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