A list of all the formulae needed for your GCSE maths exam. The formulae are so simplified that it will be easier for you to pass GCSE maths exam if you master them.
If you are entered for Foundation tier then you must know all the formulae marked ‘F’. Higher tier students must learn the whole list!
FormulaTier?How to use the formula in words:In Algebra:Area of a RectangleFMultiply the length by the width.A=L×W Area of a TraingleFMultiply the base by the perpendicular height and divide by two.A=12bh Area of a ParallelogramFMultiply the base by the height.A=b×h Area of a TrapeziumFAdd together the parallel sides and multiply by the height. Divide your answer by two.A=12(a+b)h Area of a CircleFSquare the radius and multiply by pi.A=πr2 Circumference of a CirleFDouble the radius and multiply by pi or multiply the diameter by pi.C=2πr or C=πd Volume of a CuboidFMultiply the length by the width by the height.V=lwh Volume of a PrismFMultiply the cross sectional area of the prism by its length.n/a Volume of a SphereHCube the radius and multiply by pi. Multiply your answer by four then divide by three.V=43πr3 Surface Area of a SphereHSquare the radius and multiply by pi. Multiply your answer by four.A=4πr2 Volume of a ConeHSquare the base radius of the cone and multiply by pi. Multiply your answer by the perpendicular height. Divide your answer by three.V=13πr2h Curved Surface Area of a ConeHMultiply the base radius of the cone by pi. Multiply your answer by the length of the side of the cone.A=πrl Volume of a PyramidHMultiply the area of the base by the perpendicular height. Divide your answer by three.n/aSine RuleHn/aaSinA=bSinB=cSinCCosine RuleHn/aa2=b2+c2−2bcCosAArea of any TriangleHn/a12abSinC Quadratic EquationHn/ax=−b±b2−4ac√2a