## Maths Enrichment

### Date

April – October 2023

## Time

12–16 weeks

## Cost

AUD$50 per student

Maths Enrichment is an extension program for talented students to widen their mathematical knowledge and skills.

Teachers receive comprehensive printed support material to extend both student learning and their own mathematical teaching practice. Enrichment material develops mathematical concepts not covered by the standard curriculum. Printed materials can be retained by students as an enduring reference through their school years.

Teacher sets include:

- a Teacher Guide with full problem solutions and detailed marking schemes
- one Student Problems booklet per student with unique problems each year
- one Student Notes book per student with a structured course of extension material.

Maths Enrichment is designed to be run over 12–16 weeks, with around 1 hour of class time and around 2–3 hours of individual study time per week.

Like all our competitions and programs, Maths Enrichment contains unique problems designed each year by leading educators and academics to challenge and extend your students’ problem-solving skills.

### Key Dates

**Entries close**

Fr 25 August 2023**Submission of Enrichment Results Spreadsheet closes:**

Fr 20 October 2023**Late submission of Enrichment Results Spreadsheet closes:**

Fr 10 November 2023

*Result spreadsheets received after the submission deadline will be processed after the late submission deadline

* Result spreadsheets received after the late submission deadline will be processed at the end of the school year

*Results and adjustments received after 1 December 2023 will not be processed.

### Sign Up

Find out how to register your students for this competition.

### Divisions

Stages are not limited to school years, however general recommendations are as follows:

**Ramanujan**– Australian Years 4 and 5**Newton**– Australian Years 5 and 6**Dirichlet**– Australian Years 6 and 7**Euler**– Australian Years 7 and 8**Gauss**– Australian Years 8 and 9**Noether**– Capable or very capable Australian Years 9 and 10**Pólya**– Top 10% Australian Year 10

## Question and Answer Format

- Ramanujan, Newton, Dirichlet – 8 problems, written answers
- Euler, Gauss – 12 problems, written answers
- Noether, Pólya – 16 problems, written answers

## Delivery Option

- Printed problems provided, marking is done by teacher and marks submitted online
The experience of teachers using this program has been that students’ understanding of the problems is enhanced when teachers mark the student submissions and use the materials provided to give feedback.

### TOPICS

**Ramanujan:**

Includes fast arithmetic, special numbers (squares, triangular numbers, primes), counting techniques, polyominoes and specific problem-solving techniques.

*New edition in 2020.

**Newton:**

Includes estimation, polyhedra, divisibility, sequences, patterns (including Fibonacci numbers), colouring graphc, arithmetics in different bases and specific problem-solving techniques.

*New edition in 2021.

**Dirichlet:**

Includes logic problems, sequences, tessellations, counting techniques, primes and composites, clock arithmetic and specific problem-solving techniques.

*New edition in 2022.

**Euler:**

Includes primes and composites, least common multiples, highest common factors, arithmetic sequences, figurate numbers, congruences, counting techniques, properties of angles and the pigeonhole principle.

*Preview chapter for new edition to be provided in 2023.

**Gauss:**

Includes parallels, similarity, Pythagoras’ theorem, using spreadsheets, Diophantine equations, counting techniques and congruences.

**Noether:**

Includes expansion and factorisation, inequalities, sequences and series, number bases, methods of proof, congruences, circles and tangents.

**Pólya:**

Includes functions, symmetric polynomials, geometry, inequalities, functional equations, number theory, counting and graph theory.

## More Information

**Ramanujan, Newton, Dirichlet** – 8 problems of 4 marks each. Total 24 marks.

**Euler, Gauss** – 12 problems of 4 marks each. Total 48 marks.

**Noether, Pólya** – 16 problems of 4 marks each. Total 64 marks.

All students receive an award according to the criteria below.

**Ramanujan, Newton, Dirichlet, Euler and Gauss**

**High Distinction**top 10%**Distinction**the next 15%**Credit**the next 25%- All other students receive a Participation certificate.

**Noether and Pólya**

**High Distinction**top 15%**Distinction**the next 15%**Credit**the next 30%- All other students receive a Participation certificate.

Try our sample program excerpts for a taste of some typical Maths Enrichment Problems.

Each sample includes content drawn from Student Notes provided with the Enrichment package.

Ramanujan Student Notes sample