Simplify \(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)
Απάντηση
(B)
\(\frac{-2}{7}\)
2
The H.C.F. of a2bx + ab2x and a2b - b2 is
Απάντηση
(B)
a + b
3
Correct 241.34(3 x 10-\(^3\))\(^2\) to 4 significant figures
Απάντηση
(D)
0.002172
4
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
Απάντηση
(C)
1.5%
5
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?
Απάντηση
(A)
\(\frac{3}{16}\)
6
Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)
Απάντηση
(C)
8.8 x 10-3
7
Three brothers in a business deal share the profit at the end of a contact. 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?
If a = 2, b = -2 and c = -\(\frac{1}{2}\), evaluate (ab2 - bc2)(a2c - abc)
Απάντηση
(D)
-34
13
If f(x - 4) = x2 + 2x + 3, Find, f(2)
Απάντηση
(D)
51
14
Factorize 9(x + y)2 - 4(x - y)2
Απάντηση
(C)
(x + 5y)(5x + y)
15
If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a - b)
Απάντηση
(A)
3, -3
16
Divide x3 - 2x2 - 5x + 6 by (x - 1)
Απάντηση
(A)
x2 - x - 6
17
If x + \(\frac{1}{x}\) = 4, find x2 + \(\frac{1}{x^2}\)
Απάντηση
(B)
14
18
What must be added to 4x\(^2\) - 4 to make it a perfect square?
Απάντηση
(C)
1
19
Find the solution of the equation x - 8\(\sqrt{x}\) + 15 = 0
Απάντηση
(C)
9, 25
20
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2; how wide is the lawn?
Απάντηση
(A)
5cm
21
A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?
Given that x2 + y2 + z2 = 194, calculate z if x = 7 and \(\sqrt{y}\) = 3
Απάντηση
(B)
8
24
Find the sum of the first twenty terms of the progression log a, log a2, log a3.....
Απάντηση
(D)
log a210
25
Find the sum of the first 18 terms of the progression 3, 6, 12......
Απάντηση
(B)
3(218 - 1)
26
At what value of x is the function x\(^2\) + x + 1 minimum?
Απάντηση
(B)
\(-\frac{1}{2}\)
27
The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
Απάντηση
(D)
29.8cm
28
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
Απάντηση
(B)
5cm
29
Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
Απάντηση
(A)
9
30
If Cos \(\theta\) = \(\frac{12}{13}\). Find \(\theta\) + cos2\(\theta\)
Απάντηση
(A)
\(\frac{169}{25}\)
31
A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pope is 10cm.Find the volume of metal used in making 3m of the pipe.
Απάντηση
(D)
20 700\(\pi\)cm3
32
If the heights of two circular cylinders are in the ratio 2 : 3 and their base radii are in the ratio 9:8, What is the ratio of their volumes?
Απάντηση
(A)
27 : 32
33
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?
Απάντηση
(B)
angle bisector of the two lines
34
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
Απάντηση
(D)
276o
35
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
Απάντηση
(D)
38
36
Below are the scores of a group of students in a test
\(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of students} & 1 & 4 & 5 & 6 & x & 2\end{array}\)
If the average scores is 3.5, find the value of x
Απάντηση
(B)
2
37
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?
Απάντηση
(C)
\(\frac{1}{2}\)
38
Find the probability that a number selected at random from 41 to 56 is a multiply of 9
Απάντηση
(A)
\(\frac{1}{8}\)
39
What is the equation of the quadratic function represented by the graph?
Απάντηση
(C)
y = x2 - x - 2
40
In the figure, PS = QS = RS and QSR - 100o, find QPR
