ARML prep
ARML is a team contest in which students represent a region and a team of 15 works through a team round, a power question, an individual round and a relay.
ARML at a glance
- Team round
- Ten questions solved together by all fifteen students.
- Power question
- One proof-based set a team writes up together.
- Individual and relay
- An individual round in pairs of questions, and a relay in which only the last student's answer counts.
Who this is for
In the ARML team round all fifteen students work on the same ten questions together. That rewards splitting a problem and trusting what the person next to you found, and it suits students who like talking through hard questions.
Drill the individual rounds on your own, and save the team round and the power question for practice with teammates.
Both the individual and the team rounds are in the bank, and you can drill them alone. Duels give you a head-to-head version when you want some pressure.
What Lemmas has for ARML
- Problems in the bank
- 145
- Years covered
- 2015 to 2026
- Median difficulty, out of 100
- 38
Lemmas holds 145 ARML problems in 14 papers, 2015 to 2026. The ratings run from 14 to 75, half of them between 29 and 48, with a median of 38, which is 10 points below the AIME's 48.
Any of the 14 papers can be set in Arena, individual rounds and team rounds alike. The scale is explained on the About page.
Individual round against team round
The bank holds 80 problems from individual rounds and 65 from team rounds, and the team-round median of 44 is higher than the individual-round median of 35.
- Individual round, median rating
- 35
- Team round, median rating
- 44
ARML problems by subject
Out of 145 ARML problems, Geometry has the largest share at 31% and Combinatorics the smallest at 21%.
- Geometry, 31% of the bank
- 45
- Algebra, 26% of the bank
- 37
- Number Theory, 23% of the bank
- 33
- Combinatorics, 21% of the bank
- 30
Questions about ARML
Is ARML an individual or a team contest?
Both. A team has 15 students, and each student also takes an individual round whose points count toward the team's total.
What is a power question?
A set of problems built around one theme, most of them asking for proofs, which the team works on together and submits in writing.
What is the ARML relay round?
A relay is a round in which only the last student's answer counts. It is one of the four events at ARML, along with the team round, the power question and the individual round.
Where the ARML problems come from
ARML problems on Lemmas are used with ARML's permission for non-commercial education, and each one links back to ARML. Commercial reuse of ARML problems is prohibited.
ARML on the American Regions Mathematics League website (opens in a new tab)
Make an account and try your first problem.
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