← Maths syllabus

Northern IrelandMaths

Algebra

7 dot points across 7 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you simplify, expand, factorise and rearrange algebraic expressions?

Collect like terms, substitute into expressions and formulae, expand single and double brackets, factorise into single brackets and quadratics, simplify algebraic fractions and change the subject of a formula.
A CCEA GCSE Mathematics answer on algebraic manipulation, covering collecting like terms, substitution, expanding single and double brackets, factorising into single brackets and quadratics, simplifying algebraic fractions, and changing the subject of a formula.
11 min answer →

How do you recognise, plot and interpret quadratic, cubic, reciprocal and other graphs?

Plot and recognise quadratic, cubic, reciprocal and exponential graphs, read roots and turning points, use graphs to solve equations, and recognise the equation of a circle and real-life graphs (Higher tier for non-linear).
A CCEA GCSE Mathematics answer on graphs and functions, covering quadratic cubic reciprocal and exponential graphs, reading roots and turning points, solving equations graphically, the equation of a circle, and interpreting real-life graphs.
11 min answer →

How do you solve linear equations and inequalities and represent the solutions?

Solve linear equations including those with brackets, fractions and the unknown on both sides, form equations from contexts, and solve and represent linear inequalities on a number line.
A CCEA GCSE Mathematics answer on linear equations and inequalities, covering solving equations with brackets fractions and the unknown on both sides, forming equations from word problems, and solving and representing inequalities on a number line.
10 min answer →

How do you solve quadratic equations by factorising, the formula and completing the square?

Solve quadratic equations by factorising, by the quadratic formula and by completing the square, and form and solve quadratics from problems (Higher tier for formula and completing the square).
A CCEA GCSE Mathematics answer on quadratic equations, covering solving by factorising, the quadratic formula and completing the square, and forming and solving quadratics from worded and geometric problems.
11 min answer →

How do you continue a sequence and find the nth term of linear and quadratic sequences?

Continue sequences using a term-to-term rule, find and use the nth term of a linear sequence, recognise quadratic and special sequences, and find the nth term of a quadratic sequence (Higher tier).
A CCEA GCSE Mathematics answer on sequences, covering term-to-term rules, finding and using the nth term of a linear sequence, recognising special sequences, and finding the nth term of a quadratic sequence using second differences.
10 min answer →

How do you solve two simultaneous equations by elimination, substitution and graphically?

Solve a pair of linear simultaneous equations by elimination and substitution, solve a linear and a quadratic simultaneously, and interpret the solution as the intersection of two graphs (Higher tier for non-linear).
A CCEA GCSE Mathematics answer on simultaneous equations, covering elimination and substitution for two linear equations, solving a linear and a quadratic together, and the graphical interpretation as the point of intersection.
11 min answer →

How do you find and use the equation of a straight line, including gradient and intercept?

Plot and recognise straight-line graphs, find the gradient and y-intercept, use $y = mx + c$ , find the equation of a line through given points, and use parallel and perpendicular gradient conditions.
A CCEA GCSE Mathematics answer on straight line graphs, covering plotting lines, finding the gradient and y-intercept, the equation y = mx + c, finding the equation through given points, and the conditions for parallel and perpendicular lines.
11 min answer →