Best Math Competitions for Students

The math contests that build real ladder: AMC 8, AMC 10/12 → AIME → USAMO, MATHCOUNTS. Cost, deadlines, prep guides, and what each one signals to colleges.

Updated May 27, 2026 · 4 competitions

U.S. competitive math has the cleanest ladder of any STEM contest: each rung publishes its qualifying cutoff publicly, and a student knows exactly where they stand after each contest. The path is AMC 8 in 6-8th grade → AMC 10/12 in HS → AIME qualifier (top 2.5%) → USAMO/USAJMO invitees (top ~250) → MOP (top 50) → IMO team (top 6).

The middle-school feeder, MATHCOUNTS, is a parallel track that emphasizes speed and breadth. Most IMO team members did both MATHCOUNTS and AMC 10/12; the two complement each other.

How we picked these

This list is intentionally short. There are excellent regional contests (Putnam-prep style, Mu Alpha Theta, MAA AMC + AIME chain), but for admissions signal the three below are what readers know. We've excluded contests that don't feed the IMO selection pipeline.

  1. 1

    AMC 10/12 American Mathematics Competitions 10/12

    75-minute, 25-question high-school math contest — gateway to AIME.

    The high-school feeder for the IMO selection ladder. AMC 10 is for 10th-and-under; AMC 12 is for any HS grade. Top 2.5% on either qualifies for AIME — the first credential admissions readers recognize.

    Best forOlympiad-track HS math students
    Grade levelGrades 9-12 (AMC 10 caps at grade 10)
    DifficultyIntermediate to elite
    Time commitmentMedium · weekly AoPS-style practice
    School team?School team optional
    Deadline windowAMC 10/12 contest dates: November A + B
    College portfolio valueHigh to apex (AIME → USA(J)MO → MOP)
    Recommended next stepTake a recent AMC 10 cold. Score 90+ → focus AMC 10. Score 100+ → consider AMC 12.
  2. 2

    MATHCOUNTS MATHCOUNTS Competition Series

    The premier middle-school math competition in the U.S. — chapter → state → national, with four rounds (Sprint, Target, Team, Countdown).

    The middle-school equivalent. Four-round format: Sprint (speed), Target (problem solving), Team, Countdown (live elimination). Strong MATHCOUNTS finishers typically dominate AMC 10/12 a few years later.

    Best forMiddle-schoolers who like timed competition
    Grade levelGrades 6-8
    DifficultyMedium to advanced
    Time commitmentMedium · weekly team practice
    School team?School team required
    Deadline windowSchool competition Jan; Chapter Feb; State March; National May
    College portfolio valueHigh for the long-term math track
    Recommended next stepAsk your school if it has a MATHCOUNTS team. If not, propose one to a math teacher.
  3. 3

    Math Kangaroo

    The global beginner-friendly math contest. K-12, fixed test date in March, every participant gets a gift bag.

    The friendliest entry into competitive math. 75-minute multiple-choice with puzzle-flavored problems. Every participant gets a gift bag. Great pre-AMC 8 confidence builder for K-5 students; still useful as a first contest for early-MS students.

    Best forElementary + early-MS students new to competitive math
    Grade levelGrades 1-12
    DifficultyBeginner
    Time commitmentLight · one 75-min test
    Cost$21
    School team?No school team needed
    Deadline windowTest date: third Thursday of March each year (~$21 registration)
    College portfolio valueLow standalone
    Recommended next stepRegister through a school or local learning center. Find a test site at mathkangaroo.org.
  4. 4

    AMC 8 American Mathematics Competition 8

    40-minute, 25-question math contest for middle schoolers.

    Single 40-minute test in January. Low entry barrier; one of the few math competitions where any school can register and any student can sit. A strong AMC 8 score in 7th grade is the cleanest early signal for AMC 10/12 success.

    Best forAny middle-schooler exploring competitive math
    Grade levelGrade 8 and under
    DifficultyBeginner to intermediate
    Time commitmentLight · ~1 hr test
    School team?School team optional
    Deadline windowLate January each year
    College portfolio valueLow standalone; high as a ladder entry signal
    Recommended next stepDo 3-5 past AMC 8 papers (free at maa.org/math-competitions) to gauge starting level.

Need structured prep for these competitions?

AMC 8 / MATHCOUNTS Bootcamp — Middle-school + early-HS math competition prep. Run under the Research Ignited program. No payment, no enrollment — join the interest list and we'll personally confirm fit.

Join AMC 8 / MATHCOUNTS Bootcamp interest list →

Not sure which is right for your child?

Our 15-question Pathway Quiz takes 5 minutes and maps your child's interests to a recommended starting competition.

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