GCSE Maths Topics: A Complete Guide by Exam Board and Tier

Ask most GCSE Maths students what actually comes up in the exam, and you will often get a slightly vague answer, "a bit of everything really." That is not exactly wrong, but it is not much help when it comes to planning revision. Knowing exactly which topics matter, and how much of the exam they make up, can turn a vague sense of worry into a clear, focused plan.

In this guide, we will break down every major GCSE Maths topic area, explain the real differences between Foundation and Higher tier, and show roughly how much of the exam each area is worth. All explained in simple, plain language, whether you are studying with AQA, Edexcel or OCR.

Key Takeaways

• Every major exam board follows the same national curriculum for GCSE Maths content.

• All GCSE Maths topics fall under five broad areas: Number, Algebra, Ratio and Proportion, Geometry and Measures, and Probability and Statistics.

• Higher tier includes extra topics not covered at Foundation, such as surds, circle theorems and algebraic proof.

• Algebra carries the biggest weight at Higher tier, while Number carries the biggest weight at Foundation.

• Every student sits three papers, one non calculator and two calculator, and any topic can appear on any paper.

Does It Matter Which Exam Board You Are Studying With?

Not as much as you might think, at least in terms of content. AQA, Edexcel and OCR all follow the same national curriculum set by the Department for Education, so the actual Maths topics covered are the same no matter which board a student studies with. The real differences between boards come down to how questions are worded, how papers are structured, and the general style of marking, rather than what is actually being taught.

That said, since paper style does still differ, it is always worth practising with your own board's past papers. Our GCSE past papers are organised clearly by board, so revision always matches the real exam style your child will face.

The Five Big Areas of GCSE Maths

Every GCSE Maths specification, no matter the exam board, is built around five broad topic areas. Roughly how much of the exam each area makes up does shift slightly between Foundation and Higher tier, which is worth knowing when planning revision time.

Topic Area	Foundation Weighting	Higher Weighting
Number	Around 25%	Around 15%
Algebra	Around 20%	Around 30%
Ratio, Proportion and Rates of Change	Around 25%	Around 20%
Geometry and Measures	Around 15%	Around 20%
Probability and Statistics	Around 15%	Around 15%

A useful takeaway here is that Algebra becomes noticeably more important at Higher tier, while Number carries more weight at Foundation. Knowing this can help students prioritise revision time sensibly, rather than spreading effort evenly across every topic regardless of how often it actually appears.

1. Number

Number is the true foundation of GCSE Maths, covering the numerical skills that almost every other topic builds on top of, including arithmetic, fractions, decimals and percentages.

What's Covered at Foundation and Higher

• Basic number skills, mathematical operations and calculator use

• Types of number, prime factors, HCF and LCM

• Powers, roots and standard form

• Fractions, decimals and percentages, including simple and compound interest

• Rounding, estimation and error intervals or bounds

Higher tier only: students are also expected to work with surds as part of their calculations, going beyond what is required at Foundation.

2. Algebra

Algebra is the single biggest topic area at Higher tier, and one of the areas where the gap between Foundation and Higher becomes most obvious. Many Foundation topics get studied in much greater depth once a student moves to Higher tier.

What's Covered at Foundation and Higher

• Expanding brackets, factorising and rearranging formulae

• Solving linear equations, quadratic equations and simultaneous equations

• Coordinate geometry and graphs, including real life graphs

• Sequences and solving inequalities

Higher tier only: completing the square, algebraic fractions, formal algebraic proof, iteration, equations of circles, graphing inequalities, and transformations of graphs all appear only at Higher level.

3. Ratio, Proportion and Rates of Change

This area looks closely at how different quantities relate to one another, and the content stays largely the same across both tiers, though Higher tier questions tend to be more demanding.

What's Covered at Both Tiers

• Working with and solving ratio problems

• Direct and inverse proportion

• Standard and compound units, exchange rates and best value comparisons

Key difference: Foundation students handle proportion problems with straightforward quantities, while Higher tier students may need to work with quantities raised to a given power, adding an extra layer of challenge.

4. Geometry and Measures

This area covers shapes, space and measurement, from basic properties of 2D and 3D shapes through to more advanced geometric reasoning at Higher tier.

What's Covered at Foundation and Higher

• Angles in polygons and parallel lines

• Properties of 2D and 3D shapes

• Area, perimeter, and circles, arcs and sectors

• Volume and surface area

• Congruence, similarity and geometrical proof

• Pythagoras' theorem and right angled trigonometry, plus vectors and transformations

Higher tier only: circle theorems, area and volume of similar shapes, the sine and cosine rules, and extending Pythagoras and trigonometry into full 3D problems.

5. Probability and Statistics

Often grouped together as two of the smaller topic areas, probability and statistics still make up a meaningful portion of every GCSE Maths paper.

What's Covered at Foundation and Higher

• Simple probability and probability diagrams

• Tree diagrams and combined probability

• Statistical diagrams, including scatter graphs and correlation

Higher tier only: conditional probability, along with more advanced statistical diagrams such as histograms, cumulative frequency diagrams and box plots.

What Actually Happens in the Exam?

Across AQA, Edexcel and OCR, every student sits three GCSE Maths papers, one without a calculator and two with a calculator allowed. The important thing to understand is that any topic from the specification could appear on any of the three papers.

Some topics naturally suit non calculator questions, such as fraction calculations, expanding brackets, and Higher tier surds. Others, like compound interest or iteration, tend to lean more towards calculator papers. Still, since there is no strict rule about which topic appears where, the safest approach is always to be prepared across the whole specification for every paper.

Simple tip: do not assume a topic will only come up on the calculator paper or only on the non calculator paper. Practising every topic in both settings gives the most complete preparation.

Turning This Into a Focused Revision Plan

Understanding the topic breakdown is a great first step, but the real value comes from using it to guide actual revision time.

Prioritise Based on Weighting

Since Algebra makes up such a large share of the Higher tier exam, and Number carries extra weight at Foundation, it makes sense to give these areas a little more attention, without neglecting the others.

Follow a Structured, Board Matched Plan

Rather than revising topics in a random order, a clear, guided structure keeps progress steady and focused. Our Higher tier Maths revision course walks students through every topic area step by step, weighted around exactly how the real exam is structured.

Practise With Genuine Exam Questions

Understanding a topic in theory and being able to answer real exam style questions on it are two different skills. We always recommend working through authentic past papers, since nothing builds real exam readiness quite like practising with genuine questions across every topic area.

Practise Under Timed, Realistic Conditions

Since any topic could appear on any paper, being comfortable moving between topics under time pressure really matters. Our GCSE mock exams recreate the real structure of all three Maths papers, helping students build genuine confidence with pacing and topic switching.

Get Personal Guidance on Tricky Topics

Some topics, like algebraic proof or circle theorems, can feel confusing without the right explanation. Our Maths GCSE tutors work closely with each student, focusing lessons on exactly the topics and tier that matter most for them.

Conclusion

GCSE Maths might feel like a huge subject to cover, but once broken down into its five core areas, Number, Algebra, Ratio and Proportion, Geometry and Measures, and Probability and Statistics, it becomes far easier to plan revision sensibly. Understanding what changes between Foundation and Higher tier, and how much weight each topic carries, helps turn a vague sense of "revise everything" into a clear, focused study plan that genuinely makes a difference.