MathCounts Competition Concepts and Questions

The 2022 Raytheon Technologies MathCounts National Competition celebrates the achievements of young mathematicians. The event includes speeches from sponsors and educators, recognition of top teams, and a thrilling countdown round. The competition highlights the importance of problem-solving skills and the role of engineers in society. The event concludes with the announcement of the national champion and the presentation of awards.

Who is the Chair of the MathCounts Board of Directors?

• Emily Glendenning

• Tracy Gray

• Louis Lopez

• Rick Guerra

In what year was the first MathCounts competition held?

• 1983

• 1986

• 1984

• 1985

Which organization is the title sponsor of the 2022 MathCounts National Competition?

• Texas Instruments

• Northrop Grumman Foundation

• 3M

• Raytheon Technologies

What is the prize for the first place team in the team competition?

• $2,500 college scholarship

• $1,000 college scholarship

• $2,000 college scholarship

• $3,000 college scholarship

What is the role of Julie Montoya in the countdown round?

• Coach

• Judge

• Competitor

• Moderator

What is the correct answer to the question about the diameter of a cylinder?

• 400

• 500

• 200

• 300

In the quarterfinals, what is the value of $\frac{1}{2} \diamond \left(\frac{2}{3}\right)$ if $x \diamond y = \frac{x - y}{1 + x^2 + y^2}$?

• 4/7

• 3/4

• 2/5

• 1/3

In the semifinals, what is the correct answer to the question about the greatest distance between any two points on a cube?

• 324 times the square root of 5

• 256 times the square root of 7

• 512 times the square root of 2

• 648 times the square root of 3

What is the surface area of a cube if the coordinates of three vertices are given?

• 84

• 72

• 108

• 96

What is the correct answer to the final question about forming three separate teams from a group of nine students?

• 1560

• 1360

• 1460

• 1260