Maths olympiad training with a dedicated tutor for every round: UKMT JMC/IMC/SMC · BMO · AMC 8/10/12 · AIME · SMO · COMC · SASMO · Kangaroo — mapped to a single Grade 1–12 pathway toward the IMO. Verified mentors from IIT, Oxford, Cambridge and MIT, taught online worldwide.
The single grade-by-grade roadmap our Maths mentors follow — regardless of country.
Math Kangaroo · SASMO · MOEMS
Fall in love with problem-solving
SASMO · AMC 8 · JMC · MOEMS · NMOS
Build number-theory & combinatorics intuition
JMC · JMO · AMC 8/10 · SMO Junior · SASMO
Master proof technique on short problems
IMC · AMC 10/12 · SMO Senior · COMC · AIMO · IOQM
Cross into invitational / national rounds
BMO 1/2 · AIME · USA(J)MO · SMO Open · CMO · AMO · APMO · INMO
IMO team selection
Olympiad Pathways
The full maths olympiad ladder for your region — entry level all the way to national team selection.
Maths Olympiad · United Kingdom
GCSE · A-Level · IB · STEP · UKMT · BPhO · UKChO · BBO · BIO · UKLO
Progression ladder
Explore tracks
The first step on the UK maths olympiad ladder
Year 7–8By invitation from JMC — extended-answer problems
Year 7–8Year 9–11 · 25 MCQ in 60 minutes — gateway to Cayley/Hamilton/Maclaurin
Year 9–11Intermediate Olympiad — Year 9 paper · full-solution problems
Year 9Intermediate Olympiad — Year 10 paper · full-solution problems
Year 10Intermediate Olympiad — Year 11 paper · full-solution problems
Year 1125 MCQ in 90 minutes · gateway to BMO and Senior Kangaroo
Year 12–13Six full-solution problems, 3.5 hours
Year 12–13The final UK round before IMO selection
Year 12–1360-minute MCQ follow-on from JMC
Year 7–8IMC follow-on round · Year 11 · 25 MCQ in 60 minutes
Year 11IMC follow-on round · Year 9–10 · 25 MCQ in 60 minutes
Year 9–10SMC follow-on · 60 min · 20 numerical-answer questions
Year 12–13UKMT — for female mathematicians · 5 problems in 2.5 hours
Year 11–13One student, one mentor — no group classes. Your online maths olympiad tutor is matched to the exact round your child is sitting (UKMT JMC/IMC/SMC, BMO, AMC 8/10/12, AIME, SMO, COMC or the IMO ladder) and works through real past papers live, with written feedback on every proof. Sessions run in your own time zone, with a written progress note after each one.
IIT · Oxford · Cambridge · MIT backgrounds
Mentors are verified against their degree and olympiad record before they teach a single session.
UKMT, AMC/AIME, SMO, COMC & INMO experience
Each mentor coaches the rounds they have sat or trained for, so paper strategy comes from first-hand experience.
BMO, USAMO, INMO & SMO Open style
Line-by-line feedback on written solutions — the skill that separates shortlist rounds from medal rounds.
A free 30-minute diagnostic identifies whether your child starts at Math Kangaroo, JMC/AMC 8 or a national round — no wasted terms.
Weekly work on algebra, combinatorics, geometry and number theory — the exact mix that decides UKMT, AMC and IMO-ladder papers.
Timed mock papers with mentor debriefs, so your child walks into the real hall having already sat the format many times.
Olympiad rounds repeat in the same season every year, and the exact date is published by each organising body (UKMT, MAA, SIMO, CEMC). Use the typical windows below to plan backwards, then confirm the current year's date with your school or the official site before you book an entry.
| Round | Typical window | How to prepare |
|---|---|---|
| Math Kangaroo · MOEMS · SASMO (entry level) | Autumn to spring | Short multiple-choice papers — start 3 months out with weekly timed sets. |
| UKMT Junior & Intermediate Challenge (JMC/IMC) | Spring (JMC) · early spring (IMC) | 25 questions in 60 minutes. Speed and accuracy decide the follow-on round invitation. |
| AMC 8 | Winter | Best entry point for US-curriculum students in Grades 6–8. Counting, probability and number theory carry the paper. |
| AMC 10 / AMC 12 | Autumn (two sittings, A and B) | Both sittings can be taken. Qualifying score routes straight into AIME. |
| UKMT Senior Challenge (SMC) & BMO 1 | Autumn (SMC) · late autumn (BMO 1) | BMO 1 is full written proof — proof-writing practice must start months earlier, not after the SMC result. |
| AIME | Late winter / early spring | Integer answers, no partial credit. Train checking discipline and careful case work. |
| BMO 2 · USA(J)MO · SMO Open · INMO · CMO | Late winter to spring | National finals. 12–24 months of structured training is realistic for a strong result. |
| APMO · IMO team selection · IMO | Spring to July | Selection camps run after the national final; IMO itself is held in July. |
Fix the target round first, then count back: 3–6 months for an entry paper, 12–24 months for a national final. Weekly consistency beats a holiday cram.
Past papers under exam conditions are the single highest-return activity. Mark them strictly, then rework every missed problem from scratch without notes.
BMO, INMO, SMO Open and USAMO award marks for the written argument. Practise full write-ups long before the invitation arrives.
Algebra, combinatorics, geometry and number theory. Most students quietly avoid one of them — that gap is what costs the cutoff.
Record every error by cause (misread, algebra slip, missing idea). Reviewing the log before a paper is worth more than another new problem set.
Most rounds are entered through the school, and registration closes weeks before the paper. Ask your school's maths lead at the start of the term.
Every maths olympiad round rewards a different skill. These guides explain how we coach the UKMT challenges, the American AMC 8/10/12 and AIME ladder and the British Mathematical Olympiad, with year-by-year past papers and a round-specialist mentor for each.
The Junior, Intermediate and Senior Maths Challenges reward speed, estimation and careful multiple-choice strategy. Mentors drill timed past papers, then follow-on rounds — Junior/Grey/Pink/Senior Kangaroo and Cayley, Hamilton and Maclaurin — where full written answers are required. Mentors on this track have sat UKMT rounds themselves and coach paper-specific timing, not generic problem sets.
AMC 8 rewards accuracy under time on 25 questions in 40 minutes. Coaching runs full past contests from 1985 to 2026 with answer keys and official solutions, then topic sprints in counting, number sense and geometry so the honour-roll cutoff is reached on pace rather than by rushing.
AMC 10/12 work is built around timed 25-question A and B papers from real contests, with topic sprints in counting and probability, number theory and geometry — the areas that decide the AIME cutoff. Mentors mark every attempt, track which of the last five questions were missed, and rebuild the week around that pattern.
AIME gives 15 problems in three hours with integer answers from 000 to 999, so a single slip costs a whole problem. Training focuses on case discipline, clean bookkeeping, checking strategies and the heavier algebra, combinatorics and geometry that AMC never reaches — with mentors who have qualified for AIME and the USA(J)MO ladder.
The British Mathematical Olympiad asks for full written proofs, so coaching moves from answer-finding to argument writing: invariants, extremal arguments, constructions and rigorous geometry, with written feedback on every solution submitted by mentors who write proofs professionally.
Official paper archives with our own topic breakdowns, mark boundaries and step-by-step worked solutions.
Pricing
Sample rate shown for intermediate Maths Olympiad coaching. Each track page lists its exact pricing.
4 sessions
Total: $72
Try it out — single-topic boost
10 sessions
Total: $15414% off
Most popular — half-term progress
20 sessions
Total: $25729% off
Exam-prep momentum — best value per hour
40 sessions
Total: $41143% off
Best offer — full-season olympiad training
Free 30-minute diagnostic session for all new students.
Book a free 30-minute diagnostic — we'll place them on the right ladder in any country.
