AMC 12 Mock Paper 20
AMC 12 mock paper 20: 25 questions in 75 minutes under real 6/1.5/0 scoring, covering trigonometry, complex numbers and combinatorics, with worked solutions.
About this test
AMC 12 Mock Paper 20 is a full 25-question paper you attempt online in 75 minutes. It follows the American Mathematics Competition 10 pattern, so the timing, the question style and the marking match the real exam. There is no negative marking, so it is worth attempting every question. Leaving a question blank still earns 1.5 marks.
You get your score the moment you submit, question by question, with a step-by-step solution to every problem. 25 questions in 75 minutes. A high score qualifies for the AIME.
What it covers
Sections
- Logarithms — 1 question
- Vieta relations — 1 question
- Trigonometry — 1 question
- Combinations — 1 question
- Modular exponentiation — 1 question
- Arithmetic sequences — 1 question
- Distance formula — 1 question
- Dice probability — 1 question
- Remainder theorem — 1 question
- Heron's formula — 1 question
- Logarithm equations — 1 question
- Complex numbers — 1 question
- Adjacency restrictions — 1 question
- Law of cosines — 1 question
- Counting divisors — 1 question
- Infinite geometric series — 1 question
- Symmetric substitution — 1 question
- Inclusion-exclusion — 1 question
- Roots of unity — 1 question
- Functional equations — 1 question
- Floor sums — 1 question
- Composed functions — 1 question
- Expected maximum — 1 question
- Reciprocal equations — 1 question
- Weighted binomial sums — 1 question
Difficulty spread
- 10 medium questions
- 8 hard questions
A look at the questions
Questions people ask
How is this paper scored?
Six points for a correct answer, 1.5 for a blank and 0 for a wrong one, over 25 questions in 75 minutes — identical to the real AMC 12. A blank beats a guess unless you have eliminated at least three options.
How hard is it?
It ramps like the real paper: ten approachable questions, eight in the band that decides most scores, and seven genuinely hard ones drawing on roots of unity, functional equations and multi-step counting.
What score should I aim for?
The AIME threshold is a fixed 85 points from the 2026-27 cycle. Fourteen correct answers with the remaining eleven left blank scores 100.5, so you do not need the hardest questions to qualify.