Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119
Trả lời
(B)
125
4
Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4)
Trả lời
(D)
x > 11
5
Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\)
Trả lời
(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?
Trả lời
(D)
20
7
What is the circumference of latitude 0\(^o\)S if R is the radius of the earth?
Trả lời
(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
Trả lời
(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?
Trả lời
(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?
Trả lời
(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
Trả lời
(C)
0.6532
12
Simplify \(\frac{324 - 4x^2}{2x + 18}\)
Trả lời
(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?
Trả lời
(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.
Trả lời
(D)
29.8cm
15
What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?
Trả lời
(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?
Trả lời
(D)
\(\frac{7}{12}\)
17
In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS
Trả lời
(A)
136\(^o\)
18
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
Trả lời
(C)
-2
19
Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
Trả lời
(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.
Trả lời
(A)
3
21
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13
Trả lời
(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.
Trả lời
(A)
\(\frac{2}{11}\)
23
The equation of the line in the graph is
Trả lời
(C)
3y = -4x + 12
24
Express the product of 0.0014 and 0.011 in standard form
Trả lời
(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.
Trả lời
(B)
30\(\sqrt{3m}\)
26
Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years.
Trả lời
(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.
Trả lời
(A)
N2,050
28
If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)
Trả lời
(A)
x > -\(\frac{1}{6}\)
29
Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\)
Trả lời
(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?
Trả lời
(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
Trả lời
(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?
Trả lời
(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?
Trả lời
(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?
Trả lời
(B)
36\(^o\)
35
Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio
