If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira
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(B)
7.49
2
Solve for x in the equation; \(\frac{3}{5}\)(2x - 1) = \(\frac{1}{4}\)(5x - 3)
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(D)
3
3
Given that cos xo = \(\frac{1}{r}\), express tan x in terms of r
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(D)
\(\sqrt{r^2 - 1}\)
4
Solve the equation; 3x - 2y = 7, x + 2y = -3
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(A)
x = 1, y = -2
5
If a number is chosen at random from the set {x: 4 \(\leq x \leq 15\)}. Find the probability that it is a multiple of 3 or a multiple of 4
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(A)
\(\frac{1}{2}\)
6
One of the factors of (mn - nq - n\(^2\) + mq) is (m - n). The other factor is?
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(C)
(n + q)
7
A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take \(\pi = \frac{22}{7}\)]
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(A)
11
8
A regular polygon of n sides has each exterior angle to 45o. Find the value of n
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(B)
8
9
Esther was facing S 20° W. She turned 90° in the clock wise direction. What direction is she facing?
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(A)
N 70o W
10
The cross section section of a uniform prism is a right-angled triangle with sides 3cm. 4cm and 5cm. If its length is 10cm. Calculate the total surface area
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(B)
132cm2
11
From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)
Which of these angles can be constructed using ruler and a pair of compasses only?
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(C)
135o
14
The perimeter of a sector of a circle of radius 4cm is (\(\pi + 8\))cm. Calculate the anle of the sector
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(A)
45o
15
The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error
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(D)
\(\frac{20}{7}\)%
16
What is the value of 3 in the number 42.7531?
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(B)
\(\frac{3}{1000}\)
17
The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi\) m\(^3\). Calculate the radius.
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(B)
0.60m
18
The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi m^3\) Calculate the radius.
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(B)
0.60m
19
What is the value of 3 in the number 42.7531?
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(B)
\(\frac{3}{1000}\)
20
Factorize the expression: am + bn - an - bm
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(B)
(a - b)(m - n)
21
The graph represents the relation y = xo2 - 3x - 3. Find the value of x for which x2 - 3x = 7
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(A)
-1.55, 4.44
22
Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0
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(B)
\(\frac{11m}{10n}\)
23
If \(\sqrt{72} + \sqrt{32} - 3 \sqrt{18} = x \sqrt{8}\), Find the value of x
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(C)
\(\frac{1}{2}\)
24
G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
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(A)
15
25
Given that n(p) = 19, m(P \(\cup\) Q) = 38 and n(P \(\cap\) Q) = 7, Find n(C)
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(A)
26
26
What must be added to (2x - 3y) to get (x - 2y)?
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(B)
y - x
27
Simplify 1\(\frac{3}{4} - (2 \frac{1}{3} + 4)\)
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(C)
-4 \(\frac{7}{12}\)
28
Find the smaller value of x that satisfies the equation x\(^2\) + 7x + 10 = 0
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(A)
-5
29
The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect
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(C)
inside the triangle
30
A rectangular garden measures 18.6m by 12.5m. Calculate, correct to three significant figures, the area of the garden
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(D)
233m2
31
John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
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(A)
11cm
32
John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
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(A)
11cm
33
in a quiz competition, a student answers n questions correctly and was given D(n + 50) for each question correctly answered. If he gets D600.00 altogether, how many questions did he answer correctly?
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(D)
10
34
If 27x = 9y. Find the value of \(\frac{x}{y}\)
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(B)
\(\frac{2}{3}\)
35
a boy looks through a window of a building and sees a mango fruit on the ground 50m away from the foot of the building. If the window is 9m from the ground, calculate, correct to the nearest degree, the angle of depression of the mango from the window
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(B)
10o
36
The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?
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(B)
\(\bigtriangleup\) PKS
37
In the diagram, PO and OR are radii, |PQ| = |QR| and reflex < PQR is 240o. Calculate the value x
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(A)
60o
38
Find the size of the angle marked x in the diagram.
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(C)
128o
39
The histogram shows the age distribution of members of a club. How many members are in the club?
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(A)
52
40
The histogram shows the age distribution of members of a club. What is their modal age?
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(A)
44.5
41
In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the size of < MQR?
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(B)
120o
42
The graph represents the relation y = x\(^2\) - 3x - 3. What is the equation of the line of symmetry of the graph?
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(C)
x = 1.5
43
from the diagram, Which of the following statements are true? i. m = q ii. n = q iii. n + p = 180o iv. p + m = 180o
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(A)
i and iii
44
In the diagram, STUV is a straight line. < TSY = < UXY = 40o and < VUW = 110o. Calculate < TYW
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(A)
150o
45
The venn diagram shows the number of students in a class who like reading(R), dancing(D) and swimming(S). How many students like dancing and swimming?
