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GCSE · 7 min read

GCSE Maths formulas you need to memorise (and the ones you're given)

Every year students lose marks not because they cannot do the maths, but because they could not remember the formula that starts the question. Here is exactly what you have to know from memory.

By Joseph Eno ·

On current GCSE Maths papers only a short list of formulas is printed for you. Everything else is assumed knowledge, and a question that depends on a formula you have not learned is effectively unanswerable — no method marks, because there is no method.

What is given on the paper

The formula sheet introduced for GCSE Maths includes results such as the quadratic formula, the sine and cosine rules, the area of a triangle using ½ab sin C, and volumes of a sphere and cone. Check your board's current sheet, because the list has changed in recent years and revision guides printed before the change can be misleading.

What you must know from memory

High-frequency formulas that are not given
AreaYou must recall
NumberCompound interest and percentage multipliers, standard form rules
AlgebraDifference of two squares, expanding and factorising patterns
GeometryCircumference and area of a circle, Pythagoras, area of trapezium
TrigonometrySOHCAHTOA and the exact values for 0°, 30°, 45°, 60°, 90°
GraphsGradient, y = mx + c, and the shapes of quadratic, cubic and reciprocal graphs
Ratio and ratesSpeed, density and pressure relationships

A routine that actually makes them stick

  1. Write the full list once, by hand, on a single sheet.
  2. Every morning, reproduce the sheet from blank in under five minutes.
  3. Circle anything you missed and rewrite only those.
  4. Once a week, use each recalled formula in one exam question so recall is tied to use.

Reading a formula sheet does not create recall. Reproducing it from blank does, and it takes far less time than most students expect.

Tell me what your child is finding difficult.

No pressure and no sales call — just an honest conversation about whether I can help, and how.