Mathematics Past Questions and Answers

The marks scored by 30 students in a Mathematics test are recorded in the table below:

Scores(Mark)	0	1	2	3	4	5
Noofstudents	4	3	7	8	6	2

What is the total number of marks scored by the children?

If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

If \(\begin{vmatrix} 2 & -4 \\ x & 9 \end{vmatrix} = 58\), find the value of x.

If \(y = 6x^3 + 2x^{-2} - x^{-3}\), find \(\frac{\mathrm d y}{\mathrm d x}\).