 9th term of an A.
P. is five times the
5th term, find the relationship between a
and d.
A. 3a + 5d = 0
B. a + 2d = 0
C. 2a + d = 0
D.
a + 3d = 0
30.
The time taken to do a piece of work is
inversely proportional to the number of
men employed. If it takes 45
men to do a
piece of work in 5 days, how long will it take
25 men.
A. 15 days B. 12 days
C. 9 days D. 5 days
31.
The binary operation * is defined on the set
of integers p and q by
p * q = pq + p + q. Find 2 * (3 * 4).
A. 67
B. 19 C. 38
D. 59
32.
If
N
=
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
2
2
5
3
6
4
5
3
, find
.
N
.
.
A. 65
B. 23 C. 17
D. 91
33.
The sum to infinity of the series
...
27
1
9
1
3
1
1
.
.
.
.
is
A.
3
10
B.
3
11
C.
2
3
D.
2
5
34.
Use the graph above to find the values of p
and q if px + qy
.
4
A. p = 2, q =
-
1
B. p =
-
1, q = 2
C. p = 2, q = 1
D. p = 1, q = 2