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...
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...
A town in South Dakota decides to have an “End of the Summer” pool party and invites all of the households in the town that have school aged children. Twenty-seven households are invited to the party...
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...
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%...
Hydraulic engineering is a subfield of civil engineering that centers around the transport and management of water resources. Hydraulic engineers design things like channels, canals, dams and levees...
The following information and problems were submitted by a MATHCOUNTS volunteer, Emily Koithan. Thank you, Emily! Neuroscientists use a special type of brain scanning called functional magnetic...