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WMI Past Papers with Answers - Practise Online

About WMI

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About WMI

The World Mathematics Invitational (WMI) is an international mathematics competition for students from kindergarten to Grade 12, run by the WMI Organizing Committee together with member organisations in many countries and regions. Each grade has its own paper. Students first take a Preliminary Round in their own country, and medal winners are invited to an international Final Round held every July in a different host city.

WMI past papers are a good fit for students who want a two-part paper that tests both logical reasoning and applied problem solving. This page covers the WMI levels, the two rounds, the exam format and scoring, and how to prepare.

Overview

WMI was founded in 2013. The first competition was held in Seoul, South Korea, with teams from Taiwan, the United States, South Korea, Indonesia and Hong Kong. Since then the WMI Organizing Committee has grown to include member organisations from many more countries and regions, and the Final Round has moved between host cities. The 2026 Final Round was held in Chiba and Tokyo, Japan.

Each member organisation runs the Preliminary Round in its own country or region using the common international paper. To support transparency, the organisers invite coaches from participating countries to help with proctoring and grading.

WMI problems are written in English, Traditional Chinese and Simplified Chinese, and other translations can be requested from the Organizing Committee.

WMI levels and grades

LevelGradesNotes
KindergartenKindergartenOne kindergarten paper at international level
Grade 1 to Grade 12Grade 1, Grade 2, ... Grade 12A separate paper for each grade

Some countries use local names for grades, such as P1-P6 and S1-S6 in Hong Kong, but each one maps to a single grade from kindergarten to Grade 12.

Rounds

  • Preliminary Round. Organised by each WMI member country or region between January and March, using the common paper. Medals are awarded within each country and grade.
  • Final Round. Students who win a gold, silver or bronze medal in the Preliminary Round are invited to represent their country. All teams gather in one host city for the Final Round in July.

WMI exam format and scoring

Both rounds use the same two-section structure, worth 200 points in total. The main difference is the question type in Section B.

SectionPreliminary RoundFinal RoundPoints
A. Logical Reasoning10 multiple choice (6 points each) + 5 multiple choice (8 points each)Same as Preliminary100
B. Applications10 multiple choice (10 points each)10 short answer (10 points each)100

In the Preliminary Round each section lasts 40 minutes. As the names suggest, Section A focuses on logical reasoning, while Section B is about applying mathematics to problems. In the Final Round, Section B has no options to choose from, so students must work out the exact answer.

The details above come from WMI partner organisations and published sample papers; the official scoring table is published on the WMI website.

When is it held

The Preliminary Round takes place between January and March, with dates set by each member country or region. The Final Round is held in July. Students register through the WMI member organisation in their own country, usually via their school or a local competition centre. Check the WMI website or your local organiser for current dates.

How to prepare with past papers

  • Practise both sections separately. Section A rewards quick logical thinking, while Section B needs careful reading and multi-step working. Time each section on its own at 40 minutes to learn the different pace.
  • Watch the 8-point questions. The last five questions of Section A are worth more. Make sure you save time for them instead of getting stuck early.
  • Read word problems twice. Section B questions often hide the key condition in the story. Underline what is asked and the units before calculating.
  • Prepare for short answers before the Final. If you are invited to the Final Round, practise Section B questions without looking at the options, since the Final asks for the answer directly.
  • Use papers from your own grade, then one grade up. Each grade has its own paper, so working through the next grade's paper is good stretch practice.

On Edupiad you can take WMI past papers online with a timer, get automatic marking when you submit, and review each question afterwards. Available years, grades and solutions depend on what has been added to the library.

Frequently asked questions

What grades can take part in WMI?

WMI is open to students from kindergarten to Grade 12, with a separate paper for each grade.

How do you qualify for the WMI Final Round?

Students who win a gold, silver or bronze medal in the Preliminary Round in their country are invited to the Final Round.

How many questions are in the WMI paper?

Each paper has 25 questions in two sections: 15 in Section A (Logical Reasoning) and 10 in Section B (Applications), for a total of 200 points.

What is the difference between the WMI Preliminary and Final Round?

The structure is the same, but in the Final Round the 10 Section B questions are short-answer questions instead of multiple choice.

Is WMI hard?

The difficulty is set separately for each grade. Early questions are accessible to students who are confident with school maths, while the higher-scoring questions require competition-style reasoning.

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