- Algebraic Expressions and Equations
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...
- Algebraic Expressions and Equations
- General Math
- Percents and Fractions
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...
- Probability, Counting and Combinatorics
- Problem Solving (Misc.)
- Proportional Reasoning
- Sequences, Series and Patterns
Chantel is going to a new school this year and will be in the 8th grade. She has learned that there are 11 7th graders and 13 8th graders (including herself) in her homeroom. If the desks in her...
- 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...
- Plane Geometry
- Problem Solving (Misc.)
- Proportional Reasoning
The MATHCOUNTS Club sponsor at your school is planning a pizza party for the club’s 10 Mathletes to kick off the year. The local pizza place has medium and large as the two size options for ordering...
- Percents and Fractions
- Plane Geometry
- Probability, Counting and Combinatorics
- Solid Geometry
Ariel, Ollie and Eden are going trick-or-treating for Halloween, but first their parents are taking them to a costume store to pick out costumes. The store has 9 different costume options available –...
- 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
- Proportional Reasoning
- Solid Geometry
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...