AMC 8 Counting & Probability — Paper 1
AMC 8 Counting practice paper: 30 questions in 48 minutes covering counting and probability, each with a full worked solution and real AMC 8 scoring.
About this test
AMC 8 Counting & Probability — Paper 1 is a full 30-question paper you attempt online in 48 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.
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
- Choosing pairs — 3 questions
- Dice probability — 3 questions
- At least one — 3 questions
- Arrangements — 3 questions
- Spinners — 3 questions
- Grid paths — 3 questions
- Without replacement — 3 questions
- Handshakes — 3 questions
- Counting choices — 3 questions
- Differences — 3 questions
Difficulty spread
- 9 easy questions
- 9 medium questions
- 12 hard questions
A look at the questions
Questions people ask
How long is this paper?
Thirty questions in forty-eight minutes, which is the same ninety-six seconds a question as the real AMC 8.
How is it scored?
One mark per correct answer, nothing for a blank or a wrong one — exactly like the real contest. Since there is no penalty, answer every question.
Are solutions included?
Yes. Every question has a worked solution that names the method, so a wrong answer tells you which technique to revise.