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Define the relation M @ N as M @ N = M2 + 2M/N. What is the value of 9 @ 4? Express your answer as a common fraction. Substituting 9 for M and 4 for N in the given relation, we get 9 @ 4 = 92 + 2 × 9...

Darcy has two part-time jobs during her summer vacation. She works part-time as a counselor at a local day camp, and she has another part-time job as a lifeguard at the community swimming pool. Darcy...

The lunchroom workers at Guffey Middle School can move a total of 600 students through 5 lunch lines in exactly one hour. How many students move through each lunch line per minute? With 600 students...

Per the American Pie Council, January 23 is National Pie Day! This is not to be confused with Pi Day, which celebrates mathematical symbol π. National Pie Day is a celebration of a beloved tasty treat...

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...

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...