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On this page you can find information and resources to support you with competiting in a variety of Maths competitions across the year. Check out the information below and learn a little bit more about each one. If you have any questions, feel free to talk to Mr Davis (dvs@northcote.school.nz).
Special Note for Year 11s: The Prize in Year 11 Mathematics - the Tony Smith Cup - is awarded to the top performing student in class assessments AND competitions. Talk to your Maths teacher or Mr Bradly if you have any questions about this.
Who: Year 9 to 11 students
When: 7th May 2025, Term 2 Week 2
Registration deadline: 2nd May 2025, Term 2 Week 1
Cost: $5.00
This year the competition will be held in one paper based test, help on the 7th May 2025.
This mathematics competition is for students in years 9 to 11 (forms 3 to 5), although younger students may also take part. Every student throughout New Zealand sits the competition on exactly the same days, usually two Wednesdays in April in May (one for each part).
The competition lasts for 50 minutes. The emphasis is on problem solving, so expect surprises!
Mathematical skills are important, but so is careful reading. Students who read the questions carefully and work out exactly what is being asked generally do better than those who jump in and write down the first thing that springs to mind.
Want some practice?
Who: Year 9 to 13 students
When: 20th May 2025, Term 2 Week 4
Registration deadline: 9th May 2025, Term 2 Week 2
Cost: $10.00
The Computational and Algorithmic Thinking (CAT) competition gives students the opportunity to develop their problem-solving skills through algorithmic thinking. The competition incorporates unique ‘three-stage tasks’ that encourage students to develop informal algorithms and apply them to test data of increasing size or complexity.
CAT is suitable for any maths class and requires no programming experience. It can be used to develop students’ interest and potential in computer programming.
Like all our competitions, the CAT contains unique problems designed each year by leading educators, academics and industry experts to challenge and extend your students’ problem-solving skills.
Practice Questions
Check out these practice AMC questions. Because it's Australian the year levels are slight different to New Zealand. Use this guide to find the right leveled questions:
Year 9 - Junior
Year 10 and 11 - Intermediate
Year 12 and 13 - Senior
2020 CAT paper ALL S.pdf
Who: Year 9 to 13 students
When: 5th August 2025, Term 3 Week 4
Registration deadline: 25th July 2025
Cost: $10.00
First run in 1978, the Australian Mathematics Competition is Australia’s longest running, largest and most well-known maths competition for school students.
Like all our competitions, the AMC contains unique problems designed each year by leading educators and academics to challenge and extend your students’ problem-solving skills.
Practice Questions
Check out these practice AMC questions. Because it's Australian the year levels are slight different to New Zealand. Use this guide to find the right leveled questions:
Year 9 - Junior
Year 10 and 11 - Intermediate
Year 12 and 13 - Senior
2023 AMC Questions and Solutions.pdf2016 AMC Questions and Solutions.pdf
Who: 8 x Year 9 Students and 8 x Year 10 students
When: Term 3 (date to be confirmed)
Registration deadline: End of July.
Cost: FREE!
If you're interested in participating, click to apply below. Mr Davis will be in touch with more information in Term 3, and teams will be finalised closer to the time.
Mathex is a challenging and fast-paced Mathematics contest where schools from across Auckland compete against each other in teams to answer questions as quickly as possible.
There are two teams of four Year 9s and two teams of four Year 10s that compete on the night - which means only 8 spaces available per year level! Sign-ups and trials will start in Term 2.
Using your diverse Maths knowledge, you will answer 20 questions across the night all within 30 minutes. The fastest team across Auckland with the prizes!
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