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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...

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...

Peitlyn decided that she would like to read more in 2022, so she made a resolution to read 30 minutes each day. If Peitlyn reads an average of 1 page every 2 minutes and she finishes her 6th book at...

Kaleb has a bag containing red, black and white LEGO® bricks. If he has 12 more red bricks than white bricks and 15 fewer white bricks than black bricks, what is the positive difference between the...

The Zappone family has a table that can seat eight people comfortably, which is perfect, since there will be eight people sitting down to Thanksgiving dinner. The rectangular table can seat three...