Mr & Mrs Maths
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GCSE skills map

Click a GCSE specification reference to see what pupils need first and where it leads.

F H+Higher goes further HHigher only No tag: same at Foundation and Higher
Download the skills map (PDF)

Number

N1Ordering numbers and inequality symbolsN2Four operations and place valueN3Inverse operations and order of operationsN4Primes, factors, multiples, HCF and LCMN5Systematic listing and the product ruleF H+N6Powers and rootsF H+N7Roots and integer and fractional indicesF H+N8Exact calculation: fractions, surds and πF H+N9Standard formN10Fractions and recurring decimalsF H+N11Fractions in ratio problemsN12Fractions and percentages as operatorsN13Standard and compound unitsN14Estimation and checking answersN15Rounding and error intervalsN16Upper and lower boundsF H+

Probability

P1Frequency tables and frequency treesP2Expected outcomesP3Relative frequency and the probability scaleP4Probabilities sum to 1P5Sample size and theoretical probabilityP6Sets, Venn diagrams and tree diagramsP7Sample spacesP8Independent and dependent eventsP9Conditional probabilityH

Algebra

A1Algebraic notationA2SubstitutionA3Expressions, equations, formulae and identitiesA4Simplifying, expanding and factorisingF H+A5Using and rearranging formulaeA6Identities and algebraic proofF H+A7Functions, inverse and composite functionsF H+A8Coordinates in all four quadrantsA9Straight-line graphs and y = mx + cF H+A10Gradients and interceptsA11Roots and turning points of quadraticsF H+A12Recognising and sketching graphsF H+A13Translations and reflections of graphsHA14Real-life graphsF H+A15Gradients and areas under graphsHA16Equation of a circle and tangentsHA17Linear equationsA18Quadratic equationsF H+A19Simultaneous equationsF H+A20IterationHA21Forming and solving equationsA22InequalitiesF H+A23Term-to-term and position-to-term rulesA24Special sequencesF H+A25nth term of linear and quadratic sequencesF H+

Ratio & proportion

R1Converting units and compound unitsR2Scale factors, scale diagrams and mapsR3One quantity as a fraction of anotherR4Ratio notation and simplifyingR5Sharing in a ratio and ratio problemsR6Ratios and fractionsR7Proportion as equality of ratiosR8Ratios, fractions and linear functionsR9Percentages and percentage changeR10Direct and inverse proportionR11Speed, density, pressure and unit pricingR12Comparing lengths, areas and volumesR13Proportion equationsF H+R14Gradient as rate of changeR15Average and instantaneous rates of changeHR16Growth, decay and compound interestF H+

Statistics

S1Sampling and populationsS2Tables, charts and time seriesS3Histograms and cumulative frequencyHS4Averages, spread and box plotsF H+S5Describing a populationS6Scatter graphs and correlation

Geometry & measures

G1Geometric notation and conventionsG2Constructions and lociG3Angle facts, parallel lines and polygonsG4Properties of quadrilaterals and trianglesG5Congruence criteria for trianglesG6Geometric proof, including PythagorasG7Congruent and similar shapesF H+G8Combining transformationsHG9Circle definitions and propertiesG10Circle theoremsHG11Geometry on coordinate axesG12Properties of 3-D shapesG13Plans and elevationsG14Standard units of measureG15Measuring, scale drawings and bearingsG16Area of 2-D shapes and volume of prismsG17Circles, surface area and volumeG18Arcs and sectorsG19Similar shapes: lengths, areas and volumesF H+G20Pythagoras and trigonometryF H+G21Exact trigonometric valuesG22Sine rule and cosine ruleHG23Area of a triangle: ½ab sin CHG24Translations as vectorsG25Vectors and vector proofF H+