- 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
- 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...

- Algebraic Expressions and Equations
- General Math
- Problem Solving (Misc.)

Derrick received a total of 21 gift cards for graduation. He received gift cards in each of four denominations, $25, $50, $75 and $100. The number of $100 gift cards Derrick got was twice the number...

- 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...

- Algebraic Expressions and Equations
- Problem Solving (Misc.)

After polling each student in her homeroom about their summer plans, Mrs. Baker discovered that each student planned to participate in one or more of the following activities: Attend summer school...

- 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
- 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
- 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
- Proportional Reasoning

In 62 days at sea, Ferdinand’s boat traveled 5580 miles. What was the average speed of Ferdinand’s boat, in miles per hour? Express your answer as a decimal to the nearest hundredth. We are told that...