GCSE Higher Maths, explained clearly.
Build the method first, then practise it. These public GradeRealm guides explain high-value GCSE Maths skills in small steps before you move into the full interactive learning system.
Start with a core skill
Simultaneous Equations
Solve two equations together using elimination and substitution.
Open guide →AlgebraInequalities
Solve and represent inequalities, including the sign-reversal rule.
Open guide →GraphsStraight-Line Graphs
Use y = mx + c to understand gradient, intercepts and equations of lines.
Open guide →NumberRecurring Decimals
Convert recurring decimals to exact fractions using algebra.
Open guide →GeometryPythagoras
Find missing lengths in right-angled triangles using a² + b² = c².
Open guide →TrigonometrySOHCAHTOA
Choose sine, cosine or tangent for right-angled triangle problems.
Open guide →TrigonometrySine Rule
Solve non-right-angled triangles using opposite side-angle pairs.
Open guide →TrigonometryCosine Rule
Use the cosine rule for SAS and SSS non-right-angled triangles.
Open guide →NumberSurds
Simplify roots and keep exact values without unnecessary decimal approximations.
Open guide →Ratio & ProportionReverse Percentages
Work backwards from a percentage change to find the original amount.
Open guide →How GradeRealm approaches maths
The goal is not to memorise isolated answers. GradeRealm breaks a topic into a relationship you can see, a method you can repeat, a check you can perform and then enough varied practice to make the method reliable under exam conditions.