Evaluate \((111_{two})^2\) and leave your answer in base 2
Respuesta
(B)
\(110001_{two}\)
2
Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)
Respuesta
(D)
\(2^{3}\times 3^{3}\times 5^{2}\)
3
Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form
Respuesta
(B)
\(7.5\times 10^{-3}\)
4
If \(p\propto \frac{1}{q}\), which of the following is true?
Respuesta
(D)
\(q\propto \frac{1}{p}\)
5
Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form
Respuesta
(A)
\(29\sqrt{5}\)
6
Which of the following is true for the set \(P = \{-3.2\leq x< 5\}\) where x is an integer
Respuesta
(A)
least value of x is -3.2
7
Simplify\(\frac{3x^{3}}{(3x)^{3}}\)
Respuesta
(C)
\(\frac{1}{9}\)
8
N140,000 is shared between ABU, Kayode and Uche. Abu has twice as much as Kayode, and Kayode has twice as much as Uche. What is Kayode's share?
Respuesta
(B)
N40,000
9
I am x years old and my brother is 3 years older. How old was my brother last year
Respuesta
(B)
(x + 2) years
10
For what value of x is the expression \(\frac{2x-1}{x+3}\)not defined?
Respuesta
(D)
-3
11
If x =3, y = 2 and z = 4 what is the value of \(3x^{2}-2y+z\)
Respuesta
(B)
27
12
Solve the simultaneous equation: x+y=2 and 3x-2y=1
Respuesta
(B)
x=1 and y=1
13
If \(8^{x+1}=\frac{1}{4}\), find x
Respuesta
(A)
\(-\frac{5}{3}\)
14
The area of a square field is 110.25m2. Find the cost of fencing it round at N75.00 per meter square
Respuesta
(D)
N8,268.75
15
A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the center of the circle
Respuesta
(D)
4.0cm
16
A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone.
Respuesta
(D)
\(2\frac{1}{3}cm\)
17
IN the diagram, |LN| = 4cm, LNM = 90o and tan y = 2/3. What is the area of the ∆LMN?
Respuesta
(B)
12cm2
18
Evaluate(111two)\(^2\) and leave your answer in base 2.
Respuesta
(B)
110001two
19
Find the LCM of 23 x 3 x 52, 2 x 32 x 5 and 23 x 33 x 5
Respuesta
(D)
23 x 33 x 52
20
Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.
Respuesta
(B)
7.5 x 10-3
21
If p \(\alpha \frac{I}{Q}\) which of the following is true?
Respuesta
(D)
q \(\alpha \frac{1}{p}\)
22
Simplify 3\(\sqrt{45} - 12\sqrt{5} + 16\sqrt{20}\), leaving your answer in surd form.
Respuesta
(A)
29\(\sqrt{5}\)
23
Which of the following statement is true for the ste P = {-3.2 \(\leq\) x < 5} where x is an integer?
Respuesta
(B)
least value of x is -3
24
Simplify \(\frac{3x^3}{(3x)^3}\)
Respuesta
(C)
\(\frac{1}{9}\)
25
N140,000 is shared between Abu, Kayode and Uche. Abu has twice as much as Kayode and Kayode has twice as much as Uche. What is Kayode'sshare?
Respuesta
(B)
N40,000
26
I am x years old and my brother is 3 years older. How old was my brother last year?
Respuesta
(B)
(x + 2) years
27
For what value of x is the expression \(\frac{2x - 1}{x + 3}\) not defined?
Respuesta
(D)
-3
28
If x = 3, Y = 2 and z = 4, what is the value of 3x2 - 2y + z?
Respuesta
(B)
27
29
Solve the simultaneous equations x + y = 2 and 3x - 2y = 1
Respuesta
(B)
x = 1 and y = 1
30
If 8x-1 = \(\frac{1}{4}\), find x
Respuesta
(D)
\(\frac{1}{3}\)
31
A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle.
Respuesta
(D)
4.0cm
32
The area of a square field is 110.25m2. Find the cost of fencing it round at N75.00 per metre
Respuesta
(B)
N3,150.00
33
A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone
Respuesta
(D)
2\(\frac{1}{3}cm\)
34
Find the volume of a solid cylinder with base radius 10cm and height 14cm.
Respuesta
(D)
4400cm3
35
Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?
Respuesta
(D)
20
36
In a , < PQR = < PRQ = 45o. which of the following statements is/are correct? i. \(\bigtriangleup\)PQR is an equalateral triangle ii. \(\bigtriangleup\)PQR is an isosceles triangle iii. \(\bigtriangleup\)PQR is a right-angled triangle
Respuesta
(C)
ii and iii only
37
The table above gives the distribution of the marks of a number of students in a test.
\(\begin{array}{c|c} Mark &1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency & 5 & 3 & 6 & 4 & 2 & 5\end{array}\), find the mode of the distribution.
Respuesta
(B)
3
38
If the probability of an event occurring is x, what is the probability of the event not occurring?
Respuesta
(A)
1 - x
39
The table shows the ages(in years) of twenty children chosen at random from a community. What is the mean age? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)
Respuesta
(B)
3.35 years
40
The table shows the ages(in years) of twenty children chosen at random from a community. What is the median of the distribution? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)
Respuesta
(A)
3.5 years
41
Divide the sum of 8, 6, 7, 2, 0, 4, 7, 2, 3, by their mean
Respuesta
(A)
9
42
Q is 32 km away from P on a bearing 042o and R is 25km from P on a bearing of 132o. Calculate the bearing of R from Q.
Respuesta
(B)
184o
43
The bearing of a point P from another point Q is 310o. If |PQ| = 200m, how far west of Q is P?
Respuesta
(B)
153.2m
44
Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
Respuesta
(B)
2.0
45
A messenger was paid N2.50 an hour during the normal working hours and 4.00 n hour during overtime. If he received N31.00 for 10 hours work, how many hours are for overtime?
Respuesta
(C)
4
46
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
Respuesta
(D)
2\(\frac{1}{2}\)%
47
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
Respuesta
(B)
3.0cm
48
Which of the following is a factor of 2 - x - x2?
Respuesta
(A)
1 - x
49
make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
Respuesta
(A)
\(\frac{a + bc - fg}{dg}\)
50
For what range of values of x is 4x - 3(2x - 1) > 1?
Respuesta
(C)
x < 1
51
Find the smallest value of k such that 2\(^2\) x 3\(^3\) x 5 x k is a perfect square.
Respuesta
(C)
15
52
Expand the expression(3a - xy)(3a + xy)
Respuesta
(A)
9a2 - x2y2
53
Simplify \(\frac{4}{2x} - \frac{2x + x}{x}\)
Respuesta
(A)
-1
54
Two circles have radii 16cm and 23cm. What is the difference between their circumference? take \(\pi = \frac{22}{7}\)
Respuesta
(C)
44.00cm
55
The volume of a cylinder is 1200cm3 and the area of its base is 150cm2. Find the height of the cylinder.
Respuesta
(B)
8.00cm
56
In the diagram |LN| = 4cm, LNM = 90o and tan y = \(\frac{2}{3}\). What is the area of the \(\bigtriangleup\)LMN?
Respuesta
(B)
12cm2
57
From the diagram, find the value of x in the diagram.
Respuesta
(B)
70o
58
In the diagram, |SP| = |SR| and < PRS = 50o. Calculate < PQR
Respuesta
(C)
100o
59
Find the value of x in the diagram
Respuesta
(A)
281o
60
The venn diagram shows the choice of food of a number of visitors to a canteen. If there were 35 visitors in all, find the value of x
Respuesta
(A)
5
61
The venn diagram shows the choice of food of a number of visitors to a canteen. How many people took at least two kinds of food? If there were 35 visitors in all
Respuesta
(D)
17
62
If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z
Respuesta
(B)
12 : 20 : 35
63
In the diagram, O is the centre of the circle and < PQR = 106º, find the value of y
Respuesta
(C)
74
64
In the diagram, |XR| = 4cm
|RZ| = 12cm, |SR| = n, |XZ| = m and SR||YZ. Find m in terms of n
Respuesta
(C)
m = 4n
65
In the diagram, O is the centre of the circle and PQ is a diameter. Triangle RSO is an equilateral triangle of side 4cm. Find the area of the shaded region
