Mathematics Challenge for Young Australians: Enrichment Stage

This page is designed to give students an alternative problem set to this year's formal Enrichment Problems, together with solutions. This may help students see what is expected in solutions. Students are encouraged to try solving without seeing the solutions, but in any case the solutions are provided to enable students to see what is expected.

This page contains a recent problem set for each of Newton, Dirichlet, Euler, Gauss, Noether and Polya.

Errata

In Newton Student Notes the solution to Problem 19, Chapter 5 is 18 faces, 16 vertices and 32 edges. Euler's Rule is satisfied as 18+16-32=2.

In chapter 8 (Solutions, question 1), 7308 is actually divisible by 3 and 9 whereas the recent reprint gives it as No for both.

In Dirichlet Student Notes, two dot points at bottom of page 42. The number of squares should be s=1+2(n-1)=2n-1. And the number of match sticks should be m=4+3.2(n-1)=6n-2.

Further there are three incorrect solutions in Chapter 3. For Problem 7 the correct answer is 513, for Problem 9 the correct answer is 1432 and for Problem 11 the correct answer is 94.

• Sample Newton Problem Set
• Sample Newton Problem Set Solutions
• Sample Dirichlet Problem Set
• Sample Dirichlet Problem Set Solutions
• Sample Euler Problem Set
• Sample Euler Problem Set Solutions
• Sample Gauss Problem Set
• Sample Gauss Problem Set Solutions
• Sample Noether Problem Set
• Sample Noether Problem Set Solutions
• Sample Polya Problem Set
• Sample Polya Problem Set Solutions