Junior Stage · Olympiad · Year 7–8
Junior Mathematical Olympiad (JMO) — the Pipeline’s First Written Olympiad
The JMO is the first written Olympiad in the UKMT pipeline, sat each June by the top-scoring Year 7 and Year 8 students from the Junior Mathematical Challenge. Six Olympiad-style problems, each worth 10 marks (60 marks total), sat over two hours, with full written solutions required throughout. Distinction and Merit certificates plus Gold, Silver and Bronze medals at the upper tier.
JMO at a glance
problems, 10 marks each
duration
year groups
by invitation
Overview
The First Written Olympiad in the UKMT Pipeline
The Junior Mathematical Olympiad is sat each June by around 1,200 Year 7 and Year 8 students who qualify from the Junior Mathematical Challenge, plus a smaller number entered at school discretion (for an additional fee per school’s choice). It is the first written Olympiad in the UKMT pipeline and the first opportunity British students have to attempt full written solutions to Olympiad-style problems.
Since 2025 UKMT has used a single-section JMO format: six Olympiad-style problems, each worth 10 marks (60 marks total), all requiring full written solutions with clear chains of reasoning. The paper is marked by hand by the UKMT problems panel, and partial credit is awarded for solutions that demonstrate the right idea even if they fail to close the argument. The earlier two-section structure (a short-answer Section A plus a written Section B) was retired with the 2025 reform.
The paper is sat over two hours on a fixed national date in mid-June, on the same day as the Junior Kangaroo. Students who qualify for both must choose, and UKMT publishes guidance on the choice each year. The conventional advice is to sit the JMO if eligible — its written-solution format is the more selective round and the more useful preparation for the Intermediate Olympiads in subsequent years.
JMO awards Distinction certificates to the top 25 per cent of entrants and Merit certificates to the next 40 per cent. The leading 200 scorers also receive medals: Gold for around the top 40, Silver for the next 60, and Bronze for the next 100. All medallists additionally receive book prizes at a national awards ceremony held in autumn. JMO Distinction holders are flagged in their school records as candidates for the Intermediate Olympiad pipeline (Cayley in Year 9, Hamilton in Year 10, Maclaurin in Year 11), although direct Intermediate Olympiad invitation comes via the IMC each February rather than JMO performance.
Strong JMO performance is the conventional gateway into UK Olympiad-circuit preparation. Students with JMO Distinction in Year 7 or Year 8 typically continue with regular problem-solving practice through Year 9 and onwards, building the deep reading habits that the Senior Olympiads — and ultimately the British Mathematical Olympiad — reward.
Format
JMO Paper Format and Marking
A single-section paper sat over two hours each June: six Olympiad-style problems, each worth 10 marks (60 marks total), all requiring full written solutions. Centralised UKMT marking awards Distinction (top 25%) and Merit (next 40%) certificates, plus Gold, Silver and Bronze medals at the top of the score distribution.
Junior Mathematical Olympiad · JMO
Format at a glance
- SatMid-June, national date by invitation
- Duration2 hours from start to finish
- Problems6 Olympiad-style problems · full written solutions · 10 marks each (60 total)
- Marks60 marks total · partial credit on each problem
- CalculatorNot permitted
- MarkingCentralised UKMT panel; partial credit on every problem
- AwardsDistinction (top 25%), Merit (next 40%) · Gold/Silver/Bronze medals for top ~200 · book prizes for all medallists
- EligibilityBy invitation from JMC results (~1,200 qualifiers); schools may also enter additional students at discretion for a per-student fee
Problem Style
A Representative JMO Problem
JMO problems are short in statement but require careful reasoning over mechanical computation. The classic problem types are pigeonhole arguments, elementary number theory, careful counting, and elementary Euclidean geometry. Below is a representative JMO-style problem.
Problem (in JMO style)
A grid of dots is laid out in 5 rows and 7 columns. Each dot is coloured either red or blue. Prove that there must exist a rectangle, with sides parallel to the rows and columns of the grid, whose four corner dots are all the same colour.
What a strong solution would establish
This is a classic pigeonhole problem suitable for a Year 8 student who has seen the principle once or twice before. A complete solution would proceed in two steps: first observe that each column of five dots must contain at least three of the same colour (by pigeonhole on five dots and two colours); second, argue that with seven columns, two must agree on the dominant colour at two row positions, giving the required rectangle.
Marking awards up to ten marks per problem (60 marks total across the six problems). A complete chain of reasoning earns full marks. A solution with the right idea but a missing step earns partial credit (typically six to eight marks). A solution that gets only part of the argument right earns the lower partial credit (two to four marks). The marking scheme rewards completeness of argument, not elegance — a long-winded but airtight proof outscores an elegant but incomplete sketch.
What Comes Next
After the JMO — Intermediate Stage Olympiads
JMO Distinction holders typically progress into the Intermediate Olympiad pipeline. Cayley (Year 9), Hamilton (Year 10), Maclaurin (Year 11) are the three year-specific Intermediate written Olympiads. Strong Maclaurin performance is the conventional gateway to BMO Round 1 in Year 12.
Frequently Asked
Five Questions about the JMO
Five questions parents and students most often ask about the Junior Mathematical Olympiad.
- Who can sit the JMO?
- Around 1,200 students qualify for the JMO each year through their Junior Mathematical Challenge score; invitations are issued to schools in May. Schools may also enter additional students at their discretion for a per-student fee. Students do not apply individually — entry is handled by the school.
- What’s the format of the paper?
- Six Olympiad-style problems sat over two hours in mid-June, all requiring full written solutions and each worth 10 marks (60 marks total). No calculator is permitted. The pre-2025 two-section format (Section A short-answer + Section B written) was retired with the 2025 UKMT reform.
- How is the JMO marked?
- All six problems are marked by hand by the UKMT problems panel, with partial credit awarded for solutions that demonstrate the right idea even if they fail to close the argument. Marking emphasises completeness of chain of reasoning over elegance.
- What awards does the JMO offer?
- Distinction certificates for the top 25 per cent and Merit certificates for the next 40 per cent. The leading 200 scorers receive medals — Gold (top ~40), Silver (next ~60), Bronze (next ~100) — and all medallists receive book prizes at the autumn UKMT awards ceremony. There is a separate “Best in Year” recognition for the top scorer in each Year 7 and Year 8 cohort.
- How does the JMO connect to the BMO?
- The JMO is the first written Olympiad in the UKMT pipeline; the BMO is the senior written Olympiad. They are not directly connected — there is no automatic invitation from one to the other — but strong JMO performance in Year 7 or Year 8 sets a student up for the Intermediate Olympiads (Cayley, Hamilton, Maclaurin) and, ultimately, BMO Round 1 entry in Year 12. JMO Distinction is the canonical Year-8 marker for serious Olympiad-track students in the UK pipeline.
Add Advisor on WhatsApp
Get Advice on JMO Preparation and the Intermediate Pathway
For Year 7 and Year 8 students preparing for the JMO, the WhatsApp advisor can help with structured reading lists, past-paper schedules, and the route from JMO Distinction into the Cayley Olympiad in Year 9. Written exchanges in English or Chinese welcomed.