About Idaho AMC Hub
Lessons and practice tests for the AMC 8, 10 and 12, written for students in Idaho and open to anyone.
Idaho AMC Hub keeps the lessons, practice tests and references for the AMC 8, the AMC 10 and the AMC 12 in one place. The material runs week by week and by topic, so a student working alone can follow the same order a school club would.
There is no account and no sign-up. Every page is public, and the practice attempts you record stay in your own browser.
This is an independent site, not an official one. The MAA writes the contests and sets the rules, the dates and the scoring.
The competition path
The AMC is the first step in a sequence that ends with the United States team for the International Mathematical Olympiad. Each stage qualifies students for the next, and two of the stages hold a pair of alternatives rather than a single paper.
AMC 8
Middle school students, grade 8 and below.
- Format
- 25 questions, 40 minutes.
- Scoring
- 1 point per correct answer. Nothing is deducted for a wrong answer, so never leave a question blank. Out of 25.
- Topics
- Counting, probability, estimation, geometry, number theory and basic algebra.
- Awards
- Honor Roll for the top 5%, Distinguished Honor Roll for the top 1%.
The AMC 10 or the AMC 12. They are two papers at the same stage, chosen by grade, not one after the other.
AMC 10 and AMC 12
Two papers at the same stage rather than two rungs. Both are 25 questions in 75 minutes with no calculator, and both are scored the same way. A student may sit both the A and the B administration, but not an AMC 10 and an AMC 12 in the same administration.
AMC 10
Students in grade 10 and below.
- Format
- 25 questions, 75 minutes.
- Scoring
- 6 points per correct answer, 1.5 for a blank, 0 for a wrong answer. A blank beats a wrong guess. Out of 150.
- Topics
- Elementary algebra, geometry, number theory, counting and probability. No trigonometry, complex numbers or calculus.
- Leads to
- The AIME, and from there the USAJMO.
AMC 12
Students in grade 12 and below, within the MAA age limit.
- Format
- 25 questions, 75 minutes.
- Scoring
- 6 points per correct answer, 1.5 for a blank, 0 for a wrong answer. A blank beats a wrong guess. Out of 150.
- Topics
- The whole high school curriculum except calculus: trigonometry, logarithms and exponentials, complex numbers, polynomials, sequences and series, conic sections, vectors, probability and advanced counting.
- Leads to
- The AIME, and from there the USAMO.
Both papers qualify students for the AIME.
AIME
American Invitational Mathematics Examination
Students who qualify through either the AMC 10 or the AMC 12.
- Format
- 15 questions, 3 hours.
- Answers
- Integers from 0 to 999. No answer choices.
- Difficulty
- Much harder than the AMC, easier than the Olympiad.
A combined AIME and AMC score decides Olympiad qualification, and the path follows the paper taken: the AMC 10 leads to the USAJMO, the AMC 12 to the USAMO.
USAJMO and USAMO
Two olympiads of the same shape, and again a student is on one path or the other. Which invitation an AIME qualifier can receive follows from the AMC paper the qualification came through.
USAJMO
USA Junior Mathematical Olympiad
AIME qualifiers on the AMC 10 path, selected on their combined AMC and AIME scores.
- Format
- 6 proof problems across two days, 4.5 hours each day.
USAMO
USA Mathematical Olympiad
AIME qualifiers on the AMC 12 path, selected on their combined AMC and AIME scores.
- Format
- 6 proof problems across two days, 4.5 hours each day.
Top scorers are invited to the Mathematical Olympiad Program, which selects the United States team for the International Mathematical Olympiad.
Dates, eligibility and the current scoring rules are set by the MAA. Its official AMC page is the authoritative source for the year you are competing in.
What is here
Three things make up the site.
- Lessons
- Week-by-week material for the AMC 8, 10 and 12, grouped into Algebra & Number Theory, Geometry and Combinatorics. A lesson whose PDF is not published yet says so.
- Practice tests
- Past papers taken under the real clock, then reviewed question by question against the answer key and any worked explanations.
- Resources
- Links to outside tools, references and competitions, including the ones specific to Idaho.
Idaho has a small competition community, and a student here can go a long way without meeting anyone else who has sat the AMC. The resources page lists the local competitions and team opportunities we can find, so students know where the other people doing this are.
Contact
Tell us what to add next, flag a mistake in a lesson, or report a problem with the site. It is the fastest way to change what is on this site.