Topic Checklist
GCSE Maths
Last Updated on 11th Aug 2025
The table below contains GCSE Maths higher and foundation topics lists. Use the checkboxes to track your progress as you revise each topic.
Grade 1 - 16 topics
Number
- Place Value
- Ordering Integers
- Ordering Decimals
- Reading Scales
- Simple Mathematical Notation
- Interpreting Real-Life Tables
Algebra
- Introduction to Algebraic Conventions
- Coordinates
Geometry & Measures
- Simple Geometric Definitions
- Polygons
- Symmetries
- Tessellations and Congruency
- Names of Angles
Probability & Statistics
- The Probability Scale
- Tally Charts and Bar Charts
- Pictograms
Grade 2 - 51 topics
Number
- Adding Integers and Decimals
- Subtracting Integers and Decimals
- Four Rules of Negatives
- Multiplying Integers
- Dividing Integers
- Inverse Operations
- Money Questions
- Negatives in Real Life
- Introduction to Fractions
- Equivalent Fractions
- Simplifying Fractions
- Half-Way Values
- Factors, Multiples and Primes
- Multiplying and Dividing by Powers of 10
- Rounding to the Nearest 10, 100, 1000
- Rounding to Decimal places
- Index Notation
Algebra
- Algebra - Addition and Subtraction
- Index Notation (Algebra)
- Algebra - Multiplication
- Algebra - Division
- Function Machines
- Generating a Sequence - Term to Term
Ratio, Proportion, Rate of Change
- Introduction to Ratio
- Using Ratio for Recipe Questions
- Introduction to Percentages
- Value for Money
- Introduction to Proportion
Geometry & Measures
- Properties of Solids
- Nets
- Angles on a Line and at a Point
- Measuring and drawing Angles
- Drawing a Triangle Using a Protractor
- Reflections
- Rotations
- Translations
- Plans and Elevations
- Perimeters
- Area of a Rectangle
- Area of a Triangle
- Area of a Parallelogram
- Area of a Trapezium
Probability & Statistics
- Frequency Trees
- Listing Outcomes
- Calculating Probabilities
- Mutually Exclusive Events
- Two-Way Tables
- Averages and the Range
- Data - Discrete and Continuous
- Vertical Line Charts
- Frequency Tables and Diagrams
Grade 3 - 61 topics
Number
- Multiplying Decimals
- Dividing Decimals
- Listing Strategies
- Ordering Fractions
- Adding and Subtracting Fractions
- Finding a Fraction of an Amount
- Multiplying Fractions
- Dividing Fractions
- BODMAS/BIDMAS
- Reciprocals
- Calculator Questions
- Product of Primes
- Highest Common Factor (HCF)
- Lowest Common Multiple (LCM)
- Squares, Cubes and Roots
- Standard Form
- Fractions, Percentages, Decimals
- Percentage of an Amount
- Change to a Percentage
- Rounding to Significant Figures
- Estimating Answers
- Using Place Value
Algebra
- Expanding Single Brackets
- Expanding and Simplifying - Single Brackets
- Expanding and Simplifying - Double Brackets
- Simple Factorisation
- Substitution
- Drawing Straight Line Graphs
- The Gradient of a Line
- Drawing Quadratic Graphs
- Sketching Functions
- Solving Equations
- Subject of a Formula
- nth Term of a Sequence (Linear)
- Special Sequences
Ratio, Proportion, Rate of Change
- Exchanging Money
- Sharing using Ratio
- Ratios, Fractions and Graphs
- Increase/Decrease by a Percentage
- Percentage Change
- Reverse Percentage Problems
- Simple Interest
Geometry & Measures
- Metric conversions
- Problems on Coordinate Axes
- Surface Area of a Prism
- Circle Definitions
- Area of a Circle
- Circumference of a Circle
- Volume of a Prism
- Angles and Parallel Lines
- Angles in a Triangle
- Angles in Polygons
- Bearings
Probability & Statistics
- Experimental Probabilities
- Possibility Spaces
- Venn Diagrams - Introduction
- Pie Charts
- Stem and Leaf Diagrams
- Scatter Diagrams
- Averages from Frequency table
- Estimate for the mean
Grade 4 - 27 topics
Number
- Index Notation
- Introduction to Bounds
Algebra
- Index Notation (Algebra)
- Midpoint of a Line
- Expanding Single Brackets
- Expanding and Simplifying - Single Brackets
- Expanding and Simplifying - Double Brackets
- Solving Equations
- Subject of a Formula
- Forming Formulae and Equations
- Inequalities on a Number Line
- Solve Linear Inequalities
- Simultaneous Equations Graphically
- Fibonacci Sequences
Ratio, Proportion, Rate of Change
- Compound Units
- Distance-Time Graphs
- Similar Shapes
Geometry & Measures
- Constructing Perpendiculars
- Bisecting an Angle
- Loci
- Draw a Triangle Using Compasses
- Enlargements
- Tangents, Arcs, Sectors and Segments
- Pythagoras' Theorem
Probability & Statistics
- Simple Tree Diagrams
- Sampling Populations
- Time Series
Grade 5 - 23 topics
Number
- Negative Indices
- Error Intervals
- Mathematical Reasoning
Algebra
- Factorising and Solving Quadratics
- The Difference of Two Squares
- Finding the Equation of a Straight Line
- Roots and Turning Points of Quadratics
- Cubic and Reciprocal Graphs
- Simultaneous Equations Algebraically
- Geometric Progressions
Ratio, Proportion, Rate of Change
- Compound Interest and Depreciation
- Ratio Questions
Geometry & Measures
- Congruent triangles
- Sectors of a Circle
- Trigonometry
- Spheres
- Pyramids
- Cones
- Frustums
- Exact Trigonometric Values
- Introduction to Vectors
Probability & Statistics
- Harder Tree Diagrams
- Stratified sampling
Grade 6 - 11 topics
Number
- Recurring Decimals to Fractions
Algebra
- Product of Three Binomials
- Iteration - Trial and Improvement
- Iterative Processes
Geometry & Measures
- Enlargement - Negative Scale Factor
- Combinations of Transformations
- Circle Theorems
- Proof of Circle Theorems
Probability & Statistics
- Probability using Venn Diagrams
- Cumulative Frequency
- Boxplots
Grade 7 - 19 topics
Number
- Fractional Indices
- Recurring Decimals - Proof
Algebra
- Rearranging difficult Formulae
- Solving Quadratics with the Formula
- Factorising Hard Quadratics
- Algebraic Proof
- Exponential Functions
- Trigonometric Graphs
- Transformation of Functions
- Equation of a Circle
Ratio, Proportion, Rate of Change
- Regions
- Direct and Inverse Proportion
- Ratio Questions
Geometry & Measures
- Similarity - Area and Volume
- The Sine Rule
- The Cosine Rule
- Area of a Triangle Using Sine
Probability & Statistics
- And and Or Probability Questions
- Histograms
Grade 8/9 - 14 topics
Number
- Upper and Lower Bounds
- Surds
Algebra
- Perpendicular Lines
- Completing the Square
- Algebraic Fractions
- Simultaneous Equations with a Quadratic
- Solve Quadratic Inequalities
- Finding the nth Term of a Quadratic
- Inverse Functions
- Composite Functions
- Interpreting Graphs
Geometry & Measures
- Pythagoras in 3D
- Trigonometry in 3D
- Vectors
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My daughter's confidence improved significantly and her predicted grade increased by 2 grades.
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My son, who previously lacked confidence, now approaches maths with greater assurance. My daughter has continued to excel under his guidance.
Google Review
I've seen a real improvement not only in her maths skills but also in how positively she now approaches the subject.
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Fas improved my son's confidence by identifying and filling in gaps in his knowledge, and taking away the fear.
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His ability to tailor his teaching methods to meet the needs of the student is simply exceptional.
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My daughter's confidence improved significantly and her predicted grade increased by 2 grades.
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My son, who previously lacked confidence, now approaches maths with greater assurance. My daughter has continued to excel under his guidance.
Google Review
I've seen a real improvement not only in her maths skills but also in how positively she now approaches the subject.
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My child is much more confident in maths and his grades have improved considerably.
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My cousin had Faseeh as his tutor and just got a Level 9 in his GCSEs.
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He's been teaching my son for 41 weeks getting him ready for GCSE — he has learnt a lot and is doing well.
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Fas has a real talent for breaking down complex topics and making learning accessible and engaging for students of all levels.
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An outstanding teacher, always going above and beyond. Very effective at ensuring students understand with a variety of explanations so every student can find a method they prefer.
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My cousin had Faseeh as his tutor and just got a Level 9 in his GCSEs.
Google Review
He's been teaching my son for 41 weeks getting him ready for GCSE — he has learnt a lot and is doing well.
Google Review
He makes his own resources which is awesome. I highly recommend anyone seeking a tutor who will make a significant difference to your grade.
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My son is enjoying his lessons and has shown a great improvement since he started with Fas.
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My child's confidence and grades improved so quickly.
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Fas has a real talent for breaking down complex topics and making learning accessible and engaging for students of all levels.
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An outstanding teacher, always going above and beyond. Very effective at ensuring students understand with a variety of explanations so every student can find a method they prefer.
Google Review
My cousin had Faseeh as his tutor and just got a Level 9 in his GCSEs.
Google Review
He's been teaching my son for 41 weeks getting him ready for GCSE — he has learnt a lot and is doing well.
Google Review
He makes his own resources which is awesome. I highly recommend anyone seeking a tutor who will make a significant difference to your grade.
Google Review
My son is enjoying his lessons and has shown a great improvement since he started with Fas.
Google Review
My child's confidence and grades improved so quickly.
Google Review
Fas has a real talent for breaking down complex topics and making learning accessible and engaging for students of all levels.
Google Review
An outstanding teacher, always going above and beyond. Very effective at ensuring students understand with a variety of explanations so every student can find a method they prefer.
Google Review
My daughter's confidence improved significantly and her predicted grade increased by 2 grades.
Google Review
My son, who previously lacked confidence, now approaches maths with greater assurance. My daughter has continued to excel under his guidance.
Google Review
I've seen a real improvement not only in her maths skills but also in how positively she now approaches the subject.
Google Review
My child is much more confident in maths and his grades have improved considerably.
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We are always improving our content, adding new resources and adding features to enhance your learning experience.
- 17 May, 2026New Negative Indices Worksheet
- 9 May, 2026New Time Series Worksheet
- 8 May, 2026New Capture Recapture Worksheet
- 20 Jan, 2026New Tree Diagrams Worksheet
- 12 Jan, 2026New Pythagoras Theorem Worksheet
- 6 Jan, 2026New Enlargements Worksheet
- 2 Jan, 2026New Drawing a Triangle Using Compasses Worksheet
- 29 Dec, 2025New Loci Worksheet
- 25 Dec, 2025New Constructions - Bisectors Worksheet
- 24 Dec, 2025New Distance-Time Graphs Worksheet