About Harry: Your Expert Maths Tutor
Harry is an experienced and highly qualified maths tutor who helps students achieve top grades at GCSE, A-Level, and International A-Level (IAL), including Further Maths.
He has over ten years of teaching experience, including Head of Department roles at leading online schools, and a strong track record of supporting students to excellent results. Many of his pupils have gone on to study at Oxford, Cambridge, and other top universities.
Harry is fully DBS checked and registered with the DBS Update Service, ensuring a safe and professional learning environment.
He is also experienced in working with home-educated students and offers an autism-friendly, structured approach that adapts to individual learning needs. Lessons are calm, encouraging, and focused on building both confidence and subject mastery.
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, and undertook academic research under the Junior Research Associate scheme.
He also 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.
As a student himself, Harry achieved the highest possible grades in A-Level Maths, Further Maths, Physics and Biology, including perfect scores in nearly all his Pure Maths modules. This first-hand experience of academic success informs the high standards he sets for his own students.
Academic Background
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.
2023 – International A-Level Further Maths
80% A*
100% A*-A
All students also scored A* in Maths.
2024 – International A-Level Maths
35% A* (Global average: 17%)
60% A*-A (Global average: 42%)
80% A*-B (Global average: 60%)
Students taught and mentored by Harry have gone on to Oxford, Cambridge, Imperial, Warwick, UCL, St Andrews, and King’s College London, among others.
Outstanding Results
Harry has extensive experience preparing students for the TMUA, MAT, and STEP exams required for Maths and related subjects at Oxford, Cambridge, and other competitive universities.
Students have consistently benefitted from Harry’s strategic insight, targeted problem-solving guidance, and clear communication style.
Oxbridge & Entrance Exam Preparation
Teaching Experience
Harry’s teaching career spans prestigious UK independent schools and leading online programmes, with a strong focus on academic excellence and Oxbridge 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, MAT, 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, MAT, 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, MAT, 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 provided Harry with comprehensive expertise in both UK domestic and international A-Level curricula, enabling him to support students to excel, whichever qualification they pursue.
Testimonials
“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 stay 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
Book a class.
Take the first step towards achieving your full potential.
Harry offers two types of premium one-to-one sessions:
Curriculum-Based Tutoring for GCSE, A-Level, and International A-Level Maths and Further Maths - ongoing support designed to build confidence, mastery, and top grades.
University Entrance Preparation for focused sessions for applicants to Oxford, Cambridge, and other top universities - Expert guidance for TMUA, MAT, and STEP exams.
No matter your goal, you’ll receive personalised, high-level support to help you succeed.
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