Amc 12 Practice Test 2026 — Free Questions & Explanations

AMC 12 - - American Mathematics Contest 12 Practice Test

AMC 12 Practice Test : Free Exam Questions & Study Guide

The AMC 12 is one of the most prestigious high school mathematics competitions in the world. Our comprehensive AMC 12 Practice Test is designed to help you master the challenging concepts found on the actual exam. Whether you are aiming for the AIME cutoff or simply looking to improve your problem-solving skills, these resources are essential.

Understanding the American Math Competition 12 format is key to success. This guide covers everything from AMC 12 problems to registration details. Start your preparation with our free AMC 12 exam questions and detailed study strategies to maximize your performance.

⏱️

75m

Time Limit

📝

Questions

✅

~6%

AIME Qualify

💵

$53+

Reg Fee

The AMC 12 is the first in a series of competitions that lead all the way to the International Mathematical Olympiad. Scoring well can open doors to prestigious universities and STEM careers.

Test-takers preparing for american mathematics competitions amc 8 will find our AMC 8 practice test 2026 invaluable for mastering the content and format before exam day.

AMC 12 Practice Test Questions

Prepare for the AMC 12 - - American Mathematics Contest 12 exam with our free practice test modules. Each quiz covers key topics to help you pass on your first try.

AMC 12 Sequences, Series & Limits

AMC 12 Exam Questions covering AMC 12 Sequences, Series & Limits. Master AMC 12 Test concepts for certification prep.

AMC 12 Trigonometry & Complex Numbers

Free AMC 12 Practice Test featuring AMC 12 Trigonometry & Complex Numbers. Improve your AMC 12 Exam score with mock test prep.

AMC 12 Assessment Strategies

AMC 12 Mock Exam on Assessment Strategies. AMC 12 Study Guide questions to pass on your first try.

AMC 12 Classroom Management

AMC 12 Test Prep for Classroom Management. Practice AMC 12 Quiz questions and boost your score.

AMC 12 Curriculum Development

AMC 12 Questions and Answers on Curriculum Development. Free AMC 12 practice for exam readiness.

AMC 12 Educational Technology

AMC 12 Mock Test covering Educational Technology. Online AMC 12 Test practice with instant feedback.

AMC 12 Learning Theories

Free AMC 12 Quiz on Learning Theories. AMC 12 Exam prep questions with detailed explanations.

AMC 12 Professional Development

AMC 12 Practice Questions for Professional Development. Build confidence for your AMC 12 certification exam.

AMC 12 Special Populations

AMC 12 Test Online for Special Populations. Free practice with instant results and feedback.

AMC 12 Student Engagement

AMC 12 Study Material on Student Engagement. Prepare effectively with real exam-style questions.

AMC 12 Algebra & Functions

Free AMC 12 Test covering Algebra & Functions. Practice and track your AMC 12 exam readiness.

AMC 12 Combinatorics & Probability

AMC 12 Exam Questions covering Combinatorics & Probability. Master AMC 12 Test concepts for certification prep.

AMC 12 Geometry & Measurement

Free AMC 12 Practice Test featuring Geometry & Measurement. Improve your AMC 12 Exam score with mock test prep.

AMC 12 Number Theory & Mathematical Logic

AMC 12 Mock Exam on Number Theory & Mathematical Logic. AMC 12 Study Guide questions to pass on your first try.

FREE AMC 12 PRACTICE TEST

AMC 12 Flashcards

Quick review for key AMC 12 concepts

📚 📐What is the sum of interior angles in an n-sided polygon?

The sum is (n-2) × 180 degrees.

🎯 🔢What is the formula for the nth term of an arithmetic sequence?

The formula is an = a1 + (n-1)d.

💡 🎲What is the probability of independent events A and B both occurring?

P(A and B) = P(A) × P(B).

🔑 📊What is the formula for the area of a circle?

Area = πr², where r is the radius.

📝 🧠What is the value of i raised to the power of 4?

i⁴ = 1.

⭐ 📝What is the quadratic formula?

x = [-b ± √(b² - 4ac)] / 2a.

AMC 12 EXAM QUESTIONS QUIZ

AMC 12 Exam Study Guide

This AMC 12 study guide provides essential information about the competition. Navigate the tabs below to learn about the AMC 12 format, registration, and more.

📚 AMC 12 Basics

What is the AMC 12 exam?: The AMC 12 exam is a mathematics competition for students in grade 12 or below, designed to identify and encourage mathematical talent.
Who can take the AMC 12 test?: Any student in grade 12 or below and under 19.5 years of age on the day of the contest is eligible for the AMC 12 test.
What does AMC 12 stand for?: AMC 12 stands for American Mathematics Competitions 12, administered by the Mathematical Association of America.
Is the AMC 12 hard?: Yes, the AMC 12 problems are challenging and cover advanced high school mathematics topics, requiring creative problem-solving skills.

📝 AMC 12 Format

How many questions are on the AMC 12?: The AMC 12 examination consists of 25 multiple-choice questions.
How long is the AMC 12 exam?: Students have 75 minutes to complete the AMC 12 test.
What topics are covered on the AMC 12?: The exam covers trigonometry, advanced algebra, geometry, number theory, and counting/probability. Calculus is not included.
Are calculators allowed on the AMC 12?: No, calculators have been banned from the AMC 12 competition since 2008.

📅 AMC 12 Registration

How do I register for the AMC 12?: You must register through a participating school or institution. Use the AMC 12 near me search on the MAA website to find a host.
When is the AMC 12 exam date?: The AMC 12 dates typically fall in November, with two administration options: AMC 12A and AMC 12B.
What is the AMC 12 cost?: Registration fees vary by center, but standard MAA registration packages start around $53 plus per-student fees.
Can I take both AMC 12A and 12B?: Yes, eligible students can take both the AMC 12A and AMC 12B if their school offers them.

🏆 AMC 12 Results

What is a good AMC 12 score?: A score of 100+ or top 5% typically qualifies for the AIME. Perfect scores of 150 are rare and prestigious.
How is the AMC 12 scored?: You get 6 points for correct answers, 1.5 for unanswered questions, and 0 for incorrect answers.
When are AMC 12 results released?: AMC 12 results are usually released within 3-4 weeks after the exam date.
What comes after the AMC 12?: High scorers are invited to the AIME, followed by the USAMO for top performers.

💡 AMC 12 Tips

How should I study for the AMC 12?: Practice with AMC 12 past tests and focus on your weak areas using our free quizzes.
Should I guess on the AMC 12?: Since blank answers earn 1.5 points, you should only guess if you can eliminate enough choices to make the expected value higher than 1.5.
What are common AMC 12 tricks?: Look for patterns, use symmetry, and try small cases. Many AMC 12 problems have elegant solutions that avoid brute force.
Is there an AMC 12 formula sheet?: No formulas are provided. You must memorize key theorems in geometry, algebra, and number theory.

START AMC 12 MOCK EXAM

AMC 12 Score Calculator

Total Scored Questions

150

Estimated score calculation

105 out of 150 correct

70%

Required to Pass: ~70% (Estimated)

Your Score: 105 correct ✓ PASS

AMC 12 Score Interpretation

Understanding your AMC 12 results is crucial for determining AIME eligibility.

Score Range	Achievement Level	Percentile	Recommendation
🏆 135 - 150	Distinguished Honor Roll	Top 1%	Prepare for USAMO
🥇 100 - 134	Honor Roll (AIME)	Top 5%	Register for AIME
🥈 85 - 99	Certificate of Achievement	Top 15-20%	Practice Harder Problems
🥉 60 - 84	Participant	Top 50%	Focus on Basics
📝 0 - 59	Beginner	Below 50%	Review Algebra & Geometry

AMC 12 Registration Process

Follow this timeline to ensure you are ready for the AMC 12 competition. Early preparation for AMC 12 problems is recommended.

📅

SEP

-OCTRegister Sign up through school

📘

OCT

-NOVStudy Use

✍️

NOVExam Day Take AMC

12A or 12B

🏆

DEC

-JANResults Check AIME status

Locate a Center - Find a school offering the AMC 12 exam using the MAA zip code search.
Contact Competition Manager - Ask the school's math department about registering as a student.
Select Exam Date - Choose between AMC 12A and AMC 12B dates.
Pay Fees - Cover any registration costs required by the host center.
Prepare Materials - Gather #2 pencils, rulers, and compasses (no calculators!).
Take Practice Tests - Simulate the exam with our free AMC 12 sample test.
Show Up Early - Arrive at the testing location 30 minutes before the start time.

Participating in the AMC 12 competition is a low-cost investment with high potential returns for college admissions and scholarships.

AMC 12 PRACTICE TEST FREE AMC 12 CERTIFICATION PRACTICE TEST

AMC 12 Test Day Checklist

Valid Student ID

No Calculators (Banned!)

#2 Pencils with Erasers

Ruler and Compass

Scratch Paper (Provided)

Protractor (Optional)

Watch (Non-Smart)

Water Bottle

Master the AMC 12 Today

Join thousands of students using our AMC 12 practice resources to qualify for the AIME. Start your journey now!

Pros

Validates your knowledge and skills objectively
Increases job market competitiveness
Provides structured learning goals
Networking opportunities with other certified professionals

Cons

Study materials can be expensive
Exam anxiety can affect performance
Requires dedicated preparation time
Retake fees apply if you don't pass

AMC 12 Questions and Answers

How long is the AMC 12 exam?

The AMC 12 is a 75-minute timed examination administered in a single sitting. Students must complete all 25 multiple-choice problems within this window, averaging three minutes per question. The test is proctored and follows strict timing rules set by the Mathematical Association of America (MAA).

What topics are covered on the AMC 12?

The AMC 12 covers the standard high school mathematics curriculum including algebra, geometry, trigonometry, complex numbers, sequences, probability, counting, and elementary number theory. Questions exclude calculus but often require creative problem-solving and multi-step reasoning rather than rote formula application.

Who is eligible to take the AMC 12?

The AMC 12 is open to students in grade 12 or below who are under 19.5 years of age on the day of the contest. Participants must be enrolled full-time in a secondary school and take the exam through a registered school or approved testing institution in the United States or Canada.

How do I register for the AMC 12?

Registration is handled through schools rather than individual students. A teacher or school administrator must register as a Competition Manager on the MAA AMC website, order the exam materials, and schedule the testing date. Homeschooled students can participate through a local school or approved homeschool group.

How much does it cost to take the AMC 12?

Schools pay a registration fee of approximately $90 per competition, plus around $25 per bundle of 10 exam booklets. Late registration incurs additional fees. Individual student costs vary by school, as some institutions absorb the expense while others charge participants a small fee to cover materials.

When is the AMC 12 administered each year?

The AMC 12 is offered twice annually in November, with the 12A typically held on a Wednesday and the 12B on the following Tuesday about a week later. Students may take both versions but cannot retake the same one. Results are usually released within a few weeks of testing.

What is the best way to prepare for the AMC 12?

Effective preparation includes working through past AMC 12 exams from previous years, studying resources from Art of Problem Solving, and practicing under timed conditions. Focus on building speed with algebra and geometry fundamentals, then progress to harder problems involving creative techniques like casework, symmetry, and clever substitutions.

What score qualifies you for the AIME from the AMC 12?

Students scoring 100 points or higher on the AMC 12, or placing in the top 5 percent of all AMC 12 participants, qualify for the American Invitational Mathematics Examination (AIME). The exact cutoff varies slightly each year based on test difficulty and overall participant performance.

▶ Start Quiz