Evaluate \((111_{two})^2\) and leave your answer in base 2
پاسخ دهید
(B)
\(110001_{two}\)
2
Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)
پاسخ دهید
(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
پاسخ دهید
(B)
\(7.5\times 10^{-3}\)
4
If \(p\propto \frac{1}{q}\), which of the following is true?
پاسخ دهید
(D)
\(q\propto \frac{1}{p}\)
5
Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form
پاسخ دهید
(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
پاسخ دهید
(A)
least value of x is -3.2
7
Simplify\(\frac{3x^{3}}{(3x)^{3}}\)
پاسخ دهید
(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?
پاسخ دهید
(B)
N40,000
9
I am x years old and my brother is 3 years older. How old was my brother last year
پاسخ دهید
(B)
(x + 2) years
10
For what value of x is the expression \(\frac{2x-1}{x+3}\)not defined?
پاسخ دهید
(D)
-3
11
If x =3, y = 2 and z = 4 what is the value of \(3x^{2}-2y+z\)
پاسخ دهید
(B)
27
12
Solve the simultaneous equation: x+y=2 and 3x-2y=1
پاسخ دهید
(B)
x=1 and y=1
13
If \(8^{x+1}=\frac{1}{4}\), find x
پاسخ دهید
(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
پاسخ دهید
(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
پاسخ دهید
(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.
پاسخ دهید
(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?
پاسخ دهید
(B)
12cm2
18
Evaluate(111two)\(^2\) and leave your answer in base 2.
پاسخ دهید
(B)
110001two
19
Find the LCM of 23 x 3 x 52, 2 x 32 x 5 and 23 x 33 x 5
پاسخ دهید
(D)
23 x 33 x 52
20
Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.
پاسخ دهید
(B)
7.5 x 10-3
21
If p \(\alpha \frac{I}{Q}\) which of the following is true?
پاسخ دهید
(D)
q \(\alpha \frac{1}{p}\)
22
Simplify 3\(\sqrt{45} - 12\sqrt{5} + 16\sqrt{20}\), leaving your answer in surd form.
پاسخ دهید
(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?
پاسخ دهید
(B)
least value of x is -3
24
Simplify \(\frac{3x^3}{(3x)^3}\)
پاسخ دهید
(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?
پاسخ دهید
(B)
N40,000
26
I am x years old and my brother is 3 years older. How old was my brother last year?
پاسخ دهید
(B)
(x + 2) years
27
For what value of x is the expression \(\frac{2x - 1}{x + 3}\) not defined?
پاسخ دهید
(D)
-3
28
If x = 3, Y = 2 and z = 4, what is the value of 3x2 - 2y + z?
پاسخ دهید
(B)
27
29
Solve the simultaneous equations x + y = 2 and 3x - 2y = 1
پاسخ دهید
(B)
x = 1 and y = 1
30
If 8x-1 = \(\frac{1}{4}\), find x
پاسخ دهید
(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.
پاسخ دهید
(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
پاسخ دهید
(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
پاسخ دهید
(D)
2\(\frac{1}{3}cm\)
34
Find the volume of a solid cylinder with base radius 10cm and height 14cm.
پاسخ دهید
(D)
4400cm3
35
Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?
پاسخ دهید
(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
پاسخ دهید
(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.
پاسخ دهید
(B)
3
38
If the probability of an event occurring is x, what is the probability of the event not occurring?
پاسخ دهید
(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? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)
پاسخ دهید
(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? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)
پاسخ دهید
(A)
3.5 years
41
Divide the sum of 8, 6, 7, 2, 0, 4, 7, 2, 3, by their mean
پاسخ دهید
(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.
پاسخ دهید
(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?
پاسخ دهید
(B)
153.2m
44
Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
پاسخ دهید
(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?
پاسخ دهید
(C)
4
46
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
پاسخ دهید
(D)
2\(\frac{1}{2}\)%
47
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
پاسخ دهید
(B)
3.0cm
48
Which of the following is a factor of 2 - x - x2?
پاسخ دهید
(A)
1 - x
49
make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
پاسخ دهید
(A)
\(\frac{a + bc - fg}{dg}\)
50
For what range of values of x is 4x - 3(2x - 1) > 1?
پاسخ دهید
(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.
پاسخ دهید
(C)
15
52
Expand the expression(3a - xy)(3a + xy)
پاسخ دهید
(A)
9a2 - x2y2
53
Simplify \(\frac{4}{2x} - \frac{2x + x}{x}\)
پاسخ دهید
(A)
-1
54
Two circles have radii 16cm and 23cm. What is the difference between their circumference? take \(\pi = \frac{22}{7}\)
پاسخ دهید
(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.
پاسخ دهید
(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?
پاسخ دهید
(B)
12cm2
57
From the diagram, find the value of x in the diagram.
پاسخ دهید
(B)
70o
58
In the diagram, |SP| = |SR| and < PRS = 50o. Calculate < PQR
پاسخ دهید
(C)
100o
59
Find the value of x in the diagram
پاسخ دهید
(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
پاسخ دهید
(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
پاسخ دهید
(D)
17
62
If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z
پاسخ دهید
(B)
12 : 20 : 35
63
In the diagram, O is the centre of the circle and < PQR = 106º, find the value of y
پاسخ دهید
(C)
74
64
In the diagram, |XR| = 4cm
|RZ| = 12cm, |SR| = n, |XZ| = m and SR||YZ. Find m in terms of n
پاسخ دهید
(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
