The AMC math competition is the starting point for one of the most prestigious mathematics pathways available to Canadian students — a structured series of contests that runs from the AMC 8 in middle school through to the American Invitational Mathematics Examination and ultimately the International Mathematical Olympiad. This guide covers everything Canadian families need to know about participating: where to find AMC math competition past papers, what happened at the AMC math competition 2025, how AMC registration works in Canada, what the AMC 10 AIME pathway involves, and why taking the AMC math competition is worth the preparation investment.
AMC math competition past papers — where to find them
AMC math competition past papers are freely available and are the single most valuable preparation resource for any student entering the competition. Every paper from every year is published by the Mathematical Association of America and hosted on the Art of Problem Solving community website.
Where to access past papers:
The Mathematical Association of America publishes official past papers and answer keys for every AMC 8, AMC 10, and AMC 12 sitting going back to the competition’s earliest years. Both the A and B versions of each paper are available.
The Art of Problem Solving community at artofproblemsolving.com hosts the same papers alongside detailed solution discussions for every single problem. For each question multiple approaches are explained, common errors are identified, and connections to other problems are noted. This is the more useful resource for students who want to understand why a solution works rather than just checking their answer.
How far back do the past papers go?
AMC 8 past papers are available going back to 1985. AMC 10 past papers go back to 2000 when the competition was introduced. AMC 12 past papers go back to 2000 in their current format, with earlier versions available under the original AHSME name.
This means a student preparing for the AMC 8 has access to over 40 past papers. A student preparing for the AMC 10 has over 40 AMC 10A and 40 AMC 10B papers — more than 80 practice papers in total. There is no shortage of preparation material.
How to use AMC math competition past papers effectively
Having access to past papers is only valuable if they are used well. The most common mistake is completing a paper, checking the score, and moving on without review. This produces much slower improvement than deliberate practice.
The most effective approach: complete one past paper under timed conditions, then spend two to three sessions reviewing every question — including the ones answered correctly. For each question, identify the topic, the key mathematical insight, and whether a faster approach exists. Read the AoPS solution discussion for every problem you could not solve and for any problem where your solution was longer than the AoPS solution.
Prepare for the AMC 10 with AMC 10 Past Contests and Solutions: Full Archive by Year.
For more on AMC 8, read AMC 8 Math Competition: The Complete Guide for Canadian Students.
AMC math competition 2025 — what happened
The AMC math competition 2025 continued the competition’s tradition of challenging students with problems that reward creative problem-solving over curriculum recall.
AMC 8 2025
The AMC 8 2025 ran from January 22 to 30. The paper maintained the standard 25-question, 40-minute format. Think Academy students performed strongly — 672 students earned national awards in 2025, with 65% placing on Achievement, Honor, or Distinguished Honor Rolls.
AMC 10 and AMC 12 2025
The AMC 10 and AMC 12 2025 papers were administered in November 2024 in their standard format — 30 questions in 75 minutes, in two versions each. AIME qualification cutoffs for the 2025 sitting were published by the MAA after the results were released. Check the MAA official website for the exact 2025 cutoff scores as these vary each year.
Think Academy’s 2025 AMC results
Think Academy students have earned more than 1,700 AMC 8 medals and 700 AMC 10 medals since 2021. In the 2024 to 2025 academic year, nearly one in three Think Academy students qualified for AIME — four times the national average. Think Academy competition winners were featured on a Times Square billboard in summer 2025 celebrating student achievement across AMC 8, AMC 10, and Math Kangaroo.
AMC registration — how to sign up in Canada
AMC registration for Canadian students works differently from most school exams. Students cannot register directly with the Mathematical Association of America — participation must go through a registered test centre.
Two ways to register
The first is through your child’s school. Many Canadian schools — particularly those with enriched or gifted programmes — register students for the AMC as a group. Ask the math teacher or school administration in September whether the school participates.
The second is through an independent test centre. If the school does not offer the AMC, parents can find a registered centre using the MAA’s Find a Competition Manager tool at maa.org. Think Academy Canada is a registered AMC test centre and has hosted AMC 8 and AMC 10 competitions since 2021.
AMC registration dates
| Competition | Exam window | Registration opens | Registration closes |
|---|---|---|---|
| AMC 8 | January | September | October to November |
| AMC 10A and 10B | November | August | October |
| AMC 12A and 12B | November | August | October |
Registration deadlines are strict — late entries are not accepted. Popular independent test centres fill up quickly. Register as early as possible once the window opens.
What AMC registration costs
The MAA sets a standard per-student fee which covers administration and score processing. Independent centres may add a small administration fee on top. Schools often absorb the cost for registered students. Contact your chosen test centre directly for the total cost.
To find out how to register for AMC, read AMC Registration in Canada: How to Sign Your Child Up.
AMC 10 AIME — the pathway beyond the AMC
The AMC 10 AIME pathway is what makes the AMC math competition more than just a single test — it is the first step in a progression that can take exceptional students all the way to the International Mathematical Olympiad.
What is the AIME?
The American Invitational Mathematics Examination is a 15-question, 3-hour competition open only to students who qualify through the AMC 10 or AMC 12. Unlike the AMC series which uses multiple choice format, the AIME requires students to compute integer answers between 000 and 999 — no calculator, no multiple choice options, just mathematical reasoning and computation.
AIME questions are significantly harder than AMC 10 and AMC 12 questions. A student who qualifies for the AIME has already demonstrated they are in the top 2.5% of AMC 10 participants nationally. A student who performs strongly on the AIME is among the strongest young mathematicians in North America.
How AMC 10 AIME qualification works
Approximately the top 2.5% of AMC 10 participants qualify for the AIME. The exact cutoff score varies each year based on how the cohort performs. Historically the AMC 10 AIME cutoff has been in the range of 100 to 115 out of 150.
For the AMC 12, the top 5% qualify for the AIME — a higher percentage because the AMC 12 covers more topics and is harder.
| Competition | AIME qualification threshold |
|---|---|
| AMC 10 | Top 2.5% (approximately 100 to 115 out of 150) |
| AMC 12 | Top 5% (approximately 85 to 100 out of 150) |
The full competition pathway
| Stage | Competition | What it leads to |
|---|---|---|
| Entry | AMC 8 | Foundation for AMC 10 |
| Junior | AMC 10 | AIME qualification |
| Senior | AMC 12 | AIME qualification |
| Invitational | AIME | USAMO qualification |
| National | USAMO | USA IMO team |
| International | IMO | World championship |
For Canadian students, the AMC pathway runs parallel to the CEMC Waterloo contest series. Strong AMC performance and strong Waterloo performance develop the same underlying mathematical skills and both feed into university admissions consideration.
Why take the AMC math competition?
This is the question many Canadian parents ask when first encountering the AMC series. The answer covers academic development, university admissions, and the culture of mathematical thinking that competition preparation builds.
University admissions
Strong AMC performance — and particularly AIME qualification — is recognised by competitive university programmes as meaningful evidence of mathematical ability beyond what school grades alone convey.
In Canada, the University of Waterloo and UofT consider competition math results for competitive programmes including mathematics, computer science, and engineering. AMC 10 and 12 preparation builds the problem-solving foundation that translates directly into strong Euclid contest performance, which carries direct weight in Waterloo admissions.
For students applying to American and international universities, AMC and AIME credentials carry more direct weight. MIT, Caltech, Harvard, Princeton, and other highly selective institutions treat AIME qualification as a meaningful academic signal — not a requirement, but a distinguishing credential that very few applicants can present.
Problem-solving skills that transfer
The mathematical skills developed through AMC preparation extend well beyond the competition itself. A student who learns to approach unfamiliar AMC problems systematically — identifying the relevant structure, testing approaches, reasoning through difficulty — develops habits that apply directly to university mathematics, computer science, engineering, and any other field that demands quantitative thinking.
School mathematics develops procedural skill — the ability to apply known methods accurately. AMC mathematics develops creative reasoning — the ability to figure out what to do when no known method immediately applies. Both are important. Students who have developed both through school and competition preparation consistently find first-year university mathematics more manageable than peers who only followed the school curriculum.
The community and culture
Taking the AMC math competition connects students to a community of mathematically engaged peers that extends across Canada and internationally. Students who prepare seriously for the AMC often discover a genuine passion for mathematical thinking that shapes their academic interests and career direction.
For students who are mathematically capable but not particularly challenged by the school curriculum, the AMC provides a meaningful standard to work toward. The progression from AMC 8 to AMC 10 to AIME gives students a multi-year developmental pathway with clear milestones at each stage.
The right time to start
The earlier a student begins AMC preparation the better — not because the competition itself requires years of work at the entry level, but because the mathematical habits and problem-solving intuitions that make a student competitive at AMC 10 and AIME level take years to develop.
A student who begins AMC 8 preparation in Grade 5 or 6 and builds steadily arrives at the AMC 10 with a qualitatively different mathematical foundation than a student who begins intensive preparation in Grade 9. The difference is not just in knowledge — it is in the depth of mathematical intuition and the fluency with non-routine problems that only develops through sustained practice over time.
Frequently Asked Questions
Where can I find AMC math competition past papers? AMC math competition past papers are available free at maa.org and artofproblemsolving.com. Both AMC 10A and 10B papers are available going back to 2000, and AMC 8 papers go back to 1985. AoPS also hosts detailed solution discussions for every past problem.
What happened at the AMC math competition 2025? The AMC 8 2025 ran in January. The AMC 10 and AMC 12 2025 papers were administered in November 2024. Think Academy students earned over 1,700 AMC 8 medals and 700 AMC 10 medals across the 2024 to 2025 academic year, with nearly one in three qualifying for AIME. Check the MAA website for official 2025 cutoff scores and results.
How does AMC registration work in Canada? Canadian students register through a registered AMC test centre — either their school or an independent centre. Think Academy Canada is a registered test centre. Registration for the AMC 8 typically opens in September. Registration for the AMC 10 and 12 opens in August. All deadlines are strict and spaces at popular centres fill up quickly.
What is the AMC 10 AIME pathway? Top AMC 10 scorers — approximately the top 2.5% — qualify for the American Invitational Mathematics Examination. The AIME is a 15-question, 3-hour competition requiring computed integer answers. Strong AIME performance can lead to USAMO qualification and ultimately selection for the USA IMO team.
Why should Canadian students take the AMC math competition? The AMC develops mathematical problem-solving skills that go beyond the school curriculum and are recognised by competitive university programmes in Canada and internationally. AIME qualification is a meaningful academic credential. The preparation process develops creative reasoning, mathematical intuition, and problem-solving habits that benefit students in university mathematics and any quantitative field.
How early should a student start AMC preparation? Starting AMC 8 preparation in Grade 5 or 6 gives students the most time to develop the foundational skills that make AMC 10 and AIME preparation effective. Students who begin in Grade 7 or 8 can still perform well on the AMC 8 with focused preparation. Starting AMC 10 preparation before completing AMC 8 foundations is generally not recommended.
Does the AMC help with Canadian university admissions? Yes. The University of Waterloo and UofT consider competition math performance for competitive programmes including mathematics, computer science, and engineering. AMC 10 and 12 preparation builds the skills that translate into strong Euclid contest performance, which carries direct weight in Waterloo admissions.
