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