Mathematics Past Questions and Answers

A cylindrical tank has a capacity of 3080 m³. What is the depth of the tank if the diameter of its base is 14 m?
(Take pi = 22/7)

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.

If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k.

Evaluate \(\int 2(2x - 3)^{\frac{2}{3}} \mathrm d x\)