Mathematics Past Questions and Answers

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is

A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

If sec² \(\theta\) + tan² \(\theta\) = 3, then the angle \(\theta\) is equal to