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
- Reflection
- 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
- FDP - Fractions, Decimals & Percentages
- 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
- Changing the 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
- Changing the 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 Measures
- 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
- Expanding Triple Brackets
- 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
- Changing the subject of a formula (Hard)
- 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(53 reviews)
Google Review

Fas ensures that he has a clear understanding of my daughter’s knowledge gaps and then addresses these consistently. He provides timely feedback on every lesson which is very helpful. His explanations are clear and easy to follow. My daughter’s confidence improved significantly and her predicted grade increased by 2 grades.
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

Fas has greatly improved my son’s maths confidence by identifying and filling in gaps in his knowledge, and taking away the fear. Fas makes the tutoring sessions interesting and engaging, and my son is making progress every week. I wouldn’t hesitate to recommend GCSE Maths Rocket.
Google Review

Fas provides weekly video reports detailing lesson content, progress, and assigned homework. My son, who previously lacked confidence, has developed a much stronger grasp of core concepts and now approaches maths with greater assurance. My daughter, already a capable mathematician, has continued to excel under his guidance.
Google Review

I would highly recommend Fas as a tutor, he has turned a 'dull and boring' (not to mention difficult) topic into something that both children feel confident with and are having a growing sense of confidence in. Fas is patient and encouraging, whilst setting clear targets for the children. I was rather expecting the children to complain about maths tutoring, however after lesson one, all complaints evaporated and they are already recognising the benefits. Fas is organised, punctual, professional and provides comprehensive feedback following every lesson. Highly recommend.
Google Review

Six months of Fas’s 1-2-1 GCSE Maths tuition took me from Set 3 to Set 1—I’ve never felt more confident. I highly recommend Fas!
Google Review

Since starting lessons with him, I've seen a real improvement not only in my daughter's maths skills but also in how positively she now approaches the subject. He makes lessons feel comfortable and productive, which has been so important in helping her ask questions without feeling worried about getting things wrong.
Google Review

As a mum of a Year 10 student, I’m really pleased with Faseeh's maths tutoring. My child is much more confident in maths and his grades have improved considerably . Faseeh is patient and explains things clearly—highly recommend.
Google Review

Fas ensures that he has a clear understanding of my daughter’s knowledge gaps and then addresses these consistently. He provides timely feedback on every lesson which is very helpful. His explanations are clear and easy to follow. My daughter’s confidence improved significantly and her predicted grade increased by 2 grades.
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

Fas has greatly improved my son’s maths confidence by identifying and filling in gaps in his knowledge, and taking away the fear. Fas makes the tutoring sessions interesting and engaging, and my son is making progress every week. I wouldn’t hesitate to recommend GCSE Maths Rocket.
Google Review

Fas provides weekly video reports detailing lesson content, progress, and assigned homework. My son, who previously lacked confidence, has developed a much stronger grasp of core concepts and now approaches maths with greater assurance. My daughter, already a capable mathematician, has continued to excel under his guidance.
Google Review

I would highly recommend Fas as a tutor, he has turned a 'dull and boring' (not to mention difficult) topic into something that both children feel confident with and are having a growing sense of confidence in. Fas is patient and encouraging, whilst setting clear targets for the children. I was rather expecting the children to complain about maths tutoring, however after lesson one, all complaints evaporated and they are already recognising the benefits. Fas is organised, punctual, professional and provides comprehensive feedback following every lesson. Highly recommend.
Google Review

Six months of Fas’s 1-2-1 GCSE Maths tuition took me from Set 3 to Set 1—I’ve never felt more confident. I highly recommend Fas!
Google Review

Since starting lessons with him, I've seen a real improvement not only in my daughter's maths skills but also in how positively she now approaches the subject. He makes lessons feel comfortable and productive, which has been so important in helping her ask questions without feeling worried about getting things wrong.
Google Review

As a mum of a Year 10 student, I’m really pleased with Faseeh's maths tutoring. My child is much more confident in maths and his grades have improved considerably . Faseeh is patient and explains things clearly—highly recommend.
Google Review

Fas ensures that he has a clear understanding of my daughter’s knowledge gaps and then addresses these consistently. He provides timely feedback on every lesson which is very helpful. His explanations are clear and easy to follow. My daughter’s confidence improved significantly and her predicted grade increased by 2 grades.
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

Fas has greatly improved my son’s maths confidence by identifying and filling in gaps in his knowledge, and taking away the fear. Fas makes the tutoring sessions interesting and engaging, and my son is making progress every week. I wouldn’t hesitate to recommend GCSE Maths Rocket.
Google Review

Fas provides weekly video reports detailing lesson content, progress, and assigned homework. My son, who previously lacked confidence, has developed a much stronger grasp of core concepts and now approaches maths with greater assurance. My daughter, already a capable mathematician, has continued to excel under his guidance.
Google Review

I would highly recommend Fas as a tutor, he has turned a 'dull and boring' (not to mention difficult) topic into something that both children feel confident with and are having a growing sense of confidence in. Fas is patient and encouraging, whilst setting clear targets for the children. I was rather expecting the children to complain about maths tutoring, however after lesson one, all complaints evaporated and they are already recognising the benefits. Fas is organised, punctual, professional and provides comprehensive feedback following every lesson. Highly recommend.
Google Review

Six months of Fas’s 1-2-1 GCSE Maths tuition took me from Set 3 to Set 1—I’ve never felt more confident. I highly recommend Fas!
Google Review

Since starting lessons with him, I've seen a real improvement not only in my daughter's maths skills but also in how positively she now approaches the subject. He makes lessons feel comfortable and productive, which has been so important in helping her ask questions without feeling worried about getting things wrong.
Google Review

As a mum of a Year 10 student, I’m really pleased with Faseeh's maths tutoring. My child is much more confident in maths and his grades have improved considerably . Faseeh is patient and explains things clearly—highly recommend.
Google Review

Fas ensures that he has a clear understanding of my daughter’s knowledge gaps and then addresses these consistently. He provides timely feedback on every lesson which is very helpful. His explanations are clear and easy to follow. My daughter’s confidence improved significantly and her predicted grade increased by 2 grades.
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

Fas has greatly improved my son’s maths confidence by identifying and filling in gaps in his knowledge, and taking away the fear. Fas makes the tutoring sessions interesting and engaging, and my son is making progress every week. I wouldn’t hesitate to recommend GCSE Maths Rocket.
Google Review

Fas provides weekly video reports detailing lesson content, progress, and assigned homework. My son, who previously lacked confidence, has developed a much stronger grasp of core concepts and now approaches maths with greater assurance. My daughter, already a capable mathematician, has continued to excel under his guidance.
Google Review

I would highly recommend Fas as a tutor, he has turned a 'dull and boring' (not to mention difficult) topic into something that both children feel confident with and are having a growing sense of confidence in. Fas is patient and encouraging, whilst setting clear targets for the children. I was rather expecting the children to complain about maths tutoring, however after lesson one, all complaints evaporated and they are already recognising the benefits. Fas is organised, punctual, professional and provides comprehensive feedback following every lesson. Highly recommend.
Google Review

Six months of Fas’s 1-2-1 GCSE Maths tuition took me from Set 3 to Set 1—I’ve never felt more confident. I highly recommend Fas!
Google Review

Since starting lessons with him, I've seen a real improvement not only in my daughter's maths skills but also in how positively she now approaches the subject. He makes lessons feel comfortable and productive, which has been so important in helping her ask questions without feeling worried about getting things wrong.
Google Review

As a mum of a Year 10 student, I’m really pleased with Faseeh's maths tutoring. My child is much more confident in maths and his grades have improved considerably . Faseeh is patient and explains things clearly—highly recommend.
Google Review

Fas ensures that he has a clear understanding of my daughter’s knowledge gaps and then addresses these consistently. He provides timely feedback on every lesson which is very helpful. His explanations are clear and easy to follow. My daughter’s confidence improved significantly and her predicted grade increased by 2 grades.
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

Fas has greatly improved my son’s maths confidence by identifying and filling in gaps in his knowledge, and taking away the fear. Fas makes the tutoring sessions interesting and engaging, and my son is making progress every week. I wouldn’t hesitate to recommend GCSE Maths Rocket.
Google Review

Fas provides weekly video reports detailing lesson content, progress, and assigned homework. My son, who previously lacked confidence, has developed a much stronger grasp of core concepts and now approaches maths with greater assurance. My daughter, already a capable mathematician, has continued to excel under his guidance.
Google Review

I would highly recommend Fas as a tutor, he has turned a 'dull and boring' (not to mention difficult) topic into something that both children feel confident with and are having a growing sense of confidence in. Fas is patient and encouraging, whilst setting clear targets for the children. I was rather expecting the children to complain about maths tutoring, however after lesson one, all complaints evaporated and they are already recognising the benefits. Fas is organised, punctual, professional and provides comprehensive feedback following every lesson. Highly recommend.
Google Review

Six months of Fas’s 1-2-1 GCSE Maths tuition took me from Set 3 to Set 1—I’ve never felt more confident. I highly recommend Fas!
Google Review

Since starting lessons with him, I've seen a real improvement not only in my daughter's maths skills but also in how positively she now approaches the subject. He makes lessons feel comfortable and productive, which has been so important in helping her ask questions without feeling worried about getting things wrong.
Google Review

As a mum of a Year 10 student, I’m really pleased with Faseeh's maths tutoring. My child is much more confident in maths and his grades have improved considerably . Faseeh is patient and explains things clearly—highly recommend.
🔥 Actively Maintained
We are always improving our content, adding new resources and adding features to enhance your learning experience.
- 2 Aug, 2026New Roots & Turning Points of Quadratics Worksheet
- 26 Jul, 2026New Equation of a Straight Line: Coorindates Worksheet
- 20 Jul, 2026New Equation of a Straight Line: y=mx+c Worksheet
- 10 Jul, 2026New Difference of Two Squares Worksheet
- 7 Jul, 2026New Factorising & Solving Quadratics Worksheet
- 5 Jul, 2026New Error Intervals Worksheet
- 17 May, 2026New Negative Indices Worksheet
- 9 May, 2026New Time Series Worksheet
- 8 May, 2026New Capture-Recapture Worksheet
- 20 Jan, 2026New Tree Diagrams Worksheet