Mathematics Past Questions and Answers

Find the distance between the points \((-2,1)\) and \((4,9)\).

If \(y\) varies directly as \(x\), and \(y=81\) when \(x=27\), find \(x\) when \(y=45\).

If \(x\) varies inversely as \(y\), and \(x=16\) when \(y=5\), find \(x\) when \(y=20\).

\(A\) varies jointly as \(B\) and \(C\). If \(A=72\), \(B=4\), and \(C=6\), find the constant of variation.

If \(p\) varies directly as \(q\), and \(p=63\) when \(q=9\), find \(p\) when \(q=15\).