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A question testing the application of the Area of a Triangle formula when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

Display a number as a mixed fraction when appropriate, using the mixedFractions display option.

Some quadratics are to be solved by factorising

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

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Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

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student is to re-arrange the equations $pV=nRT$ and $mgh = \frac{1}{2}mv^2$

Multiply two numbers in standard form, then divide two numbers in standard form.

This question aims to test understanding and ability to use the laws of indices.

Assessment of application of different model selection approaches in multiple regression.

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