Mathematics
National 5
Mathematics
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View topicsNational 5 Mathematics is the key Scottish qualification for progression to Higher and for most college and employment routes. It is examined in two SQA papers (one non-calculator, one calculator) covering Expressions and Formulae, Relationships, and Applications.
The course demands genuine algebraic fluency: factorising, completing the square, solving quadratic equations, simultaneous equations, and changing the subject of a formula. Trigonometry extends to the sine and cosine rules and the area of a triangle, and statistics introduces standard deviation.
The non-calculator paper is where marks are most often lost. Regular timed practice on surds, indices and algebraic manipulation, with a tutor correcting method rather than just answers, changes results more than anything else.
Important Topics
- Expressions & FormulaeSurds, indices, expanding brackets, factorising and algebraic fractions.
- QuadraticsSolving quadratic equations by factorising, formula and completing the square.
- Relationships & GraphsStraight line equations, gradient, simultaneous equations and graph sketching.
- TrigonometryRight-angled triangles, sine and cosine rules, area of a triangle and trig graphs.
- Geometry & MeasureArcs, sectors, volume of solids, similarity and vectors.
- Applications & PercentagesCompound interest, appreciation, depreciation and reverse percentages.
- StatisticsStandard deviation, quartiles, scatter graphs and lines of best fit.
Ready To Strengthen Your Child's Learning?
Book a free Mathematics demo class for National 5.