Mathematics Past Questions and Answers

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

Evaluate x²(x² - 1)^{-\(\frac{1}{2}\)} - (x² - 1)^{\(\frac{1}{2}\)}

Find the gradient of the line passing through the points (-2, 0) and (0, -4)

At what value of x is the function y = x² - 2x - 3 minimum?

Find the sum of the first 20 terms in an arithmetic progression whose first term is 7 and last term is 117.