- General Math
- Plane Geometry
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...
- General Math
- Plane Geometry
- Sequences, Series and Patterns
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...
- Plane Geometry
- Solid Geometry
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...
- Plane Geometry
- Solid Geometry
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...
- Plane Geometry
- Probability, Counting and Combinatorics
- Problem Solving (Misc.)
- Proportional Reasoning
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...
- Percents and Fractions
- Plane Geometry
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...
- Statistics and Data
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...
- Algebraic Expressions and Equations
- Percents and Fractions
- Proportional Reasoning
On September 5, 1882, the first Labor Day parade was held in New York City with 20,000 workers marching up Broadway. Within the next few years, the idea spread from coast to coast, and all states...
- Algebraic Expressions and Equations
- Number Theory
- Probability, Counting and Combinatorics
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...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
When Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nickels was twice the number of dimes. If there were 50 nickels, what was the...