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