MIREA master's math entrance exam papers
The MIREA master's exam in higher mathematics follows the same syllabus year after year, and the topics barely change. Below are open past papers to download, plus complete step-by-step worked solutions for 29 real papers from 2010–2025 inside the course.
Open past papers
Originals from 2024–2025 (also published on the MIREA site) — download and solve them by hand.
Worked solutions for 29 papers (2010–2025) — in the course
The course gathers 29 real past entrance papers — from 2010 to 2025. Every problem is worked step by step, with an answer and the original scan to check against; papers are grouped by year, each with a "solved" mark (progress is saved in your dashboard). Numbers in the trainer are random and answers are computed exactly — drill a problem type as long as you need.
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Which topics appear in the papers
- Complex numbers
- Determinants and permutations
- Matrices and eigenvalues
- Analytic geometry
- Limits and asymptotics
- Derivatives and extrema
- Integrals (including Green's theorem)
- Differential equations
- Probability theory
- Series and generating functions
- Residues and Laurent series
This is self-study based on real past papers. We do not guarantee passing the exam or admission, are not an official MIREA resource, and are not affiliated with the university. Materials are prepared with AI assistance and may contain errors. Terms are in the offer and privacy policy.