Solve the following equation: \(\frac{2}{(2r - 1)}\) - \(\frac{5}{3}\) = \(\frac{1}{(r + 2)}\)
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(B)
( 1, - \(\frac{5}{2}\) )
2
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
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(B)
10 ways
3
What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
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(A)
8π
4
determine the maximum value of y=3x\(^2\) + 5x - 3
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(D)
No correct option
5
A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides
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(A)
13 cm
6
find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?
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(D)
2
7
The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?
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(A)
234.00 cm3
8
Find the derivative of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
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(B)
16
9
Correct 241.34(3 x 10\(^{-3}\))\(^2\) to 4 significant figures
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(D)
0.002172
10
Find the mean deviation of 1, 2, 3 and 4
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(A)
1.0
11
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
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(C)
1.5%
12
Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?
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(A)
\(\frac{3}{16}\)
13
Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)
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(C)
8.8 x 10-3
14
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
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(A)
4\(\sqrt{3}\)
15
Three brothers in a business deal share the profit at the end of a contract. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
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(B)
N54 000.00
16
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
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(A)
6.5 units
17
The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
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(D)
29.8cm
18
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
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(B)
5cm
19
Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
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(A)
9
20
A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.
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(D)
20 700\(\pi\)cm3
21
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?
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(B)
angle bisector of the two lines
22
4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16
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(D)
276o
23
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
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(C)
38
24
Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?
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(B)
\(\frac{1}{2}\)
25
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
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(A)
\(\frac{1}{8}\)
26
Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?
A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin
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(B)
\(\frac{uw(p + q)}{pw + qu}\)
29
If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when
u = 2 and v = 6, find a relationship between u, v, w.
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(C)
uvw = 12(u + v)
30
If g(x) = x\(^2\) + 3x find g(x + 1) - g(x)
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(B)
2(x + 2)
31
factorize m\(^3\) - m\(^2\) + 2m - 2
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(D)
(m2 + 2)(m - 1)
32
The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
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(C)
60 - x
33
What is the n-th term of the sequence 2, 6, 12, 20...?
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(C)
n2 + n
34
If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation
