- General Math
- Sequences, Series and Patterns
- General Math
- Proportional Reasoning
In the summer months, a common problem people suffer from is dehydration – not enough water in their body. Waiting until you feel thirsty is not a good indicator that it’s time to drink water. In fact...
- Algebraic Expressions and Equations
- General Math
- Percents and Fractions
- Problem Solving (Misc.)
When Riya’s alarm went off on the first day of her senior year in high school, she hit the snooze button and slept for another 10 minutes. When the alarm sounded the next time, Riya got up and...
- 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%...
- 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
- Plane Geometry
Mathletes will become familiar with properties of 45-45-90 and 30-60-90 triangles. In this plan, the relationships between the sides of these two special right triangles will be derived. Then...
- Plane Geometry
Video by Art of Problem Solving's Richard Rusczyk.