- 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...
- 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...
- 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
- Proportional Reasoning
- Solid Geometry
Melrose’s hot air balloon is a sphere of diameter 100 feet. How many cubic feet of air will Melrose’s hot air balloon hold when completely filled? Express your answer as a decimal to the nearest tenth...
- Percents and Fractions
- Solid Geometry
For the following problems, assume that the snowballs are perfect spheres. Chiquita and Rhonda are each building a snowman. Rhonda tells Chiquita that she is making each of her 3 balls of snow 20%...