---
title: "AMC 10 and AMC 12 Prep by Grade: From AMC 8 to the AIME"
description: "A grade-by-grade plan for AMC 10 and AMC 12 preparation, with a topic table, resource list and strategies for reaching the AIME cutoff."
url: https://bosenacademics.com/blog/amc-10-12-prep-guide-2/
published: 2026-11-12T02:37:37Z
updated: 2026-11-12T17:05:00Z
section: "Math and computing contests"
publisher: Bosen Academics (https://bosenacademics.com)
---

# AMC 10 and AMC 12 Prep by Grade: From AMC 8 to the AIME

**The short answer:** Start AMC preparation with AMC 8 problems in Grades 7 and 8, move to targeted AMC 10 practice in Grade 9, and add AMC 12 and AIME material in Grades 10 to 12. Official past papers, AoPS books, timed practice and careful review of every mistake are what get students to the AIME cutoff.

For students at private schools and in advanced math programs, the AMC 10 and AMC 12 are among the most prestigious math contests in North America. Run by the Mathematical Association of America, they lead to the AIME, the USA(J)MO and the pipeline toward the International Mathematical Olympiad. Even so, many families are unsure when to begin, what to study, or how to put together a plan that gets results. This guide gives direct answers, from a child's first exposure to full contest-level AMC training, so they can sit the exam with confidence.

## The AMC 10 and AMC 12, and why they matter

Both are 25-question, 75-minute multiple-choice exams held each November. The AMC 10 is open to students in grade 10 and below, and the AMC 12 to all students in grade 12 and below. Each has a top score of 150, and high scorers move on to the American Invitational Mathematics Examination (AIME).

Experienced math educators point out that a strong AMC score shows a mathematical maturity that regular school curricula do not measure. For students applying to competitive university programs in engineering, mathematics, computer science or economics, an AIME-qualifying score is a real differentiator. At schools like Phillips Exeter, Andover, Hotchkiss, UCC and Crescent, students commonly spend months in structured AMC preparation.

## When to begin

The right starting point depends on your child's current level and goals. Here is a practical timeline by grade:

- **Grades 7-8:** Meet contest math through AMC 8 problems and introductory AoPS coursework. Develop number sense, an instinct for combinatorics and the basics of geometry.
- **Grade 9:** Start targeted AMC 10 work. Do recent AMC 10A and 10B past papers under timed conditions, and look for gaps in algebra and counting.
- **Grades 10-11:** Shift toward AMC 12 material, especially advanced algebra, pre-calculus and trigonometry. Set a concrete target: a score of 100 or more qualifies for the AIME on the AMC 10 (85 or more on the AMC 12).
- **Grade 11-12:** Deepen problem-solving through AIME preparation. Students aiming for the USA(J)MO should begin meeting proof-based mathematics now.

Earlier is almost always better. Students who start with the AMC 8 in grades 7 or 8 build the problem-solving instinct that makes AMC 10 and AMC 12 preparation far more efficient later.

## Topics covered

The AMC 10 covers elementary algebra, geometry, number theory and probability, and leaves out trigonometry and advanced algebra. The AMC 12 covers the full high school curriculum, including trigonometry and advanced algebra, but not calculus. Both reward creative problem-solving over routine calculation.

| Exam | Grade Eligibility | Key Topics | AIME Qualifying Score (2026-27) |
|---|---|---|---|
| AMC 8 | Grade 8 and below | Pre-algebra, basic geometry, number sense | N/A |
| AMC 10 | Grade 10 and below | Elementary algebra, geometry, combinatorics, number theory | 100/150 |
| AMC 12 | Grade 12 and below | All AMC 10 topics plus trigonometry and advanced algebra | 85/150 |

Students who have finished IB Math AA HL or AP Calculus BC find that their algebra skills carry over well, especially on algebra-heavy AMC problems. Contest-style problems still call for a different kind of thinking from curriculum exams, so targeted practice is essential.

## The best resources

The most effective AMC preparation pairs structured problem sets with careful concept review. These resources reliably deliver results:

1. **Official Past Papers:** The AMC website keeps a free archive of past AMC 10 and AMC 12 exams. Doing 8-10 full past papers under timed conditions is the base of any serious plan.
2. **Art of Problem Solving (AoPS) Textbooks:** AoPS's Introduction to Algebra, Introduction to Counting and Probability, and Introduction to Number Theory books are the standard AMC 10 resources. The AoPS forums have detailed community solutions to every past AMC problem.
3. **MATHCOUNTS Preparation:** Students who trained for MATHCOUNTS in middle school reach the AMC 10 with a strong grounding in number sense and combinatorics. If your child missed that, MATHCOUNTS handbooks are still worth working through at the AMC 10 stage.
4. **Alcumus (AoPS Online Platform):** This adaptive platform adjusts difficulty to performance and covers every AMC topic area. It works especially well for independent practice between sessions.
5. **Targeted Tutoring:** For students stuck in the 60-80 range on practice tests, or hoping to cross the AIME threshold quickly, one-on-one work with a competition math specialist speeds up improvement considerably.

## Moving from a solid score to the AIME

AIME qualification takes 100/150 on the AMC 10 or 85/150 on the AMC 12, which means getting about 16 or 17 problems right on the AMC 10 or about 14 on the AMC 12 (a blank scores 1.5, so a few blanks lower the number you need). These strategies help students cross the line:

- **Perfect the first 15 problems first.** The front half of the AMC is much more accessible than problems 16-25. Many students miss a qualifying score by rushing through easy problems and making careless errors.
- **Build a strong geometry toolkit.** AMC geometry favours students who know circle theorems, triangle area formulas and coordinate geometry well. These problems reliably earn points for prepared students.
- **Practise timed sessions regularly.** The 75-minute limit is real. In the month before the November exam, students should complete a full timed practice test at least once a week.
- **Review wrong answers in depth.** For each missed problem, understand the solution and also why your approach failed and which insight was missing. This reflection separates students who plateau from those who keep improving.
- **Try early AIME problems.** Even if your child is not at AIME level yet, working on AIME problems 1-5 noticeably strengthens AMC 12 performance.

See our [tutoring subjects](https://bosenacademics.com/tutoring/) to learn more about how Bosen Academics supports students preparing for the AMC, the AIME and wider contest math programs.

The AMC 10 and AMC 12 reward students who combine solid mathematical foundations with creative problem-solving, which standard school curricula rarely build on their own. Starting early, working through official past papers systematically and targeting specific weak areas are the keys to real gains. If your child is ready to take AMC preparation seriously, [book a free consultation with Bosen Academics](https://bosenacademics.com/consultation/) to learn about our contest math support.

## Frequently asked questions

### How many AMC past papers should my child complete before the exam?

Aim for at least 8 to 10 full past exams under timed conditions in the two months before November. Untimed practice helps with concepts, but timed practice builds real pacing and stamina.

### Can a student take both the AMC 10 and AMC 12 in the same year?

Yes. A student eligible for the AMC 10 may also attempt the AMC 12, and each exam has A and B dates, so up to two versions can be taken in a year. Many grade 9 and 10 students write the AMC 10A and AMC 12B to maximize their AIME chances.

### Does a strong AMC score help with university admissions?

AIME qualification is a meaningful differentiator for competitive STEM programs at MIT, Caltech, Ivy League universities, and Waterloo Mathematics and Engineering. It signals exceptional problem-solving talent and passion for the subject.

### How is AMC preparation different from IB or AP math preparation?

IB Math AA HL and AP Calculus BC prepare students for curriculum-based assessments, while AMC preparation builds creative, non-routine problem-solving. The two complement each other, but students with strong IB or AP backgrounds still need dedicated contest training.

### How early do top AMC students typically begin preparation?

Students who go on to qualify for the USA(J)MO usually begin structured contest math in grades 6 or 7, often through the AMC 8 and MATHCOUNTS. A student who starts focused AMC 10 preparation in grade 9 can still reach AIME level with steady effort, good resources and the right instruction.

## Tutoring from Bosen Academics

One-on-one tutoring from certified teachers and subject experts with master's and PhD degrees, in person in North York, Toronto, or online. Book a free consultation: https://bosenacademics.com/consultation/