If 321\(_4\) is divided by 23\(_4\) and leaves a remainder r, what is the value of r?
Answer
(C)
2
3
Simplify 3\(\frac{1}{2}\) - (2\(\frac{1}{3}\) x 1\(\frac{1}{4}\)) + \(\frac{3}{5}\)
Answer
(C)
111/60
4
If the interest on N150.00 for 2\(\frac{1}{2}\) years is N4.50, find the interest on N250.00 for 6 months at the same rate
Answer
(A)
N1.50
5
Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share
If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5
Answer
(B)
0.6532
8
Simplify \(\frac{(√12-√3)}{(√12+√3)}\)
Answer
(B)
\(\frac{1}{3}\)
9
The venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?
Answer
(C)
15
10
If m = 3, p = -3, q = 7 and r = \(\frac{5}{2}\), evaluate m(p+q+r)
Answer
(A)
19.50
11
A polynomial in x whose zeros are -2, -1 and 3 is
Answer
(D)
x3 - 7x - 6
12
The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?
Answer
(C)
45
13
The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 42/3 and L = 54, find d in terms of W and L.
Answer
(A)
\(\sqrt{\frac{42W}{5L}}\)
14
Find the range of values of x for which 7x - 3 > 25 + 3x
Answer
(A)
x >7
15
The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\leq\) 0
Answer
(D)
x \(\leq\) -2, 0 \(\leq\) x \(\leq\) 2
16
If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference.
Answer
(B)
3
17
Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96
Answer
(D)
920
18
An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity element
Answer
(C)
-1
19
Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52o and ∠LOH = 85o, calculate the size of ∠EOG.
Answer
(B)
43o
20
The sum of the interior angle of a regular polygon is 1800o. Calculate the size of one exterior angle of the polygon
Answer
(A)
30o
21
In the diagram above, O is the center of the circle,
∠UOT = 70º and ∠RST = 100º. Calculate ∠RUO.
Answer
(B)
25o
22
A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
Answer
(B)
63o
23
Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm
Answer
(B)
65 πcm2
24
Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the
Answer
(C)
bisector of the angles between lines PQ and ST
25
Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5
Answer
(D)
2y - x = 2
26
A chord of a circle subtends an angle of 60o at the length of a circle of radius 14 cm. Find the length of the chord
Answer
(B)
14 cm
27
If sin θ = -1/2 for 0 < θ < 360o, the value of θ is
Answer
(C)
210o and 330o
28
If y = (1 - 2x)\(^3\), find the value of dy/dx at x = -1
Answer
(D)
-54
29
Find the derivative of y = sin(2x\(^3\) + 3x - 4)
Answer
(C)
(6x2 + 3) cos (2x3 + 3x - 4)
30
The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?
Answer
(C)
6 π cm2/sec
31
The maximum value of the function
f(x) = 2 + x - x\(^2\) is
Answer
(A)
\(\frac{9}{4}\)
32
Find the area of the figure bounded by the given pair of curves y = x\(^2\) - x + 3 and y = 3
Answer
(D)
\(\frac{1}{6}\)units (sq)
33
Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)
Answer
(A)
1
34
The histogram above shows the distribution of monthly incomes of the workers in a company. How many workers earn more than N700.00?
Answer
(B)
12
35
The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?
Answer
(A)
7
36
The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x
Answer
(B)
2
37
The modal height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r, respectively. Find m+2r.
Answer
(C)
1.95
38
Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2
Answer
(A)
1
39
In how many ways can 6coloured chalks be arranged if 2 are same colour?
Answer
(D)
360
40
How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table
Answer
(B)
720
41
A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls
Answer
(A)
\(\frac{17}{50}\)
42
What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?
Answer
(C)
\(\frac{3}{20}\)
43
in the diagram above, calculate the value of x.
Answer
(C)
120o
44
From the diagram given, find the bearing of R from S
Answer
(B)
224o
45
A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the father's monthly income if the second child got ₦ 3,000?
