What does Prep cover for AMC series?

AMC 8, AMC 10, AMC 12, AIME. Each Level has its own chapter map, practice rounds, sealed practice exams with every answer and worked solution at the end, and a published gate to the next Level.

When is the next AMC series date?

Feb 5, 2027 – Feb 6, 2027 · AIME · Feb 5–6, 2027 (single 2-day window). Always check the organizer's site before registering.

How much does it cost?

Each child's first round and its summary are free, with no card needed. After that, a Series pass is $14.99 a month for the whole family (up to 5 people) and covers every Level of the Series, so moving up never meets a new paywall.

Does Prep guarantee a score?

No. Prep shows exactly what your child has mastered, what comes next and when they are ready for the next Level. Nobody can promise a contest result.

AIME

American Invitational Mathematics Exam — 15 integer-answer questions; AMC qualifier.

Grades:: Grades 9–12
Format:: 15 Q · 3 h · integer answers 000–999

Let my child try (free)

Series pass $14.99/month for the whole family · the first round and its summary are free, no card needed

Next official date

Feb 5, 2027 – Feb 6, 2027

AIME · Feb 5–6, 2027 (single 2-day window)

Dates and formats come from the organizer (maa.org). Prep is not affiliated with it; the contest name is used to describe what we help with.

What AIME covers

The AIME rewards creative combinations of secondary-school math. This map ladders each of the four core domains — Algebra, Number Theory, Combinatorics & Probability, and Geometry & Trigonometry — from a single technique up to the full domain.

Unit questions open after sign-in with a Series pass. Each child's first round is free, with its summary.

Algebra & Functions
Manipulating expressions, sequences, polynomials, and functions to pin down a single integer.
4 units
- Sequences, Series & Recurrences — Arithmetic and geometric progressions, summation formulas, and recursively defined sequences.
- Polynomials, Roots & Vieta — Relating a polynomial's coefficients to symmetric functions of its roots.
- Equations, Systems & Functions — Solving systems, logarithmic and radical equations, and functional relations.
- Inequalities & Optimization — Bounding quantities, AM-GM extremes, and digit-constrained counts.
Number Theory
Divisibility, congruences, digits, and the arithmetic of the integers.
5 units
- Divisibility & Factorization — Prime factorizations and the divisor and divisor-sum functions.
- Modular Arithmetic & Congruences — Remainders, cyclic behavior of powers, and simultaneous congruences.
- Digits, Units Digits & Bases — Digit sums, the cyclic units digit of powers, and representation in other bases.
- Factorials & Legendre's Formula — Trailing zeros, digit counts, and prime powers hidden inside n!.
- Totients & Diophantine Equations — Euler's totient, sums of coprime residues, and integer solutions of linear equations.
Counting & Probability
Combinatorial models — choosing, arranging, distributing — and the probabilities they produce.
5 units
- Combinations & Selections — Binomial coefficients, subsets, casework, and the binomial theorem.
- Permutations & Arrangements — Ordered arrangements with repetition, around circles, and derangements.
- Distributions & Lattice Paths — Stars-and-bars distributions, grid path counts, and factor-pair counting.
- Inclusion-Exclusion & Structured Counting — Counting unions, squares in a range, and diagonals of polygons.
- Probability — Classical probability with dice, coins, cards, and marbles reduced to lowest terms.
Geometry & Trigonometry
Triangles, circles, coordinates, solids, and the trigonometry and complex numbers that measure them.
5 units
- Triangles & the Pythagorean Theorem — Right triangles, special angles, Heron's area, and similarity.
- Areas, Altitudes & Quadrilaterals — Inradius, altitudes, and areas of trapezoids and rectangles.
- Circles & Power of a Point — Chord lengths, common tangents, and intersecting-chord relations.
- Coordinate & Solid Geometry — Distances in the plane and volumes and diagonals of solids.
- Trigonometry & Complex Numbers — Right-triangle trig ratios and powers and moduli of complex numbers.
More topics
Further topics from the exam's official scope.
36 units

This is the top Level of the Series.

A sample question from AIME

What is the coefficient of x⁴ in the expansion of (x + 2)⁷?

Answer: 280

Worked solution

The x⁴ term is C(7, 4) · x⁴ · 2³.
C(7, 4) = 35 and 2³ = 8, so the coefficient is 280.

Read-only. Every other question opens after sign-in; each child's first round is free.

Questions families ask

What does Prep cover for AMC series?: AMC 8, AMC 10, AMC 12, AIME. Each Level has its own chapter map, practice rounds, sealed practice exams with every answer and worked solution at the end, and a published gate to the next Level.
When is the next AMC series date?: Feb 5, 2027 – Feb 6, 2027 · AIME · Feb 5–6, 2027 (single 2-day window). Always check the organizer's site before registering.
How much does it cost?: Each child's first round and its summary are free, with no card needed. After that, a Series pass is $14.99 a month for the whole family (up to 5 people) and covers every Level of the Series, so moving up never meets a new paywall.
Does Prep guarantee a score?: No. Prep shows exactly what your child has mastered, what comes next and when they are ready for the next Level. Nobody can promise a contest result.