Last year's chapter, invitational and state competitions are available for free!
We'll replace these files as the current year's competitions are completed. Click links below to download each round of our past competitions.
You can purchase online resources or books to access additional MATHCOUNTS competition problems. Click the buttons at the left to learn more.
We sell resources to help cover the cost of the free materials and programs we provide, so purchasing MATHCOUNTS materials helps support the work we do!
- The Most Challenging MATHCOUNTS Problems Solved (Vols. 1 & 2)
- MATHCOUNTS Competitions (various volumes)
- The All-Time Greatest MATHCOUNTS Problems
If you purchased a competition book through our online store, there may be step-by-step solutions available. Email us at [email protected] and provide proof of purchase to learn more.
OPLET Problem Database
Get one year of access to over 15,000 competition and handbook problems, plus over 6,000 step-by-step solutions. Save time by creating personalized practice worksheets. Learn more and purchase a 12-month subscription at www.mathcounts.org/myoplet.
Coaches who register their school for the MATHCOUNTS Competition Series receive a $5 discount per registered student (up to $50 off)!
COMPETITION RULES & FAQ
2021-2022 Official Rules + Procedures for the MATHCOUNTS Competition Series
Please click the button below to go to the Official Rules + Procedures for the MATHCOUNTS Competition Series. The MATHCOUNTS Foundation reserves the right to alter these rules and procedures at any time. Coaches are responsible for being familiar with the rules and procedures outlined on that page. Coaches should bring any difficulty in procedures or in student conduct to the immediate attention of the appropriate chapter, state or national official. Students violating any rules may be subject to immediate disqualification.
Thank you to the National Competition Title Sponsor!
General Program Questions
What exactly does a MATHCOUNTS competition consist of? What do students do in this program?
The Competition Series has 4 levels of live, in-person math competitions - 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.
Usually, beginning in the fall, students work with their coaches to prepare for the competition, using resources provided by MATHCOUNTS. Then, competitions begin in the winter and run through the spring. Learn more about the program. Learn more about the role of a coach.
Is the MATHCOUNTS Competition Series in my area?
Yes! More than 500 MATHCOUNTS competitions take place in all 50 states, the District of Columbia, Puerto Rico, U.S. Virgin Islands, Guam and in schools worldwide affiliated with the Dept. of Defense and State Department. Any U.S. middle school (with students in grades 6-8) can register.
Please refer to the list of Registered Competition Series Schools for 2021-2022 to see if your student's school already has registered for this year. You also can use the Chapter & State Competition Search tool to contact the volunteer coordinators who plan and run local competitions to get additional information for your area.
Who is eligible to compete?
Please refer to the Official Rules + Procedures for the Competition Series for complete information regarding student eligibility, including information about NSCs.
Students enrolled in grades 6-8 are eligible to participate in the MATHCOUNTS Competition Series. Students taking middle school mathematics classes who are not full‑time students in grades 6-8 are not eligible. All types of schools—public, private, charter, virtual and home schools—are eligible to register for the Competition Series. In addition to their registration form and payment, participating home schools must submit a separate Home School Participation Form. Tutoring/enrichment centers or other groups that do not function as students' official school of record are not eligible.
When specifically are the competitions and what happens if I have a conflict of dates for my local competition?
Click here for the MATHCOUNTS Critical Dates. A conflict with a religious observance is the only type of conflict that is accommodated. Refer to the Official Rules + Procedures for the Competition Series for complete details.
- School competitions: November 2021 – January 2022, determined by the school’s coach. A copy of the 2022 School Competition will be released online Nov. 1, 2021.
Chapter competitions: February 1-28, 2022. To find the specific competition date for your area and your chapter coordinator's contact information, use the Chapter and State Competition Search tool.
State competitions: March 1-31, 2022. To find the specific competition date for your state and your state coordinator's contact information, use the Chapter and State Competition Search tool.
2022 Raytheon Technologies MATHCOUNTS National Competition: May 7-9 in Washington, DC.
Can a school participate in more than one MATHCOUNTS program?
Yes! We encourage schools to participate in all 3 MATHCOUNTS programs!
What is the MATHCOUNTS Foundation's non-discrimination policy?
The MATHCOUNTS Foundation makes its products, programs and services available on a nondiscriminatory basis. MATHCOUNTS does not discriminate on the basis of race, religion, color, creed, gender or gender identity, sexual orientation, physical disability or ethnic origin.
What are the rules regarding the use of the MATHCOUNTS Foundation's copyrighted resources and materials?
Unauthorized reproduction of the contents of MATHCOUNTS resources and publications are a violation of applicable laws. Teachers may duplicate and share MATHCOUNTS materials only for use with their own students. Other uses of MATHCOUNTS materials, particularly for profit, are prohibited without the expressed written permission of the MATHCOUNTS Foundation.
Registration + Payment Questions
How can I register a school for the Competition Series?
Teachers and school administrators:
Parents and other volunteers not employed by the school:
Check with the school’s administration and math department to ensure a program is not already established at the school. You also should refer to the list of Registered Competition Schools for 2021-2022 to see if a teacher already has registered.
Get permission from the school administration to register, if there is no program already established and you would like to start one. We recommend having this permission in writing from a school administrator to keep for your records.
Register using one of the methods listed above under “Teachers and school administrators.”
How do non-school competitors (NSCs) register for the Competition Series?
Before registering, NSCs must ensure they are eligible.A student may register as an NSC only if their official school of record is not registering for the Competition Series and will not support student participation in the program through the school. MATHCOUNTS may contact the schools of registered NSCs to confirm that the school is not participating in the Competition Series and reserves the right to cancel an NSC’s registration, without refund, if their school registers for the Competition Series.
The parent/guardian of an NSC must register online and pay with a credit card. Offline forms are not accepted for NSCs. Find out more about registering a non-school competitor.
My student’s school isn’t registered for the Competition Series. How do I sign up?
Parents/guardians and other volunteers not employed by the school:
- Check with the school’s administration and math department to ensure a program is not already established at the school. You also should refer to the list of Registered Competition Schools for 2021-2022 to see if a teacher already has registered.
- Get permission from the school administration to register, if there is no program already established and you would like to start one. We recommend having this permission in writing from a school administrator to keep for your records.
- If you receive permission from the school administration to register, complete a school-based registration at www.mathcounts.org/compreg.
- If the school will not register for the Competition Series and will not support your child’s participation in the program through the school, complete an NSC registration. Find out more about registering a non-school competitor.
What is the difference between a home school student, a virtual school student and an NSC? How do I know what type of registration I should complete?
Refer to the Official Rules + Procedures for the Competition Series for complete details regarding NSCs, virtual schools and home schools.
- A home school student is a student whose official school of record is a home school—even if some of their coursework is done through a virtual program or service. Home school students should not register as NSCs and instead should register as school-based competitors and complete the 2021-2022 Home School Participation Form.
- A virtual school student is a student whose official school of record is a virtual school—even if that student is doing their coursework at home. Virtual school students should first try to register as school-based competitors through their virtual school by contacting school administrators/educators. A virtual school student should register as an NSC only if their virtual school will not register for the Competition Series and will not support their participation through the school.
- An NSC is a student whose school—whether virtual or brick-and-mortar—will not register for the Competition Series and will not support their participation through the school.
My child is enrolled at a brick-and-mortar school but this year is taking all their classes in virtual school. How do we register?
If you child’s official school of record is the brick-and-mortar school, they should register through that school, even if they are doing virtual classes.
If your child’s official school of record is the virtual school, then they should register through the virtual school. If your child’s official school of record is a district-wide online school—and students at that virtual school are not segmented into smaller schools for enrollment purposes—please contact the MATHCOUNTS national office to ensure you complete the proper registration. Refer to the Official Rules + Procedures for the Competition Series for complete details regarding NSCs, virtual schools and home schools.
How much does it cost to participate and what is included?
Early Bird Rate: Registrations received (postmarked) by Nov. 12, 2021
$30 per student or $360 for the max registration of 12 students (1 team of 4 + 8 individuals)
$60 for an NSC
Regular Rate: Registrations received (postmarked) by Dec. 17, 2021
$35 per student or $420 for the max registration of 12 students (1 team of 4 + 8 individuals)
$65 for an NSC
Late Rate: Registrations received (postmarked) after Dec. 17, 2021
- $40 per student or $480 for the max registration of 12 students (1 team of 4 + 8 individuals)
- $70 for an NSC
Title I schools receive a 50% discount on their registration fees. Title I schools are public /charter schools that meet one or both of the following criteria: (1) 40% or more of the school's students qualify for free/reduced lunch; (2) the school receives School Wide Title I funding. NSCs are not eligible for the Title I schools discount.
Where is the offline registration form for NSCs?
What is included with my registration?
For both schools and NSCs, registration includes:
The mailed School Competition Kit, with a hard copy of the MATHCOUNTS School Handbook, participation certificates and ribbons.
Entry into the Chapter Competition. Schools can send however many students they register (1-12 students per school). NSCs are considered 1 student but no more than 12 NSCs from the same school may register for the Competition Series (eligibility is based on a first-come, first-served basis).
Competition entry for the school’s students for as far as they progress in the Competition Series. If a student progresses to the state or national level, there are no additional registration fees required.
How can I obtain a copy of the MATHCOUNTS W-9 form?
What forms of payment are accepted? Can I pay with a credit card?
For NSC registrations, MATHCOUNTS only accepts payments via credit card. For school-based registrations, MATHCOUNTS accepts payments via credit card, check, purchase order (PO) and money order.
- Credit card information cannot be provided on offline registration forms. To pay with a credit card, either 1) register online or 2) submit an offline form and select “Credit Card” as your payment option so MATHCOUNTS can send you an electronic invoice to accept payment.
- POs can be used with either online or offline registrations. The PO number must be provided if registering online, and a copy of the PO must be included with offline registration forms.
How can I get an invoice for my school’s Competition Series registration?
The person who completed a school's registration (typically a coach, bookkeeper or other school official) can get a school's invoice by clicking on Orders under the Account menu at the top right of our website (marked in green).
If, after looking in that Orders section, you are unable to locate your invoice, please send an email to [email protected] with the subject line "Request Competition Series Invoice," and in your email include your school name, city, state and ZIP code.
If I already have submitted my registration, can I add additional students at a later date?
Yes, if you initially registered fewer than 12 students, you can add more students to your school's registration (up to a total of 12 registered students). Coaches can access this form through the Coach Dashboard or here.
How can I get a refund for my Competition Series registration?
MATHCOUNTS cannot guarantee your refund request will be approved. In some circumstances, MATHCOUNTS will provide a partial or full refund to schools that have registered for the Competition Series. However for any full refunds, a $30 fee will be charged to cover the cost of the School Competition Kit materials and shipping, as well as processing the refund. If you would like to request a full or partial refund for the Competition Series, email [email protected] with the subject line "Request Refund" and in your email include the school name, city, state and ZIP code; the reason for the refund request and the refund type (full or partial).
Refunds requests will not be granted for non-school competitor (NSC) registrations for 2021-2022.
Registered Coach Questions
Where can I find the MATHCOUNTS School Handbook with solutions and the School Competition online?
Log in to the Coach Dashboard and click on the “Competition Coach Resources” link. The handbook will be posted in mid-August when registration opens, and the 2022 School Competition will be posted November 1, 2021. 200 step-by-step solutions are available in the handbook and an additional 50 solutions (#201-250) are provided to coaches through the Coach Dashboard.
When can I expect to receive my mailed School Competition Kit?
School Competition Kits are mailed on a rolling basis from late-August 2021 through January 31, 2022. Generally kits are shipped via USPS Priority and arrive 1-2 weeks after we receive your registration. If you have not received your kit within 3 weeks of registering, please email [email protected].
How do I submit the names of my students who will be competing at the chapter level?
Participant information will be submitted through your school's listing on the Coach Dashboard. You must be logged in to do this.
My school is registered, and I am listed as a coach. Why can’t I access the Coach Dashboard?
If your school’s registration was completed online, the individual listed as the head-coach on that registration is automatically given access to the Coach Dashboard. The head coach can view their registered school's record and can add or edit students associated with the school on the Coach Dashboard. If a co-coach is listed on the school's registration record, s/he will have access to the Coach Dashboard and coach resources, but will not have the ability to see information related to the registered school(s) or student(s). If you submitted an offline registration form, the Coach Dashboard access was given to the listed head coach.
When can I expect to receive information about my local chapter competition?
Most local coordinators get in touch with the registered schools in their area in the fall. If you would like to get in touch with your local coordinator, please use the Chapter and State Competition Search tool to find the coordinator running your local competition. If you have not heard from your coordinator by early January, please email [email protected] and provide your school name, city, state and ZIP code.
Still Have Unanswered Questions?
MATHCOUNTS COMPETITION SERIES
A national program that provides students in grade 6-8 the opportunity to compete in live, in-person contests against and alongside their peers.
2021-2022 Registration Is Open!
Early Bird Rates until Nov. 12
$30 per competitor for schools
- Every registered school receives the School Competition Kit to run its program for the year.
- As many students as are interested can participate in practices and the School Competition. Registration fees are based on the number of competitors representing the school at the Chapter Competition.
- Schools with 40% of students on free or reduced lunch or receiving School Wide Title I funding receive a discount.
- Use the button below to register online or click here if you prefer a paper registration form.
$60 per non-school competitor (NSC)
- If your school will not register for the Competition Series and will not support their participation through the school, you can register as a non-school competitor (NSC).
- An NSC must be a student in grades 6-8, and students attending home schools or virtual schools are not NCSs.
- Learn more and register as an NSC here.
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.
Click the buttons to the left to learn a little more about what each round looks like.
Focuses on speed and accuracy. Students have 40 minutes to complete 30 math problems without a calculator.
Chapter-level example: By switching two of the digits of the number 123,456, Rodrigo obtains a new number that is 1980 more than the original. What is the product of the two digits Rodrigo switched? (answer: 15)
Focuses on problem-solving and mathematical reasoning. Students receive 4 pairs of problems and have 6 minutes to complete each pair, assuming the use of a calculator.
State-level example: One evening, Varun finishes reading a novel that he has been reading for several days and finds the ending so exciting that he immediately begins reading the novel’s sequel. Each novel has pages numbered consecutively, starting with page 1. Each novel has fewer than 1000 pages. If Varun reads a total of 42 pages in one sitting and the sum of the page numbers he reads in that sitting is 2018, what is the number of the last page of the first novel? (Answer: Page 265)
Focuses on problem-solving and collaboration. Students have 20 minutes to complete 10 math problems, assuming the use of a calculator. Only the 4 students on a school's team can take this round officially.
State-level example: Jackie sold two cars for $25,000 each. The first car sold for a profit of 22%, and the second sold at a loss of 7%. What was the total percent profit on the sale of the two cars? Express your answer to the nearest hundredth. (Answer: 5.54%)
Focuses on speed and accuracy. Students have a maximum of 45 seconds per problem without a calculator. This round is optional at the school, chapter and state level.
Chapter-level example: A prize of $900 is to be shared in the ratio of 2:1:1 among three awardees. How many dollars are in the smallest share? (Answer: $225)
Thank you to the National Competition Title Sponsor!
The lesson I got from MATHCOUNTS is one that I have cherished more than any math lecture I have ever received: The best part of doing math is doing it with others.
Brian, Competition Alumnus
Practices & School Competitions
Schools and non-school competitors (NSCs) register in the fall and coaches prepare their students using resources provided by MATHCOUNTS. Starting in November, coaches administer the School Competition either unofficially or officially to select chapter competitors.
August 2021 - January 2022
Local schools come together at 500 in-person chapter competitions across the country. Schools can send up to 12 competitors: 4 competitors who take both team and individual rounds, plus 8 students competing individually. NSCs compete as individuals.
Top students from each chapter (including NSCs, who can advance as individuals) advance to their state competition, taking place in all 50 US states, plus territories. No additional fees are required for competitors to advance to the state level.
The top 4 individuals from each state (including NSCs) receive an all-expenses-paid trip to the Raytheon Technologies MATHCOUNTS National Competition. These 224 competitors form 4-person state teams, plus compete individually for the title of National Champion.
May 7-10, 2022
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