If Musa scored 75 in biology instead of 57, his average mark in four subjects would have been 60. What was his total mark?
Answer
(C)
222
3
Divide the L.C.M of 48, 64, and 80 by their H.C.F
Answer
(D)
60
4
Find the smallest number by which 252 can be multiplied to obtain a perfect square
Answer
(D)
7
5
Find the reciprocal of \(\frac{\frac{2}{3}}{\frac{1}{2} + \frac{1}{3}}\)
Answer
(B)
\(\frac{5}{4}\)
6
Three boys shared some oranges. The first received \(\frac{1}{3}\) of the oranges, the second received \(\frac{2}{3}\) of the remainder. If the third boy received the remaining 12 oranges, how many oranges did they share?
Answer
(B)
54
7
If P = 18, Q = 21, R = -6 and S = -4, Calculate \(\frac{(P- Q)^3 + S^2}{R^3}\)
Udoh deposited N150.00 in the bank. At the end of 5 years the simple interest on the principal was N55.00. At what rate per annum was the interest paid?
Answer
(B)
7\(\frac{1}{3}\)%
10
A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2 : 3 : 5 respectively. If Bisi got 5, how many were share out?
Answer
(B)
25
11
The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.
Answer
(C)
(17, 11)
12
In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?
make v the subject of the formula S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)
Answer
(C)
v = \(\frac{12}{2s^2 + w}\)
27
Find the values of x which satisfy the equation 16x - 5 x 4x + 4 = 0
Answer
(C)
0 and 1
28
If \(\frac{a}{b}\) = \(\frac{c}{d}\) = k, find the value of \(\frac{3a^2 - ac + c^2}{3b^2 - bd + d^2}\) in terms of k
Answer
(D)
k2
29
At what points does the straight line y = 2x + 1 intersect the curve y = \(2x^2\) + 5x - 1?
Answer
(A)
(-2, -3) and(\(\frac{1}{2}\), 2)
30
If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan2\(\theta\)
Answer
(A)
\(\frac{b^2}{a^2}\)
31
A regular polygon of n sides has 160o as the size of each interior angle. Find n
Answer
(A)
18
32
A girl walks 45 meters in the direction 050o from a point Q to a point X. She then walks 24 meters in the direction 140o from X to a point Y. How far is she then from Q?
Answer
(C)
51m
33
An arc of a circle of radius 6cm is 8cm long. Find the area of the sector
Answer
(B)
24cm2
34
Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)
Answer
(D)
36\(\pi \)cm2
35
If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W?
Answer
(D)
A circle with the line UV as the diameter
36
An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs N2.00 to paint one square meter
Answer
(B)
N112.00
37
Of the nine hundred students admitted in a university in 1979, the following was the distribution by state: Anambrs 185, Imo 135, Kaduna 90, Kwara 110, Ondo 155, Oyo 225. In a pie chart drawn to represent this distribution, The angle subtended at the centre by anambra is
Answer
(C)
74o
38
Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119
Answer
(B)
125
39
Find the probability that a number selected at random from 40 to 50 is a prime
Answer
(C)
\(\frac{3}{11}\)
40
A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed?
Answer
(C)
\(\frac{7}{18}\)
41
The table below gives the scores of a group of students in a Mathematical test.
\(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency & 2 & 4 & 7 & 14 & 12 & 6 & 4 & 1\end{array}\)
If the mode in m and the number of students who scored 4 or less is s. What is (s, m)?
Answer
(A)
(27, 4)
42
In the diagram, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm. TQ = 8cm and TS = 12cm, find TR.
Answer
(A)
16cm
43
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
Answer
(C)
816m3
44
PQ and PR are tangents from P to a circle centre O as shown in the figure. If QRP = 34o, find the angle marked x
Answer
(C)
68o
45
In the figure, \(\bigtriangleup\)PQT is isosceles. PQ = QT, SRQ = 35o, TPQ = 20o and PQR is a straight line.Calculate TSR
