AMC 10 Full Mock — Paper 1
Free AMC 10 full mock paper: 25 questions across algebra, geometry, number theory and counting, timed at 75 minutes with full worked solutions.
About this test
AMC 10 Full Mock — Paper 1 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
- Percentages — 1 question
- Mean and median — 1 question
- Linear equations — 1 question
- Right triangles — 1 question
- Handshakes — 1 question
- Ratios — 1 question
- Vieta relations — 1 question
- Counting divisors — 1 question
- Dice probability — 1 question
- Arithmetic sequences — 1 question
- Circles — 1 question
- Exponent rules — 1 question
- Modular exponentiation — 1 question
- Simultaneous equations — 1 question
- Combinations — 1 question
- Distance formula — 1 question
- Work rates — 1 question
- Logarithms — 1 question
- GCD and LCM — 1 question
- Polygon angles — 1 question
- Floor sums — 1 question
- Geometric probability — 1 question
- Heron's formula — 1 question
- Inclusion-exclusion — 1 question
- Symmetric substitution — 1 question
Difficulty spread
- 5 easy questions
- 7 medium questions
- 8 hard questions
Before you start
25 questions · 75 minutes.
- Each correct answer scores 6 points.
- Each unanswered question scores 1.5 points.
- A wrong answer scores 0 — a blank is worth more than a guess unless you can eliminate at least three options.
- No calculators. Rough work on paper.
This is a full-length paper at real AMC 10 difficulty: questions rise from straightforward through the middle band that decides most scores, to the final tier that separates AIME qualifiers.
A look at the questions
Questions people ask
What does a full mock cover?
All four AMC 10 areas in one sitting: algebra, geometry, number theory, and counting and probability. The questions ramp from warm-up to contest level in the order the real paper does, so it also trains your pacing, not just your technique.
How is it scored?
Real AMC 10 rules: 6 points for a correct answer, 1.5 for a blank and 0 for a wrong one, over 75 minutes. Because a blank outscores a wrong answer, guessing at random on a question you have not read is a losing move.
How does it differ from the topic papers?
A topic paper drills one area deeply, so you know what technique is coming. A full mock does not tell you, which is the harder and more realistic skill: recognising which method a question wants before you start on it.
Are the answers reliable?
Every answer here is computed in code rather than typed by hand, then re-derived independently, and the whole paper is sat end to end with the stored keys to confirm a perfect score before publication.