In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
پاسخ دهید
(D)
20
2
Find the values of x for which
\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4
پاسخ دهید
(B)
x > -6
3
The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?
پاسخ دهید
(B)
2000
4
A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
پاسخ دهید
(C)
5
5
If y = 23\(_{five}\) + 101\(_{three}\) , find y, leaving your answer in base two
پاسخ دهید
(B)
10111
6
Find the value of x in the diagram
پاسخ دهید
(D)
40°
7
Solve for t in the equation \(\frac{3}{4}\)t + \(\frac{1}{3}\)(21 - t) = 11
پاسخ دهید
(D)
9\(\frac{3}{5}\)
8
A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?
پاسخ دهید
(C)
\(\frac{5}{12}\)
9
If \(\frac{x}{a + 1}\) + \(\frac{y}{b}\) = 1. Make y the subject of the relation.
پاسخ دهید
(A)
\(\frac{b(a + 1 - x)}{a + 1}\)
10
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
پاسخ دهید
(B)
592cm\(^2\)
11
Convert 0.04945 to two significant figures
پاسخ دهید
(B)
0.049
12
The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.
پاسخ دهید
(A)
\(\frac {1}{10}\)
13
An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = \(\frac{22}{7}\))
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store
پاسخ دهید
(B)
N2,400.00
27
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.
پاسخ دهید
(A)
\(\frac{15}{17}\)
28
Divide the L.C.M of 48, 64 and 80 by their H.C.F
پاسخ دهید
(D)
60
29
Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12
پاسخ دهید
(B)
7x + 5y = 70
30
A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.
پاسخ دهید
(C)
N720.00
31
A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.
پاسخ دهید
(B)
43cm
32
Integrate the expression 6x\(^2\) - 2x + 1
پاسخ دهید
(B)
2x\(^3\) - x\(^2\) + x + c
33
In how many ways can the letters LEADER be arranged?
پاسخ دهید
(C)
360
34
In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/
پاسخ دهید
(C)
16 cm
35
Express 495g as a percentage of 16.5kg
پاسخ دهید
(A)
3%
36
Evaluate (2√3 - 4) (2√3 + 4)
پاسخ دهید
(A)
-4
37
Find the equation of the tangent at the point (2, 0) to the curve y = x\(^2\) - 2x
پاسخ دهید
(A)
y = 2x - 4
38
Use the quadratic equation curve to answer this questions
What is the minimum value of the graph?
پاسخ دهید
(A)
-5.3
39
Evaluate log\(_2\) 8 – log\(_3\) \(\frac{1}{9}\)
پاسخ دهید
(D)
5
40
Tanθ is positive and Sinθ is negative. In which quadrant does θ lies
پاسخ دهید
(B)
Third only
41
The table above shows the frequency of children age x years in a hospital
x
1
2
3
4
5
6
7
8
y
3
4
5
6
7
6
5
4
How many children are in the hospital
پاسخ دهید
(B)
40
42
The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ε.
Use the figure to answer this question
What is n(A U B)1 ?
پاسخ دهید
(C)
4
43
What is the loci of a distance 4cm from a given point P?
پاسخ دهید
(B)
a circle of radius 4cm
44
Given that Sin (5\(_x\) − 28)\(^o\) = Cos(3\(_x\) − 50)\(^o\), o < x < 90\(^o\)
Find the value of x
پاسخ دهید
(B)
21\(^o\)
45
Find the average of the first four prime numbers greater than 10
پاسخ دهید
(D)
15
46
What is the modal age?
پاسخ دهید
(B)
5
47
Convert 0.04945 to two significant figures
پاسخ دهید
(B)
0.049
48
Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10
پاسخ دهید
(C)
26
49
Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx
پاسخ دهید
(D)
3.47
50
Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?
پاسخ دهید
(C)
\(\frac{1}{4}\)
51
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
پاسخ دهید
(A)
210
52
From a point P, Q is 5km due West and R is12km due South of Q. Find the distance between P and R.
پاسخ دهید
(C)
13km
53
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two
پاسخ دهید
(B)
10111
54
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
پاسخ دهید
(D)
\(\frac{1}{9}\)
55
Which one of the following gives the members of the set A1 n B n C?
پاسخ دهید
(A)
Φ
56
Calculate the area of an equilateral triangle of side 8cm
