Draft:Asia International Mathematical Olympiad

The Asia International Mathematical Olympiad (AIMO), also known as the Asia International Mathematical Olympiad Open Contest (AIMO Open), is an international mathematics competition organised by the Asia International Mathematical Olympiad Union. The competition has been held annually since 2012, with final rounds hosted in different locations including Hong Kong, Taiwan, Chengdu, Thailand, Malaysia, and Japan.

Competition structure

AIMO is primarily conducted through qualifying round(s) followed by an invitation-only international final round. Local trial or qualifying contests are administered by regional or national organisers, through which selected participants are invited to compete in the AIMO Final.

In the final round, contestants typically participate as part of delegations representing their country or region. The competition is held annually, with host locations varying by year; for example, the 2025 final round was held in Japan.

Scoring and format

The AIMO Final consists of a single paper with 30 questions and a total of 150 marks. The paper is divided into three sections of increasing difficulty:

• Section A: 12 questions, 3 marks each
• Section B: 10 questions, 5 marks each
• Section C: 8 questions, 8 marks each

The duration of the final round is 120 minutes. Calculators are not permitted.

Problems in the AIMO Final are drawn from areas of elementary mathematics including algebra, geometry, number theory, and combinatorics, and are designed to be non-routine, some requiring extensive problem-solving skills.

Answers must be provided in exact form unless otherwise specified.

Awards

Awards for the AIMO Final are determined by final-round performance:

• Top 3 Award: awarded to the three highest-scoring participants in each grade (Champion, 1st Runner-up, 2nd Runner-up)
• Gold Award: top 10 per cent of participants
• Silver Award: next 20 per cent of participants
• Bronze Award: next 30 per cent of participants
• Merit Award: next 40 per cent of participants

Other participants receive certificates of participation. In the event of tied scores, ranking is determined by date of birth, with the younger contestant ranked higher.

Participating countries and regions

Brazil Bulgaria China Cambodia Hong Kong India Indonesia Kazakhstan

Macau Malaysia Myanmar Philippines Singapore South Korea Thailand Turkey

Taiwan Australia Azerbaijan Iran Vietnam

The AIMO Union has established local secretariats and partner organisations across multiple countries and regions in Asia and internationally, through which the competition is administered.

Sample problems

• Find the remainder of $2015^{2017}\div 2016$. (Grade 9 Sample Question Q3)

• Given that $\alpha$ and $\beta$ are distinct real roots of $x^{2}-2019x+361=0$. Find the value of $\alpha ^{2}+2019\beta$. (Senior Secondary 2019 Q8)

• If we do an operation on a row of one-digit numbers on a blackboard, we write down the units digit of the product of every 2 neighbouring numbers below them. For example, we write down “3 2 4 2” below “1 3 4 6 2” after an operation; we write down “6 8 8” below “3 2 4 2” after an operation. Now, do an operation on a row of 2019 one-digit numbers “1 0 1 1 0 2 1 0 3 1 0 4 1 0 5 … 7 7 2 7 7 3”, and do operations on the results repeatedly. After $n$ times of operation in total, all the numbers in the final result are 0’s. Find the minimum value of $n$. (Senior Secondary 2019 Q11)

• Let $f(n)=5n^{4}-10n^{3}+10n^{2}-5n+1$, find the last two digits of $\sum _{i=1}^{2016}f(i)$. (Senior Secondary Sample Question Q18)

See also

• International Mathematical Olympiad
• Asian Pacific Mathematics Olympiad
• List of mathematics competitions

External links

• Official AIMO Open page
• AIMO Union page
• AIMO information page

Category:Mathematics competitions