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