Online Maths Tutor (PhD): A-Level & IB Specialist

Calm, structured, exam focused. With 8,000+ online lessons taught, I provide expert guidance that AI and inexperienced tutors can’t replicate: personalised feedback, proven exam strategies, and clarity that builds confidence.

8,000+ Online Lessons | Enhanced DBS | Qualified Teacher | Ex Head of KS3 & KS4 Maths

Portrait of Alastair Keddie

I have 40 five-star reviews on Tutor Hunt and 25 five-star reviews on Superprof .

Real reviews from parents and students: click links to verify on the platforms.

TMUA & ESAT Maths Preparation Groups

Small-group online preparation for the October 2026 entrance tests, with a strong focus on speed, strategy and performing accurately under time pressure. A short pre-course diagnostic helps target the lessons from the outset.

Maximum 6 Students | 60 Minutes Weekly | £40 per Session | Homework and Pre-Course Diagnostic Included

Find out more

About Me

I am Dr Alastair Keddie, a qualified teacher and full-time online Maths tutor with a PhD from Imperial College London. I have classroom teaching experience in an OFSTED-rated Outstanding secondary school where I was also Head of Maths for Key Stage 3 (ages 11-14) and Key Stage 4 (ages 14-16). I have taught 8,000+ online lessons with a proven track record of helping A-Level and IB students boost their grades and secure places at top universities including Oxford, Cambridge and Imperial. My calm, structured approach builds confidence, sharpens exam technique, and delivers results.

I specialise in motivated A‑Level and IB students aiming for strong grades and competitive university courses. I am not a homework‑help or last‑minute cramming service.

  • PhD in Mechanical Engineering (Imperial College London)
  • MSc with Distinction in Mathematics of Non-Linear Modelling (University of Edinburgh)
  • BSc First Class Honours in Mathematics & Sports Science (Loughborough University)
  • PGCE in Mathematics (King’s College London)
  • Enhanced DBS

Full certificates can be provided on request.

Portrait of Alastair Keddie

What I Teach

A-Level Maths tutoring: Pure, Mechanics, Statistics

A-Level and IA-Level Maths

All exam boards covered. I cover all parts of the syllabus (Pure, Mechanics, Statistics) so you don't need different tutors for each paper. Clear methods and disciplined exam technique.

Further Maths tutoring: Decision, Further Mechanics, Further Statistics, Further Pure

A-Level Further Maths

All exam boards covered. I cover all options (Decision, Further Mechanics, Further Statistics, Further Pure) so you don't need different tutors for each module.

IB Maths AA and AI tutoring: SL and HL

IB Maths

Analysis and Approaches (AA) and Applications and Interpretation (AI) at Standard Level and Higher Level. Focus on algebraic fluency, function language, proof, calculator discipline.

IGCSE and IAL Maths tutoring

GCSE and IGCSE

All exam boards covered. Strong foundations, method marks, and timing under exam conditions.

Maths Challenge tutoring

Maths Challenge

I help students prepare for the Junior, Intermediate, and Senior Maths Challenge. We work through past problems, learn strategic approaches, and build problem-solving skills that stretch beyond the curriculum.

University entrance exam tutoring

University Entrance Exams

I prepare students for TMUA, ESAT, STEP and other university entrance assessments. We focus on rigorous problem-solving, efficient time management, and exam strategies tailored to each test’s unique style.

How I Work: Beyond Tutoring

Maths Coach

  • I guide revision between lessons to maintain momentum and avoid last-minute stress.
  • Targeted homework is marked outside lessons, keeping lesson time focused on teaching and higher-value practice.
  • Exam technique and time management turn knowledge into marks under pressure.
  • Practical checking routines help catch errors quickly and build confidence.

Human over AI

  • AI can show steps; I diagnose misconceptions so the same mistakes do not keep recurring.
  • I build habits that transfer between topics, making unfamiliar questions more manageable.
  • I prioritise revision around your exam board, timing and the areas with the greatest mark potential.
  • Families have a consistent tutor to contact between lessons when questions arise.

Tools I Use

  • Zoom or Microsoft Teams for reliable live lessons and screen sharing.
  • Shared OneNote keeps notes, examples and homework together and available 24/7.
  • Interactive OneNote lets me see your working in real time and correct mistakes immediately.
  • A custom question builder provides targeted exam practice matched to the areas you need.

What I Offer

Online maths lesson overview
Live collaborative working in OneNote, with both student and tutor writing in real time.

Ongoing Support

Weekly Lessons

  • Regular 60‑minute sessions that steadily build understanding and marks.
  • Diagnose gaps, practise exam techniques, and improve time management.
  • Includes timed questions with feedback to strengthen exam confidence.
  • Regular progress updates for parents, available via phone or email.

Daytime Lessons

  • Morning and early afternoon UK time slots available.
  • Ideal for home-educated students and those in different time zones.
  • One-to-one or small group options available.

Homeschooling and Resits

  • For students out of school, I take full responsibility for teaching and exam preparation.
  • Structured curriculum coverage with regular assessment and feedback.
  • Tailored programmes to secure strong outcomes in resits or home education settings.

A Good Fit

Tuition works best when students are willing to practise between lessons. I set targeted homework, mark it outside lesson time and use the results to shape what we do next.

  • Students should be prepared to complete the homework I set and share it with me for marking.
  • Parents can help keep the routine on track, and I am happy to provide progress updates when useful.
  • The strongest progress comes from regular lessons combined with short, consistent practice.

This is structured, exam-focused tuition rather than last-minute homework help or cramming.

Testimonials: What Parents Say

I have 40 five-star reviews on Tutor Hunt and 25 five-star reviews on Superprof .

"Thank you for being so calm and an excellent teacher… we really are grateful."

A-Level resit student (improved from C to A)

"Thank you so much for helping both boys to achieve their A*s in maths. The papers you made them really made a big difference."

Parent of A-Level students – one to Oxford, one to UCL

"It is wonderful news – he got his 9! Thank you so much, you have been such an incredible and awesome teacher."

IGCSE student who I homeschooled for 2 years (grade 9 achieved two years early)

"IB results just released – a 7 in Mathematics, the highest score awarded! Mathematics was his weakness, however thanks to you he achieved high marks there."

IB AI SL student (grade 7)

"He exceeded his Oxford offer – your amazing support over the past 2 years really made a huge difference."

Parent of A-Level student (OCR exam board)

"A huge improvement from the D he got in his mock – he achieved an A at A level. Due largely to your expert guidance."

Parent of A-Level student

"I just wanted to let you know that I got an A* in further maths – I could not have got consistently good results without your help."

Further Maths student (now studying at The University of California, Santa Barbara)

Rates

Option Details Fee
Lesson (flat rate) 60 minutes - online £90
TMUA/ESAT preparation group 60 minutes - per student £40

Cancellation policy: Please give at least 24 hours' notice to reschedule or cancel a lesson. Lessons cancelled with less than 24 hours' notice or no-shows are chargeable.

I am happy to discuss reduced rates for homeschooled students or those available for lessons during off-peak hours (weekdays during school hours).

Bookings

Lessons can be booked directly using the form below. Please note that weekend slots are not available to book through this system. If you are interested in weekend availability, feel free to get in touch as I may be able to offer times on request.

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Contact

By sending this form you consent to me contacting you about tutoring. I do not share your details with third parties.

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Alastair Keddie
Alastair Keddie
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Expert A-Level & Further Maths Tutor | 8000+ Lessons Delivered | PhD, MSc, PGCE | UK & International Students

Self Employed | Imperial College London

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Online from Glasgow, UK. Time zones welcome.