- Number Theory
- Problem Solving (Misc.)

When the letters of the alphabet are assigned their integer values (A = 1, B = 2, C = 3, …, Z = 26), the word-product for JULY is the product of the letter-values for each of the letters in JULY. When...

- Number Theory
- Problem Solving (Misc.)

When the letters of the alphabet are assigned their integer values (A = 1, B = 2, C = 3, …, Z = 26), the word-product for JULY is the product of the letter-values for each of the letters in JULY. When...

- Number Theory

Here are a few problems to keep your number sense sharp during the summer months. What is the greatest positive three-digit integer that is divisible by 5, 7 and 9? We know that any three-digit number...

- 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
- Problem Solving (Misc.)

Archer has three sons named Baker, Carver and Decker. Archer’s age is five times the sum of Carver’s and Decker’s ages. The sum of Baker’s and Decker’s ages is half Archer’s age. If Baker’s age is...

- Probability, Counting and Combinatorics
- Problem Solving (Misc.)
- Proportional Reasoning
- Sequences, Series and Patterns

Chantel is going to a new school this year and will be in the 8th grade. She has learned that there are 11 7th graders and 13 8th graders (including herself) in her homeroom. If the desks in her...

- General Math
- Percents and Fractions
- Problem Solving (Misc.)
- Proportional Reasoning

This table shows how long it takes each of 8 planets to rotate around its own axis and to revolve around the sun. Days and years refer to Earth days and Earth years, respectively. Curtis’s age is 15...

- Plane Geometry
- Problem Solving (Misc.)
- Proportional Reasoning

The MATHCOUNTS Club sponsor at your school is planning a pizza party for the club’s 10 Mathletes to kick off the year. The local pizza place has medium and large as the two size options for ordering...

- Problem Solving (Misc.)
- Sequences, Series and Patterns

In the video arcade game Asteroid Blaster, there are a total of five rounds on the first level. During each round, asteroids appear on the screen and players must blast as many as possible before time...

- Logic
- Problem Solving (Misc.)
- Proportional Reasoning

Our friends at Brilliant post fun, daily challenges on math, science and engineering topics every day. Try out a few of these challenges on their website by clicking the links below! If you do not yet...