Mathematics Past Questions and Answers

A particle starts from rest and moves in a straight line such that its acceleration after t secs is given by \(a = (3t - 2) ms^{-2}\). Find the distance covered after 3 secs.

Given that \(r = 2i - j\), \(s = 3i + 5j\) and \(t = 6i - 2j\), find the magnitude of \(2r + s - t\).

<table class='tbn'><tbody><tr><td> Marks </td><td> 0 </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td></tr><tr><td> Number of candidates </td><td> 6 </td><td> 4 </td><td> 8 </td><td> 10 </td><td> 9 </td><td> 3 </td></tr></tbody></table><br/><br/>The table above shows the distribution of marks scored by students in a test. How many candidates scored above the median score?

<table class='tbn'><tbody><tr><td> Marks </td><td> 0 </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td></tr><tr><td> Number of candidates </td><td> 6 </td><td> 4 </td><td> 8 </td><td> 10 </td><td> 9 </td><td> 3 </td></tr></tbody></table><br/><br/>The table above shows the distribution of marks scored by students in a test. Find the interquartile range of the distribution.

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. \([g = 9.8ms^{-2}]\)