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)
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| Topic | Spec | Notes and tools | How sure |
|---|---|---|---|
| Place value, rounding and bounds | Numerical skills: significant figures | Rounding, error intervals and boundsPrime factors, HCF and LCM Scientific Calculator | |
| Fractions, decimals and percentages | Numerical skills: fractions, percentages, appreciation and depreciation | FractionsPercentages Fractions and PercentagesScientific Calculator | |
| Powers, roots and standard form | Numerical skills: indices, scientific notation | The laws of indicesStandard form Scientific Calculator | |
| Surds | Numerical skills: surds | Surds Scientific CalculatorEquation Solver | |
| Algebraic expressions | Algebraic skills: expanding, factorising, algebraic fractions | Scientific CalculatorEquation Solver | |
| Linear equations and inequalities | Algebraic skills: linear equations and inequations | InequalitiesSolving linear equations Equation SolverGraphing Calculator | |
| Formulae and rearranging | Algebraic skills: changing the subject of a formula | Substituting and rearranging formulae Scientific Calculator | |
| Straight-line graphs | Algebraic skills: the equation of a straight line | Straight-line graphs: y = mx + c Graphing CalculatorStraight lines: y = mx + c | |
| Quadratics | Algebraic skills: completing the square, quadratic functions and equations, the discriminant | Expanding and factorisingSolving quadratic equations Graphing CalculatorEquation Solver | |
| Simultaneous equations | Algebraic skills: simultaneous linear equations | Simultaneous equations Equation SolverStraight lines: y = mx + cGraphing Calculator | |
| Functions and graph transformations | Algebraic skills: functional notation, quadratic graphs | Functions: composite and inverse Graphing CalculatorGraph transformationsUnit Circle | |
| Ratio and proportion | Numerical skills: direct and inverse variation | Ratio Unit ConverterFractions and PercentagesGraphing Calculator | |
| Angles, polygons and parallel lines | Geometric skills: angles in shapes | Angles and parallel linesAngle facts and angles in polygons Graphing CalculatorScientific Calculator | |
| Constructions, loci and bearings | Trigonometric skills: bearings | Bearings Graphing Calculator | |
| Area, perimeter and volume | Geometric skills: volumes of solids, arcs and sectors | Area and perimeterCircles: area, circumference, arcs and sectors Scientific Calculator | |
| Pythagoras and trigonometry | Geometric skills: Pythagoras; Trigonometric skills: area of a triangle, sine and cosine rules, bearings | Pythagoras' theorem and trigonometry Unit CircleScientific Calculator | |
| Circles and circle theorems | Geometric skills: arcs, sectors and circle properties | Circle theorems Circle theoremsGraphing Calculator | |
| Transformations, congruence and similarity | Geometric skills: similarity | Transformations Graph transformations | |
| Vectors | Geometric skills: vectors in two and three dimensions | Vectors | |
| Statistics and charts | Statistical skills: standard deviation, semi-interquartile range, scattergraphs | Averages and frequency tables Statistics Calculator |
Official Qualifications Scotland (SQA) National 5 pages
- Past papers and mark schemes (opens a new tab)
- Grade boundaries (opens a new tab)
- Exam timetables (opens a new tab)
Search for C847 75 on the board's page to find this course.
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