Mathematics Past Questions and Answers

Evaluate \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\) = \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\)

If \(log_{10} 2 = 0.3010\) and \(log_{10} 3 = 0.4771\), evaluate; without using logarithm tables, \(log_{10} 4.5\)

Find m such that (m + \(\sqrt{3}\))(1 - \(\sqrt{3}\))² = 6 - 2\(\sqrt{2}\)

The thickness of an 800 pages of book is 18mm. Calculate the thickness of one leaf of the book giving your answer in meters and in standard form

Simplify \(\frac{x + 2}{x + 1}\) - \(\frac{x - 2}{x + 2}\)