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