- 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...
- 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...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
- Proportional Reasoning
Geomatics engineering is all about geographic information. Geomatics engineers collect this data (such as dimensions of plots of land, details of natural land formations, elevation, angles and...
- 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...
- Plane Geometry
- Probability, Counting and Combinatorics
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...
- Algebraic Expressions and Equations
- Probability, Counting and Combinatorics
- Problem Solving (Misc.)
While there were many problems written and solved for MATHCOUNTS in 2021, below is a selection of some of the best of the year! 2020-2021 School Handbook, #113 A fair coin is flipped 5 times. What is...