Maths Genie

GCSE Revision

This page is for the 1-9 GCSE with first assessment in 2017.
Topics arranged by grade
The A*-E 2016 Specification

Foundation


Number

Topic Example(s) Exam Questions Solutions
Addition and Subtraction Revision Addition and Subtraction
Solutions
Multiplication and Division Revision Multiplication and Division
Solutions
Rounding Revision
Estimating Revision
Powers and Roots Revision Powers and Square Roots
Solutions
Factors and Multiples Revision Factors, Multiples and Primes
Solutions
Fractions, Deciamls and Percentages Revision Fractions, Decimals and Percentages
Solutions
Negative Numbers Revision Negative Numbers
Solutions
BIDMAS Revision BIDMAS
Solutions
Fractions Revision Fractions
Solutions

Algebra

Topic Example(s) Exam Questions Solutions
Simplifying Algebra Revision Collecting Like Terms
Solutions
Substitution Revision Substitution
Solutions
Solving Equations Revision
Solving Equations with an Unknown on Both Sides Revision Solving Equations Solutions
Drawing Graphs Revision Drawing Graphs
Solutions

Ratio, proportion and rates of change

Topic Example(s) Exam Questions Solutions
Fractions of an Amount Revision Fractions of an Amount
Solutions
Writing and Simplifying Ratio Revision
Ratio Revision Ratio
Solutions
Writing a Ratio as a Fraction or Linear Function Revision
Proportion Revision Proportion Ingredients Questions
Solutions
Percentages Revision Percentages
Solutions
Percentage Change Revision
Exchange Rates Revision Exchange Rates
Solutions
Best Buy Questions Revision Best Buys
Solutions

Geometry and measures

Topic Example(s) Exam Questions Solutions
Angles Revision Angles
Solutions
Area Revision Perimeter, Area and Volume
Solutions
Perimeter Revision
Area of a Trapezium Revision
Area and Circumference of Circles Revision Cirlces
Solutions
Transformations Revision Rotations
Reflections
Enlargements
Translations
Mixed Transformations
Rotations Solutions
Reflections Solutions
Enlargements Solutions
Translations Solutions
Mixed Transformations Solutions
Area of Compound Shapes Revision Area of Compound Shapes
Solutions

Probability

Topic Example(s) Exam Questions Solutions
Probability Revision Probability
Solutions
Two Way Tables Revision

Statistics

Topic Example(s) Exam Questions Solutions
Averages Revision Mean, Median, Mode and Range
Solutions
Frequency Polygons Revision Frequency Polygons
Solutions
Stem and Leaf Revision Stem and Leaf
Solutions
Pie Charts Pie Charts
Solutions

Foundation and Higher


Number

Topic Example(s) Exam Questions Solutions
Indices Revision Indices
Solutions
HCF and LCM Revision HCF, LCM
Solutions
Standard Form Revision Standard Form
Solutions

Algebra

Topic Example(s) Exam Questions Solutions
Inequalities Revision Inequalities
Solutions
Forming and Solving Equations Revision Forming and Solving Equations
Solutions
Types of Sequences Revision
Generating Sequences Revision
Sequences (Nth Term) Revision Sequences (nth term)
Solutions
Expanding and Factorising Revision Expand and Factorise
Solutions
Changing the Subject of a Formula Revision Changing the Subject of a Formula
Solutions
Expanding and Factorising Quadratics Revision Expanding and Factorising Quadratics
Solutions
Solving Quadratics Revision Solving Quadratics
Solutions
Drawing Quadratic Graphs Revision Drawing Quadratic Graphs
Solutions
Drawing Other Graphs: Cubic/Reciprocal Revision Cubic/Reciprocal Graphs Solutions
Simultaneous Equations Revision Simultaneous Equations
Solutions
Solving Simultaneous Equations Graphically Revision Solving Simulatneous Equations Graphically
Solutions
Midpoint of a Line Segment Revision
Gradient of a Line Revision
Equation of a Line Revision Equation of a Line Solutions

Ratio, proportion and rates of change

Topic Example(s) Exam Questions Solutions
Compound Interest and Depreciation Revision Compound Interest and Depreciation
Solutions
Reverse Percentages Revision Reverse Percentages
Solutions
Speed and Density Revision Speed and Density
Solutions

Geometry and measures

Topic Example(s) Exam Questions Solutions
Pythagoras Revision Pythagoras
Solutions
Angle Problems Revision Angles
Solutions
Angles in Parallel Lines Revision Angles in Parallel Lines
Solutions
Angles in Polygons Revision Angles in Polygons
Solutions
Surface Area Revision Surface Area
Solutions
Volume of Prisms Revision Volume of Prisms
Solutions
Cylinders Revision Volume and Surface Area of Cylinders
Solutions
Spheres and Cones Revision Spheres and Cones
Solutions
Functional Maths Questions Functional Questions
Solutions
Loci and Construction Revision Loci and Construction
Solutions
Bearings Revision Bearings
Solutions
Sector Areas and Arc Lengths Revision Sectors and Arcs
Solutions
Similar Shapes (Lengths) Revision Similar Shapes (Lengths) Solutions
SOHCAHTOA Revision SOHCAHTOA
Solutions
Exact trig values Revision
Congruent Triangles Revision Congruent Triangles
Solutions

Probability

Topic Example(s) Exam Questions Solutions
Probability Revision Probability
Solutions
Probability Trees Revision Probability Trees Solutions
Venn Diagrams Revision Venn Diagrams Solutions

Statistics

Topic Example(s) Exam Questions Solutions
Averages from Frequency Tables Revision Averages from Frequency Tables
Solutions
Scatter Graphs Revision Scatter Graphs
Solutions

Higher


Number

Topic Example(s) Exam Questions Solutions
Recurring Decimals to Fractions Revision Converting Recurring Decimals to Fractions
Solutions
Fractional and Negative Indices Revision Fractional and Negative Indices
Solutions
Surds Revision Surds
Solutions
Bounds Revision Bounds
Solutions

Algebra

Topic Example(s) Exam Questions Solutions
Inequalities on Graphs Revision Inequalities on Graphs
Solutions
Quadratic Formula Revision Quadratic Formula
Solutions
Factorising Harder Quadratics Revision
Algebric Fractions Revision Algebraic Fractions
Solutions
Rearranging Harder Formulae Revision Rearranging Harder Formulae
Solutions
The Nth Term of a Quadratic Sequence Revision Quadratic Sequences Solutions
Inverse and Composite Functions Revision Inverse and Composite Functions Solutions
Solving Equations using Iteration Revision Solving Equations using Iteration Solutions
Simultaneous Equations with a Quadratic Revision Simulataneous Equations with a Quadratic
Solutions
Transforming Graphs y=f(x) Revision Transforming Graphs y=f(x)
Solutions
Proof Revision Proof
Solutions
Completing the Square Revision Completing the Square
Solutions
Quadratic Inequalities Revision Quadratic Inequalities Solutions
Harder Graphs: Trig/Exponential Revision Harder Graphs: Trig/Exponential Solutions
Velocity Time Graphs Revision Velocity Time Graphs Solutions
Parallel and Perpendicular Lines Revision
Length of a Line Revision
Perpendicular Lines and the equation of a tangent Revision Perpendicular Lines Solutions

Ratio, proportion and rates of change

Topic Example(s) Exam Questions Solutions
Direct and Inverse Proportion Revision Direct and Inverse Proportion
Solutions

Geometry and measures

Topic Example(s) Exam Questions Solutions
Similar Shapes (Area and Volume) Revision Similar Shapes (Area and Volume) Solutions
Enlarging with Negative Scale Factors Enlarging with Negative Scale Factors
Solutions
Circle Theorems Revision Circle Theorems
Solutions
Sine Rule, Cosine Rule, Area of Any Triangle Revision Sine Rule, Cosine Rule, Area of Any Triangle
Solutions
3d Pythagoras Revision 3d Pythagoras
Solutions
Vectors Revision Vectors
Solutions
Proof of the Circle Theorems Revision Proof of the Circle Theorems Solutions

Probability

Topic Example(s) Exam Questions Solutions
Venn Diagrams ("Given that" questions) Revision Venn Diagrams Solutions

Statistics

Topic Example(s) Exam Questions Solutions
Cumulative Frequency and Box Plots Revision Cumulative Frequency and Box Plots
Solutions
Histograms Revision Histograms
Solutions