If 2\(^{a}\) = \(\sqrt{64}\) and \(\frac{b}{a}\) = 3, evaluate a\(^2 + b^{2}\)
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Past Questions
1,853 questionsThe total surface area of a solid cylinder 165cm\(^2\). Of the base diameter is 7cm, calculate its height. [Take \(\pi = \frac{22}{7}\)]
Which of these values would make \(\frac{3p - 1}{p^{2} - p}\) undefined?
Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?
If (0.25)\(^y\) = 32, find the value of y.
If 3p = 4q and 9p = 8q - 12, find the value of pq.
Bala sold an article for #6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for N6,600.00.
Simplify: \(\log_{10}\) 6 - 3 log\(_{10}\) 3 + \(\frac{2}{3} \log_{10} 27\)
Solve \(4x^{2}\) - 16x + 15 = 0.
H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.
If m : n = 2 : 1, evaluate \(\frac{3m^2 - 2n^2}{m^2 + mn}\)
Evaluate: 2\(\sqrt{28} - 3\sqrt{50} + \sqrt{72}\)
If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.
If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y
Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)
If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\) = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)).
If 7 + y = 4 (mod 8), find the least value of y, 10 \(\leq y \leq 30\)
Simplify, correct to three significant figures, (27.63)\(^2\) - (12.37)\(^2\)
Solve: \(\frac{y + 1}{2} - \frac{2y - 1}{3}\) = 4