Rumi School of Innovative Sciences (RSIS)

Mathematics

National 5

National 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.

Curriculum Breakdown

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.