---
title: "AMC 10 and AMC 12 Preparation: Training for Contest Math Creativity"
description: "A 16 to 24 week plan, resources and FAQ for students aiming for the AIME through the AMC 10 or AMC 12, and how contest math differs from school."
url: https://bosenacademics.com/blog/amc-10-12-contest-math-prep/
published: 2026-09-12T01:39:51Z
updated: 2026-11-12T17:05:00Z
section: "Math and computing contests"
publisher: Bosen Academics (https://bosenacademics.com)
---

# AMC 10 and AMC 12 Preparation: Training for Contest Math Creativity

**The short answer:** The AMC 10 and AMC 12 reward creative problem-solving, not memorized procedures. Students aiming for the AIME do well with a 16 to 24 week plan: foundations first, then weekly timed past exams, then pacing practice in the final month, supported by AoPS materials and, where needed, a contest math tutor.

Every year, tens of thousands of students across North America write the AMC 10 or AMC 12, two of the most respected math competitions at the high school level. For students at top private schools or in advanced math programs, a strong score is a real academic credential, and qualifying for the AIME (American Invitational Mathematics Examination) stands out on applications to competitive university programs. But the AMC is unlike anything your child has met in school. It rewards creative problem-solving over memorized procedures, and students who treat it like an ordinary exam rarely reach their potential.

This guide is for parents and students who are serious about AMC preparation and want a clear, structured way to raise their scores.

## The AMC 10 and AMC 12 at a glance

Both are 25-question, 75-minute multiple-choice contests administered by the Mathematical Association of America (MAA). 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 is held in November, with a second sitting (AMC 10B/12B) about a week after the first (November 5 and 13 in 2026).

Scoring is 6 points per correct answer, 1.5 points for each blank and 0 for each wrong answer, for a top score of 150. Students who reach the AIME qualifying score on either contest can write the AIME, which feeds into selection for the USA(J)MO.

| Feature | AMC 10 | AMC 12 |
|---|---|---|
| Eligibility | Grade 10 and below | Grade 12 and below |
| Questions | 25 multiple choice | 25 multiple choice |
| Time | 75 minutes | 75 minutes |
| AIME qualifying score (2026-27) | 100/150 | 85/150 |
| Topics | No trigonometry or advanced algebra | Full high school math, including trigonometry; no calculus |

## How much math background is needed

For the AMC 10, students should handle algebra, geometry, number theory and combinatorics at a strong pre-calculus level. The AMC 12 adds trigonometry, advanced algebra (such as logarithms and complex numbers) and advanced geometry, though it still excludes calculus. Still, knowing more curriculum is not what separates top scorers from average ones.

Experienced contest math educators see mathematical creativity as the most important AMC skill: looking at an unfamiliar problem and finding an elegant route instead of reaching for a formula. This can be trained, but it takes deliberate, steady practice over months, not weeks.

Students in advanced math programs, gifted streams or private schools who have finished courses like MHF4U, MCV4U or their American equivalents are well placed to aim for the top tiers of the AMC 12. Strong math students in Grades 7 to 9 should begin with the AMC 8 and AMC 10A, developing contest intuition early.

## Structuring your preparation

For students targeting AIME qualification, a plan of 16 to 24 weeks works well. Here is one way to divide it.

### Months 1 to 2: lay the foundation

Work through AMC problems by category to find weak topics. Counting and probability, geometric proofs and number theory are common trouble spots. Art of Problem Solving (AoPS) textbooks are the place to start: *Introduction to Algebra*, *Introduction to Counting and Probability* and *Introduction to Geometry* for the AMC 10, and the Intermediate series for the AMC 12.

### Months 3 to 4: timed practice and problem sets

Start doing past AMC exams under timed conditions. The MAA archives go back decades and are free. Aim for one full practice exam each week. Afterward, spend more time reviewing the problems you missed than you spent writing the test. Understanding *why* a solution works is worth more than seeing the answer.

### The last 4 weeks: simulation and strategy

In the final month, concentrate on pacing. Most students should answer the first 20 problems carefully and skip the last few problems unless they feel confident. Because each blank earns 1.5 points, guess only when you can rule out at least two choices. A score of 100 out of 150 on the AMC 10, or 85 on the AMC 12, qualifies a student for the AIME.

## Resources that work best

The most useful AMC preparation resources are:

- **Art of Problem Solving (AoPS) books and online courses**: The standard for contest math at every level. The AoPS community forums are also a great place to study solution approaches written by other strong students.
- **Past AMC exams**: Doing 10 to 15 years of past exams is some of the best practice available. Themes recur and the problem style is consistent.
- **MATHCOUNTS Handbooks and AMC 8**: Good entry points for younger students (Grades 6 to 8) building toward AMC 10 success.
- **Directed tutoring**: A tutor with real contest math experience can pinpoint specific gaps, teach problem-solving heuristics and give structured feedback that self-study cannot match.

## How AMC preparation differs from school math

Parents need to understand this above all. AMC problems are designed so that plugging in classroom formulas is not enough. A student with 98% in school math may land in the bottom half of the AMC without targeted preparation.

Contest math teaches students to attack a problem from several angles, work backwards from the answer, and watch for symmetry or elegant shortcuts, building mathematical intuition along the way. These skills pay off well beyond competitions: they sharpen the quantitative thinking that admissions offices at top universities look for and that leading engineering and science programs demand.

Students at schools like Upper Canada College, Crescent School, Phillips Exeter Academy and similar institutions often take the AMC as part of a wider academic culture that prizes intellectual challenge. Families at these schools know that a strong AMC result, especially AIME qualification, is a meaningful sign of mathematical ability. See our full range of [advanced math and competition support](https://bosenacademics.com/tutoring/) to find out how we can help your child reach their potential.

If your child is aiming for the AIME or simply wants stronger mathematical thinking, [book a free consultation with Bosen Academics](https://bosenacademics.com/consultation/) to hear about our contest math preparation. We build personalized plans around each student's current level and goals.

## Frequently asked questions

### What score qualifies for the AIME on the AMC 10 or AMC 12?

For the 2026-27 contest year the MAA uses fixed scores: 100 or more out of 150 on the AMC 10, or 85 or more on the AMC 12. Before that, the cutoffs floated each year and were set at the top 2.5% of AMC 10 scorers and the top 5% of AMC 12 scorers.

### When should my child start preparing for the AMC?

Students serious about the AIME should begin structured preparation at least four to six months before the November exam. Students in Grade 7 or 8 aiming to compete at a high level by Grade 10 should start AMC 8 and AMC 10 prep as early as possible.

### Can a student who has never done contest math qualify for the AIME?

It is possible but unusual without substantial preparation. Most qualifiers have at least a year of focused practice, though a student with a very strong math background who trains hard for four to six months can sometimes reach the cutoff.

### Should my child take the AMC 10 or the AMC 12?

A student in Grade 10 or below may take either. The AIME qualifying score is lower on the AMC 12 (85, against 100 on the AMC 10), but the AMC 12 is harder, so students strong in precalculus who want the highest possible score may prefer it. Many write both the A and B versions.

### How does AMC performance affect university admissions?

Admissions offices at top universities view AIME qualification and strong USAMO or AMC 12 results favourably, mainly for math, engineering, computer science and science applicants. Strong contest results are a useful way to show mathematical ability to competitive programs in the US and Canada.

## 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/