Archive for the ‘Problems’ Category

2011 Squad Assignment Three: Number Theory

Thursday, April 28, 2011 11:21
Posted in category Easy, Medium, Problems, Tough

Here is the number theory assignment used as part of the squad training. Here are also the solutions to the geometry assignment.

2011 Squad Training Test

Thursday, April 28, 2011 10:40
Posted in category Medium, Tough

Here is one of several training tests. These problems are intended to be quite hard, but several should be accessible to experienced students; all these problems are at a level expected at the IMO. Notice however that the problems are not in order of difficulty!

 

Solutions will follow a little later.

2011 April Problems

Monday, March 28, 2011 22:23
Posted in category Easy, Problems

Here is the first lot of monthly problems – the April Problems.

These problems are intended to help students prepare for the 2011 camp selection problems, used to choose students to attend our week-long residential training camp in January.

The solutions will be posted in about one month’s time, but can be obtained before then by email if you write to one of us with evidence that you’ve tried the problems seriously.

Good luck!

2011 Squad Assignment Two: Geometry

Wednesday, March 23, 2011 11:01
Posted in category Medium, Problems, Tough

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

- Chris

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 Camp Selection problem solutions

Tuesday, October 5, 2010 15:22
Posted in category Easy, Medium, News, Problems

A big thank you to all those who submitted solutions to this year’s camp selection problems. We received over 100 submissions; they have now been marked, and we hope to begin sending out invitations to the January camp soon.

In the meantime, here are the solutions. Enjoy!

- Chris