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National 5 Mathematics (C847 75)

Every topic with its Qualifications Scotland (SQA) National 5 reference, and free notes and tools to revise it.

We made this map from the board's own specification. Our topics follow the GCSE and A-level courses, so where a board groups content differently, one reference can cover more than one topic. National 5 groups the course by skill, not by numbered topics. Specification (PDF) (opens a new tab)

TopicSpecNotes and tools
Place value, rounding and boundsNumerical skills: significant figures Rounding, error intervals and boundsPrime factors, HCF and LCMPlace value, rounding and bounds: lessons and questions Scientific calculator
Fractions, decimals and percentagesNumerical skills: fractions, percentages, appreciation and depreciation FractionsPercentagesFractions, decimals and percentages: lessons and questions Fractions and percentagesScientific calculator
Powers, roots and standard formNumerical skills: indices, scientific notation The laws of indicesStandard formPowers, roots and standard form: lessons and questions Scientific calculator
SurdsNumerical skills: surds SurdsSurds: lessons and questions Scientific calculatorEquation solver
Algebraic expressionsAlgebraic skills: expanding, factorising, algebraic fractions Scientific calculatorEquation solver
15 topics
TopicSpecNotes and tools
Linear equations and inequalitiesAlgebraic skills: linear equations and inequations InequalitiesSolving linear equationsLinear equations and inequalities: lessons and questions Equation solverGraphing calculator
Formulae and rearrangingAlgebraic skills: changing the subject of a formula Substituting and rearranging formulaeFormulae and rearranging: lessons and questions Scientific calculator
Straight-line graphsAlgebraic skills: the equation of a straight line Straight-line graphs: y = mx + cStraight-line graphs: lessons and questions Graphing calculatorStraight lines: y = mx + c
QuadraticsAlgebraic skills: completing the square, quadratic functions and equations, the discriminant Expanding and factorisingSolving quadratic equationsQuadratics: lessons and questions Graphing calculatorEquation solver
Simultaneous equationsAlgebraic skills: simultaneous linear equations Simultaneous equationsSimultaneous equations: lessons and questions Equation solverStraight lines: y = mx + cGraphing calculator
Functions and graph transformationsAlgebraic skills: functional notation, quadratic graphs Functions: composite and inverseFunctions and graph transformations: lessons and questions Graphing calculatorGraph transformationsUnit circle
Ratio and proportionNumerical skills: direct and inverse variation RatioRatio and proportion: lessons and questions Unit converterFractions and percentagesGraphing calculator
Angles, polygons and parallel linesGeometric skills: angles in shapes Angles and parallel linesAngle facts and angles in polygonsAngles, polygons and parallel lines: lessons and questions Graphing calculatorScientific calculator
Constructions, loci and bearingsTrigonometric skills: bearings BearingsConstructions, loci and bearings: lessons and questions Graphing calculator
Area, perimeter and volumeGeometric skills: volumes of solids, arcs and sectors Area and perimeterCircles: area, circumference, arcs and sectorsArea, perimeter and volume: lessons and questions Scientific calculator
Pythagoras and trigonometryGeometric skills: Pythagoras; Trigonometric skills: area of a triangle, sine and cosine rules, bearings Pythagoras' theorem and trigonometryPythagoras and trigonometry: lessons and questions Unit circleScientific calculator
Circles and circle theoremsGeometric skills: arcs, sectors and circle properties Circle theoremsCircles and circle theorems: lessons and questions Circle theoremsGraphing calculator
Transformations, congruence and similarityGeometric skills: similarity TransformationsTransformations, congruence and similarity: lessons and questions Graph transformations
VectorsGeometric skills: vectors in two and three dimensions VectorsVectors: lessons and questions
Statistics and chartsStatistical skills: standard deviation, semi-interquartile range, scattergraphs Averages and frequency tablesStatistics and charts: lessons and questions Statistics calculator

Official Qualifications Scotland (SQA) National 5 pages

Search for C847 75 on the board's page to find this course.

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