- 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
- 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...
- Algebraic Expressions and Equations
- Percents and Fractions
- Proportional Reasoning
Biotechnology is a field of engineering that uses living systems to produce a wide range of technologies and products used in medicine, energy, fuels and sensors. You can see biotechnology in action...
- 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
- General Math
- Probability, Counting and Combinatorics
- Solid Geometry
In honor of Engineers Week, we’re posting a throwback to a sampling of previous years’ Future Engineers Problems of the Day. Join us next week for all new engineering-themed Problems of the Day for...
- Algebraic Expressions and Equations
- Probability, Counting and Combinatorics
- 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...
- Probability, Counting and Combinatorics
On the game show Wheel of Fortune®, contestants spin a wheel, like the one shown here, to determine how much money will be won for solving the puzzle. What is the probability that a contestant spins...