Past Olympiad Problems
Science Olympiad Problems
Physics Olympiad Preliminary
Students needs to answer 25 multiple choice questions. Top 5% may be invited to take USAPhO which is in free response format. Top performers may be invited to USA’s Physics Olympiad Camp at which the final selection may be made.
Click on the link below to check out past exams and solutions.
Students needs to answer 25 multiple choice questions. Top 5% may be invited to take USAPhO which is in free response format. Top performers may be invited to USA’s Physics Olympiad Camp at which the final selection may be made.
Click on the link below to check out past exams and solutions.
Math Olympiad Problems
AMC 8
“The AMC 8 is a 25 question, 40 minute multiple choice examination in middle school mathematics designed to promote the development and enhancement of problem solving skills.” (https://www.maa.org/math-competitions/american-mathematics-contest-8-amc-8)
High scorers may get recognition and certificate of achievement.
Click on the link below to check out past exams and solutions.
AMC 10
“The AMC 10 is a 25 question, 75 minute multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators are not allowed”
(https://www.maa.org/math-competitions/amc-10-american-mathematics-contest-10)
Top 2.5% in scoring may be invited to take AIME. The test is only available to those who are at, or below 10th grade.
Click on the link below to check out past exams and solutions.
AMC 12
AMC 12 is similar to AMC10 except it involves more difficult questions and is open to those in 11th and 12th grade. Top 5% in scoring may be invited to take AIME.
Click on the link below to check out past exams and solutions.
AIME
“For students who perform exceptionally well on the AMC 10/12, they are invited to continue participating in the AMC series of examinations that culminate with the International Mathematical Olympiad (IMO). The first in this series is the American Invitational Mathematics Exam (AIME), followed by the USA Mathematical Olympiad and Junior Mathematical Olympiad (USAMO and USAJMO). The top participants from the USA(J)MO are invited to the Mathematical Olympiad Program in the summer after the competition. Participants from the Mathematical Olympiad Program are then eligible to be selected for the following summer’s six-member team that will represent the United States of America at the IMO.”
(https://www.maa.org/math-competitions/invitational-competitions)
Click on the link below to check out past exams and solutions.
Other Competitions
The link below contains depository and discussion board of diverse math Olympiad problems from many countries for many years.
MATHCOUNTS
“A national program that provides students in grade 6-8 the opportunity to compete in live, in-person contests against and alongside their peers.”
“The Competition Series has 4 levels of competition—school, chapter, state and national. Each level of competition is comprised of 4 rounds—Sprint, Target, Team and Countdown Round. Altogether the rounds are designed to take about 3 hours to complete.”
( https://www.mathcounts.org/programs/mathcounts-competition-series)
High performers are invited to State and National Events with some of the travelling fee and accommodations provided by the Mathcounts organizers. Some Monetary awards may exist
The link below contains problems from last year.
The link below contains archive of past problems of the week made by Mathcounts
The link below contains 250 math problems Mathcounts recommends as practice problems for upcoming contest.
“The AMC 8 is a 25 question, 40 minute multiple choice examination in middle school mathematics designed to promote the development and enhancement of problem solving skills.” (https://www.maa.org/math-competitions/american-mathematics-contest-8-amc-8)
High scorers may get recognition and certificate of achievement.
Click on the link below to check out past exams and solutions.
AMC 10
“The AMC 10 is a 25 question, 75 minute multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators are not allowed”
(https://www.maa.org/math-competitions/amc-10-american-mathematics-contest-10)
Top 2.5% in scoring may be invited to take AIME. The test is only available to those who are at, or below 10th grade.
Click on the link below to check out past exams and solutions.
AMC 12
AMC 12 is similar to AMC10 except it involves more difficult questions and is open to those in 11th and 12th grade. Top 5% in scoring may be invited to take AIME.
Click on the link below to check out past exams and solutions.
AIME
“For students who perform exceptionally well on the AMC 10/12, they are invited to continue participating in the AMC series of examinations that culminate with the International Mathematical Olympiad (IMO). The first in this series is the American Invitational Mathematics Exam (AIME), followed by the USA Mathematical Olympiad and Junior Mathematical Olympiad (USAMO and USAJMO). The top participants from the USA(J)MO are invited to the Mathematical Olympiad Program in the summer after the competition. Participants from the Mathematical Olympiad Program are then eligible to be selected for the following summer’s six-member team that will represent the United States of America at the IMO.”
(https://www.maa.org/math-competitions/invitational-competitions)
Click on the link below to check out past exams and solutions.
Other Competitions
The link below contains depository and discussion board of diverse math Olympiad problems from many countries for many years.
MATHCOUNTS
“A national program that provides students in grade 6-8 the opportunity to compete in live, in-person contests against and alongside their peers.”
“The Competition Series has 4 levels of competition—school, chapter, state and national. Each level of competition is comprised of 4 rounds—Sprint, Target, Team and Countdown Round. Altogether the rounds are designed to take about 3 hours to complete.”
( https://www.mathcounts.org/programs/mathcounts-competition-series)
High performers are invited to State and National Events with some of the travelling fee and accommodations provided by the Mathcounts organizers. Some Monetary awards may exist
The link below contains problems from last year.
The link below contains archive of past problems of the week made by Mathcounts
The link below contains 250 math problems Mathcounts recommends as practice problems for upcoming contest.
