- Algebraic Expressions and Equations
- Plane Geometry
- Problem Solving (Misc.)
May is National Bike Month, so here are a few problems related to bicycles. Brenden is riding an old-time bicycle that has a back wheel with a diameter of 1 foot and a front wheel with a radius of 1.5...
- 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
- 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...
- Plane Geometry
- Problem Solving (Misc.)
- Sequences, Series and Patterns
Now that 2024 is finally here, let’s see what we can do with this new number! If the perimeter of a particular square is 2024 inches, what is the area of the square, in square inches? Express your...
- 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...
- 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...
- Sequences, Series and Patterns
In the spring of 2020, Dahlia created a flower bed and planted one daffodil. The following spring, three daffodils bloomed. In fact, each spring, from 2020 to 2023, the number of daffodils that...