The 2020 Summer Olympics may have been postponed but the Grade 6 Math Olympiad Challenge has begun. Lee Couch, Mathematics Faculty, proposes one challenge per week, which is an optional assignment for students who desire more math equations, problem-solving, and challenge.
This program is designed for Grades 6-8, although Ms. Couch is doing it for Grade 6 only, so it is challenging. Ms. Couch and participating students meet virtually during lunch each Friday. (or on Mondays). "The students can take on a challenge any time on their own and then we meet and discuss and share our solutions. Often there is more than one way to solve a problem so it is fun to hear students' various solutions. The problems go beyond the normal math content; solutions pull from past skills as well as everyday knowledge, logic, and problem-solving. They are usually very clever problems. We have only met once, to date, but we had a great session where all voices and ideas were shared, many problems mastered before our meeting time, and new ways of thinking were discovered as a result of coming together on Zoom."
Here are a few problems for you to solve. Are you smarter than a 6th grader? Feel free to email Ms. Couch with your answers.
1. A horizontal line contains points A, B, C, and D in some order.
- BD is the greatest distance between any two of the points.
- A is the midpoint of CD.
- Points B and C lie to the right of point A.
List the four points in order from left to right.
2. The number 1008 is divisible by each of 3, 4, 6, and 8. What is the greatest number that is both less than 1100 and is also divisible by each of 3, 4, 6, and 8?
3. Simplify fully: 100 + 99 – 98 – 97 + 96 + 95 – 94 – 93 + … + 4 + 3 – 2 – 1, if the pattern of the sum of two consecutive integers followed by two subtractions of consecutive integers is continued throughout.
Good luck! Learn more about King's Middle School program here.