Mathematics Past Questions and Answers

Given an isosceles triangle with length of 2 equal sides t units and opposite side √3t units with angle θ. Find the value of the angle θ opposite to the √3t units.

Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.