February 13, 2022
1.
Simplify
(27/9) -0.5 (a)2/5 (b) ½
(c) 3/5 (d)12/3
2.
Simplify
36 ½ x 64 1/3 x 50 (a) 0 (b) 1/24
(c) 2/3 (d)1½
3.
Express
the product of 0.09 and 0.06 in standard form. (a) 5.4 x 10-3 (b)
5.4 x 10-2 (c)5.4 x 10-1 (d) 5.4 x 102
4.
Evaluate
4610eight - 2675eight (a) 1718eight (b) 1731eight (c)
1735eight (d)1935eight
5.
Simplify
9- ½ (a) 1 (b)
1/3 (c) 1/9 (d) 1/27
27 2/3
6.
The
shorter hand of a clock points to 9. What number did it point to 30 hours ago?
(a)2 (b) 3 (c) 4 (d) 5
7.
The
present ages of a mother and her daughter are in ration 11:3 and the daughter’s
age is 9. What will be the ratio of the mother to that of her daughter in 5
years time? (a) 16:9 (b) 2:1 (c)
33:14 (d) 19:7
8.
If U =
(x:2 < x < 12, x is an integer), then the
members of U are: (a) 2, 4, 6, 8,10,12) (b) 1,3, 5, 7, 9, 11, 13 (c) 1, 2,
5, 7, 9, 11, 13 (d) 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
9.
In
class of 80 students, every student has to offer Economics and 50 offered
Geography, how many students offered both subjects? (a)15 (b) 30 (c) 35 (d) 45
10.
If x =
(all perfect squares less than 25} and Y = (all odd numbers from 1 to 10) find
X Ω Y. (a)(1,4,9,16,25) (b) (1,3,4,5,7,9,16,25) (c) (1,3,5,7,9) (d) (1,9)
11. Find the value of r if 5( r -3) = 20
a.
1
b.
4
c.
7
d.
12
12. Add 54eight and 67eight
giving the answer in base eight
a.
111eight
b.
121eight
c.
133eight
d.
143eight
13. 
What is the value of 9 x 3 (mod 4)?
a.
0
b.
1
c.
2
d.
3
14. Which one of the following is the logarithm
of 8.2?
a.
0.3010
b.
0.9138
c.
8.3010
d.
8.9138
15. Simplify (
) x 1
a.
b.
c.
d.
16. If 5p-3 = 8 x 5-2,
find the value of p.
a.
8/125
b.
2/5
c.
5/2
d.
8/5
17. A hall contains 175 people. 12% of them are
children and there are 56 men. How many women are in the hall?
a.
56
b.
68
c.
77
d.
98
18. What fraction of the square in the diagram
below is shaded?
a.
b.
c.
d.
19. 
Obtain the value of X
Y
a.
{a, d}
b.
{e, f}
c.
{b, c}
d.
{a, b,
c, d}
20. X
Y =
a.
a
b.
{ }
c.
{B, c}
d.
{a, b,
c, d, e, f}
21. A set with no element is called
a.
Null
set
b.
Single
c.
Singleton
d.
Unitary
set
22. Given that a = 
and b =-6 ,evaluate ab
- 
a.
0
b.
5
c.
8
d.
9
23. If M = 3145 and N = 245.
Calculate M – N
a.
240
b.
314
c.
343
d.
14201
24. The bicimal 1.101 in decimal is
a.
9.5
b.
1.625
c.
2.375
360
d.
3.215
25. Calculate the size of the angle marked x
in the diagram below
a.
1080
b.
1170
c.
1260
d.
1440
26. Which of the following quadrilaterals has/
have diagonal intersecting at right angles?
I. Square II. Rhombus III. Rectangle.
a.
|
b.
I only
c.
I and III
only
d.
II only
27. The total surface area of a cone, S cm2, is given by S=πr2
+ πrl, where rcm is the base radius and l cm is the slant height. Find S when r =5, l = 9 and π= 
a.
44
b.
70
c.
d.
220
28. (a - 3) is one of the factors of a2
+ 14a – 51. What is the other factor?
a.
(a -
11)
b.
(a +
17)
c.
(a -
17)
d.
(a +
48)
29. What is n(A) if A = {x: 2 < x <
9, X 
Z}
a.
2
b.
6
c.
7
d.
8
30. How
many sides has a regular polygon with interior angles of 1650?
a.
14
b.
15
c.
20
d.
42
31. Find
the value of 2x – y if x + y =8 and 4x – y = 22.
a.
2
b.
4
c.
8
d.
10
32. Simplify 
+ 
- 
a.
2x + 1
b.
12x +1
c.
d.
33. Simplify 
x 
a.
1
b.
2
c.
10
d.
20
34. Y varies inversely as the positive square
root of x. If y = 8 when x = 9, find y when x = 4
a.
6
b.
12
c.
18
d.
36
35. Make u
the subject of the formula M= m(
v - u). u = …
a.
mv - M
b.
c.
d.
36. Make p the subject of the relation: q = 
+ 
a.
P = 
b.
P =
2qr – sr - 3
c.
P = 
d.
P = 
37. If x2 = 81½, x =
a.
3
b.
9
c.
19
d.
27
38. From
the top of a building 10m high the angle of depression of a stone lying on the
horizontal ground is 690. Calculate the distance of the stone from
the top of the building in metres to 1 d.p.
a.
3.6m
b.
3.8m
c.
6.0m
d.
9.3m
39. The 18classes of a school contain either
29, 30 or 31 students as in the table below.
|
No. of
students |
29 |
30 |
31 |
|
No. of
classes |
3 |
5 |
10 |
How many students are in the school?
a.
90
b.
180
c.
540
d.
547
40. A sack of grain can feed 80 chickens for 18
days. How many days will it last 120 chickens?
a.
9
b.
12
c.
13
d.
22
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