Simplify \((\sqrt[3]{64a^{3}})^{-1}\)

Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places

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

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

Find the area bounded by the curves y = 4 - x2 and y = 2x + 1

Differentiate (2x+5)2(x-4) with respect to x.

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

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

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

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)

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

2001 JAMB UTME Mathematics Past Questions