Archive for the ‘Tough’ Category

2011 Squad Assignment One: Combinatorics

Tuesday, February 22, 2011 23:33
Posted in category Medium, Problems, Tough

This year’s team selection will again be based on three competitions (the BMO2, the AMO, and the APMO) and four assignments: one on each of the four Olympiad areas of algebra, combinatorics, geometry and number theory.

Here is the squad’s first assignment, on combinatorics. I’ll post the solutions in about a month, together with the second assignment, on geometry. Following our usual practice, you can get the solutions before then if you write to me with evidence that you’ve made a serious attempt.

Enjoy!

Chris

2010 Squad Assignment four: geometry

Saturday, June 26, 2010 16:32
Posted in category Medium, Problems, Tough

Here is the squad’s final assignment, on geometry, and the solutions to the combinatorics assignment. Have fun!

- Chris

2010 Squad Assignment three: combinatorics

Tuesday, May 25, 2010 12:58
Posted in category Medium, Problems, Tough

Here is the squad’s third assignment, on combinatorics, and the solutions to the algebra assignment. The fourth assignment, on geometry, will follow in about a month. Have fun!

- Chris

2010 Squad Assignment two: Algebra

Friday, April 2, 2010 20:43
Posted in category Medium, Problems, Tough

Here is the squad’s second assignment, on algbra, and the solutions to the number theory assignment. The third assignment, on combinatorics, will follow in about a month’s time.

Enjoy!

- Chris

2010 Squad Assignment One: Number Theory

Friday, February 26, 2010 15:47
Posted in category Medium, Problems, Tough

This year’s team selection will be based on three competitions (the BMO2, the AMO, and the APMO) and four assignments: one on each of the four Olympiad areas of algebra, combinatorics, geometry and number theory.

Here is the squad’s first assignment, on number theory. The problems are taken from a variety of sources; these will be acknowledged in the solutions, which I’ll post in a month’s time, together with the second assignment. Following our usual practice, you can get the solutions before then if you write to me with evidence that you’ve made a serious attempt.

Enjoy!

- Chris