Mathematics Past Questions and Answers

A car is moving at 120\(kmh^{-1}\). Find its speed in \(ms^{-1}\).

A particle starts from rest and moves through a distance \(S = 12t^{2} - 2t^{3}\) metres in time t seconds. Find its acceleration in 1 second.

Find the constant term in the binomial expansion \((2x^{2} + \frac{1}{x})^{9}\)

Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N.

The marks scored by 4 students in Mathematics and Physics are ranked as shown in the table below<br/><br/><table class='tbn'><tbody><tr><td> Mathematics </td><td> 3 </td><td> 4 </td><td> 2 </td><td> 1 </td></tr><tr><td> Physics </td><td> 4 </td><td> 3 </td><td> 1 </td><td> 2 </td></tr></tbody></table><br/><br/>Calculate the Spearmann's rank correlation coefficient.