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A favorite ride in amusement parks has been the merry-go-round, also called a carousel. During the early Twentieth Century, the golden age of the carousel, there were about 6000 machines with finely...

Tony’s Pizzeria sells three sizes of pizzas: small, medium and large. The standard crust size is 1 inch wide, no matter what size pizza you get. At Tony’s, a small pizza is 10 inches, has four slices...

Gretchen is going to make a witch’s hat for Halloween. Her pattern consists of a right circular cone without a base attached to a circle with a hole cut out of the middle, as shown below. The hole is...

January 15th is Hat Day, so put on your wackiest hat and solve this week’s problems! Ariana loves hats. Her favorite top hat is an 18-inch-tall right circular cylinder with a brim that goes all the...

With the 2022 Chapter Competition coming up next week, here are some problems from the 2021 Chapter and Chapter Invitational Competitions for extra practice! (Note: The structure of the 2021...

Today is Pi Day! Below are a few questions to celebrate. If June ate 1/4 of 2/3 of 1/2 of a pie, what fraction of the whole pie did she eat? Express your answer as a common fraction. To determine what...

Now that the 2022 School Competition has been released, here are some problems from the 2021 equivalent to the School Competition for extra practice! Sprint Round, #18 Jan and Jerome are mixing red...

Did you know that May 20th is the official birthday of “blue jeans”? It was on May 20, 1873 that Levi Strauss and David Jacobs received patent number 139,121 from the US Patent and Trademark Office...

Temi’s analog clock, shown here, has an hour hand of length 9 in and a minute hand of length 15 in. When Temi’s clock strikes 3 o’clock, what is the length of the segment drawn from the end of the...

In June, MATHCOUNTS joined the Data Science 4 Every­one Commitment Campaign to build capacity for K-12 data science ed­ucation. As part of this commitment, MATHCOUNTS will create and share additional...