- 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...
- Percents and Fractions
- Probability, Counting and Combinatorics
- Proportional Reasoning
The date of the beginning of the school year has long been a topic of debate in many areas across the United States, but the trend is leaning towards starting school earlier rather than later...
- 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
- Proportional Reasoning
The Sprint Round of the MATHCOUNTS Chapter Competition has 30 questions and students are given 40 minutes to complete the round. Though it isn’t expected that most students will finish all 30...
- 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...
- Probability, Counting and Combinatorics
The Walton and the Brady families plan to vacation together in an 8-bedroom vacation home. John and Olivia will bring six children — boys, Jason, Ben and Jim-Bob, and girls, Mary Ellen, Erin and...
- Probability, Counting and Combinatorics
The letters of the words GHOST, GHOUL, TRICK, TREAT and CANDY were written on 25 index cards, one letter per card. If the cards are shuffled and one card is selected at random, what is the probability...