Find (101\(_2\))\(^2\), expressing the answer in base 2.
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(B)
11001
2
If three children shares N10.50 among themselves in ratio 6:7:8, how much is the largest share?
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(C)
N4.00
3
Express 0.000834 in standard form
پاسخ دهید
(A)
8.34 x 10-4
4
Given that log2a = log84, find a
پاسخ دهید
(D)
22/3
5
By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?
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(D)
N400.00
6
Find the nth term Un of the A.P., 11, 4, -3,....... .
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(D)
Un= 18-7n
7
lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of x and y.
پاسخ دهید
(C)
1
8
If R = [2, 4, 6, 7] and S = [1, 2, 4, 8], then R∪S equal
پاسخ دهید
(A)
[1,2,4,6,7,8]
9
Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)
پاسخ دهید
(B)
-5 or +1
10
Which of the following could be the inequality illustrated in the sketch graph above?
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(B)
y≤-3x+3
11
Solve the inequality: \(\frac{1}{3}(2x - 1) < 5\)
پاسخ دهید
(D)
x <8
12
What is the smaller value of x for which x\(^2\) - 3x + 2= 0?
پاسخ دهید
(A)
1
13
Factorize the expression x(a - c) + y(c - a)
پاسخ دهید
(B)
(a - c)(x - y)
14
If \(y \propto \frac{1}{x^2}\) and x = 3 when y = 4, find y when x = 2.
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(C)
9
15
Solve the equation 3x\(^2\) + 25x -18 = 0
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(D)
-9,2/3
16
Solve the equation (x +2)(x - 7) = 0
پاسخ دهید
(B)
x = -2 or 7
17
Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x
پاسخ دهید
(D)
1
18
Use the graph of y = 3x\(^2\) + x - 7 above to answer the question
What is the minimum value of y?
پاسخ دهید
(B)
-7
19
Use the graph of y = 3x\(^2\) + x - 7 above to answer the question
Find the roots of the equation y=3x\(^2\) + x - 7
پاسخ دهید
(C)
1.4and-1.7
20
In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|
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(E)
6cm
21
The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.
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(E)
96cm2
22
A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]
پاسخ دهید
(B)
375 litres
23
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
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(D)
528cm2
24
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
What is the volume of the container?
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(E)
770cm3
25
Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]
پاسخ دهید
(B)
66cm2
26
A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.
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(B)
6cm
27
The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.
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(D)
24cm
28
The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?
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(D)
50o
29
A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?
پاسخ دهید
(B)
7cm
30
The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector
پاسخ دهید
(E)
13 3/5cm,
31
In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.
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(A)
20o
32
In the diagram above, AO is perpendicular to OB. Find x
پاسخ دهید
(D)
30o
33
In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.
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(D)
100o
34
If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?
پاسخ دهید
(A)
O.117
35
In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC
پاسخ دهید
(E)
90o
36
In the diagram above, AB//CD. What is the size of the angle marked x?
پاسخ دهید
(B)
93o
37
The locus of a point which is equidistant from two given fixed points is the
پاسخ دهید
(A)
perpendicular bisector of the straight line joining them
38
In the diagram above, the value of angles b + c is
پاسخ دهید
(A)
180o
39
Which of the following angles is an exterior angle of a regular polygon?
پاسخ دهید
(E)
72o
40
In ΔABC above, BC is produced to D, /AB/ = /AC/ and ∠BAC = 50o. Find ∠ACD
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(E)
115o
41
Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)
پاسخ دهید
(A)
2
42
In the diagram above, ∠PRQ = 90°, ∠QPR = 30° and /PQ/ = 10 cm. Find y.
پاسخ دهید
(B)
5cm
43
The bearing of two points Q and R from a point P are 030° and 120° respectively, lf /PQ/ = 12 m and /PR/ = 5 m, find the distance QR.
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(A)
13m
44
What is the mode of the numbers 8, 10, 9, 9, 10, 8, 11, 8, 10, 9, 8 and 14?
پاسخ دهید
(A)
8
45
The mean of 20 observations in an experiment is 4, lf the observed largest value is 23, find the mean of the remaining observations.
