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