All the OCR GCSE Maths Past Papers you will ever need

GCSE Maths Higher Paper 4 (J560/4H)

As a tutor, I often get asked where to find resources to revise for the OCR Maths Higher exam. Here I have collected all the past papers from paper 4 (J560/4H) for you, and put them in one place.

GCSE Maths Higher Paper 5 (J560/5H)

Here you can find the past papers, mark schemes, and model answers for the Higher Paper 5, GCSE Maths (J560/5H)

GCSE Maths Higher Paper 6 (J560/6H)

Here you can find the past papers, mark schemes, and model answers for the Higher Paper 6, GCSE Maths (J560/6H)

Check out some of our other past papers

• AQA GCSE Maths Past Papers
• Edexcel GCSE Maths Past Papers

Greenhill Academics’ Expert OCR GCSE Maths Tutors

At Greenhill Academics, our approach to GCSE Maths tutoring is built around exceptional tutors who combine academic excellence with genuine teaching ability. Here are some of the outstanding maths tutors who help our students transform from falling behind to getting ahead:

Ramsay – “The Olympiad Champion Who Makes Hard Questions Simple”

Currently studying Mathematics at the University of Oxford (Exeter College), Ramsay achieved a Distinction in Prelims and was awarded both the East Scholarship and the Fitzgerald Prize for academic excellence. His exceptional achievement in mathematical competitions – earning Distinctions in both rounds of the British Mathematical Olympiad and placing among the top 40 students nationally – gives him unique insight into tackling challenging problem-solving questions. Ramsay’s calm, clear teaching style transforms past paper practice into a strategic exercise, helping students identify the recurring themes and progression patterns that lead to confident, high-scoring performances.

Morgan – “The Data Interpreter Who Turns Numbers into Knowledge”

Morgan is currently studying for an MChem degree in Chemistry at the University of Oxford (Jesus College), where he achieved First Class Honours and an academic scholarship. With three A*s at A Level in Chemistry, Biology, and Mathematics, and nine Grade 9s at GCSE, Morgan understands exactly what it takes to achieve top marks in examinations. Over four years of tutoring experience have refined his ability to help students master distinctive approaches to statistical questions and data interpretation problems. Morgan specializes in helping students develop the precise working and clear communication that examiners specifically reward, leading to dramatic improvement in grades over relatively short timeframes.

Max – “The Engineering Mind Who Brings Maths Problems to Life”

Max, a fourth-year Engineering student at Emmanuel College, University of Cambridge specializing in Aerospace and Mechanical Engineering, excels with practically-oriented questions. Completing the International Baccalaureate with 42/45 points and top scores in Higher Level Maths and Physics, Max brings real-world context to applied mathematics problems. His background in engineering allows him to break down complex material into intuitive, accessible steps particularly valuable for scenario-based questions. Max helps students develop both the computational accuracy and interpretive skills needed to excel across paper ranges, from foundation through to the challenging final questions on higher papers.

Greenhill Academics

When your child works with a Greenhill Academics tutor, they’re not just getting help with GCSE Maths – they’re building a relationship with someone who understands both the subject and the journey from confusion to confidence. Our approach is always personal, always focused on the individual student’s needs, and always aimed at transforming “falling behind” into “getting ahead.”

Ready to help your child regain confidence in maths? You can contact us today to be matched with the perfect GCSE Maths tutor.

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All the AQA GCSE Maths Past Papers

GCSE Maths Higher Paper 1 (8300/1H)

As a tutor, I often get asked where to find resources to revise for the AQA Maths Higher exam. Here I have collected all the past papers from paper 1 (8300/1H) for you, and put them in one place.

GCSE Maths Higher Paper 2 (8300/2H)

Here you can find the past papers, mark schemes, and model answers for the Higher Paper 2, GCSE Maths (8300/2H)

GCSE Maths Higher Paper 3 (8300/3H)

Here you can find the past papers, mark schemes, and model answers for the Higher Paper 3, GCSE Maths (8300/3H)

Greenhill Academics’ Expert AQA GCSE Maths Tutors

At Greenhill Academics, our approach to GCSE Maths tutoring is built around exceptional tutors who combine academic excellence with genuine teaching ability. Here are some of the outstanding maths tutors who help our students transform from falling behind to getting ahead:

Maria – “The Mark Scheme Decoder Who Turns Confusion into Confidence”

Maria is a Mathematics graduate from the University of Cambridge with over 7 years of specialist tutoring experience. Her exceptional academic record of AAAAA at A Level and 100% scores in nearly all mathematics modules gives her unparalleled insight into assessment approaches. Maria has developed specific techniques for mastering distinctive question styles and mark scheme requirements, helping students increase by up to 3 grades in months. Recently, she transformed one student from a Grade D to A* in just 3 months. Her systematic approach to past papers eliminates exam anxiety while building both the technical knowledge and precise working methods that examiners reward.

Hugh – “The Pattern Master Who Makes Exam Questions Conquerable”

Hugh brings over a decade of tutoring experience alongside his First-Class MSci in Theoretical Physics from Imperial College London. His scientific background makes him particularly effective with applied mathematics questions that require careful interpretation. Hugh has helped more than 20 recent students exceed their predicted grades through his methodical approach to past papers. Known for reframing complex topics and explaining them from multiple angles, Hugh excels with students who need to understand the mathematical reasoning behind question progression, ensuring they can tackle any question style with confidence.

George – “The Results Accelerator Who Doubled Top Grades in One Year”

With over 2,000 hours of tutoring experience and A* grades in A Level Maths, Further Maths, Economics, and Computer Science, George brings a results-driven approach to exam preparation. At just 18, he spent a year teaching full-time at A Level and GCSE, during which his students’ A-A* grades in mathematics doubled compared to the previous year. George specializes in breaking down question patterns across different papers and years, teaching students not just how to solve problems but how to recognize what’s being tested. His friendly, structured approach demystifies assessment objectives, helping students maximize their marks through strategic past paper practice.

Greenhill Academics

Ready to help your child regain confidence in maths? You can contact us today to be matched with the perfect GCSE Maths tutor.

AQA GCSE Maths Past Papers FAQs

Building Greenhill Academics

A Mission to Change Education Through People and Technology

Education is not made to fit all students.

Parents and students often find themselves lost academically despite following the path laid out by existing institutions. They are often made to feel insufficient or broken for not fitting the mold, for whatever reason this may be.

However, it seems unreasonable that this one-size-fits-all approach SHOULD fit all students. But we live in a time where there are alternative options available.

As both a student who’s used private tuition and tutor who’s taught all ages, I’ve seen this firsthand. Students struggle, not because they weren’t capable, but because they weren’t given the right support at the right time. Parents are frustrated by the lack of transparency and quality control in private tuition. And highly capable tutors struggle to reach the students in need of help.

I wanted to fix this. So I built Greenhill Academics.

It Kinda Built Itself…

I never set out to build a tutoring company. I simply used my knowledge of my subjects to help students improve, and parents asked for different subjects. I joined forces with academics who I knew from Oxford and Cambridge universities to provide high quality tuition.

The more parents who I interacted with, the more I noticed the same issues:

• Parents struggled to find high-quality, reliable tutors.
• Tutor performance was mixed when time was short before important exams
• Students and tutors struggled to make impactful connection

I knew there had to be a better way.

So, I started by focusing on quality. Every tutor at Greenhill Academics has attended one of the top universities in the world—usually Oxford or Cambridge. We rigorously screen tutors to see whether they match our philosophy on education.

Then, I tackled transparency to make sure parents and students felt less lost in the process. We use clear, structured learning path—not just ad-hoc lessons. We built systems to track progress, provide feedback, and ensure every student was actually improving, not just clocking in hours.

And finally, I wanted to give tutors the respect they deserved. No more underpaid, low-commitment jobs. We built a model where top educators could thrive, focusing on teaching rather than chasing clients or dealing with admin.

The Bigger Mission: Changing Education Through People and Technology

Greenhill Academics uses the combination of both people and technology to provide the absolute best possible service.

We believe education should be:

• Personalised: Every student learns differently, and teaching should adapt to them—not the other way around.
• Human: Great tutors don’t just teach subjects; they inspire confidence, curiosity, and a love for learning.
• Efficient: Technology should enhance learning, not replace it. We use automation and AI to streamline processes but keep teaching deeply personal.
• Ethical: Our tutors aren’t just freelancers-for-hire; they’re part of a professional community that values integrity and impact.

Where We’re Going Next

Right now, Greenhill Academics is growing fast. We’ve built a reputation for quality, and we’re working with students across the UK and beyond. But we’re just getting started.

• We’re using technology to provide high quality lessons with the fastest booking system.
• We’re developing better onboarding and training for tutors to ensure the highest standards.
• We’re expanding into international tutoring to help students worldwide access top-tier education.

Most importantly, we’re staying true to our mission: changing education through people and technology.