A cylindrical drum is unloaded from a truck by rolling it down along a wooden plank. The length of the plank is 10 m and it is making an angle of 10° with the horizontal ground. Find the height from which the cylindrical drum was rolled down. Give your answer correct to 3 significant figures.

The data given below shows the marks of 12 students in a test, arranged in ascending order :

2, 3, 3, 3, 4, x, x + 2, 8, p, q, 8, 9.

If the given value of the median and mode is 6 and 8 respectively, then find the values of x, p, q.

If a polynomial x³ + 2x² – ax + b leaves a remainder -6 when divided by x + 1 and the same polynomial has x - 2 as a factor, then find the values of a and b.