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.

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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.