American Mathematics Competitions AMC 12 Practice Test 2023 [UPDATED] Mock Test / Worksheet PDF: Try our MAA’s American Mathematics Competitions (MAA AMC) official questions and answers. You can try our free online quiz for AMC 12 Practice Test or you can download the official practice test in printable PDF with an explanation or solution.
The AIME (American Invitational Mathematics Examination) is an intermediate examination between the AMC 10 or AMC 12 and the USAMO. All students who took the AMC 12 and achieved a score of 100 or more out of a possible 150 or were in the top 5% are invited to take the AIME.
AMC 12 Practice Test 2023
About American Mathematics Competitions
The American Mathematics Competitions (AMC) are the first of a series of competitions in secondary school mathematics that determine the United States team for the International Mathematical Olympiad (IMO). The selection process takes place over the course of roughly four stages. At the last stage, the Mathematical Olympiad Summer Program (MOP), the United States coaches select six members to form the IMO team.
|Test Name||AMC 12 Math Test|
|Negative Marking||No penalty for wrong answers|
|Test mode||online or paper|
|Registration Fee||$70.00 to $128.00|
|Test level||high school mathematics|
There are three levels:
- the AMC 8, for students under the age of 14.5 and in grades 8 and below
- the AMC 10, for students under the age of 17.5 and in grades 10 and below
- the AMC 12, for students under the age of 19.5 and in grades 12 and below
The AMC 12 consists of 25-question, with a time limit of 75-minute. The test is a multiple-choice examination in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The AMC 12 provides an opportunity for high school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers.
- Students must be in grade 12 or below and also under 19.5 years of age on the day of the competition.
Pricing for the AMC 10/12 is $2.70 per participant, packaged in bundles of 10. Each bundle consists of 10 student registrations, which can be applied to either digital or print & scan administration. Discounted pricing is applied to orders paid with a credit card. All payments are processed on the MAA AMC Registration website: amc-reg.maa.org. There are no other required registration fees on any other website.
- For online accommodations: please submit the form on maa.org/amc after registration to secure online timing accommodations.
- For in-person accommodations: please consult the student’s accommodations plan.
AMC 12 Scoring
The competitions are scored based on the number of questions answered correctly and the number of questions left blank. A student receives 6 points for each question answered correctly, 1.5 points for each question left blank, and 0 points for incorrect answers. Thus, a student who answers 24 correctly, leaves 1 blank and misses 0 gets 24 × 6 + 1.5 × 1= 145.5 points. The maximum possible score is 25 × 6 = 150 points; in 2020, the AMC 12 had a total of 18 perfect scores between its two administrations, and the AMC 10 also had 18.
Score reports will be emailed to CMs and added to CM’s AMC online accounts when answer sheets are scored. Note: If you do not receive your results via email within 30 days of administering the AMC 10/12A, please contact firstname.lastname@example.org.
MAA AMC Study Guide / Books
There are many fine books to study. We suggest you start by looking through the Problem Books Section at the MAA Bookstore. Currently, the Contest Problem Books Volumes I – IX catalogue all the American Mathematics Competition problems from 1950 to 2007, and these books are a good place to start.