Mathematics Past Questions and Answers

Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point where the gradient is 6.

How many ways can 6 students be seated around a circular table?

If \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\)\(\begin{pmatrix} 5 \\ 4 \end{pmatrix}\) = k\(\begin{pmatrix} 17.5 \\ 40.0 \end{pmatrix}\), find the value of k.

Express cos150° in surd form.

A straight line 2x+3y=6, passes through the point (-1,2). Find the equation of the line.