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