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
Tutoring
Get lessons tailored to YOU - your pace, your gaps, and your goals
ExcellentBased onGoogle(30+ reviews)
Google Review
Amazing at explaining topics I've struggled with and very patient. Would highly recommend 👌
Google Review
Had 5 online lessons so far, teaching and interaction is very good. Provided with lots of information and resources to use at own leisure. The teacher is happy to tackle any maths problems required. Very flexible approach. Engaging with my son. Great focusing on gcse questions and exam papers.
Google Review
An outstanding teacher always going above and beyond for students. Very effective at ensuring students understand the concepts being taught with the variety of explanations given so every student can find a method they prefer.
Google Review
The lessons are explained really clearly and in a way that makes even the harder topics easy to understand. I like how everything is broken down step by step, and the practice questions are really helpful to build confidence. Definitely recommend for anyone preparing for GCSE Maths.
Google Review
A reliable website, and the youtube videos. Love the 'I DO' 'YOU DO' method. it helps to keep me on track! A very exuberance teacher as he breaks down the complex concept to small sections.
Google Review
I can’t thank Fas enough for supporting my GCSE Maths. Before starting lessons, I lacked confidence, but their clear explanations and encouragement made such a big difference. I managed to get a Grade 5 – exactly what I needed to get into college! I highly recommend it to anyone who feels stuck or unsure about maths. This tutoring really helped me believe in myself.
YouTube Comment
Wow! It's amazing. Every student can learn easily, this method is very helpful. I appreciate you. Thank you so much, Sir.
Google Review
Amazing at explaining topics I've struggled with and very patient. Would highly recommend 👌
Google Review
Had 5 online lessons so far, teaching and interaction is very good. Provided with lots of information and resources to use at own leisure. The teacher is happy to tackle any maths problems required. Very flexible approach. Engaging with my son. Great focusing on gcse questions and exam papers.
Google Review
An outstanding teacher always going above and beyond for students. Very effective at ensuring students understand the concepts being taught with the variety of explanations given so every student can find a method they prefer.
Google Review
The lessons are explained really clearly and in a way that makes even the harder topics easy to understand. I like how everything is broken down step by step, and the practice questions are really helpful to build confidence. Definitely recommend for anyone preparing for GCSE Maths.
Google Review
A reliable website, and the youtube videos. Love the 'I DO' 'YOU DO' method. it helps to keep me on track! A very exuberance teacher as he breaks down the complex concept to small sections.
Google Review
I can’t thank Fas enough for supporting my GCSE Maths. Before starting lessons, I lacked confidence, but their clear explanations and encouragement made such a big difference. I managed to get a Grade 5 – exactly what I needed to get into college! I highly recommend it to anyone who feels stuck or unsure about maths. This tutoring really helped me believe in myself.
YouTube Comment
Wow! It's amazing. Every student can learn easily, this method is very helpful. I appreciate you. Thank you so much, Sir.
Google Review
Amazing at explaining topics I've struggled with and very patient. Would highly recommend 👌
Google Review
Had 5 online lessons so far, teaching and interaction is very good. Provided with lots of information and resources to use at own leisure. The teacher is happy to tackle any maths problems required. Very flexible approach. Engaging with my son. Great focusing on gcse questions and exam papers.
Google Review
An outstanding teacher always going above and beyond for students. Very effective at ensuring students understand the concepts being taught with the variety of explanations given so every student can find a method they prefer.
Google Review
The lessons are explained really clearly and in a way that makes even the harder topics easy to understand. I like how everything is broken down step by step, and the practice questions are really helpful to build confidence. Definitely recommend for anyone preparing for GCSE Maths.
Google Review
A reliable website, and the youtube videos. Love the 'I DO' 'YOU DO' method. it helps to keep me on track! A very exuberance teacher as he breaks down the complex concept to small sections.
Google Review
I can’t thank Fas enough for supporting my GCSE Maths. Before starting lessons, I lacked confidence, but their clear explanations and encouragement made such a big difference. I managed to get a Grade 5 – exactly what I needed to get into college! I highly recommend it to anyone who feels stuck or unsure about maths. This tutoring really helped me believe in myself.
YouTube Comment
Wow! It's amazing. Every student can learn easily, this method is very helpful. I appreciate you. Thank you so much, Sir.
Google Review
Amazing at explaining topics I've struggled with and very patient. Would highly recommend 👌
Google Review
Had 5 online lessons so far, teaching and interaction is very good. Provided with lots of information and resources to use at own leisure. The teacher is happy to tackle any maths problems required. Very flexible approach. Engaging with my son. Great focusing on gcse questions and exam papers.
Google Review
An outstanding teacher always going above and beyond for students. Very effective at ensuring students understand the concepts being taught with the variety of explanations given so every student can find a method they prefer.
Google Review
The lessons are explained really clearly and in a way that makes even the harder topics easy to understand. I like how everything is broken down step by step, and the practice questions are really helpful to build confidence. Definitely recommend for anyone preparing for GCSE Maths.
Google Review
A reliable website, and the youtube videos. Love the 'I DO' 'YOU DO' method. it helps to keep me on track! A very exuberance teacher as he breaks down the complex concept to small sections.
Google Review
I can’t thank Fas enough for supporting my GCSE Maths. Before starting lessons, I lacked confidence, but their clear explanations and encouragement made such a big difference. I managed to get a Grade 5 – exactly what I needed to get into college! I highly recommend it to anyone who feels stuck or unsure about maths. This tutoring really helped me believe in myself.
YouTube Comment
Wow! It's amazing. Every student can learn easily, this method is very helpful. I appreciate you. Thank you so much, Sir.
YouTube Comment
Amazing videos! I’ll share this with my students and you’ll get many subscribers!
YouTube Comment
Oh my god you’re so underrated. Keep it up it’s very easy to understand :D
YouTube Comment
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YouTube Comment
Really u r a amazing teacher 👏👏🙏🙏🙏.... thank you so much sir 🔥
YouTube Comment
these videos are so well made it will definitely benefit many people thank u!
YouTube Comment
Thank you this was very well explained. I look forward to watching more maths.
YouTube Comment
Love the style of these videos! Keep it up!
YouTube Comment
Amazing videos! I’ll share this with my students and you’ll get many subscribers!
YouTube Comment
Oh my god you’re so underrated. Keep it up it’s very easy to understand :D
YouTube Comment
you deserve alot more subs saved me for my exam tmrw tysm!
YouTube Comment
Really u r a amazing teacher 👏👏🙏🙏🙏.... thank you so much sir 🔥
YouTube Comment
these videos are so well made it will definitely benefit many people thank u!
YouTube Comment
Thank you this was very well explained. I look forward to watching more maths.
YouTube Comment
Love the style of these videos! Keep it up!
YouTube Comment
Amazing videos! I’ll share this with my students and you’ll get many subscribers!
YouTube Comment
Oh my god you’re so underrated. Keep it up it’s very easy to understand :D
YouTube Comment
you deserve alot more subs saved me for my exam tmrw tysm!
YouTube Comment
Really u r a amazing teacher 👏👏🙏🙏🙏.... thank you so much sir 🔥
YouTube Comment
these videos are so well made it will definitely benefit many people thank u!
YouTube Comment
Thank you this was very well explained. I look forward to watching more maths.
YouTube Comment
Love the style of these videos! Keep it up!
YouTube Comment
Amazing videos! I’ll share this with my students and you’ll get many subscribers!
YouTube Comment
Oh my god you’re so underrated. Keep it up it’s very easy to understand :D
YouTube Comment
you deserve alot more subs saved me for my exam tmrw tysm!
YouTube Comment
Really u r a amazing teacher 👏👏🙏🙏🙏.... thank you so much sir 🔥
YouTube Comment
these videos are so well made it will definitely benefit many people thank u!
YouTube Comment
Thank you this was very well explained. I look forward to watching more maths.
YouTube Comment
Love the style of these videos! Keep it up!
Google Review
I can’t thank Fas enough for supporting my GCSE Maths. Before starting lessons, I lacked confidence, but their clear explanations and encouragement made such a big difference. I managed to get a Grade 5 – exactly what I needed to get into college! I highly recommend it to anyone who feels stuck or unsure about maths. This tutoring really helped me believe in myself.
Google Review
The lessons are explained really clearly and in a way that makes even the harder topics easy to understand. I like how everything is broken down step by step, and the practice questions are really helpful to build confidence. Definitely recommend for anyone preparing for GCSE Maths.
🔥 Actively Maintained
We are always improving our content, adding new resources and adding features to enhance your learning experience.
- 21 Nov, 2025New Fibonacci Sequences Worksheet
- 17 Nov, 2025New Simultaneous Equations Graphically Worksheet
- 17 Nov, 2025New Solve Linear Inequalities Worksheet
- 15 Nov, 2025New Inequalities on a Number Line Worksheet
- 13 Nov, 2025New Forming Formulae and Equations Worksheet
- 2 Nov, 2025New Midpoint of a Line Worksheet
- 1 Nov, 2025New Scatter Diagrams Worksheet
- 29 Oct, 2025New Estimate for the mean Worksheet
- 27 Oct, 2025New Averages from a table Worksheet
- 25 Oct, 2025New Stem and Leaf Diagrams Worksheet