Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119
Answer
(B)
125
4
Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4)
Answer
(D)
x > 11
5
Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\)
Answer
(C)
1.1
6
Four boys and ten girls can cut a field first in 5 hours. If the boys work at \(\frac{5}{4}\) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?
Answer
(D)
20
7
What is the circumference of latitude 0\(^o\)S if R is the radius of the earth?
Answer
(B)
2\(\pi\)R cos \(\theta\)
8
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room
Answer
(A)
\(\frac{15}{17}\)
9
The goals scored by 40 football teams from three league divisions are recorded below
No of goals
0
1
2
3
4
5
6
Frequency
4
3
15
16
1
0
1
What is the total number of goals scored by all the teams?
Answer
(C)
91
10
In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12\(^o\). How many students are offering physics?
Answer
(D)
5
11
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5
Answer
(C)
0.6532
12
Simplify \(\frac{324 - 4x^2}{2x + 18}\)
Answer
(D)
-2(x - 9)
13
In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart?
Answer
(D)
157.5\(^o\)
14
The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.
Answer
(D)
29.8cm
15
What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?
Answer
(C)
1
16
A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?
Answer
(D)
\(\frac{7}{12}\)
17
In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS
Answer
(A)
136\(^o\)
18
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
Answer
(C)
-2
19
Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
Answer
(B)
7x + 5y = 70
20
If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x.
Answer
(A)
3
21
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13
Answer
(A)
2
22
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.
Answer
(A)
\(\frac{2}{11}\)
23
The equation of the line in the graph is
Answer
(C)
3y = -4x + 12
24
Express the product of 0.0014 and 0.011 in standard form
Answer
(D)
1.54 x 10\(^{-5}\)
25
A school boy lying on the ground 30m away from the foot of a water tank towel observes that the angle of elevation of the top of the tank is 60\(^o\). Calculate the height of the tank.
Answer
(B)
30\(\sqrt{3m}\)
26
Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years.
Answer
(B)
8%
27
The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary.
Answer
(A)
N2,050
28
If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)
Answer
(A)
x > -\(\frac{1}{6}\)
29
Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\)
Answer
(A)
3\(\sqrt{2}\) + 4
30
A binary operation x is defined by a x b = a\(^b\). If a x 2 = 2 - a, find the possible values of a?
Answer
(A)
1, -2
31
The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
Answer
(A)
\(\frac{\pi r}{3}\)
32
A sector of circle of radius 7.2cm which substends an angle of 300\(^o\) at the centre is used to form a cone. What s the radius of the base of the cone?
Answer
(C)
6cm
33
A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?
Answer
(D)
20m
34
The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?
Answer
(B)
36\(^o\)
35
Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio
