New Zealand Maths Olympiad Committee online » Medium

2012 Squad Assignment Two – Algebra

Chris — Fri, 13 Apr 2012 04:51:26 +0000

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

2012 Squad Assignment One – Combinatorics

Chris — Fri, 02 Mar 2012 03:30:56 +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 about a month, together with the second assignment, on algebra. 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.

Have fun!

–Chris

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 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 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 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

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

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

2010 Camp Selection Problems – due 27th August 2010

Chris — Sun, 01 Aug 2010 09:15:11 +0000

With one IMO concluded – and so successfully for New Zealand! – it’s time to start thinking about the next.

Our first step in choosing the team to represent New Zealand at the 2011 IMO in Amsterdam is to choose 24 students to attend a week long training camp in Christchurch in January. These students will be chosen using the 2010 Camp Selection Problems (pdf, 105kb). Students submitting solutions to the Camp Selection Problems must intend to be in school in 2011; must have been born on or after 20 July 1991; and must be NZ citizens or hold NZ Resident status.

Those selected for the camp will do 1-2 assignments as preparation for sitting 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 sit the Australian and Asia-Pacific Mathematical Olympiads and Round 2 of the BMO. The final team of six will be chosen based on the results of these competions, and perhaps some additional selection tests, if needed.

We look forward to receiving your solutions!

- Chris Tuffley
Leader, 2010 NZIMO team

Important update, 11th August: At last January’s camp we decided that only year 12 students and members of the squad would be required to do just the senior problems; students in year 11 or below, who have been to a January camp but not been in the squad, can do both the junior and senior problems. The instructions for the problems have been updated to reflect this.

Files (all pdf):

the problems only
the instructions and registration form only
Both in one.