If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64
Απάντηση
(B)
6
7
If x * y = x + y\(^2\), find then value of (2*3)*5
Απάντηση
(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?
Απάντηση
(A)
q = 18
9
If \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\), find the value of x
Απάντηση
(A)
3
10
From the diagram above, find x
Απάντηση
(A)
65o
11
From the cyclic quadrilateral TUVW above, find the value of x
Απάντηση
(B)
24o
12
If two smaller sides of a right angled triangle are 4cm and 5cm, find its area
Απάντηση
(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
Απάντηση
(C)
110/7
14
What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?
Απάντηση
(A)
y = -χ + 6
15
If the area of ΔPQR above is 12\(\sqrt{3}\) cm\(^2\), find the value of q?
Απάντηση
(A)
6 cm
16
If y = (2x + 1)\(^3\) find \(\frac{\text{d}}{\text{dx}}\)
Απάντηση
(D)
6(2x+1)2
17
Find ∫(sin x + 2)dx
Απάντηση
(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?
Απάντηση
(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?
Απάντηση
(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
Απάντηση
(D)
3.3
21
Find r, if 6r7\(_8\) = 511\(_9\)
Απάντηση
(A)
3
22
Simplify (\(\frac{3}{4}\) of \(\frac{4}{9}\) \(\div\) 9\(\frac{1}{2}\)) \(\div\) 1\(\frac{5}{19}\)
Απάντηση
(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?
Απάντηση
(C)
0.80%
24
At what rate will the interest on N400 increases to N24 in 3 years reckoning in simple interest?
Απάντηση
(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
Απάντηση
(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
Απάντηση
(A)
-44
27
At what value of X does the function y = -3 - 2x + X2 attain a minimum value?
Απάντηση
(D)
1
28
Find the equation of a line parallel to y = -4x + 2 passing through (2,3)
Απάντηση
(C)
y + 4x - 11 = 0
29
Make Q the subject of formula if p = \(\frac{M}{5}\)(X + Q) + 1
Απάντηση
(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.
Απάντηση
(D)
3x - 2y
31
Solve for x and y if x - y = 2 and x2 - y2 = 8
Απάντηση
(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
Απάντηση
(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 + \(\frac{1}{2}\)?
Απάντηση
(B)
x > \(\frac{3}{2}\)
34
Solve the inequalities -6 \(\leq\) 4 - 2x < 5 - x
Απάντηση
(B)
-1 < x \(\leq\) 5
35
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....
