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Proportions show up in recipes, maps and shopping. Cross-multiplication solves every one of them in a single step.

Pull out the biggest perfect square and leave the rest inside the root. Here is the method, with lots of examples.

a² + b² = c² is not just for exams. Builders, shoppers and gamers use it every day – here is how.

Every differentiation rule you need for exams, with a worked example for each one.

Powers, roots, trig and logs explained in plain English, plus the common mistakes that give wrong answers.

CAS calculators solve algebra symbolically. Here is what that means and how to get the most from one in senior maths.

Three letters, three ratios, every right triangle solved. Here is how to pick the right one every time.

One page with every volume formula, worked examples and a quick guide to converting into litres and gallons.

A clear method for linear and quadratic sequences, plus exam tips to pick up every mark.

The one equation behind every dilution – from lab stock solutions to diluting cleaning concentrate.

One formula tells you exactly what you need on the final – here is how to use it, with examples.

Your fixed rate is ending, your home has gone up in value, rates have dropped… here are the signs it pays to switch.