Formula sheets
Given in the exam, 2026 and 2027
GCSE Maths formulae sheet
Every exam board prints the same formulae. The ones marked Higher tier only aren’t on the Foundation sheet.
Perimeter, area and volume
- Area of a trapezium½ (a + b) ha and b are the parallel sides, h is the perpendicular height between them
- Volume of a prismarea of cross section × length
- Circumference of a circle2πr = πdr is the radius, d is the diameter
- Area of a circleπr²
Pythagoras’ theorem and trigonometry
- Pythagoras’ theorema² + b² = c²in a right-angled triangle, c is the hypotenuse
- Trigonometrysin A = a⁄c cos A = b⁄c tan A = a⁄bin a right-angled triangle ABC, c is the hypotenuse and a is opposite angle A
- Sine rulea⁄sin A = b⁄sin B = c⁄sin Cin any triangle ABCHigher tier only
- Cosine rulea² = b² + c² − 2bc cos AHigher tier only
- Area of a triangle½ ab sin CHigher tier only
Quadratic formula
- The solutions of ax² + bx + c = 0 (a ≠ 0)x = (−b ± √(b² − 4ac)) ⁄ 2aHigher tier only
Compound interest
- Total accruedP (1 + r⁄100)ⁿP is the amount at the start, r is the interest rate for each period, n is the number of times it’s compounded
Probability
- P(A or B) = P(A) + P(B) − P(A and B)
- P(A and B) = P(A given B) × P(B)
Not on the sheet: learn these
- Areas of rectangles, triangles and parallelograms
- Speed, density and pressure
- y = mx + c and gradient
- Percentage change
- Interior angles: (n − 2) × 180°
- Spheres, cones and pyramids are given in the question
Questions people ask
- Do you get a formula sheet in GCSE Maths?
- Yes. For exams in 2025, 2026 and 2027, every GCSE Maths paper comes with a formulae sheet, for every exam board.
- Is the volume of a sphere on it?
- No. The volumes and surface areas of spheres, cones and pyramids are given in the question when you need them.