Hardest IGCSE Maths Topics & How To Tackle Them

IGCSE Maths is full of tricky topics. It can seem overwhelming at first, but breaking them down into manageable chunks is the best way to succeed. 

The best way to manage this subject is to practise consistently. Start by working on exam questions by topic. Then, when you are confident with a range of topics, you can start working on past papers.

This guide breaks down the hardest IGCSE Maths topics and how to approach them effectively. It will also provide practical guidance to help you to revise these topics. 

Key Takeaways

• Certain topics are consistently the most challenging – especially algebra, trigonometry and calculus, graphs and functions, vectors, and probability. This is mainly down to how the question is worded. 

• The difficulty comes from depth and complexity, not just harder maths. Students must understand concepts, link different topics, and decide their own methods rather than follow straightforward procedures.

• Success comes from strong foundations and consistent practice – focusing on algebra skills, understanding concepts (not memorising), and regularly practising exam-style questions are the most effective ways to improve.

Why IGCSE Maths Can Be Challenging

IGCSE Maths has become more challenging in recent years. The maths itself hasn’t changed much. However, the way questions are being presented can make them seem more challenging. 

Students often struggle with the question length and context. They can also struggle with questions that have content cross over.

Other aspects of the paper that can be challenging are:

• Greater conceptual depth – topics are not treated as isolated techniques to memorise, but as interconnected ideas to be understood at a deeper level.
  

• Questions that are more abstract – IGCSE Maths frequently introduces abstract concepts that may not have immediate real-world interpretations.
  

• Students must decide which methods to use and in what order. They are not guided toward a specific technique.
  

• The pace and volume of content – Students are expected to keep up with new concepts. At the same time, they need to consolidate previous knowledge independently. This requires strong time management skills and consistent practice outside the classroom.

The Hardest IGCSE Maths Topics

Difficulty depends on what topics you as an individual find difficult. Some people prefer numerical and statistical maths, whilst others prefer calculus and abstract maths. However, certain topics consistently challenge students. 

In the following sections, we will look more closely at the topics of algebra, trigonometry, graphs, transformations and functions, vectors and probability. 

Algebra

In IGCSE maths, the algebraic topics are designed to build on your knowledge of algebra from previous years of study. Whilst the questions might look more difficult, you’ve actually seen them before! 

An example of this is a simultaneous equation. In an exam paper, they may be worded problems that do not immediately look like a simultaneous problem. 

For example: “Bob bought 3 coffees and 2 teas and together they cost £10.20. Amy bought 2 coffees and 3 teas and together they cost £8.60. How much do 7 teas and 8 coffees cost?”

This looks very complicated to do, but if we looked at this instead:

3c + 2t = 10.2 

2c + 3t = 8.6 

You may be able to solve it! 

Why it’s hard:

• It takes something you are familiar with and may ask you to write it in another format, solve it, rearrange it or reverse it. It can be overwhelming to actually know what to do with it. 

• Multiple steps and methods are required and sometimes students can struggle with the choice of method (e.g. solving a quadratic equation – do you factorise, use the quadratic formula or complete the square? Do you know why you are choosing that method and when is the best time to use it?)

• Questions often combine several concepts

Common struggles:

• Expanding and factorising correctly

• Solving quadratic equations in different forms

• Make small slips with negative numbers

How to tackle it:

• Master the basics first: Be completely confident with expanding brackets and factorising simple expressions.

• Learn when to use each method:

  • Factorising → when numbers are “nice”

  • Quadratic formula → works every time

• Practise exam questions regularly: Working through exam questions regularly will improve your confidence. 

Exam tip: If factorising isn’t obvious after around 20 seconds, switch to the quadratic formula to avoid wasting time.

Trigonometry

In IGCSE Maths, students often struggle with trigonometry questions. They are rarely asked to calculate a missing angle or side in a basic right-angled triangle like they do in the classroom. 

Instead, you are given complex shapes that you have to split up and find a triangle inside. Sometimes, you may have to look at a 3D shape.

Why it’s hard:

• Requires remembering multiple formulas

• Problems often involve real-world contexts

• Can include both geometry and algebra

Common struggles:

• Knowing when to use sin, cos, or tan

• Applying trigonometry in 3D shapes

How to tackle it:

• Use SOHCAHTOA consistently for right-angled triangles only - not every single triangle. Learn when to use the sine rule, the cosine rule and the area of the triangle rule.

• Label your diagram clearly before starting

• Memorise key values (e.g. sin 30°, cos 60°)

Exam tip: Always check your calculator is in the correct mode (degrees not radians).

Graphs, Transformations and Functions

In IGCSE Maths, you need to understand the relationships that graphs show. You are expected to do more than simply plot graphs and read values from them.

Why it’s hard:

• Requires understanding relationships, not just calculations. This includes transforming graphs and understanding how they relate to the functions.

• Multiple graph types (linear, quadratic, cubic, reciprocal). You need to be able to plot, recognise, and interpret them.

Common struggles:

• Drawing accurate graphs

• Finding intersections

• Understanding gradients and intercepts

How to tackle it:

• Practise sketching common graphs until you recognise their shapes instantly

• Work on understanding the relationships between algebra and graphs – link graphs to their equations and draw graphs from their equations.

• Practise exam questions regularly: Working through exam questions regularly will improve your confidence. 

Exam tip: Even if your graph isn’t perfect, clear working and correct method can still earn marks.

Vectors

Vectors are one of the most difficult subjects for students taking maths. This is because a lot of the questions require logic and reasoning rather than just a method to work it out. 

Students have said to me before that if they don’t ‘see’ the method or the answer straight away, they give up quickly. Vector questions require a high level of resilience. 

Why it’s hard:

• Abstract topic (no or few numbers at first glance)

• Requires logical reasoning

• Proof-style questions are common

Common struggles:

• Writing vectors in terms of others

• Following multi-step vector paths

• Explaining answers clearly

How to tackle it:

• Draw diagrams for every question 

• Work systematically, writing each vector clearly

• Tell a story – write a reason for each step of your working out, creating a story from getting from the start to the finish. 

Exam tip: Use clear notation and show each step — marks are sometimes withheld if you haven’t labelled which vector you are referring to!

Probability

In my experience as a tutor, I’ve seen a lot of students struggle with probability. Probability is often left until the end of the course to teach because it comes at the end of the course specification along with statistics. 

This often leads to teachers running out of time and quickly working through it which leads to a lot of misconceptions. 

Probability also relies on a solid use of fractions, decimals and percentages. 

Why it’s hard:

• Questions can be wordy and confusing

• Requires careful interpretation

• Conditional probability adds complexity

Common struggles:

• Tree diagrams without replacement – students struggle to understand why the denominator reduces on the second set of branches. 

• Independent vs dependent events – students can struggle with the meaning of these words, and the terms mutually exclusive and exclusive events. 

• Follow on questions from two way tables and venn diagrams – students can struggle to know what the denominator should be for different probabilities. 

How to tackle it:

• Translate words into diagrams (tree diagrams or tables). Make sure your diagram tells a story and check your totals all add up to one in each column of branches.

• Learn key terms – do this before you learn the maths as understanding of the methods and the terminology will help you to master the questions. 

Exam tip: If you get stuck, write down all possible outcomes—it often reveals the answer.

Strategies for Mastering Difficult IGCSE Maths Topics

In IGCSE Maths, we can take crucial steps to ensure we’re more prepared.

You need to really reflect on your strengths and weaknesses mathematically, and be prepared to do some work on building up your confidence on those weaker topics. 

Build Strong Foundations First

Many difficulties in maths come from gaps in earlier knowledge, especially algebra. Before tackling advanced topics, make sure you are confident with:

• Expanding and factorising single brackets

• Solving simple equations

• Directed numbers (negative numbers)

A strong foundation reduces errors and allows you to focus on understanding new concepts rather than struggling with basic skills.

Focus on Conceptual Understanding

Avoid relying purely on memorisation and learning a method. Instead, aim to understand:

• Why a method works

• When it should be used

For example, for quadratic equations, don’t just learn how to solve them—understand that solving them allows you to see where the curve crosses the x axis. This deeper understanding helps you adapt to unfamiliar exam questions.

Break down complex problems 

Difficult questions often look overwhelming because they involve multiple steps. Train yourself to:

• Identify smaller parts of the problem

• Consider what the question is actually asking you to do and what steps you need to take to get there

• Solve each step one at a time

This approach makes even the hardest questions more approachable and reduces the chance of mistakes.

Frequently Asked Questions

What is the difference between higher and foundation?

There’s quite a few differences in terms of the IGCSE Maths topics in higher vs foundation tiers, but mainly the difference is in the complexity of the questions. 

The higher paper covers topics such as calculus, complex circle theorems and graph transformations, whereas the foundation paper can feel less intense as it covers things like pictograms and basic place value that wouldn’t be seen in the higher paper. 

There is a crossover on both though—the hardest questions on the foundation paper appear as the easiest questions on the higher paper. 

How much harder is it to pass higher IGCSE Maths than it is to pass foundation?

The foundation paper goes up to a grade 5 and the higher paper goes from a grade 4 to a grade 9. You can get a grade 4 or 5 on both papers but it depends what topics you’ve been taught and how well you know them. 

In most cases, it is up to your school which paper you sit. 

How long should I spend revising for IGCSE Maths?

The simple answer here is the more you revise, the better you will be! Try to be consistent with your revision. Revise topics throughout the course rather than all at the end.

Work on past paper questions frequently, and get to know the mark schemes. Check out our guide on how long to revise for your IGCSEs. 

Do I need to revise all IGCSE Further Maths topics?

The simple answer is yes. You don’t know what will come up in the paper, so it’s best to be prepared and to cover all bases. Make sure to revisit topics that you struggle with the most, using Save My Exams’ Strengths and Weaknesses tool to identify your weakest points. 

Final Thoughts

IGCSE Maths can feel difficult, but it’s not about being “naturally good” at maths—it’s about building skills over time and learning how to approach problems with confidence.

The hardest topics—like algebra, trigonometry, vectors, and probability—are challenging for a reason. They require you to think more deeply, make connections, and choose your own methods. That’s exactly what examiners are looking for.

Focus on strengthening your foundations, understanding the “why” behind methods, and practising consistently with exam-style questions. Don’t be discouraged if something doesn’t click straight away—progress in maths comes from resilience and regular practice.

Most importantly, remember that improvement is gradual. With the right approach and enough practice, even the hardest topics become manageable.