About Harry Williams | Maths Tutor & Pearson Edexcel Examiner
Experience at a glance
More than ten years of teaching experience
More than six years of specialist online teaching and one-to-one support.
Current Pearson Edexcel IAL Maths and Further Maths examiner
600/600 achieved by one of Harry’s students at Harrow School Online
Former Head of Mathematics at Harrow School Online and Highgrove Education
Pearson Edexcel International A Level Maths and Further Maths examiner
Harry is a current examiner for Pearson Edexcel International A Level Mathematics and Further Mathematics.
He has so far examined P1 and has marked approximately 2,000 questions in his role as a Pearson Edexcel International A Level examiner.
Throughout his teaching career, Harry has marked thousands of examination and mock questions.
His examining experience gives him a detailed understanding of:
How mathematical reasoning should be presented
Where students commonly lose marks
How mark schemes distinguish incomplete solutions
The difference between a minor slip and an incorrect method
Harry uses this experience to help students understand not only how to reach an answer, but how to communicate their reasoning clearly enough to earn the available marks.
Harry’s examiner appointment is independent of Get Me That Grade. Pearson does not endorse or authorise the tuition service.
Exam Writing and Published Resources for Save My Exams
Alongside his work as a current Pearson Edexcel International A Level Mathematics and Further Mathematics examiner, Harry creates original examination and revision resources for Save My Exams.
His examination-writing work includes developing original model solutions for the 2020 Pearson Edexcel A Level Further Mathematics Core Pure Mathematics 1 and 2 past papers. He has also created a complete Pearson Edexcel International A Level Decision Mathematics 1 mock examination, including full model solutions.
These resources are available to Save My Exams members.
Harry has also written three articles for the Save My Exams Learning Hub, exploring challenging mathematical topics, difficult examination questions, and effective problem-solving techniques:
His published work reflects his approach to teaching: developing a thorough understanding of mathematics, recognising how different topics connect, and presenting clear, accurate solutions to demanding examination questions.
More than ten years teaching in leading schools
Harry’s teaching career spans leading UK independent schools and established online programmes, with a strong focus on academic excellence and university admissions preparation.
He has held Head of Mathematics roles at two respected institutions and brings over a decade of experience teaching students aged 11 to 18.
Highgrove Education (most recent): Head of Mathematics, teaching students from Year 10 to Year 13. Harry developed and delivered advanced mathematics curricula, including IAL and A Level Maths and Further Maths, and provided expert preparation for TMUA and STEP.
Harrow School Online: Head of Mathematics, guiding International A Level students to exceptional outcomes. He also delivered bespoke support for Oxbridge entrance tests (TMUA and STEP), helping students build the skills and confidence needed for success. His students regularly achieved top grades and won places at leading universities.
Abingdon School: Taught GCSE and A Level Maths and Further Maths, including during the Covid-19 lockdowns when teaching moved online. Harry supported students across a range of abilities and offered university entrance exam preparation, with a focus on TMUA and STEP.
Bradfield College: Taught Maths to students from Year 7 through to Year 13, including GCSE, A Level, and Further Maths. He played a key role in preparing sixth-form students for Oxbridge admissions tests, combining classroom teaching with targeted one-to-one guidance.
These roles have given Harry extensive experience across UK and international Mathematics curricula, from GCSE and IGCSE through to A Level, International A Level, Further Mathematics, and university admissions preparation.
Academic Background
Oxbridge & Entrance Exam Preparation
Harry holds a First-Class Master’s degree in Mathematics from the University of Sussex, where he was awarded both the IMA Prize and the Ede & Ravenscroft Examination Prize for academic excellence. He also undertook academic research through the university’s Junior Research Associate scheme.
He holds a PGCE in Mathematics from the University of Reading, with Qualified Teacher Status. Before specialising in Mathematics, Harry studied Biology at the University of Oxford.
At A Level, Harry achieved A* grades in Maths, Further Maths, Physics and Biology, including perfect scores in nearly all his Pure Maths modules.
Outstanding Results
Harry’s students consistently achieve results far above national and international averages. Recent results from Harrow School Online demonstrate his effectiveness as a teacher and leader:
2024 – International A Level Further Maths
43% A*
86% A*-A
100% A*-B
All students also achieved an A* in Maths. One student scored 600/600 in Maths — the best result in the world — and 598/600 in Further Maths, the highest in the continent.
2024 – International A Level Maths
35% A* (Global average: 17%)
60% A*-A (Global average: 42%)
80% A*-B (Global average: 60%)
2023 – International A Level Further Maths
80% A*
100% A*-A.
2023 – International A Level Maths
100% A*
Students taught and mentored by Harry have gone on to Oxford, Cambridge, Imperial, Warwick, UCL, St Andrews, and King’s College London, among others.
Harry has extensive experience preparing students for TMUA, ESAT, and STEP, used in admissions to mathematically demanding courses at Oxford, Cambridge, and other leading universities.
Students have consistently benefitted from Harry’s strategic insight, targeted problem-solving guidance, and clear communication style.
Specialist Maths Tuition
Harry offers specialist one-to-one tuition across Pearson Edexcel International A Level, UK A Level, International GCSE, and university admissions tests.
Choose the relevant qualification below to find out more about the tuition available.
Pearson Edexcel International A Level Maths
Specialist tuition for P1, P2, P3, P4, and the applied units, including individual units, resits, examination planning, past-paper preparation, and students working towards A*.
Pearson Edexcel International A Level Further Maths
Specialist tuition for FP1, FP2, FP3, and the relevant applied units, including individual units, resits, examination planning, and A* preparation.
Pearson Edexcel A Level Maths
One-to-one tuition for Pearson Edexcel A Level Mathematics (9MA0), covering Pure Mathematics, Statistics, Mechanics, past-paper preparation, examination technique, and support for students working towards the highest grades.
Pearson Edexcel A Level Further Maths
Specialist tuition for the two compulsory Core Pure Mathematics papers within Pearson Edexcel A Level Further Mathematics (9FM0): Core Pure Mathematics 1 and Core Pure Mathematics 2.
Maths University Admissions Tests
Focused preparation for TMUA, ESAT Mathematics 1 and Mathematics 2, and STEP 2 and STEP 3, including unfamiliar problem-solving, mathematical reasoning, examination strategy, and working effectively under time pressure.
Pearson Edexcel International GCSE Maths
Specialist support across Pearson Edexcel International GCSE Mathematics, from strengthening mathematical foundations and tackling difficult topics to past-paper preparation and working towards the highest grades. Support for related GCSE and Additional Maths qualifications is also available.
Testimonials and Google Reviews
“I did my Maths GCSE early in November and got a U. Harry became my tutor and I resat Maths. In the summer, I received my GCSE results and got a grade B.
The most useful thing about Harry’s tuition was everything! The biggest change for me was my understanding.
If another student was considering tuition, I’d say: have Harry as a tutor.”
“I wanted to improve the way I approached ESAT problems. Harry gave incredibly clear explanations and really helpful advice for dealing with the challenging time pressure of the test. Working with him changed the way I approach difficult problems and helped me spot the most time-efficient way of solving them. Harry’s help is 100% worth it. Even after my first session, I could already see ESAT questions differently and felt much more confident.”
“I wanted to develop deep mathematical knowledge and ensure the achievement of the highest grades. I found his explanations, guidance, and way of teaching things very useful; I have never grasped mathematical concepts so fast. Harry deepened my love with maths and took me from just a beginner to getting full UMS in P1 before the mid term break! I would particularly recommend his tuition to students who want the best grades and need to improve their understanding of Mathematics quickly.”
“Harry’s individual approach to each student was particularly valuable. He identified the key weaknesses and areas for improvement, helping to develop a deeper understanding of individual topics and improve the way problems were worked through.
I also really appreciated his teaching style, the way he interacted with the student, and the passion he brought to the lessons. I would highly recommend Harry.”
“I wanted to email to say a very big thank you for teaching me in the Lower Sixth and for all your support and help. Lower Sixth was when I realised how much I loved Maths and that I wanted to continue it on to University and I feel like that is credit to your teaching and enthusiasm. On Friday I will be leaving for university to study Mathematics. I am really excited to see what is store for me… I wouldn’t have been able to get this far without your teaching.”
— Charlie
“Thank you so much for teaching Maths! I genuinely enjoyed every single topic this year and I found the differential equations topic particularly interesting!”
— Frank
“I’m sorry to hear you’re leaving as you’re without doubt the best maths teacher I’ve ever had, even thought you’ve only taught me 1 year I’ve found your lessons informative and enjoyable, and your feedback always spot on and I’ll remember it forever.”
— Michael
“I wanted to thank you for all your help throughout the last year in Maths…. You were the most interesting and enthusiastic teacher that I have ever had and it made your lessons very fun even though maths was a subject that I previously found quite plain. As well as this, you were always very good at explaining topics and always bothered to make sure that we understood them.”
— Kiran
“(From a teaching colleague)
I’ve just had [student X]. He can be a tricky customer. We were studying a poem in which a boy described his school experience as intoxicating - I explained this meant he was almost drunk with excitement and enjoyment. [Student X] said that this is how he feels in his lessons with Mr Williams! He said he wishes his maths lessons with you would never end. Your lessons and Mr Simmon’s physics lessons are the only lesson where he is not always checking the clock. ”
— Katy
“It has been a privilege to have you as my maths teacher over the past year, and your quality of teaching is really what has accelerated my learning.”
— Elian
“Thank you for all you have done for me over the last 2 years. The enrichment sessions and lessons have really helped me and I don’t think I’d have got my Oxford offer without them.”
— Max
“I just wanted to say thank you very much for all the help you have given and offered me over the past 2 and a half years. You have made GCSE and A level (well so far at least) fun to learn and solve problems in.
You are a great explainer and have left me, so far, with probably the best understanding of any subjects I’ve studied so far and made Maths (even if I much prefer the applied part) one of my favourite subjects. Once again, thank you for all your help.”
— Tristan
“He is so nice, so understanding and encouraging! He really cares about every individual student and always takes the time to talk/explain things to us.”
“Always happy to provide advice and to help you plan ways to stay on top of all the work and emphasise the importance of balance. He also allows you to grow as an individual by helping you to identify your weaknesses and guides you to strengthen them one by one.”
“Mr Williams is the most cheerful and positive teacher I’ve ever had. As I’m sure all his students would agree, speaking to Mr Williams never fails to brighten your day.”
— Comments from students in anonymised end of year surveys
Frequently Asked Questions
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Harry takes a patient, calm, and structured approach to teaching Mathematics, adapting his explanations and the pace of lessons to each student's individual needs.
He breaks difficult concepts into manageable steps, encourages students to ask questions, and takes time to ensure they understand the reasoning behind a method rather than simply memorising it.
Whether a student is struggling with confidence or working towards the highest grades, Harry aims to provide a supportive, encouraging learning environment where they can develop their understanding without feeling rushed.
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Yes. Harry has extensive experience teaching students across a wide range of abilities, from those who need to strengthen their mathematical foundations to high-achieving students preparing for A* grades and competitive university admissions tests.
For students finding Maths difficult, lessons focus on identifying gaps in understanding, explaining challenging concepts clearly, and building confidence progressively.
For stronger students, Harry can concentrate on demanding examination questions, advanced problem-solving, accuracy, and the techniques needed to achieve the highest grades.
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Yes. Harry provides one-to-one online Maths tuition to students across the UK and internationally, including those based in the United Arab Emirates (UAE), Singapore, Hong Kong, Malaysia, and Nigeria.
He supports students attending international schools, online schools, and those studying independently or through home education. His teaching covers Pearson Edexcel International A Levels, UK A Levels, GCSEs, IGCSEs, and university admissions tests.
Lessons are delivered online from the UK, with appointments available across a range of times to accommodate different time zones. Students and parents can view available appointments and book directly through our online booking calendar.
For private candidates, examination entries must be arranged separately through an appropriate examination centre.
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Every tutorial is a live, one-to-one online session lasting 55 minutes. Lessons are tailored to the student's individual needs, whether that involves learning unfamiliar topics, strengthening existing knowledge, tackling difficult questions, or preparing for examinations.
Harry uses relevant examination questions and past papers to help students develop their mathematical reasoning and understand how marks are awarded.
He also sets homework after every tutorial and personally marks the completed work, helping students identify mistakes, consolidate their understanding, and make progress between lessons.
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Harry offers individual 55-minute tutorials and discounted packages of 10 lessons. Prices vary depending on the qualification and are published in the Maths tuition prices section below.
Appointments can be booked directly online, without needing to enquire first. Harry generally offers lessons seven days a week between 9 am and 10 pm UK time, although actual availability varies.
Choose the appropriate booking calendar to see available appointment times:
You can book a single tutorial or purchase a package for ongoing support.
Book a Maths Tutorial
Harry offers specialist one-to-one tuition for Pearson Edexcel International A Level Maths, including Further Maths, Pearson Edexcel A Level Maths, including Core Pure Further Maths, and International GCSE and GCSE Maths, alongside preparation for competitive university admissions tests.
Tuition is tailored to the individual student, whether they need support with difficult topics, examination technique, past papers, resits, progression towards the highest grades, or preparation for TMUA, ESAT Mathematics 1 and 2, or STEP 2 and 3.
Harry sets and personally marks homework after every tutorial, giving students the opportunity to consolidate their learning and receive individual feedback on their progress.
Sessions are 55 minutes and delivered live online.
Click below to choose the appropriate tuition type, check availability, and book a session.
Maths tuition prices
Harry’s one-to-one online Maths tutorials are 55 minutes.
GCSE / IGCSE Maths: £75 per individual tutorial, or £600 for a package of 10 tutorials (£60 per tutorial)
A Level / International A Level Maths and Further Maths: £100 per individual tutorial, or £800 for a package of 10 tutorials (£80 per tutorial)
TMUA / ESAT Mathematics 1 / ESAT Mathematics 2: £100 per individual tutorial, or £800 for a package of 10 tutorials (£80 per tutorial)
STEP 2 / STEP 3: £140 per individual tutorial, or £1,120 for a package of 10 tutorials (£112 per tutorial)
New Maths clients can use discount code FIRSTCLASS for 20% off their first individual Maths tutorial. The code can be used once per client and does not apply to tutorial packages or Biology tuition.