The Year Game

  • Play the 2021 Edition Now!

    Check out the 2021

    For many years mathematicians, scientists, engineers and others interested in mathematics have played "year games" via e-mail and online. We don't always know whether it is possible to write expressions for all the numbers from 1 to 100 using only the digits in the current year, but it is fun to try to see how many you can find. This year may prove to be a challenge.

    As with many games, the rules for the Year Game can vary slightly. Teachers may wish to use different rules in their own classrooms. This game is geared for students in grades three through twelve with a general knowledge of mathematics.

    Our rules: use the digits in the year 2021 and the operations +, -, x, ÷, ^ (raised to a power), sqrt (square root), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. Please read and follow the rules carefully.

    Teachers may print out activity sheet for students to record their findings, or may print sheets of manipulatives for students to use. 

    2021 Year Game Crowdsourcing

    MyNCTM is a community of problem-solving educators and this year we are encouraging our members to collaborate and find as many solutions as possible. Jump on the ”Year Game” Crowdsourcing project thread to participate.