Mathematics Past Questions and Answers

Simplify \(\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{3}}}{3^{-\frac{1}{6}} \times 3^{\frac{2}{3}}}\)

If x varies directly as y³ and x = 2 when y = 1, find x when y = 5

Factorize completely 8a + 125ax3

If y = \(\frac{x}{x - 3}\) + \(\frac{x}{x + 4}\) find y when x = -2

Find all real numbers x which satisfy the inequality \(\frac{1}{3}\)(x + 1) - 1 > \(\frac{1}{5}\)(x + 4)