All posts in "GCSEMaths"
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How Variables Scale in Equations

You will have used equations all the time in science and maths, usually by plugging in numbers. For example, if we look at Newton’s second law and you know that mass is 1 kilogram and acceleration is 2 then the force is newtons. But there’s something else you can do with equations that is incredibly […]

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Circle Theorems

Circle theorems are tricky to learn because they require you to quickly spot patterns that can appear distorted. We show how to learn these patterns using interactive examples that let you play with the shapes and see the angles change in real-time.

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Simultaneous Equations

We show how to solve two equations by substitution and by subtracting one equation from the other. This works if both equations are lines or if one equation is a line and the other is a circle or a parabola.

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Using Maths to Make Crispier Roast Potatoes

How can maths make crispier, tastier and better-looking roasties? It’s as simple as changing the way you slice up your potatoes. Apply a bit of geometry to your spuds and do the experiment for yourself, the results are delicious!

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Ratios, Proportions and Fractions

Ratios, like potatoes, are great, but you can’t eat them raw. Just as potatoes need to be cooked before you eat them, ratios have to be turned into fractions before you can use them to split up amounts.

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Sine Rule and Cosine Rule

The sine and cosine rule let you work out missing angles and side lengths of triangles which aren’t right-angled triangles. The trick to learning how to use these rules is to recognise the patterns that match triangles with the right rule. Is it a sandwich or an opposite?

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Quadratic Equations

Quadratic equations can be easier to solve if you know a few tricks. This shows you a few of those tricks, such as using the sign of the number term to quickly narrow down the possible solutions, and completing the square, but also explains why we bother to factorise quadratics in the first place.