- Algebraic Expressions and Equations
- Plane Geometry
- Problem Solving (Misc.)
May is National Bike Month, so here are a few problems related to bicycles. Brenden is riding an old-time bicycle that has a back wheel with a diameter of 1 foot and a front wheel with a radius of 1.5...
- Algebraic Expressions and Equations
- Percents and Fractions
This summer, Owen and Jack will both have part time jobs. Owen will be working as a lifeguard and Jack will be working as a server at a local restaurant. Owen plans to work 15 hours each week and will...
- General Math
- Percents and Fractions
- Proportional Reasoning
- Solid Geometry
A town in South Dakota decides to have an “End of the Summer” pool party and invites all of the households in the town that have school aged children. Twenty-seven households are invited to the party...
- General Math
- Percents and Fractions
- Plane Geometry
- Problem Solving (Misc.)
- Proportional Reasoning
In preparation for Thanksgiving dinner, Mrs. Cobble decided to get a new tablecloth for the dining room table. Her rectangular table measures 3.5 feet by 6 feet, and she would like the tablecloth to...
- Probability, Counting and Combinatorics
- Proportional Reasoning
- Sequences, Series and Patterns
According to “A History of Valentine’s Day Cards in America” by T.M. Wilson, in 1847 Esther Howland was the first to mass-produce Valentine’s Day cards. She made them out of lace, paint and expensive...
- Percents and Fractions
- Probability, Counting and Combinatorics
- Solid Geometry
The following information and problems were submitted by a MATHCOUNTS volunteer, Emily Koithan. Thank you, Emily! Neuroscientists use a special type of brain scanning called functional magnetic...
- Problem Solving (Misc.)
- Proportional Reasoning
- Solid Geometry
A 6-inch tall flower casts a 4-inch shadow at 5:00pm. One month later, when the sun was at the same position in the sky as it was at 5:00pm one month earlier, the shadow cast was 5 1/3 inches long...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
- Sequences, Series and Patterns
Final exams often accompany the final days of school. Sherry has had four tests so far in her science class, each worth 1/6 of her final grade. She scored 87%, 89%, 92% and 91% on these tests. Her...
- Plane Geometry
- Problem Solving (Misc.)
- Sequences, Series and Patterns
Now that 2024 is finally here, let’s see what we can do with this new number! If the perimeter of a particular square is 2024 inches, what is the area of the square, in square inches? Express your...