State and National Mathematics Competitions

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There are many ways to get involved as a mathematics educator in Colorado, including a listserv, several organizations for teachers and supervisors of mathematics, and events you can attend.

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CDE thanks Dr. David Carlson, co-founder and co-chair of the Colorado Math Awards, for this contribution.

For more than thirty years, Colorado middle school and high school students have challenged themselves beyond the classroom by participating in state and national math competitions. Preparing for such contests in small groups can be a great way for students to improve their problem-solving abilities, gain self-confidence and improve communication skills. Here are five opportunities to complement classroom instruction this school year for students who enjoy solving math problems. The first two are state-level contests and free of charge.

Colorado Mathematics Competitions

Annual Secondary School State Mathematics Contest

The Annual Secondary School State Mathematics Contest, sponsored by the University of Northern Colorado since 1992, is for students in grades 7-12, although younger students are welcome to participate. The contest consists of two rounds: a 90-minute First Round, done remotely between October 22nd and October 29th, 2025, and a three-hour Final Round at UNC on Saturday, March 7th, 2026. Last year, more than 900 students statewide participated in the First Round, including 73 in grades 4-6; 199 students from the First Round were invited to participate in the Final Round and of those, 104 came to the UNC campus to compete in-person.

All grade levels are given the same questions. Each round is a paper and pencil exam with about 9-12 problems. Students compete individually, and no electronic devices are to be used in working on the problems. Both rounds challenge students to exercise their creativity and ingenuity to solve problems in geometry, algebra, combinatorics, probability, logic, and number theory.

Soifer (formerly Colorado) Mathematical Olympiad.

The Soifer Mathematical Olympiad, founded in 1984 by Dr. Alexander Soifer, professor of mathematics at the University of Colorado Colorado Springs (UCCS), is for Colorado students in grades 5-12. This is an individual competition that does not require any school performance prerequisites. Participants may use calculators but not the internet. Students are asked to solve five problems in four hours, presenting their results in essay-type solutions. One week later, the students return to campus to learn answers to the questions and names of competition winners and to hear comments from previous winners and judges. The top winners receive scholarships to be applied to the 4-year U.S. institution of their choice. Last year, about 200 students participated, including several students from the Scottsdale, Nebraska High School Math Team.

For Fall 2025, the Olympiad will be held on Saturday, October 3rd, from 9:00 a.m. to 1:00 p.m. on the UCCS campus. Preregistration closes at 5 p.m. on October 2nd, but on-site registration on October 3rd is available at Berger Hall on the UCCS campus at 8 a.m. There is no fee to young Olympians to participate, but a recommended optional donation from schools and/or school districts is $300. The Award Presentation Ceremonies will be held at 2:00 p.m. on Saturday, October 10th.

Colorado State University Math Day

The Colorado State University Math Day will be held on November 13, 2025 at CSU in Fort Collins. Doors open for check-in and the Math Fair at 7:30, and main events run from 9:00 am to 4:00 pm. The CSU Math Day has been held since 1977 and each year attracts 300 to 400 high school students from Colorado and surrounding states. The event includes a lecture, a quiz-bowl-style tournament involving three-member teams in small- and large-school divisions, student math projects, and other activities throughout the day. Registration opens Friday, September 12th and will remain open until Friday, November 7, 2025. The cost to participate is $25.00 per student and schools can register up to 30 students.

Colorado State University - Pueblo Math Day

The 44th CSU-Pueblo Math Day will be held on November 20, 2025. The event includes both the Swanson and Math Bowl competitions on the CSU-Pueblo campus, and draws participants from districts throughout the Pueblo region. The Swanson Competition is a rigorous exam with trophies for the top six performers. The Math Bowl Competition is a fast-paced, head-to-head contest between two 3-person teams who each get 25 seconds to answer a mathematical question. Teams advance through a double-elimination tournament bracket to determine a champion.

Colorado Mathematics League

The Colorado Mathematics League is one of several state math leagues supported administratively by The Math League. Six monthly high school contests are given nationwide (October – March); students have 30 minutes to solve six problems. Annual middle school contests are given nationwide in February; students have 30 minutes to solve 35 multiple-choice problems (A-D). Annual contests for Grades 6, 7, and 8 are given nationwide in February; students have 30 minutes to solve 30 multiple-choice problems (A-D). Last year, 23 schools in Colorado registered. Organizers say that, “On our high school contests, an interested 9th or 10th grader should be able to solve 3 to 5 of the 6 problems. Our 6th question is challenging for the most gifted students. For grades 4-8, all students can achieve success on the first half of our annual contests, while the last half should prove challenging to the best students.”

Registration deadlines: September 30th (high school), December 31st (Grades 6, 7, and 8); January 31st (grades 4 and 5). Registration fees: $45 per set of 30 exams (includes shipping) for grades 4-8; $100 for 6 sets of 30 exams each (1 set per month, high school).

National Mathematics Competitions

American Mathematics Competitions (AMC 8, 10, 12)

Founded in 1950, the American Mathematics Competitions are the preeminent math competition for students K-12. Today, over 300,000 students in 50 states and over 30 countries take the AMC to bolster their confidence and passion for math.

The 40-minute, 25-question, multiple-choice AMC 8 contest is open nationally to students in grade 8 or below without prerequisites. The AMC 10 & 12 contests are similar but 75 minutes in length. Top students in the AMC 10 & 12 contests are invited to participate in additional exams that eventually result in selecting a team of six students to represent the United States in the International Mathematical Olympiad.

AMC 8 Contest dates: January 22-28, 2026
Registration dates and fees: Early Bird (Oct. 28th, $55); Regular (Jan. 5th, $75); Late (Jan. 15, $115)
Test booklet fees: $30 per bundle of ten exams

AMC 10 and 12 Contest dates: November 5th (10A and 12A), November 13th (10B and 12B)
Registration dates and fees: Early Bird (Sept. 30th, $55); Regular (Oct. 15th, $75); Late (Oct. 28th, $115)
Test booklet fees: $30 per bundle of ten exams

MATHCOUNTS

MATHCOUNTS is a national math enrichment, coaching, and competition program that promotes middle school mathematics achievement in every U.S. state and territory. For more than 30 years, it has been one of the most successful education partnerships involving volunteers, educators, industry sponsors and students.

Topics covered include algebra, probability, approximation, geometry, and statistics. Problems fit in 6th, 7th, and 8th grade curriculums across the country. Problems are designed to accelerate students’ interest and achievement in mathematics.

The Colorado MATHCOUNTS program is made possible by the National Society of Professional Engineers–Colorado (NSPE-CO). Schools register with MATHCOUNTS to receive coaching and testing materials and begin in September preparing for regional competition that is held in February. Top teams are invited to the state competition in March. The top four students in the individual competition round comprise Colorado's team in national competition with other U.S. state and territory teams.

AreteLabs Math Madness Competition

AreteLabs hosts a competition each fall for students in 3rd through 12th grade. A bracket tournament follows 4 weeks of league play, and matches can be played any day or time. The competition takes place between October and December. For more information, visit the Math Madness website.

Colorado Math Awards

The Colorado Math Awards, an all-volunteer, tax-exempt organization, was established in 1996 to recognize outstanding performance in national and international mathematics competitions and contests by Colorado middle school, high school, and college students. Founding sponsors include CCTM, the Rocky Mountain Section of the MAA, Colorado MATHCOUNTS, the Colorado Department of Education, and American Mathematics Competitions.

$250 National Math Competition Grants for Colorado Rural Middle Schools

To encourage greater participation in the AMC 8 contest by rural middle schools, Colorado Math Awards is offering a limited number of $250 grants to defray the costs of AMC registration and test-taking materials. Unused funds may be used at the discretion of the school to help prepare for the test and to celebrate their participation and results afterward. For more information and to apply, visit the Colorado Math Awards website.

Updated September 11, 2025