GCSE Maths Formula Sheet: Higher and Foundation Level Maths Formulas

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What are Maths Formulas?

Formulas in GCSE Maths are algebraic rules expressed through mathematical symbols.

Learning Formulas for GCSE Maths Exams

GCSE Maths formulas are a key component of the GCSE Maths curriculum. GCSE Maths students are expected to memorize and apply these formulas to solve mathematical problems.

How do I memorise GCSE Maths formulas?

Many students struggle to memorize these formulas and apply them to solve mathematical problems, mainly because the GCSE Maths curriculum contains varied formulas across different topics. As a result, students often find themselves overwhelmed by the sheer volume of formulas they need to learn.

Which Formulae do I Need to Learn for GCSE Maths Exams?

Where can I get a list of GCSE Maths formulas?

Below you will find a GCSE Maths formula sheet. This list contains of all the formulas needed for your GCSE maths exam; for both foundation and higher level.

Which topics are covered in this GCSE Maths formula sheet?

This sheet covers topics in all areas, including geometry and trigonometry, as well as compound measures and quadratic equations.

Follow the links for the formulas below for the algebraic expressions.

Formula Level(s) Usage
Area of a Rectangle Foundation & Higher The formula for calculating the area of a rectangle.
Area of a Parallelogram Foundation & Higher The formula for calculating the area of a parallelogram.
Area of a Triangle Foundation & Higher The formula for calculating the area of a triangle.
Area of a Trapezium Foundation & Higher The formula for calculating the area of a trapezium.
Circumference of a Circle Foundation & Higher The formula for calculating the circumference of a circle, using the diameter or radius.
Area of a Circle Foundation & Higher The formula for calculating the area of a circle.
Volume of a Cuboid Foundation & Higher The formula for calculating the volume of a cuboid.
Volume of a Prism Foundation & Higher The formula for calculating the volume of a prism.
Volume of a Cylinder Foundation & Higher The formula for calculating the volume of a cylinder.
Volume of a Pyramid Higher The formula for calculating the volume of a pyramid.
Pythagoras’ Theorem Foundation & Higher The formula for calculating the length of the hypotenuse of a right-angled triangle.
Trigonometry (SOH CAH TOA) Foundation & Higher The formulas for calculating the length of a side of a right-angled triangle.
Trigonometry (Sine Rule) Higher The formula for calculating the length of a side of a non-right-angled triangle.
Trigonometry (Cosine Rule) Higher The formula for calculating the length of a side of a non-right-angled triangle.
Area of a non-right-angled Triangle Higher The formula for calculating the area of a non-right-angled triangle.
Speed Foundation & Higher The compound measure formula for calculating speed.
Density Foundation & Higher The compound measure formula for calculating density.
Pressure Foundation & Higher The compound measure formula for calculating pressure.
Quadratic Equations Higher The formula for calculating the solutions of a quadratic equation.

Study23 GCSE Maths Formula Flash Cards

There are a lot of GCSE Maths formulae to learn. The Study23 GCSE Maths Formula Flash Cards help with memorising the formulas for your GCSE Maths exams.

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