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