If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64
إجابة
(B)
6
7
If x * y = x + y\(^2\), find then value of (2*3)*5
إجابة
(A)
36
8
If p and q are two non zero numbers and 18(p+q) = (18+p)q, which of the following must be true?
إجابة
(A)
q = 18
9
If \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\), find the value of x
إجابة
(A)
3
10
From the diagram above, find x
إجابة
(A)
65o
11
From the cyclic quadrilateral TUVW above, find the value of x
إجابة
(B)
24o
12
If two smaller sides of a right angled triangle are 4cm and 5cm, find its area
إجابة
(A)
10 cm2
13
An arc subtends an angle of 50º at the center of circle of radius 6cm. Calculate the area of the sector formed
إجابة
(C)
110/7
14
What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?
إجابة
(A)
y = -χ + 6
15
If the area of ΔPQR above is 12\(\sqrt{3}\) cm\(^2\), find the value of q?
إجابة
(A)
6 cm
16
If y = (2x + 1)\(^3\) find \(\frac{\text{d}}{\text{dx}}\)
إجابة
(D)
6(2x+1)2
17
Find ∫(sin x + 2)dx
إجابة
(D)
-cos x + 2x + K
18
Marks
2
3
4
5
6
7
8
No. of students
3
1
5
2
4
2
3
from the table above, if the pass mark is 5, how many students failed the test?
إجابة
(D)
9
19
Marks
1
2
3
4
5
Frequency
2
2
8
4
4
The table above show the marks obtained in a given test.
How many student took the test?
إجابة
(C)
20
20
Marks
1
2
3
4
5
Frequency
2
2
8
4
4
The table above show the marks obtained in a given test.
Find the mean mark
إجابة
(D)
3.3
21
Find r, if 6r7\(_8\) = 511\(_9\)
إجابة
(A)
3
22
Simplify (\(\frac{3}{4}\) of \(\frac{4}{9}\) \(\div\) 9\(\frac{1}{2}\)) \(\div\) 1\(\frac{5}{19}\)
إجابة
(C)
\(\frac{1}{36}\)
23
A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in the measurement?
إجابة
(C)
0.80%
24
At what rate will the interest on N400 increases to N24 in 3 years reckoning in simple interest?
إجابة
(B)
2%
25
If p : q = \(\frac{2}{3}\) : \(\frac{5}{6}\) and q : r = \(\frac{3}{4}\) : \(\frac{1}{2}\), find p : q : r
إجابة
(A)
12 : 15 : 10
26
The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression
إجابة
(A)
-44
27
At what value of X does the function y = -3 - 2x + X2 attain a minimum value?
إجابة
(D)
1
28
Find the equation of a line parallel to y = -4x + 2 passing through (2,3)
إجابة
(C)
y + 4x - 11 = 0
29
Make Q the subject of formula if p = \(\frac{M}{5}\)(X + Q) + 1
إجابة
(B)
\(\frac{5P - MX - 5}{M}\)
30
If 9x\(^2\) + 6xy + 4y\(^2\) is a factor of 27x\(^3\) - 8y\(^3\), find the other factor.
إجابة
(D)
3x - 2y
31
Solve for x and y if x - y = 2 and x2 - y2 = 8
إجابة
(B)
(3, 1)
32
If x is inversely proportional to y and x = 2\(\frac{1}{2}\) when y = 2, find x if y = 4
إجابة
(C)
1\(\frac{1}{4}\)
33
For what range of values of x is \(\frac{1}{2}\)x + \(\frac{1}{4}\) > \(\frac{1}{3}\)x + \(\frac{1}{2}\)?
إجابة
(B)
x > \(\frac{3}{2}\)
34
Solve the inequalities -6 \(\leq\) 4 - 2x < 5 - x
إجابة
(B)
-1 < x \(\leq\) 5
35
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....
