What value of k makes the given expression a perfect square ? m\(^2\) - 8m + k = 0
2
4
8
16
64
Correct answer is D
Take half the coefficient of m and square it
=> (-8/2)2 = k = 16
Find the root of the equation 2x\(^2\) - 3x - 2 = 0
x = -2 or 1/2
x = -2 or1
x = -2 or 2
x = -1 or 2
x = -1/2 or 2
Correct answer is E
2x\(^2\) - 3x - 2 = 0
2x\(^2\) - 4x + x - 2 = 0
2x(x - 2) + 1(x - 2) = 0
(2x + 1)(x - 2) = 0
x = \(\frac{-1}{2}\) or x = 2
Evaluate log106 + log1045 - log1027 without using logarithm tables
0
1
1.1738
1.3802
10
Correct answer is B
log106 + log1045 - log1027
log10 \(\frac{6 \times 45}{27}\)
= log102 x 5
log1010 = 1
66m3
84m3
132m3
168m3
264m3
Correct answer is C
Area of trapezium = 1/2(a+b)h
= 1/2(4 + 7)x4 = 22m2
volume = 22 x 6 = 132m3
What is the probability of having an odd number in a single toss of a fair die?
1/6
1/3
1/2
2/3
5/6
Correct answer is C
n(S) = 6(odd) = {1, 3, 5}
n(odd) = 3
pr(odd) = \(\frac{n(odd)}{n(S)}\) 3/6 =1/2
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