24
19.
Find to infinity, the sum of the sequence
A. 10 B. 9 C.
D.
20.
If
for any real
numbers
find the value of
3
(
-
5).
A.
-
6 B.
-
8 C.
-
10 D.
-
12
21.
A binary operation
defined on the set of
integers is such tha
t
m
n = m + n + mn for all integers m and
n. find the inverse of
-
5 under this
operation, if the identity element is 0.
A.
B.
C. 0 D. 5
22.
If
, then
is
A.
–
50 B.
-
22 C. 22
D. 50
23.
If
evaluate x if
A.
-
5 B.
-
2 C. 2 D. 5
24.
Find the acute angle between the straight
lines
A. 15
o
B. 30
o
C. 45
o
D. 60
o
.
25.
A regular polygon has 150
o
as the size of
each interior angle. How many sides does it
have.
A. 12 B. 10 C. 9 D. 8
26.
>
>
X
Y
T
S
Z
47
o
34
o
n
In the figure above, TS//XY and XY = TY,
STZ = 34
0
,
TXY = 47
0
, find the angle
marked
.
A.
47
0
B. 52
0
C.
56
0
D. 99
0
27.
If the hypotenuse of a right
-
angled isosceles
triangle is 2cm, what is the area of the
triangle..
A.
B. 1
C.
D.
28.
A chord is drawn 5cm away from the centre
of a circle of
radius 13cm. calculate the
length of the chord.
A. 7cm B. 9cm C. 12cm D. 24cm
29.
Find the radius of a sphere whose surface
area is 154cm
2
.
A. 7.00cm
B. 3.50cm
C. 3.00cm
D. 1.75cm
[
.
=
].
30.
Find the locus of a p
article which moves in
the first quadrant so that it is equidistant
from the lines x = 0 and y = 0 (where k is a
constant).
A.
x + y = 0
B. x
–
y = 0
C.
x + y + k = 0
D. x
–
y
–
k = 0
31.
What is the locus of the mid
-
point of all
chords of
length 6cm with a circle of radius
5cm and with centre O.
A.
A circle of radius 4cm and with centre
O.
B.
The perpendicular bisector of the
chords.
C.
A straight line passing through centre O.
D.
A circle of radius 6cm and with centre
O.
32.
What is th
e value of p if the gradient of the
line joining (
-
1, p) and (p, 4) is
.
A.
-
2 B.
-
1 C. 1 D. 2
33.
What is the value of r if the distance
between the points (4, 2) and (1, r) is 3
units.
A.
1 B. 2 C. 3 D. 4
34.
Find the valu
e of sin 45
0
–
cos 30
0
.
A.
B.
C.
D.
35.
A cliff on the bank of a river is 300 metres
high. If the angle of depression of a point on
the opposite side of the river is 60
o
, find the
width of the river.
A.
B.
C.
D.
36.
If
A.
B.
C.
D.
37.
If