Further Mathematics Questions and Answers

A three-digit odd number less than 500 is to be formed from 1,2,3,4 and 5. If repetition of digits is allowed, in how many ways can this be done?

Calculate the variance of $\sqrt{2}$, (1 + $\sqrt{2}$) and (2 + $\sqrt{2}$) 

A force of 230N acts in its direction 065$^o$. Find its horizontal component.

In what interval is the function f : x -> 2x - x$^2$ increasing? 

A function f defined by f : x -> x$^2$ + px + q is such that f(3) = 6 and f(3) = 0. Find the value of q.