FMO Past Papers with Answers - Practise Online

The Fermat Mathematical Olympiad (FMO) is an annual international mathematics competition organized by Fermat Education in Vietnam, for students from grade 1 to grade 12. Students sit a national round in their own country, and medal winners are invited to an international final held in Vietnam.

FMO papers have a fixed four-section structure, so FMO past papers are an efficient way to learn the timing and the scoring before the real test. This page explains the FMO levels, the exam format, the rounds and how to prepare.

Overview

FMO is developed and run by Fermat Education (Fermat Education Joint Stock Company), an education company based in Vietnam. Outside Vietnam the competition is delivered through local partners. For the 2026-2027 season the organizer lists participants from more than 18 countries and territories, including the United Kingdom, Azerbaijan, India, Bangladesh, Bulgaria, Cambodia, Taiwan, Hong Kong, Indonesia, Kazakhstan, Thailand, Turkey, Uzbekistan and Vietnam.

According to the organizer, questions are designed around the school curriculum that students have covered up to about two weeks before the exam date, combined with olympiad-style reasoning. Calculators and other electronic devices are not allowed.

FMO levels and grades

FMO has a separate paper for each grade from 1 to 9 and one shared paper for the last three years of school.

Students register for the level that matches the grade they are in during the current school year.

Rounds

• Qualifying Round. Held only in Vietnam, online, before the national round.
• National Round. Held in every participating country. In Vietnam it is an in-person exam; in many other countries it is taken online under supervision. Gold, silver and bronze medal winners qualify for the final.
• Final Round (international). Held in Vietnam, usually in Ho Chi Minh City, over several days in January. Students from all participating countries take part.

FMO exam format and scoring

The national round paper has 21 questions in four sections. Marks per question rise from section to section, and the last section is a single short-answer question with a penalty.

Time allowed: 75 minutes for grades 1-6 and 90 minutes for grades 7-12. Published guides differ slightly on the marks for Sections B and C and on whether a blank answer in Section D is also penalised, so read the rules for your country's round carefully.

Medals in the national round are awarded by ranking: Gold for the top 10 percent, Silver for the next 20 percent and Bronze for the next 30 percent, according to partner information for recent seasons.

When is it held

FMO follows the school year. In Vietnam the qualifying round is held in early summer and the national round in late summer. In most other countries the national round is held around September. The international final takes place the following January. Registration closes a few weeks before the first round and is done through schools, learning centres or the local partner.

How to prepare with past papers

• Decide your Section D strategy in advance. One question can move your score by 20 marks: plus 10 if right, minus 10 if wrong. Practise it last, with fresh eyes, and answer only when you have checked your result.
• Do not rush Section A. Ten questions with the lowest marks still add up to a large share of the score. Aim for full accuracy here before spending time on the hardest questions.
• Practise under the real time. Twenty-one questions in 75 or 90 minutes is about 4 minutes per question, but Section C needs more. Train with a timer.
• Prepare for no calculator. Practise mental arithmetic and estimation so that you can use estimation to eliminate options in multiple-choice sections.
• Revise the school syllabus too. Because the paper follows the curriculum up to two weeks before the exam, strong basic school mathematics pays off directly.
• Senior students: practise across grades. Grades 10, 11 and 12 sit one paper, so grade 10 students should expect some topics they have not studied yet.

On Edupiad you can take FMO past papers online with a timer, get automatic marking and review each question after you submit. The years and solutions available differ from paper to paper.

Frequently asked questions

What grades can take FMO?

Grades 1 to 12. Grades 1 to 9 each have their own paper, and grades 10 to 12 share one Senior Secondary paper.

Does FMO have negative marking?

In most published guides, only Section D has a penalty: the final short-answer question is worth 10 marks, and a wrong answer loses 10 marks. The multiple-choice sections have no deduction. Rules can vary by country, so check your partner's instructions.

How do you qualify for the FMO Final Round?

Students who win gold, silver or bronze in the national round can register for the final, held in Vietnam.

How long is the FMO exam?

75 minutes for grades 1-6 and 90 minutes for grades 7-12 in the national round.

Is FMO only for students in Vietnam?

No. The organizer is based in Vietnam, but students from many countries take the national round through local partners and travel to the final.

Sources

• FMO 2026-2027 registration announcement (Fermat Education)
• FMO National Round format (Mathlympia)
• FMO information (Global Olympiads Academy)