Solve the following equation: \(\frac{2}{(2r - 1)}\) - \(\frac{5}{3}\) = \(\frac{1}{(r + 2)}\)
პასუხი
(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?
პასუხი
(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?
პასუხი
(A)
8π
4
determine the maximum value of y=3x\(^2\) + 5x - 3
პასუხი
(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
პასუხი
(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?
პასუხი
(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?
პასუხი
(A)
234.00 cm3
8
Find the derivative of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
პასუხი
(B)
16
9
Correct 241.34(3 x 10\(^{-3}\))\(^2\) to 4 significant figures
პასუხი
(D)
0.002172
10
Find the mean deviation of 1, 2, 3 and 4
პასუხი
(A)
1.0
11
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
პასუხი
(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?
პასუხი
(A)
\(\frac{3}{16}\)
13
Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)
პასუხი
(C)
8.8 x 10-3
14
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
პასუხი
(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?
პასუხი
(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.
პასუხი
(A)
6.5 units
17
The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
პასუხი
(D)
29.8cm
18
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
პასუხი
(B)
5cm
19
Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
პასუხი
(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.
პასუხი
(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?
პასუხი
(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
პასუხი
(D)
276o
23
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
პასუხი
(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?
პასუხი
(B)
\(\frac{1}{2}\)
25
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
პასუხი
(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
პასუხი
(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.
პასუხი
(C)
uvw = 12(u + v)
30
If g(x) = x\(^2\) + 3x find g(x + 1) - g(x)
პასუხი
(B)
2(x + 2)
31
factorize m\(^3\) - m\(^2\) + 2m - 2
პასუხი
(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
პასუხი
(C)
60 - x
33
What is the n-th term of the sequence 2, 6, 12, 20...?
პასუხი
(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
