Mathematics Past Questions and Answers

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

Express \((0.0439 \div 3.62)\) as a fraction.

If \(25^{1 - x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.

A bricklayer charges #1,500 per day for himself and #500 per day for his assistant. If a two bedroom flat was built for #95,000 and the bricklayer worked 10 days more than his assistant, how much did the assistant receive?

Find the equation of the locus of a point A(x, y) which is equidistant from B(0, 2) and C(2, 1)