Intermediate Stage · Olympiad · Year 11 · Gateway
Maclaurin Mathematical Olympiad — the Year 11 Capstone and the Gateway into the Senior Pathway
Maclaurin is the capstone of the three Intermediate Mathematical Olympiads, sat each March by the strongest Year 11 entrants in the Intermediate Mathematical Challenge. It is also the conventional gateway into the Senior pathway: strong Maclaurin performers are well-prepared for the Senior Mathematical Challenge in October of Year 12 and the British Mathematical Olympiad Round 1 in November of Year 12.
Maclaurin at a glance
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Overview
The Capstone of the Three Intermediate Olympiads
Maclaurin is sat each March by approximately the top one per cent of Year 11 Intermediate Mathematical Challenge entrants — the strongest Year 11 mathematicians in Britain. It is the third and capstone of the three named Intermediate Olympiads, and the standard gateway into the Senior pathway. Maclaurin Distinction holders are conventionally regarded as well-prepared for BMO Round 1 entry in Year 12.
Maclaurin uses the same six-problem, two-hour, full-written-solution format as Cayley (Year 9) and Hamilton (Year 10), with marking by the UKMT problems panel and certificates awarded at the Distinction, Merit and Qualification tiers. Calibration sits Maclaurin at the senior end of the Intermediate stage — Maclaurin problems approach the difficulty of early Senior Mathematical Challenge questions, and the strongest Maclaurin papers approach early BMO Round 1 territory. Maximum total mark is 60, ten marks per problem.
The paper is named for Colin Maclaurin (1698–1746), the Scottish mathematician whose work on infinite series, calculus, and algebraic geometry shaped eighteenth-century British mathematics. Maclaurin’s name endures in the modern undergraduate curriculum through the Maclaurin series (the special case of the Taylor series centred at the origin) and in the older “Maclaurin’s theorem” formulations of calculus that British schools taught for two centuries afterwards. Honouring Maclaurin at the capstone of the Intermediate stage gives Year 11 Olympians an end-of-pipeline marker that connects them to the Scottish enlightenment tradition.
The Maclaurin paper draws across all four standard Olympiad areas — algebra, number theory, combinatorics, plane Euclidean geometry — and pushes each into Olympiad territory. The Year 11 syllabus assumption is full GCSE-level secondary mathematics: completion of square in algebra, full circle-theorem geometry, basic trigonometric identities, modular-arithmetic intuition. The hardest problems combine two of these areas in a single argument, often requiring the candidate to recognise a geometric structure that yields to algebra, or a counting structure that yields to a number-theoretic observation.
The pipeline implication of Maclaurin is substantial. Maclaurin Distinction in Year 11 is the canonical Year-11 marker for serious Olympiad-track students; conventionally these students proceed to Senior Mathematical Challenge entry in October of Year 12, with a view to BMO Round 1 invitation in November. The preparation pattern that earns a Maclaurin Distinction — sustained problem-solving practice, Engel reading, geometric construction practice — carries forward directly to BMO Round 1 preparation in the following autumn.
Format
Maclaurin Paper Format
Six open-ended problems sat over two hours on a national date in late March (Thu 19 Mar 2026), by qualifying IMC score or discretionary entry. Identical paper format to Cayley and Hamilton, calibrated for the Year 11 cohort at the senior end of the Intermediate stage.
Maclaurin Mathematical Olympiad · Year 11
Format at a glance
- SatLate March (Thu 19 Mar 2026), national date
- Duration2 hours from start to finish
- Problems6 open-ended, equal weight, written solutions
- CalculatorNot permitted
- EligibilityYear 11 (S4 in Scotland, Year 12 in Northern Ireland); by IMC score or discretionary entry
- MarkingCentralised UKMT problems panel
- AwardsDistinction, Merit, Qualification certificates · book prizes for top tier
- Max marks60 (10 per problem)
What Comes Next
After Maclaurin — Senior Mathematical Challenge and BMO Round 1
Strong Maclaurin performers roll forward into Year 12 and the Senior stage of the UKMT pipeline. The Senior Mathematical Challenge in October is the gateway to BMO Round 1 in November, with the full pathway running through to the Trinity Camp and the IMO Team UK selection.
Frequently Asked
Six Questions about the Maclaurin Olympiad
Six questions students and parents most often ask about the Maclaurin Olympiad and its role in the BMO pathway.
- Who can sit the Maclaurin Olympiad?
- Maclaurin is open to Year 11 students (S4 in Scotland, Year 12 in Northern Ireland). Students qualify by IMC score or discretionary entry by their school; around 1,800 students qualify across the three Intermediate Olympiad papers (Cayley, Hamilton, Maclaurin) each year. Invitations are issued to schools in late February, who pass them on to students. There is no separate entry fee for invited students.
- How is Maclaurin different from Cayley and Hamilton?
- The three Intermediate Olympiads share identical format — six problems, two hours, written solutions, marked by UKMT — but split by year group and calibrate problem difficulty accordingly. Maclaurin is the hardest of the three, sitting at the senior end of the Intermediate stage. Maclaurin problems can approach early Senior Mathematical Challenge difficulty, where Cayley (Year 9) and Hamilton (Year 10) papers sit clearly below SMC level.
- What is the relationship between Maclaurin and BMO Round 1?
- BMO Round 1 eligibility itself is determined by nationality and school registration, not by Maclaurin performance. There is no automatic invitation from Maclaurin to BMO. However, the preparation pattern that earns a Maclaurin Distinction in Year 11 maps directly to BMO Round 1 preparation in Year 12, and Maclaurin Distinction holders are conventionally regarded as well-prepared for BMO Round 1 entry in the autumn of Year 12. The two pathways are not formally linked but tightly correlated.
- What problem areas does Maclaurin emphasise?
- Maclaurin draws across all four standard Olympiad areas: algebra (full GCSE syllabus including completion of square and quadratic-equation theory), elementary number theory (modular arithmetic, divisibility), combinatorics (inclusion-exclusion, bijections, pigeonhole), and plane Euclidean geometry (full circle-theorem syllabus, similar-triangle constructions). The hardest problems require recognising structural connections across these areas.
- How should I prepare?
- Past-paper practice is the foundation — UKMT publishes the Maclaurin paper archive with full solutions and mark schemes. Beyond past papers, the standard preparation reading is Engel’s Problem Solving Strategies (all chapters, with particular attention to combinatorics and number theory) plus Gardiner and Bradley’s Plane Euclidean Geometry for the geometric content. Two to three problems per week of attempted written solution, sustained from autumn of Year 11, is the consensus preparation pattern for serious Maclaurin candidates.
- What does Maclaurin Distinction signal for university admissions?
- Maclaurin Distinction is a recognised marker on UK university admissions records, particularly for mathematics, computer science and natural-science applications at competitive universities. Maclaurin Distinction is valued by top UK university mathematics departments as an indicator of exceptional ability alongside SMC Gold, BMO performance, and STEP Mathematics Admissions Test scores. The signal is strongest when paired with subsequent BMO Round 1 entry and engagement.
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For Year 11 students preparing for Maclaurin and the transition to BMO Round 1 entry in Year 12, the WhatsApp advisor can help with structured reading lists, past-paper schedules, and the route into the Senior Mathematical Challenge and the BMO Subtrust pipeline. Written exchanges in English or Chinese welcomed.