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.
Higher Paper 4
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)
Higher Paper 5
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)
Higher Paper 6
Check out some of our other 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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FAQs
My child lacks confidence—how will tutoring help?
Many students struggle with confidence, especially if they’ve had a bad experience in school or feel overwhelmed by the subject. Our tutoring approach helps students build confidence by breaking down difficult topics, reinforcing understanding, and celebrating progress.
My child is already working hard—why are they still struggling?
Studying isn’t just about memorising facts; your child must learn how to apply knowledge to unfamiliar contexts, especially in exams. Many students put in hours of revision but struggle with exam technique, structuring answers, or understanding mark schemes. A tutor can help identify and address these specific challenges.
How do I know if the tutoring is working?
We track progress through regular assessments, exam-style questions, and feedback from both the student and tutor. You’ll receive updates on improvements, areas of focus, and strategies for further progress.
Which exam boards do you cover?
We tutor for AQA, OCR, Edexcel, WJEC and CIE exam boards. We also cover the International Baccalaureate (IB)
How do online tutoring sessions work?
We set up a learning space which is joined at the time of a session. In the learning space, students are on video call with our tutors and use an interactive whiteboard with resources. Parents and students are often surprised how easy it is!
How often should my child have tutoring sessions?
This depends on their current level and goals. Some students benefit from weekly sessions for consistent progress, while others may prefer more intensive lessons closer to exams. We can recommend a schedule based on your child’s needs.
What if my child has a busy schedule?
We offer flexible scheduling, including evening and weekend sessions, to fit around your child’s commitments. Tutoring is designed to be productive and efficient, so even one hour a week can make a significant difference when supported with independent study.
Why are Greenhill Academics tutors considered the best you can find?
We select tutors with exceptional academic backgrounds, proven experience in helping students reach their goals, and in-depth knowledge of exam board requirements.
How do I get started?
Getting started is easy! Simply contact us to book a quick consultation, and we’ll select a tutor from our team who is the best match for your child.
