Mathematics Past Questions and Answers

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

If y = x sinx, find dy/dx when x = π/2.

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is