Mathematics Past Questions and Answers

The sum of the first n terms of an arithmetic progression is 252. <br/>If the first term is -16 and the last is 72, the number of terms is the series is.

An arc of a circle subtends an angle of 300 on the circumference of a circle of radius 21cm. Find the length of the arc.

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm<sup style='font-size: smaller;'>2</sup>, find the distance between the parallel sides.

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec, is 64cm long, find the length of a pendulum <br/>whose period is 9 sec.

Given that the first and fourth terms of a G.P are 6 and 162 respectively, find the sum of the first three terms of the progression.