Mathematics Past Questions and Answers

Evaluate \(\int_2^3\left(x^2-2 x\right) d x\).

Simplify \(\frac{2+\sqrt{5}}{2 \sqrt{5}-1}\)

Solve \(5 x=40 x^{-2}\)

A basket contains green, black and blue balls in the ratio \(5: 2: 1\) if there are 10 blue balls, find the corresponding new ratio when 10 green and 10 black balls are removed from the basket

If \(210 . X_4=146_{10}\), find the value of \(X\).