2022 Annual Report CONTENTS From the Chair����������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � � � 1 From the CEO������������������������ � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 3 About Us � ����������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 4 Mission and Vision � ��������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 6 Values������������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 7 Our Partners and Supporters����� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 8 2022 Key Achievements������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 10 Problem Page��������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 11 Competitions and Programs����� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 13 Curious Minds���������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 16 Problemo�������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 18 Olympiads����������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 19 Profiles � �������������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 22 Volunteer � �������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 24 Students��������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 26 Governance�������������������������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 30 Organisational Structure���������� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 31 Financial Overview������������������ � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � � � � 32 Statement of Profit or Loss and Other Comprehensive Income � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 33 Statement of Financial Position�� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 34 | 1 FROM THE CHAIR It gives me great pleasure to provide my first report as Chair of AMTT Ltd. I joined the Australian Maths Trust in July 2022 and since then have been greatly inspired by our people, our work and the many opportunities for delivering on our core mission and aspiration. I would like to thank Dennis Trewin AO, my predecessor, for his strong leadership of the Board and organisation, his tireless efforts, and his passion for the work of the AMT. As Chair, Dennis was instrumental in improving governance at the Trust, leading the creation and refinement of our current corporate strategy, securing our bid to host the International Mathematical Olympiad (IMO) in 2025 and steering the AMT through the COVID-19 pandemic. The organisation is financially stable, is improving its operational and delivery capacity, and is embracing a very exciting future. In the first few months, I spent time getting to know the organisation – attending a range of governance meetings and familiarising myself with the staff and operations of the company. I also spent time meeting with important sector partners like the Australian Mathematical Sciences Institute, the Australian Association of Mathematics Teachers and the Australian Academy of Technological Sciences and Engineering. Through these experiences, as well as through one-on-one discussions with my committed and passionate colleagues on the Board, we have identified several key challenges facing the Trust: • The importance of maintaining and building our engagement with schools and teachers, particularly given the extreme disruption the education environment has experienced over the past three years. • How we can effectively build on our external engagement with our sector partners, governments and mathematically invested industries. • Leveraging the IMO in 2025 to build the awareness and engagement in mathematics across the country. • Working with sector partners to promote, with key stakeholders, the importance of mathematics and the work of schools and the Trust. I am pleased to report that competition entries continued to rebound from the major decline in the first year of COVID-19 and the Trust continues to be in a strong financial position. I would like to thank our wonderful community of volunteers, our CEO Nathan Ford, and our hardworking staff who helped achieve these results by supporting and inspiring teachers and students across the country. Ms Belinda Robinson Chair, AMTT Ltd Board | 3 FROM THE CEO Although the schools, teachers and students we serve were not subject to the state-wide lockdowns of 2020 and 2021, COVID-19 was still very disruptive in 2022. Teachers and administrators across the country were faced with staff shortages and everchanging timetables and priorities. This made planning and preparing for our competitions and programs very difficult as they never knew what was around the corner. Despite this uncertain environment, our staff and volunteers did what they could to help schools find a way to participate and it was great to see our competition entry numbers continue to recover from the previous two years. Teacher engagement with Problemo also remained strong and allowed teachers to access and distribute our problems despite the challenging circumstances. Our Olympiad teams continued to perform exceedingly well on the international stage. While our European Girls’ Mathematical Olympiad and Informatics teams participated virtually, we were able to support the International Mathematical Olympiad (IMO) team in travelling to attend the competition in Norway. The outstanding achievements of our Olympiad students shows just how strong mathematical problem solving is among Australian students as we build up to host the IMO in Melbourne in 2025. Our work to address the underrepresentation of young women in STEM subjects continued in 2022 with our Curious Minds program. Expressions of interest in our 2022–2023 program exceeded 300 (for 120 spots), with a large increase in Indigenous student applications to 5 percent. This is now a wellestablished and mature program with alumni coming back to teach and mentor in the program. For the first time in Trust history, we established a set of organisational values to help guide our daily work and interactions with our stakeholders and customers. This was an extensive process involving staff and volunteers from across the organisation – from AMC and AMOC State Directors to Problems Committee Chairs, Canberra and remote staff – and resulted in the values outlined later in this report. I would like to thank the entire team for working on these values and am so glad to see how they are positively influencing the way we think about and complete our work. In Term 2, we ran a limited teacher professional learning pilot with a small group of schools from across the country. The program, online and asynchronous, aimed to help support teachers with the effective delivery of problem solving in the classroom. The findings from the pilot were promising with those teachers who participated reporting a growth in competence in the teaching of problem solving after using the online modules. Although we are not proceeding with further development of the program at this stage, I am very grateful for the hard work of the professional learning team and to the teachers who participated and gave us such wonderful feedback. As COVID-19 restrictions eased, we began to return to face-to-face events. All but one of our committees returned to in-person meetings, we held a partial resumption of physical training schools for our Olympiad programs, and we ran our AMC Awards nights across the country for the first time since 2019. After so many years of virtual work and meetings, it was a distinct pleasure for me to reconnect with our volunteers, remote staff and our loyal teachers, students and parents. At the end of June 2022, Dennis Trewin AO, stepped down from his role as Chair of the AMTT Ltd Board. A Board member since 2011, Dennis stepped into the role of Chair in 2017 and helped lead significant change at the Trust – including a governance review, the creation of the 2025 strategy and guidance and direction of the Trust through the first three years of the COVID-19 pandemic. I would like to thank Dennis for his amazing leadership and his passionate and strong support of the Trust, its volunteers and staff. The following pages will provide a sense of the commitment and hard work of everyone at the Trust – our volunteers, our staff and the teachers and students who create a vibrant and exciting community of problem solvers. I would like to thank them all for their continued passion, dedication and hard work. Mr Nathan Ford Chief Executive Officer ABOUT US 6 | MISSION AND VISION MISSION VISION A nation of creative problem solvers To be a leader in helping young Australians realise their problem-solving potential using maths and algorithmics FOCUS AREAS 1 Enriching and 2 extending student learning Building teacher capacity 3 Enabling the problem-solving community IMO 2025 Make Australia the centre of mathematical problem solving for young people in 2025. With the IMO competition as centrepiece, deliver nationwide events and programs to inspire and galvanise the next generation of Australian problem solvers STRATEGIC PRIORITIES 1.Revitalise student engagement: Enrich and develop our current programs to maximise student participation 2.Inspire teachers: Work with systems, schools and teachers to enhance the teaching of problem solving 3.Activate the community: Use our staff and volunteer expertise to lead the development of an active community of problem solvers STRATEGIC ENABLERS 1.People: Attract, develop and retain a high-performing staff and volunteer team 2.Internal systems: Address critical system and operating gaps 3.Financial stability: Conduct our business in a financially sustainable way | 7 VALUES STRIVING FOR EXCELLENCE We apply our experience and expertise to unlock quality learning and achievements GROWING THROUGH INNOVATION We value our past and adapt for the future BUILDING COMMUNITY We develop collaborative relationships with trust, openness and accountability CREATING ENJOYMENT We enrich education through a positive and supportive environment 8 | OUR PARTNERS AND SUPPORTERS Thank you to our valued partners and collaborators who help us achieve our mission of creating a nation of creative problem solvers through maths and algorithmic thinking. Members of the Trustee UC is Australiaʼs fastest rising university, and one of the fastest rising in the world. Itʼs also #1 in the ACT for full-time employment and starting salaries for three years running. Provides independent scientific advice, promotes international scientific engagement, builds public awareness and understanding of science, and champions, celebrates and supports excellence in Australian science. National Sponsor As a global market maker, Optiver works to make the worldʼs markets fairer, more transparent, and more efficient for everyone. Curious Minds Supporter Curious Minds is funded by the Australian Government Department of Education through the Womenʼs Economic Security Package 2018. Olympiad Supporter Our maths and informatics Olympiads are supported by the Australian Government Department of Industry, Science and Resources through the Science Competitions: Mathematics and Informatics Olympiads grant opportunity. Our EGMO initiative is supported by the Australian Government Department of Industry, Science and Resources through the Inspiring Australia – Science Engagement Programme. | 9 CAT Competition Remote & Very Remote Supporter The Computational and Algorithmic Thinking (CAT) competition round for remote and very remote schools is supported by CSIRO. Partners and Collaborators Australiaʼs premier provider of innovative and challenging science programs, competitions and residential camps for high achievers such as the Australian Science Olympiads. The leading organisation that supports and promotes mathematics education in schools in Australia, including professional learning, collaborative research and projects, advocacy, events and journals. The collaborative enterprise of Australiaʼs mathematical sciences. It exists to give independence to these disciplines and provide infrastructure so that they can take initiatives on the national and international stage. The national society of the mathematics profession in Australia. Its mission is the promotion and extension of mathematical knowledge and its applications. It represents all professional mathematicians in Australia, both pure and applied. An innovative and leading association that promotes the importance of mathematics to society through its programs and services. It has more than 1,400 members from all sectors of education including individuals, schools, universities and other institutions. A not-for-profit organisation whose goal is to improve mathematics education across Western Australian. MAWA is a vibrant organisation that provides support for anyone with an interest in mathematics including teachers, parents and students. The Aboriginal and Torres Strait Islander Mathematics Alliance (ATSIMA) is an Indigenous-led charity, and the only national organisation specifically committed to creating ways of teaching and learning mathematics that connect to Aboriginal and Torres Strait Islander histories and cultures. A professional organisation providing professional engagement, voice and support for mathematics education. Its vision is to enhance mathematics education in Queensland by promoting and supporting quality mathematics teaching and learning. 2022 KEY ACHIEVEMENTS | 11 PROBLEM PAGE Maths Challenge (MC) Junior Author: Andy Edwards (Challenge Problems Committee) Question: J1 Dropdown Numbers All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. a. Find the smallest dropdown number. b. What are the smallest and largest 4-digit dropdown numbers? c. How many 3-digit dropdown numbers are there? d. Is it possible for a pair of consecutive numbers to both be dropdown numbers? If not, explain why not. If it is possible, find the smallest such pair. Australian Mathematics Competition (AMC) Middle Primary Author: Mike Clapper (Chair of AMC Problems Committees) Question: 14 This card is flipped over its right-hand edge and then flipped again over its bottom edge. What does the card look like now? Andy Edwards was a long-time volunteer member of the Challenge committee who passed away at the end of 2022. 12 | Problem page Computational and Algorithmic Thinking (CAT) Author: David Kennedy (CAT Problems Committee) Question: Treasure-seeking robots only understand two instructions: F: Move forward one square. R: Turn right. Each of five robots, labelled A-E, is pre-programmed with the same set of instructions: FR FR FFR FFR FFFR FFFR FFFFR FFFFR ... The robots start in the positions shown in the grid, facing the way indicated by the arrow. Which robot finds the treasure at T first? Competition and programs COMPETITIONS AND PROGRAMS Competitions It's been a tough few years. Like schools and other organisations, the pandemic has driven the Australian Maths Trust to pivot quickly to digital delivery. In 2022 we moved forward with the rollout of a new competition management system, which has involved trialling new delivery methods and tools. This has been an important step for the modernisation of our business and our ability to effectively deliver and administer our competitions and programs to customers at scale. Throughout the year we undertook several processes to monitor and review program delivery, including staff, volunteer and customer surveys and extensive operational debriefs. This identified key areas for improvement in the areas of customer service, technology and planning. The team has been working hard since the end of the 2022 delivery cycle to improve processes and provide an improved service to teachers in 2023. In 2022 registrations increased across most competitions and programs, with AMC showing 8% increase to 187 346 and CAT a 15% increase from 2021 levels to 21 112. Maths Challenge and Maths Enrichment both bounced back by 15% and 18% respectively, with Challenge entries at 14 677 and enrichment at 7330. Our newer international competitions OUCC and KSF still present opportunities for growth. OUCC participation increased by 14% to 1092 entries, while KSF participation slipped back 2% to 7179, in most part due to the competition being held at the beginning of the school year when pandemic impacts were high. | 13 14 | Competition and programs First run in 1978, the Australian Mathematics Competition is Australia’s longest running, largest and most well-known maths competition for school students. The Computational and Algorithmic Thinking (CAT) competition gives students the chance to solve real-world problems through algorithmic thinking. CAT is suitable for any maths class and requires no programming experience. It can be used to develop students’ interest and potential in coding and computer programming. Inspired by the AMT’s Australian Mathematics Competition, Kangourou sans Frontières (KSF) is one of the largest maths competitions in the world, with more than 6 million participants each year. 2022 is the fourth year KSF has been delivered in Australia by the AMT. Competition and programs | 15 The Oxford University Computing Challenge (OUCC) helps students develop skills to produce programmed solutions to computational problems. The OUCC is a two-round competition. The first round is an open competition and builds on the principles used in the Computational and Algorithmic Thinking (CAT) competition. The second round is by invitation only and is used to identify suitability for the AMT’s high-performance programs. 2022 is the third year OUCC has been delivered in Australia by the AMT. Maths Challenge is an extension program for teachers to deliver in a classroom setting over a 3 to 4-week period. Teachers receive comprehensive printed materials including problem booklets and teacher guides with question-by-question tips, extension activities and a detailed marking guide. Maths Enrichment is an extension program to stretch and develop talented and advanced students run over a period of 12 to 16 weeks. 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 and can be retained as an enduring tool for teaching maths extension. 16 | Curious Minds CURIOUS MINDS Curious Minds empowers highly capable female students to pursue a STEM career, and aims to build confidence, interest, and skills to encourage the continuance of STEM studies at senior secondary and tertiary levels. Consisting of summer and winter camps, Curious Minds takes students on a deep dive into STEM subjects and an exploration of their interconnectedness through integrated STEM investigations. Between camps, students embark on a six-month STEM coaching program which sees each student partnered with a volunteer female STEM coach. Students and coaches work through a series of guided activities designed to assist the student to create personal goals, explore STEM topics, and investigate university courses, careers, and pathways. Created in 2015, Curious Minds has been jointly delivered by the Australian Maths Trust and Australian Science Innovations and continues to expand and evolve from its early beginnings. During the virtual programs for both the summer and winter camps, students were supported through Curious Minds Connect, an additional element of the Curious Minds program which delivers bimonthly informative and social events to engage, connect and support students. A total of 98 students attended the July winter camps which successfully delivered a variety of interactive and engaging sessions, including the following new workshops: • A recycling workshop presented by the UNSW SMaRT Centre where students investigated waste products generated at home and engaged in discussions exploring the potential and application for re-purposing plastic waste. As part of this workshop students received a 3D printing pen and created innovative designs out of recycled filament donated by the SMaRT Centre. • A privacy and security workshop delivered by Computer Science Education Research (CSER STEM PL) where students examined their online footprint and explored ways to keep information secure in an online world. • An interactive STEM coaching reflection leading students and coaches through an introspective art workshop, focusing on what makes them strong in STEM. In celebration of NAIDOC week, the workshop was delivered by the Stronger Smarter Institute, whose purpose is to create transformative change in Indigenous educational outcomes. The 2022–23 cycle began with record high student interest, with over 300 EOI submissions received on the Curious Minds website. Notably, there was a large increase in EOI submissions from Indigenous students (5%) and over 50% of students fell within the program’s target group, coming from regional/ remote locations, attending schools with low socioeconomic status and/or identifying as Indigenous. It is shaping up to be an exciting cycle as staff prepare to deliver a hybrid program model for the first time ever, delivering online December summer camps (2022) and face-to-face July winter camps (2023). The program is thrilled to welcome onboard the University of Adelaide as an additional sponsor. It will be a wonderful experience for west and east camp students to travel to Adelaide and Canberra, respectively, to explore the University of Adelaide and Australia’s National University’s facilities during the face-to-face July camps. As the new year begins, it is all hands-on deck as students actively engage in the STEM coaching and Connect programs, and staff busily plan the logistics of our first face-to-face camps in July! Curious Minds Curious Minds – Igniting Brilliance website homepage. Rubber duck Cleoniceras fossil A SMaRT Centre team member demonstrating how to use 3D printing pen to students. My cube Student sample of work created using 3D printing pen during the SMaRT Centre Recycling Activity. Eiffel tower | 17 18 | Problemo The Problemo platform has been in place for a full calendar year under a new subscription model, with a range of plans for schools, teachers, university students and coaching clinics. Free users have access to 100 problems and limited access to some features. Problemo Plus users have access to a library of more than 800+ problems and unlimited access to all of Problemo’s features, including 60+ lesson cards, the ability to print PDFs and create unlimited problem sets and online quizzes for students. As at the end of 2022, Problemo has a total of 4111 subscriptions, and 4732 individual teacher users. Problemo Problem Year 7-12 Question: Jim's Average Jim’s average score in his first six matches was 8.5. If all scores are whole numbers and his lowest score was 5, what is the lowest value which his highest score could have been? PROBLEMO Uptake has been high amongst university students, who make up over 60 % of total plus subscriptions. For the first time in 2022, we delivered practice and solution sets for KSF, CAT and AMC via Problemo, enabling teachers using those competitions to experience the Problemo platform. Work for the year ahead will focus on generating and analysing in depth, user data to inform next steps in the development of the product. Olympiads | 19 OLYMPIADS Sponsors of the Australian Olympiad teams The Olympiad programs are supported by the Australian Government through the Department of Industry, Science and Resources. They are also supported by Optiver, the Trustʼs National sponsor of the Australian Informatics and Mathematical Olympiads. The AMTʼs EGMO initiative is supported by the Australian Government Department of Industry, Science and Resources through the Inspiring Australia – Science Engagement Programme. European Girls’ Mathematical Olympiad (EGMO) In April, four talented young Australian women competed virtually in the 11th annual European Girls’ Mathematical Olympiad (EGMO) hosted by Hungary. The Australian team placed 3rd out of 57 competing countries and 222 contestants, scoring 4 Gold medals. The 2022 team’s achievement builds on its strong past performances of 20th in 2018, 14th in 2019, 12th in 2020 and 12th in 2021. The team’s historic individual performances saw each member achieve Gold and place in the top 10% with Grace Chang Yuan ranked 6th, Cloris Xu ranked 12th, Eunsu Choi ranked 15th and Iris Xu ranked 20th. The entire team helped Australia to achieve its best performance on the EGMO international stage and has demonstrated the strength and depth of Australia’s young female mathematical problem solvers. In addition, an Australian problem was included in the official competition, created by Ethan Tan, a former International Mathematical Olympiad medallist (2018) and staff member of the Australian Olympiad training program. Iris Xu Gold Medal Cloris Xu Gold Medal Eunsu Choi Gold Medal The 2022 EGMO Team (L to R): Iris Xu, Baulkham Hills High School, NSW, Year 10; Cloris Xu, Baulkham Hills High School, NSW, Year 10; Eunsu Choi, Brisbane State High School, QLD, Year 11; Grace Yuan, Methodist Ladies’ College, VIC, Year 12. Grace Yuan Gold Medal 20 | Olympiads Australian Mathematical and Informatics Olympiad teams announcement On 20 June 2022, 10 of Australia’s best and brightest students in maths and computational thinking were announced as members of the 2022 Mathematical and Informatics Olympiad teams. The teams’ announcement was held at Australian Parliament House in a return to a formal face-toface event after 2 years of COVID-19 disruptions and virtual presentations of this event. The guest speakers included local Ngunnawal Elder, Aunty Violet, delivering the official Welcome to Country, the Honourable Ed Husic, Minister for Industry and Science with his guest, Australian Chief Scientist Dr Cathy Foley, Mr Brandon Nguyen from Optiver and Olympiad student representatives, Lydia Colla and Grace Yuan, from the ASI’s 2022 International Physics Olympiad team and AMT’s 2022 European Girls’ Mathematical Olympiad and International Mathematical Olympiad team. International Mathematical Olympiad (IMO) The International Mathematical Olympiad (IMO) returned to face-to-face competition in Oslo Norway in 2022 and students were extremely excited to attend, collaborating and competing with their peers once again. The IMO is the culmination of the AMT’s High-Performance Pathway, with six students selected to represent Australia at the highest level. In 2022, Australia received 1 Gold medal, 4 Bronze medals and an Honourable Mention. In addition, Grace Yuan once again continued Australia’s excellence at the IMO by being awarded the Mirzakhani Award for the highest female achievement in the Oceania region. The students who attended in 2022 are pictured below: Tony Yuzheng Wu Gold Medal William Cheah Bronze Medal Sizhe Pan Bronze Medal Zian Shang Bronze Medal Christopher Tran Bronze Medal Grace Yuan Honourable Mention Olympiads | 21 International Olympiad in Informatics (IOI) After completing the Australian Informatics Olympiad (AIO), Australian Invitational Informatics Olympiad (AIIO) and the French–Australian Regional Informatics Olympiad (FARIO), high achieving students were invited to further training and attend the informatics selection schools, from which a team was selected to represent Australia at the 34th annual International Olympiad in Informatics (IOI). In the lead up to the international competition, the team worked extremely hard during their virtual training program. The competition was hosted by Indonesia in a hybrid onsite and online format due to continuing COVID-19 travel restrictions for some countries. The team competed against 349 contestants from 88 countries, winning 4 Silver medals. The students chosen to represent Australia at the 2022 IOI: Jerry Zirui Li (ranked 33) James Ruse Agricultural High School Year 11, Arthur Wenqi Sun (ranked 63) Scotch College Year 11, Joshua Chen (ranked 65) Christ Church Grammar School Year 12 and Evan Lin (ranked 71) Melbourne High School Year 11. Jerry Zirui Li Silver Medal Arthur Wenqi Sun Silver Medal Joshua Chen Silver Medal Evan Lin Silver Medal PROFILES | 23 PROBLEM PAGE Australian Intermediate Mathematics Olympiad (AIMO) Question: 5 There are 5 lily pads on a pond, arranged in a circle. A frog can only jump from each lily pad to an adjacent lily pad on either side. How many ways are there for the frog to start on one of these lily pads, make 11 jumps, and end up where it started? Kangourou sans Frontières (KSF) Norm Do (AMC Secondary Problems Committee and Chair of AMOC) Question: 30 A football match between teams from North Berracan and South Berracan is played in a stadium that has a rectangular array of seats for the spectators. There are 11 North Berracan supporters in each row, and 14 South Berracan supporters in each column. This leaves 17 empty seats. What is the smallest possible number of seats in the stadium? European Girls' Mathematical Olympiad Author: Ethan Tan (2018 Australian IMO team member and gold medallist) Question: 6 Let ABCD be a cyclic quadrilateral with circumcentre O. Let the internal angle bisectors at A and B meet at X, the internal angle bisectors at B and C meet at Y, the internal angle bisectors at C and D meet at Z, and the internal angle bisectors at D and A meet at W. Further, let AC and BD meet at P. Suppose that the points X, Y, Z, W, O and P are distinct. Prove that O, X, Y, Z and W lie on the same circle if and only if P, X, Y, Z and W lie on the same circle. 24 | Profiles VOLUNTEER Holly Gyton Secondary Problems Committee Maths always was, and still is, my favourite subject at school! Like many people, my first involvement with the work of the Australian Mathematics Trust was as a school student myself, happily engaging in ‘the Maths Competition’ each year. While the competition day itself was fun, the lead up to it was somehow even better. Why? We had such wonderful discussions in class with my teachers and fellow students about past problems from the competitions. These were some of my most memorable maths lessons. I loved hearing the different approaches others took, their observations on the way to a solution, the wrong turns they took as well as the right ones … and coming to an agreement about the most elegant way we could think of to solve the problem! Somehow this process didn’t feel like real work to me, it was just fun to solve problems. Fast forward a decade or so, and it was no surprise that as an early career maths teacher, I jumped at the chance to be the NSW state moderator for the Australian Mathematics Competition in about 1999 when my Head Teacher, Anne Hastings, asked if I would be interested. I loved it! Soon afterwards, Warren Atkins invited me to join the Secondary Problems Committee and I have been there ever since. Since then, I have completed a Masters in Pure Maths and later an Executive MBA, volunteered at the National Mathematics Summer School, been on the Executive team of MANSW (Mathematical Association of NSW) – including two years as the President – and been involved in a range of curriculum and assessment projects with NESA, including the HSC. Throughout my teaching career, I have enjoyed having different roles at school along the way to my current position as the Deputy Head of School at SCEGGS Darlinghurst … but three things haven’t changed: I am still teaching maths, still on the Secondary Problems Committee and yes, still loving it! Our Secondary Problems Committee brings together a broad range of interesting volunteers – classroom mathematics teachers like me, university academics, mathematicians working in other industries and the staff of AMT. And while our backgrounds are quite different, our task is the same – to create interesting and fun problems each year. You may see these problems first in competition papers, but you may also come across them in books, workshops and now in Problemo too! It is lovely to see these questions having a life of their own, well beyond the original formulation for the competition itself. Each member of the committee brings different experience, expertise and insights to the questions we write and so our unique contributions around the table are all essential as we make each question just a little better with each iteration. It is truly collaborative, very efficient and lots of fun – how many committees can you say that about? Every time we meet, I learn just a little bit more about problem solving and mathematics from my colleagues around the table. They have certainly helped me to learn so much more and to be a better problem solver, so I thank them all for their generosity, patience and willingness to share. Even more importantly, I think my experiences as a volunteer on the Secondary Problems Committee have helped me be a better maths teacher. I believe it is essential that the students of today know that mathematical problem solving is as much about creativity, ingenuity, and perseverance as it is about knowing your times tables, a strategy or a formula! The work of AMT provides so many different vehicles to help maths teachers grow the next generation of good thinkers and problem solvers in their own classrooms – and what a great asset such a generation could be for Australia! I also think it is good for me to be reminded of the ‘student’ experience each year – struggling with a question, perhaps not being sure quite where to start, but knowing that the only way is to take an academic risk and dive in. Also, to try something, to see where it takes you and to look for the signposts that help you differentiate between possible triumph and the dreaded dead end! My work on the Secondary Problems Committee continues to be a truly rewarding professional experience combining a love of learning myself with an enjoyment of the challenge of trying to write interesting questions that help students learn about mathematics. And somehow this process still doesn’t quite feel like work to me – it is still just fun to solve problems! Profiles | 25 VOLUNTEER Rob Fuller NSW State Director AMC I currently volunteer for the Trust as the New South Wales State Director for the Australian Mathematics Competition (AMC), alongside my full-time job as a Mathematics Teacher at Sydney Grammar School. In addition, I have the privilege of being a moderator for the Primary AMC papers and have recently been invited to join the Primary Problems Committee following the retirement of distinguished, long-standing contributors, including Warren Atkins, Jan Cavanagh, and Karen Diehl. This is an exciting development in my role with the Trust and although they are big shoes to fill, I trust that I can go some way towards helping continue their amazing, creative work in compiling the pre-eminent mathematics competition not just for Australia, but the whole Pacific region. As a child growing up in the United Kingdom, I always enjoyed mathematics and from my early years showed a strong aptitude for the subject at school. In my spare time I devoured puzzle books, whiling away many a happy hour completing either logic or lateral thinking puzzles. My first encounters with mathematics competitions came in my early years of secondary school and I can still clearly remember sitting in our school hall attempting the Junior Mathematical Challenge. This was an hourlong multiple-choice competition set by the United Kingdom Mathematics Trust (UKMT), essentially the British equivalent of our beloved Australian Mathematics Competition. After the competition we were allowed to take the question papers home, and I recall spending time sitting scratching my head over several of the harder problems posed, then discussing them with my father and with peers from my class. After studying degrees in Theoretical Physics at Lady Margaret Hall, Oxford, I settled upon a career in teaching. In my first teaching position in England, I was quick to volunteer to take on the administration of the Junior, Intermediate and Senior Maths Challenges and I also made extensive use of problems from previous years’ papers in the classroom to expose my students to the excitement and challenge of problem-solving as a regular part of their mathematics journey. The UK competition papers share many similarities with the AMC, a multiple-choice format completed under a tight time limit with a variety and depth of interesting problems to provide a genuine challenge to even the most capable of secondary age mathematics students. Though when pushed on the subject I would have to confess that I prefer the Australian format since I am a particular fan of the final five questions of the papers that require students to find an integer solution between one and one thousand. These add an extra dimension to the competition, providing the opportunity to delve deeper into the problems and really differentiate the most capable students. I emigrated to Australia in my mid-twenties and began teaching at Newington College, a prestigious private boys’ school in Sydney, and it was here that I was first introduced to the work of the Trust through the AMC and the Enrichment series. I continue to be impressed year on year by the ingenuity of the problem writers who come up with such an impressive variety of interesting contexts in which to couch the mathematical ideas. I love that these competitions present a refreshingly different challenge for students to the routine of their regular mathematics lessons. Since first being invited to volunteer at the Trust by Mike Clapper whom I had met at numerous mathematics conferences, I have come to really value the opportunity of working alongside such fascinating, passionate and talented mathematicians who continue to challenge me on my own mathematical journey, and I can honestly say I never fail to come away from an AMT meeting without being both inspired and encouraged by those I encounter. 26 | Profiles STUDENTS Lily Morgan Curious Minds Cadence Taylor Curious Minds I was invited to the Curious Minds program as a top performer in the 2021 Australian Maths Competition. Even though the summer and winter camps were held online, I found them extremely engaging; being sent physical materials to use in the sessions made the program much more enjoyable and immersive. The staff were also very passionate. I first heard of Curious Minds through my teachers and was excited to apply. When I heard I was accepted, beyond excited could not even start to describe how I felt. Science has always been one of my favourite subjects and being able to learn more about it and extend my knowledge through all the different aspects of STEM was exciting. I found the online summer and winter camps really interesting and learnt heaps about future pathways, industry professionals, uni life and made lots of new friends. My STEM coach, a ‘High Ability Practice Leader’ from a nearby school, was extremely supportive and provided a lot of resources for me to further my learning and thinking. With her feedback I created a presentation about the importance of scientific integrity, which included the results of a student survey that I organised and carried out myself. Overall, I think the Curious Minds program both introduced me to new areas of science and grew my confidence in independent work, and I would absolutely recommend it to any girls interested in science. One of my favourite parts of Curious Minds was the STEM coaching program, where I was lucky enough to be paired with the incredible researcher Sonia Shah. Sonia and I both had a strong passion for marine biology, and I decided to do my passion project on Lady Musgrave Island, located in the heart of the southern Great Barrier Reef. I was lucky enough that Sonia and I were able to meet up in person and embark on a journey to Lady Musgrave Island with both our families. Together we documented native wildlife, became marine biologists for the day, went on a guided snorkeling tour where we collected data on the health of the coral, turtles, fish, and threats which we then submitted to the ‘eye on the reef’, as well as collected data from passengers about their awareness of the reef and the impacts of climate change. The best part of this experience was that we got to do it together. This experience confirmed my passion for all things science and has led to so many more opportunities like an engineering camp to a mine in NSW which had a focus on earth and environmental science. I have also just applied for a marine biology trip to Tasmania. I’m currently studying Biology, Chemistry, Maths Methods, Specialist Maths, English and Business and I’m excited to pursue my passion for science in tertiary studies. Profiles | 27 STUDENTS Grace Yuan EGMO and IMO Tony Wu IMO My journey in maths Olympiads started in my secondary school when I was first invited to the Australian Mathematical Olympiad Committee School of Excellence. Having former Olympiad maths competitors as our lecturers, I was introduced to Olympiad maths systematically as well as many new theorems. In two weeks, my perception and approach toward maths was greatly improved. Before participating in mathematical Olympiads, I used to think that maths was just another subject. But through my early years of high school, experiencing and learning more maths has really shown me the fun and rewarding aspect of maths and problem solving, like I was playing with numbers and objects in the question. I was invited to my first national maths camp at the end of 2020 from my mark at AIMO and was introduced to so much more material and content for Olympiads. I was instantly captured by the variety and depth hidden in Olympiad content and problems. From lectures and practices to past contests and challenges, there were always more problems to solve, more maths to try, more knowledge to learn. It’s hard to get bored and sometimes it’s overwhelming. But pushing through these fun years I’ve made many friends who share my interest, grew my confidence in problem solving and beyond, and developed my own likes and dislikes in the area of Olympiad. The passion of everyone in the camp was so inspiring and encouraged me to devote more time to maths eventually leading me to represent Australia in IMO and EGMO. For me, competitive maths not only brings unique enjoyment through problem-solving, but also teaches me how to face challenges directly. I have now learned to set up a positive mindset and have become increasingly brave in front of failure and mistakes because I believe they are the path to future success. One exceptional chapter of my journey was representing Australia EGMO in 2022. Not only was I ranked 6th globally, but also witnessed all four members in our Australian team win Gold Medal for their effort. We are proud to say that Australia is the only country to achieve this outcome in 2022. This experience was particularly meaningful to me because I competed with girls who shared a similar passion for maths from all over the world. With EGMO and other efforts of the AMT, I believe that an increasing number of girls in Australia will enjoy a similar path with me, allowing our community more ideas, creativity, and diversity. In the coming years, I will be studying mathematics and computer science at Massachusetts Institute of Technology. Meanwhile, I will contribute back to our community by working as a tutor or mentor for future participants or through whatever way I might be needed. Also, I will try to become a role model who can pass my passion for maths to others and support more girls in their maths journey. And I am very thankful for the continuous support from AMT, whether it be in Olympiad camps, feedback and practices, or the exceptional coordination from our team’s leaders at the IMO that helped me achieve more marks than I ever thought possible! The Olympiad program not only helped improve my maths, but it has also helped me come to realise the invaluable significance of patience and concentration. I have come to know how to think deeply and thoroughly, how to concentrate on one problem for hours on end, how to alter my perspective and change approaches to understand and tackle problems. This year I will study mathematics at Cambridge to continue pursuing my interest in mathematics. 28 | Profiles STUDENTS Jerry Li IOI Australian Intermediate Mathematics Olympiad (AIMO) Question: 5 My informatics journey began in Year 7 when I joined my school’s programming club. After a year of preparation for the AIO, I was finally invited to the Informatics School of Excellence in December 2019. This two-week program taught me the basics of competitive programming and allowed me to meet like-minded peers who have since become some of my best friends. With the help of many amazing tutors and peers, I received 33rd place in the International Olympiad in Informatics (IOI) last year. I was then invited to a training camp in Singapore where I discussed computer science with fellow informaticians from around the world. Coding aside, I am an avid TikToker, street dancer, and Olympiad mathematician. But make no mistake — informatics is still my first and foremost passion, one which I intend to continue as I look to return to the program as a tutor to train the next generation of competitive programmers. Looking ahead, I see university as a hub for further exploration, opening me to the manifold subfields that constitute the study of computer science. There are 5 lily pads on a pond, arranged in a circle. A frog can only jump from each lily pad to an adjacent lily pad on either side. How many ways are there for the frog to start on one of these lily pads, make 11 jumps, and end up where it started? In Memoriam IN MEMORIAM The Trust’s work has always been supported by an enthusiastic and incredibly passionate group of volunteers and staff. It is with great sadness the Trust lost several key supporters in 2022. The Trust’s achievements over the past 40 years would not have been possible without contributions, encouragement, and advice from: Don Aitkin Inaugural Australian Mathematics Trust Chair Roger Hosking Australian Mathematics Competition Director for Brunei Neville de Mestre Australian Mathematics Competition moderator Andy Edwards Challenge Problems Committee Member | 29 GOVERNANCE Organisational Structure | 31 ORGANISATIONAL STRUCTURE Australian Maths Trust Trustee Limited (AMTT) The Trustee for the Australian Maths Trust is AMTT Ltd. AMTT Ltd is a not-for-profit company limited by guarantee and registered as a charity with the Australian Securities and Investments Commission (ASIC) and the Australian Charities and Not-forProfits Commission (ACNC). The Trustee has two members: the University of Canberra and the Australian Academy of Science. The AMTT Ltd Board oversees the management of the organisation and is responsible for: • setting the strategic direction of the company and monitoring organisational performance against targets and Trust objectives • approving annual financial budgets • setting up committees of the Board where appropriate or required • recruiting and monitoring the performance of the Chief Executive Officer of the Trust • approving and reviewing organisational or Board policies • overseeing and ensuring adequate risk management • ensuring compliance with the Trust’s legislative obligations. Directors of AMTT Ltd 2022 • Mr Dennis Trewin AO FASSA (Chair) (term expired 30 June 2022) • Ms Belinda Robinson (Chair) (term commenced 1 July 2022) • Professor Leon Sterling (Deputy Chair) • Mr David Sturgiss • Dr Nam Van Do • Professor Elisa Martinez-Marroquin • Mr John Bament • Ms Allason McNamara • Mr Geoffrey Shuetrim • Ms Susan Lever • Emeritus Professor Robyn Owens Board Committees Business Development Committee • • • • • Mr Geoff Shuetrim, Chair Ms Stella Jinman Mr Jonathan Palmer Professor Leon Sterling Mr Robert Hillard Finance and Audit Committee • • • • • Mr David Sturgiss, Chair Mr Geoff Shuetrim Mr Robert Thompson Dr Philip Swedosh Mr David Kennedy The AMTT Ltd Board relies heavily on volunteer contributors and all members of the Business Development and Finance and Audit Committees are volunteers. Operational Committees • Australian Mathematical Foundation (AMF) – Mr John Bament, Chair • Australian Mathematical Olympiad Committee (AMOC) – Associate Professor Nam Van Do, Chair Problems Committees The Trust relies on a number of critical volunteer committees that develop, moderate and prepare problems for use on competitions and enrichment activities. These committees include: • AMC Primary and Secondary Problems Committee – Mr Mike Clapper, Chair • CAT Problems Committee – Dr David Clark, Chair • Maths for Young Australians Committee (including Challenge and AIMO committees) – Dr Kevin McAvaney, Chair • Australian Mathematical Olympiad Committee Senior Problems Committee – Dr Ivan Guo, Chair Management and Staff For more information about AMT staff and management, please visit our website. FINANCIAL OVERVIEW Financial Overview | 33 Australian Mathematics Trust ABN 39Australian 120 172 502 Mathematics Trust ABN 39 120 172 502 Statement of Profit or Loss andand Other Comprehensive Income Statement of Profit or Loss Other Comprehensive Income For the ended 31 31 December 2022 For year the year ended December 2022 2022 $ 2021 $ Revenue Revenue from competition and workshop fees Revenue from Problemo Plus subscriptions Revenue from sale of goods Grants and sponsorship Investment income Other income 3,026,058 41,625 167,466 1,108,583 515,401 19,400 2,100,747 59,605 223,641 1,117,806 876,308 1,989 Total revenue from operations 4,878,533 4,380,096 Expenses Accounting and legal Advertising and promotion Amortisation of intangibles Bad debts Consultants Cost of sales Depreciation Directors Fees Insurance Interest expense Investment Expense Licence fees Meals and entertainment Medals and prize money Office accommodation costs Olympiad registration fees Other expenses Printing, postage and stationery Repairs and maintenance Salaries and contractors Sponsorship Superannuation Travel and accommodation Web and shop site hosting Total expenses from operations 40,319 246,269 97,806 875 351,798 - 23,835 16,065 30,056 56 16,382 439,711 54,008 10,289 62,447 3,513 107,636 236,119 74,630 2,676,074 30,027 233,358 47,601 222,515 104,312 (5,592) 534,398 10,768 47,842 25,462 - 186,413 12,355 4,373 62,098 5,111 121,443 211,205 63,046 2,978,516 28,166 248,158 39,471 262,062 2,155 79,614 5,038,902 5,003,863 Surplus / (deficit) before income tax Income tax expense (160,369) (623,767) Net surplus / (deficit) from operations (160,369) (623,767) - - Other comprehensive income Items that will not be reclassified subsequently to profit or loss Net realised and unrealised gains / (losses) on financial assets (1,243,500) 868,086 Other comprehensive income / (loss) for the year (1,243,500) 868,086 Total comprehensive surplus / (deficit) for the year (1,403,869) 244,319 Financial Statement Extract. For the complete financial statements refer to the ACNC website - https://www.acnc.gov.au/ 34 | Financial Overview Australian Mathematics Trust ABN 39 120 172Mathematics 502 Australian Trust ABN 39 120 172 502 Statement of Financial Position As at 31 December 2022 Statement of Financial Position As at 31 December 2022 2022 $ 2021 $ Trade and other receivables Inventories Financial assets Other assets 3,536,520 288,510 61,375 903,191 208,285 3,017,647 31,779 48,638 652,189 194,832 TOTAL CURRENT ASSETS 4,997,881 3,945,085 10,945,115 63,595 271,981 13,299,865 63,672 369,787 11,280,691 13,733,324 16,278,572 17,678,409 CURRENT LIABILITIES Trade and other payables Employee benefits Other liabilities 425,775 274,737 289,406 510,385 271,416 229,319 TOTAL CURRENT LIABILITIES 989,918 1,011,120 67,046 41,812 67,046 41,812 1,056,964 1,052,932 15,221,608 16,625,477 (145,762) 15,367,370 3,131,203 13,494,274 15,221,608 16,625,477 ASSETS CURRENT ASSETS Cash and cash equivalents NON-CURRENT ASSETS Financial assets Plant and equipment Intangible assets TOTAL NON-CURRENT ASSETS TOTAL ASSETS LIABILITIES NON-CURRENT LIABILITIES Employee benefits TOTAL NON-CURRENT LIABILITIES TOTAL LIABILITIES NET ASSETS EQUITY Financial asset reserves Retained earnings TOTAL EQUITY Financial Statement Extract. For the complete financial statements refer to the ACNC website - https://www.acnc.gov.au/ AUSTRALIAN MATHS TRUST Building 18, 170 Haydon Drive BRUCE ACT 2617 Telephone: +61 2 6201 5136 www.amt.edu.au AMTT Limited ACN 083 950 341 Copyright © 2023 Australian Mathematics Trust