New Zealand Maths Olympiad Committee online » Problems

2011 Camp Selection Problems – due 10th August 2011

Chris — Mon, 27 Jun 2011 23:11:28 +0000

Our first step in choosing the team to represent New Zealand at the 2012 IMO in Argentina is to choose 24 students to attend a week long training camp in Auckland in January. These students will be chosen using the 2011 Camp Selection Problems (pdf, 111k). Students submitting solutions to the Camp Selection Problems must intend to be in school in 2012; must have been born on or after 20 July 1992; and must be NZ citizens or hold NZ Resident status.

Those selected for the camp will do 1-2 assignments prior to the camp, and we hope to have them sit Round 1 of the British Mathematical Olympiad in December. At the camp in January we will choose a squad of 10-12 students for further training, and to take part in several international competitions, including the Australian and Asia-Pacific Mathematical Olympiads. The final team of six will be chosen based on the results of these competitions, and perhaps some additional selection tests, if needed.

We look forward to receiving your solutions!

- Chris Tuffley
Leader, 2011 NZIMO team

PS: The 2011 team will be departing soon for the 2011 IMO, in Amsterdam. Watch this space for news!

2011 June Problems

Ilya — Fri, 03 Jun 2011 20:08:35 +0000

Here are the new 2011 June Problems along with the Solutions for 2011 May Problems. Enjoy and best of luck!

2011 Squad Assignment Four: Algebra

Chris — Thu, 02 Jun 2011 21:50:34 +0000

Here is the fourth and last squad assignment, on algebra, and the solutions to the number theory assignment.

2011 May Problems

Chris — Tue, 03 May 2011 22:39:17 +0000

Here are the May problems and the solutions to the April problems. Have fun, and May the Fourth be with you!

2011 Squad Assignment Three: Number Theory

Ilya — Wed, 27 Apr 2011 22:21:17 +0000

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

Ilya — Wed, 27 Apr 2011 21:40:33 +0000

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

Ilya — Mon, 28 Mar 2011 09:23:39 +0000

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

Chris — Tue, 22 Mar 2011 22:01:12 +0000

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

- Chris

2011 Squad Assignment One: Combinatorics

Chris — Tue, 22 Feb 2011 10:33:30 +0000

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 a 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

Chris — Tue, 05 Oct 2010 02:22:28 +0000

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