A-Level Maths Formula Sheet
Built by Pietro Meloni, PhD in Physics · 10+ Years Teaching IGCSE
Edexcel / AQA / OCR · 11 formulas · 3 sections
The complete set of A-Level Mathematics formulas across pure maths, mechanics, and statistics. Some are given in the exam formula booklet; others must be memorised.
Each formula is explained with context on when to use it and common exam pitfalls.
Pure Mathematics
Quadratic formula
…Given in the formula booklet. The discriminant determines the number and nature of roots.
Laws of logarithms
…Product rule for logs. Also: log(x/y) = log x − log y, and log(xⁿ) = n log x.
Differentiation (chain rule)
…For composite functions. Essential for differentiating expressions like (3x + 1)⁵ or sin(2x).
Integration by parts
…Use LIATE to choose u: Logarithmic, Inverse trig, Algebraic, Trig, Exponential.
Binomial expansion
…Valid for |x| < 1 when n is not a positive integer. Given in the formula booklet.
Statistics
Mean of discrete data
…Weighted mean for frequency distributions. For grouped data, use class midpoints.
Normal distribution
…68% of data falls within 1σ of the mean, 95% within 2σ, 99.7% within 3σ.
Binomial probability
…For n independent trials each with probability p of success. Use your calculator for large n.
Mechanics
SUVAT
…One of five SUVAT equations. This one is useful when time is not given or required.
Newton's second law
…Resolve forces into components along and perpendicular to the direction of motion.
Moments
…Moment of a force about a point = force × perpendicular distance from the pivot.
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IGCSE
IB
A-Level
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