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Trigonometric equations with degrees

Simple trig equations with radians

Convert degrees to radians and radians to degrees.

Definite integation of basic functions.

Differentiate $\displaystyle (ax^m+b)^{n}$.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Some quadratics are to be solved by factorising

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

Draws a diagram showing a randomly-chosen number of circles, packed in a box.

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.