Mathematics Past Questions and Answers

If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q.

<table class='tbn'><tbody><tr><td> Face </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td><td> 6 </td></tr><tr><td> Frequency </td><td> 12 </td><td> 18 </td><td> y </td><td> 30 </td><td> 2y </td><td> 45 </td></tr></tbody></table><br/><br/>Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

<table class='tbn'><tbody><tr><td> Face </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td><td> 6 </td></tr><tr><td> Frequency </td><td> 12 </td><td> 18 </td><td> y </td><td> 30 </td><td> 2y </td><td> 45 </td></tr></tbody></table><br/><br/>Given the table above as the result of tossing a fair die 150 times, find the mode.

Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).

A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.