American Mathematics Competitions — A Guide for IP Maths & Physics Students
Download printable cheat-sheet (CC-BY 4.0)25 Jul 2025, 00:00 Z
TL;DR
The American Mathematics Competitions (AMC)—run by the Mathematical Association of America—start with the AMC 8, 10 & 12, feed into the AIME and ultimately the USA(J)MO, the gateway to the US IMO team.
Each paper is multiple-choice, no calculators, and invites top scorers (≈ 2 - 5 %) to the next round.
Singapore IP students use the AMC to benchmark against global peers and to support—not secure—DSA Math portfolios.
1 Contest Family in 60 s
Level | Eligibility (US Grades) | Questions | Time | Scorin | Typical window |
AMC 8 | ≤ 8 | 25 MCQ | 40 min | +1 / 0 | mid-January |
AMC 10 | ≤ 10 | 25 MCQ | 75 min | +6 / +1.5 blank / 0 wrong | early-November (A/B) |
AMC 12 | ≤ 12 | 25 MCQ | 75 min | +6 / +1.5 blank / 0 wrong | early-November (A/B) |
AIME | By invitation | 15 integer 000-999 | 3 h | +1 correct / 0 else | mid-February |
USA(J)MO | By invitation | 6 proofs/2 days | 9 h total | 7 pts/Q | April |
- Exact dates shift each cycle; check the current MAA AMC calendar.
2 Why IP Students Care
2.1 Olympiad pathway
AMC 10/12 → AIME → USA(J)MO is the only official route to the U.S. International Mathematical Olympiad team. AIME scores are combined with AMC scores (weighted index) to pick ≈ 250 USA(J)MO qualifiers.
2.2 Global yard-stick
More than 300 000 students worldwide sit an AMC each year, giving Singapore IP students a percentile they can't get from local exams.
2.3 DSA portfolios: supportive, not decisive
MOE lists external math competitions as admissible evidence for Direct-School-Admission but does not mandate any specific contest. Many schools welcome strong AMC results as supporting documents, yet panels still weigh interviews and in-house tests heavily.
3 Core Rules Parents Should Know
- One sitting per cycle A- and B-dates are mirrors; you choose one.
- No calculators or smart devices—bring pencils, scratch paper only.
- 25 % guessing penalty myth? False. Leaving a question blank on AMC 10/12 nets +1.5 pts, so wild guessing is mathematically worse than calculated skips.
- Eligibility is by school grade, not age—a JC1 IP student equals US 11th grade and may only attempt AMC 12.
4 Benchmark Scores & Invitations
Year (recent) | AMC 10 A cut-off | AMC 10 B cut-off | AMC 12 A cut-off | AMC 12 B cut-off |
2024 | 100.5 | 108 | 88.5 | 96 |
2023 | 94.5 | 103.5 | 87 | 93 |
2022 | 96 | 96 | 85 | 91.5 |
Scorers at or above the cut-off earned an AIME invite that year.
5 How to Register from Singapore
- Through your IP school - Many (e.g. HCI, RGS, NUS High) are registered AMC centres.
- Independent proctor - MAA allows overseas “open” centres or teacher-led sessions.
- Fees - 2025 cycle: US$20 per AMC 8 seat, US$28 per AMC 10/12 seat; shipping & proctor add-ons vary.
6 Prep Timeline for IP Calendars
Month | AMC milestone | IP-WA alignment | Suggested action |
Jul-Sep | Content sprint (algebra, NT, geo) | WA 1/WA 2 season | Weekly 25-Q mini-mocks |
Oct | Full timed papers (75 min) | WA 3 lull | Alternate A- and B-years |
Nov | AMC 10/12 live | Post-WA breather | Sleep buffer; print bubble sheet |
Dec | AIME drill (if likely) | WA drought | 15-Q integer practice |
Jan | AMC 8 live | Sec 1-2 WA 1 prep | Focus on speed; no penalty format |
Feb | AIME | JC orientation | 3-hr stamina runs |
Apr | USA(J)MO proofs | JC Math tutorials | Long-form solution writing |
7 Quick FAQ
Q: Can Primary-6 prodigies sit AMC 10?
A: Yes—eligibility is grade-based maximums, not minimums.
Q: Is the AMC recognised by MOE?
A: MOE does not accredit foreign contests but DSA panels commonly accept AMC certificates as supporting evidence.
Q: Do Singapore rounds use US times?
A: No—local proctors schedule within the official MAA window (usually 8 h) and submit scanned answer sheets.
8 Further Reading & Resources
*Last updated 25 Jul 2025 — will refresh when the MAA posts the 2026 schedule.