- 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...
- Algebraic Expressions and Equations
- Percents and Fractions
- Problem Solving (Misc.)
Ms. Cross leads The National Math Club at the middle school where she teaches. At the first club meeting of the school year, 60% of the students in attendance were 7th graders. If there was one fewer...
- Algebraic Expressions and Equations
- Probability, Counting and Combinatorics
- Problem Solving (Misc.)
- Sequences, Series and Patterns
Abby, Brenda, Celia, Denise and Elizabeth are going to their town’s annual hayride. Tickets cost $8.00 for people 12 years old and older but only $5.00 for people 11 years old and younger. The total...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
- Sequences, Series and Patterns
Cara was born on January 1, 2010, and her mother, Sydney, was born on January 1, 1982. In what year will Sydney’s age be twice Cara’s age? If we let Cara’s age be C, then Sydney’s age is S = C + 28...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each...
- 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...