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