- 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...
- 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...
- Probability, Counting and Combinatorics
- Proportional Reasoning
- Solid Geometry
Last Thursday, March 17 was St. Patrick’s Day when, typically, more people than usual wear some article of green clothing. Patrick has a leprechaun hat that looks like a tall, green top hat. The main...
- Percents and Fractions
- Proportional Reasoning
- Solid Geometry
- Statistics and Data
Mother's Day is a holiday honoring mothers and is celebrated on the second Sunday in May in the United States. In 1914, President Woodrow Wilson declared the first national Mother's Day. Mother's Day...
- Proportional Reasoning
- Solid Geometry
Speedy Delivery charges $20.00 to send a 1-pound package via two-day service and an additional $2.00 for every 4 ounces of package weight over 1 pound. How much will it cost to ship a package that...
- Number Theory
- Probability, Counting and Combinatorics
- Problem Solving (Misc.)
- Solid Geometry
The weekend has just begun, and Derek wants to build a snowman either on Saturday or Sunday, but he can only build a snowman if it snows. There is a 1/2 probability that it snows on Saturday, and a 1...
- 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...
- 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...