- Algebraic Expressions and Equations
- General Math
Define x @ y as (x3 − y)/x, for distinct positive integers x and y. What is the value of 5 @ 10? Evaluating 5 @ 10 yields (53 − 10)/5 = (125 − 10)/5 = 115/5 = 23. Define a # b as a2 − b2 − ab, for...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
Camsie is starting a new job where she earns n dollars on her nth day of work. What is the total amount that Camsie will earn for the first ten days of work at her new job? On each of the first 10...
- General Math
- Percents and Fractions
- Problem Solving (Misc.)
The July 4 holiday is one that many people plan their summer vacations around. Peggy works a Monday through Friday job that has the following July 4 holiday policy. If July 4 falls on a weekend...
- General Math
- Problem Solving (Misc.)
Phoenix earns hotel rewards points whenever she stays at a participating hotel. She can then use these points to pay for future hotel stays. For instance, a stay that costs $500 could be paid for...
- 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
- General Math
- Plane Geometry
The Washington Monument in Washington, D.C. is an obelisk. An obelisk is a tall monument with four gently sloping sides and a pyramid shape on top. The obelisk structure first appeared in Ancient...
- Algebraic Expressions and Equations
- Problem Solving (Misc.)
- Proportional Reasoning
Nancy and Tim have an apple cider stand at their school every morning during the fall to raise money for their club. Since September 23 is the Autumnal Equinox, the first day of fall and their first...
- Algebraic Expressions and Equations
- Plane Geometry
- Problem Solving (Misc.)
Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (corn) Maze. When Bethany gets to the entrance of the Maze she is facing...
- 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...