The total duration of the test is 100 minutes, and the use of a calculator is prohibited.
Each question is worth 10 points, for a total of 150 points.
Minimum of 2 to 4 players per team.
In the middle school division, students can be in the same team with students from different schools or countries. However, in the high school division, all team members must be from the same school, and a school teacher must submit the application. For the middle school division, an adult over the age of 20 can act as a supervisor and submit the application. Applications should be sent to mathcontest@imc-impea.org. The exam is free of charge.
Scope of the Test
Middle School Students
1. The Number System
- Know that there are numbers that are not rational, and approximate them with rational numbers.
2. Expressions and Equations
- Work with radicals and integer exponents.
- Understand the connections between proportional relationships, lines, and linear equations.
3. Functions
- Define, evaluate, and compare functions.
- Use functions to model relationships between quantities.
4. Geometry
- Understand congruence and similarity using physical models, transparencies, or geometry software.
- Understand and apply the Pythagorean Theorem.
- Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
5. Statistics and Probability
- Investigate patterns of association in bivariate data.
High School Students
Number Theory (Integers)
Graph Theory, Equations, Inequality
Trigonometry (Definition of Trigonometric Functions, Law of Sines, Law of Cosines, Various Formulas (Sum & Difference Formulas, Double Angle Formula...etc.))
Counting (Combinations, Permutations, Combinations with repetition) & Probability
Plane Geometry (Pythagorean Theorem, similarity, application of Pythagorean Theorem and similarity)
Space Geometry & Vectors
Sequences, Series
Complex Numbers
IMC Math Modeling Contest (IMMC)
Application Form
A test to read the given research paper, make a problem that is happening around us in relation to the paper, solve the problem with mathematics, and write a solution.
The middle school division has a 6-hour exam, while the high school division has an 8-hour exam. Answer sheets can be submitted in doc, docx, or pdf format. If handwritten, they can also be submitted as a jpg file.
There is no fixed length for the answer sheet, but on average, students submit around 5 to 12 A4 pages.
You can use books, Internet, calculator, and coding but if you use ChatGPT to copy it, the test will be canceled and several universities in collaboration with us will be notified. Using ChatGPT is judged as cheating.
IMC Math Modeling Contest (IMMC) This is designed to test students' creative math skills.
Minimum of 2 to a maximum of 4 students per team.
In the middle school division, students can be in the same team with students from different schools or countries. However, in the high school division, all team members must be from the same school, and a school teacher must submit the application. For the middle school division, an adult over the age of 20 can act as a supervisor and submit the application. Applications should be sent to immc@imc-impea.org. The exam is free of charge.
