AMO
American Mathematics Olympiad (AMO)
More study resources
Cheat sheet
Keep the key ideas within reach.
ExploreKey terms
Get comfortable with the vocabulary.
ExploreStudy plan
Give each week a clear focus.
ExploreCommon mistakes
Understand the traps and how to avoid them.
ExploreCase studies
Put your knowledge to work in context.
ExploreExam-day guide
Prepare for the day ahead.
ExploreAbout this exam
The American Mathematics Olympiad (AMO) is a competition built around non-routine problems rather than routine computation. According to the organiser's page, AMO is an affiliate of Math Olympiads for Elementary and Middle Schools, USA (MOEMS), which the page describes as one of the oldest and most established primary and secondary school math competitions in the world, and the Singapore International Math Contest Centre (SIMCC) is the main organiser of AMO in ASEAN and Hong Kong, working with local Country and Territory Partners. The contest is offered by grade level from Grade 3 (Primary 3) through Grade 8 (Secondary 2), so a candidate sits the paper for their own grade band. The stated goals are to stimulate enthusiasm and a love for Mathematics, introduce important Mathematical concepts, teach major strategies for problem solving, develop Mathematical flexibility, strengthen Mathematical intuition, and foster creativity and ingenuity. Preparation therefore means practising unfamiliar problems under your own reasoning rather than memorising templates: work through multi-step questions, explain each step in writing, and review errors to find the strategy you missed. The organiser's page does not publish a syllabus, so use the goals above as your guide. This page is independent study material and is not affiliated with the organiser.
What you'll study
About AMO preparation
How many problems are on the AMO paper?
It depends on your grade. The organiser lists 15 non-routine problems for Grade 3 (Primary 3), 20 for Grade 4 (Primary 4), and 25 each for Grades 5, 6, 7 and 8. Every problem is worth 1 point, so the totals are 15, 20, 25, 25, 25 and 25 points respectively.
How long is the contest, and what is the passing score?
The organiser's AMO page states the problem counts and point values but does not publish a time limit, a passing score or a fee. Treat any figure you hear from other candidates as unverified and confirm details with your local Country or Territory Partner before you register.
What kind of mathematics appears on AMO?
The page describes every item as a non-routine problem, and the stated goals are to introduce important Mathematical concepts, teach major strategies for problem solving and strengthen Mathematical intuition. Expect questions that require several connected steps and a chosen strategy, not recall of a formula or a single arithmetic operation.
How hard is AMO compared with school mathematics?
Harder in reasoning, not necessarily in content. School papers reward applying a taught method quickly; AMO-style items reward choosing a method, testing it and explaining why it works. A candidate comfortable with grade-level arithmetic can still find the paper demanding because each problem is unfamiliar by design.
Can I retake AMO if I do poorly?
The organiser's page does not state a retake policy. Because AMO is offered by grade level, most candidates simply sit the paper for their next grade in a later edition. Ask your Country or Territory Partner whether any additional sitting is available in your location.
In what order should I prepare?
Start with the organiser's stated goals. Build accuracy on multi-step problems first, then speed. Practise writing a full explanation for every answer, since a correct number with unclear reasoning often hides a lucky guess. Only after that add timed sets, and review every error to name the strategy you missed.
What are the most common ways candidates lose points?
Three patterns dominate. First, reading a multi-step problem once and answering an easier question than the one asked. Second, stopping at the first answer without checking whether other cases satisfy the conditions. Third, leaving reasoning unwritten, so a small slip cannot be traced during review. Slow down on reading and check each condition before finalising.
Who organises AMO, and is this page official?
The organiser's page says AMO is an affiliate of Math Olympiads for Elementary and Middle Schools, USA (MOEMS), and that the Singapore International Math Contest Centre (SIMCC) is the main organiser in ASEAN and Hong Kong, working with local Country and Territory Partners. This page is independent study material and is not affiliated with the organiser.