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Foundation

Foundation revision notes

Start here for core number fluency, accessible crossover skills, and GCSE questions that build method confidence.

Number and Place Value20 notes

Place value and ordering numbersFoundationGrades 1 to 43 exam questions Ordering decimalsFoundationGrades 1 to 43 exam questions Four operations with integersFoundationGrades 1 to 43 exam questions BIDMAS and order of operationsFoundationGrades 2 to 53 exam questions Negative numbersFoundationGrades 1 to 53 exam questions Standard formFoundation and HigherGrades 4 to 73 exam questions Index lawsFoundation and HigherGrades 4 to 83 exam questions Rounding, estimation, and bounds overviewFoundation and HigherGrades 3 to 73 exam questions Rounding to the nearest 10, 100, and 1000Foundation and HigherGrades 2 to 53 exam questions Rounding to decimal placesFoundation and HigherGrades 3 to 63 exam questions Rounding to significant figuresFoundation and HigherGrades 4 to 73 exam questions EstimationFoundation and HigherGrades 3 to 63 exam questions Bounds and error intervalsFoundation and HigherGrades 5 to 73 exam questions Fractions, decimals, and percentages overviewFoundation and HigherGrades 3 to 73 exam questions Simplifying and equivalent fractionsFoundation and HigherGrades 2 to 53 exam questions Fractions of amountsFoundation and HigherGrades 3 to 53 exam questions Converting fractions, decimals, and percentagesFoundation and HigherGrades 3 to 63 exam questions Percentages of amountsFoundation and HigherGrades 3 to 53 exam questions Percentage increase and decreaseFoundation and HigherGrades 4 to 63 exam questions Reverse percentagesFoundation and HigherGrades 5 to 73 exam questions

Algebra10 notes

Expanding and simplifying bracketsFoundation and HigherGrades 3 to 63 exam questions Solving linear equationsFoundation and HigherGrades 3 to 63 exam questions Factorising into a single bracketFoundation and HigherGrades 3 to 53 exam questions Factorising quadraticsFoundation and HigherGrades 4 to 73 exam questions Substitution into expressions and formulaeFoundation and HigherGrades 3 to 63 exam questions Linear sequences and the nth termFoundation and HigherGrades 4 to 63 exam questions Rearranging formulaeFoundation and HigherGrades 4 to 73 exam questions Solving linear inequalitiesFoundation and HigherGrades 4 to 63 exam questions Simultaneous equationsFoundation and HigherGrades 5 to 73 exam questions Straight-line graphsFoundation and HigherGrades 4 to 73 exam questions

Ratio, Proportion and Rates10 notes

Writing and simplifying ratiosFoundation and HigherGrades 3 to 53 exam questions Sharing in a ratioFoundation and HigherGrades 3 to 53 exam questions Finding missing amounts from a ratioFoundation and HigherGrades 4 to 63 exam questions Ratio as fractionsFoundation and HigherGrades 4 to 63 exam questions Best valueFoundation and HigherGrades 3 to 53 exam questions Recipes and scalingFoundation and HigherGrades 3 to 53 exam questions Currency conversionFoundation and HigherGrades 3 to 53 exam questions Direct proportionFoundation and HigherGrades 4 to 73 exam questions Inverse proportionFoundation and HigherGrades 5 to 83 exam questions Speed, density and pressureFoundation and HigherGrades 4 to 63 exam questions

Geometry and Measures18 notes

Angle factsFoundation and HigherGrades 2 to 53 exam questions Angles in parallel linesFoundation and HigherGrades 4 to 63 exam questions Interior and exterior anglesFoundation and HigherGrades 4 to 73 exam questions Perimeter and area of 2D shapesFoundation and HigherGrades 2 to 53 exam questions Compound areaFoundation and HigherGrades 4 to 63 exam questions Volume of cuboids and prismsFoundation and HigherGrades 3 to 63 exam questions Circumference and area of circlesFoundation and HigherGrades 4 to 63 exam questions Pythagoras' theoremFoundation and HigherGrades 4 to 76 exam questions Basic trigonometryFoundation and HigherGrades 5 to 73 exam questions TransformationsFoundation and HigherGrades 3 to 76 exam questions Constructions and lociFoundation and HigherGrades 4 to 73 exam questions BearingsFoundation and HigherGrades 4 to 73 exam questions Scale drawings and mapsFoundation and HigherGrades 3 to 63 exam questions Similar shapes and congruenceFoundation and HigherGrades 4 to 83 exam questions Surface area of 3D shapesFoundation and HigherGrades 4 to 73 exam questions Arcs and sectorsFoundation and HigherGrades 5 to 83 exam questions Plans and elevationsFoundation and HigherGrades 4 to 63 exam questions Vectors in geometryFoundation and HigherGrades 5 to 83 exam questions

Higher

Higher revision notes

Use these for crossover topics and Higher-only skills where method marks depend on precise working.

Number and Place Value16 notes

Standard formFoundation and HigherGrades 4 to 73 exam questions Index lawsFoundation and HigherGrades 4 to 83 exam questions Rounding, estimation, and bounds overviewFoundation and HigherGrades 3 to 73 exam questions Rounding to the nearest 10, 100, and 1000Foundation and HigherGrades 2 to 53 exam questions Rounding to decimal placesFoundation and HigherGrades 3 to 63 exam questions Rounding to significant figuresFoundation and HigherGrades 4 to 73 exam questions EstimationFoundation and HigherGrades 3 to 63 exam questions Bounds and error intervalsFoundation and HigherGrades 5 to 73 exam questions Fractions, decimals, and percentages overviewFoundation and HigherGrades 3 to 73 exam questions Simplifying and equivalent fractionsFoundation and HigherGrades 2 to 53 exam questions Fractions of amountsFoundation and HigherGrades 3 to 53 exam questions Converting fractions, decimals, and percentagesFoundation and HigherGrades 3 to 63 exam questions Percentages of amountsFoundation and HigherGrades 3 to 53 exam questions Percentage increase and decreaseFoundation and HigherGrades 4 to 63 exam questions Reverse percentagesFoundation and HigherGrades 5 to 73 exam questions Recurring decimals to fractionsHigherGrades 6 to 83 exam questions

Algebra11 notes

Expanding and simplifying bracketsFoundation and HigherGrades 3 to 63 exam questions Solving linear equationsFoundation and HigherGrades 3 to 63 exam questions Factorising into a single bracketFoundation and HigherGrades 3 to 53 exam questions Factorising quadraticsFoundation and HigherGrades 4 to 73 exam questions Substitution into expressions and formulaeFoundation and HigherGrades 3 to 63 exam questions Linear sequences and the nth termFoundation and HigherGrades 4 to 63 exam questions Rearranging formulaeFoundation and HigherGrades 4 to 73 exam questions Solving linear inequalitiesFoundation and HigherGrades 4 to 63 exam questions Simultaneous equationsFoundation and HigherGrades 5 to 73 exam questions Straight-line graphsFoundation and HigherGrades 4 to 73 exam questions Algebraic fractionsHigherGrades 6 to 83 exam questions

Ratio, Proportion and Rates10 notes

Writing and simplifying ratiosFoundation and HigherGrades 3 to 53 exam questions Sharing in a ratioFoundation and HigherGrades 3 to 53 exam questions Finding missing amounts from a ratioFoundation and HigherGrades 4 to 63 exam questions Ratio as fractionsFoundation and HigherGrades 4 to 63 exam questions Best valueFoundation and HigherGrades 3 to 53 exam questions Recipes and scalingFoundation and HigherGrades 3 to 53 exam questions Currency conversionFoundation and HigherGrades 3 to 53 exam questions Direct proportionFoundation and HigherGrades 4 to 73 exam questions Inverse proportionFoundation and HigherGrades 5 to 83 exam questions Speed, density and pressureFoundation and HigherGrades 4 to 63 exam questions

Geometry and Measures24 notes

Angle factsFoundation and HigherGrades 2 to 53 exam questions Angles in parallel linesFoundation and HigherGrades 4 to 63 exam questions Interior and exterior anglesFoundation and HigherGrades 4 to 73 exam questions Perimeter and area of 2D shapesFoundation and HigherGrades 2 to 53 exam questions Compound areaFoundation and HigherGrades 4 to 63 exam questions Volume of cuboids and prismsFoundation and HigherGrades 3 to 63 exam questions Circumference and area of circlesFoundation and HigherGrades 4 to 63 exam questions Pythagoras' theoremFoundation and HigherGrades 4 to 76 exam questions Basic trigonometryFoundation and HigherGrades 5 to 73 exam questions TransformationsFoundation and HigherGrades 3 to 76 exam questions Constructions and lociFoundation and HigherGrades 4 to 73 exam questions BearingsFoundation and HigherGrades 4 to 73 exam questions Scale drawings and mapsFoundation and HigherGrades 3 to 63 exam questions Similar shapes and congruenceFoundation and HigherGrades 4 to 83 exam questions Surface area of 3D shapesFoundation and HigherGrades 4 to 73 exam questions Arcs and sectorsFoundation and HigherGrades 5 to 83 exam questions Plans and elevationsFoundation and HigherGrades 4 to 63 exam questions Vectors in geometryFoundation and HigherGrades 5 to 83 exam questions Circle theoremsHigherGrades 6 to 93 exam questions Sine rule, cosine rule and triangle areaHigherGrades 6 to 93 exam questions 3D Pythagoras and trigonometryHigherGrades 6 to 93 exam questions Vector ratios and proofHigherGrades 7 to 93 exam questions Cones, spheres, pyramids and frustumsHigherGrades 6 to 93 exam questions Circle equations and tangentsHigherGrades 7 to 93 exam questions

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