🔥 Ready Complete worked solutions for 29 past papers (2010–2025) — already in the course! MIREA master's entrance exam

Pass MIREA higher math on your first try

Prep for the MIREA master's entrance exam in mathematics: we work through 29 real past papers from 2010–2025, drill the exact problem types you need to automatic mastery, and guide you along a plan tailored to your deadline — whether that's a week or half a year.

⏳ A plan tailored to your deadline — from a week to six months, step by step

📚 11 modules 📝 29 past papers ♾️ Practice trainer 📅 Flexible plan

Why learn everything under the sun? Use the course — no fluff, built around problems from past exam papers.

🎓 The course is tailored to MIREA, but it also works for self-study math prep for entrance exams at other universities.

Sound familiar?

The MIREA master's admission is close, but higher math has faded

Your diploma is around the corner, work and the semester eat up all your time, and nobody has cancelled the higher-math entrance exam. The course helps you drill the problem types you need on your own.

🥴

Higher math has faded

Years have passed between your first year and the master's program, and the exam again demands integrals, series and differential equations.

The exam is almost here

Time is tight, and the material covers the entire higher-math syllabus. Without a plan it's easy to drown and lose focus.

😰

Afraid of failing

It's unclear exactly what the MIREA math entrance exam will ask and what to prepare for first.

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Tutors are expensive

An hour with a tutor costs about half the price of the whole course — and you still get no system and no worked past papers.

What's inside

Everything you need to prep for the MIREA master's in higher mathematics

You get everything at once: theory and school-level fundamentals, real past papers and an endless practice trainer, flashcards, a cheat sheet and a plan — one coherent system, not scattered notes.

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11 theory modules

The entire entrance-exam syllabus — from complex numbers to eigenvalues and residues. Clear explanations with formulas and illustrative graphics.

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Foundations: school-level basics

Forgotten the basics? A dedicated review section: special-product formulas, powers, logarithms, trigonometry, progressions — with theory and a trainer.

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29 real past papers 2010–2025

Genuine MIREA past papers with step-by-step worked solutions for every problem and original scans — marked "solved".

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Practice trainer with levels

Endless variants for every topic: from 📖 warm-up and 🎯 exam-style to 🔥 hard and 💀 hardcore. The numbers are random, the answers and solutions are exact.

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Flashcards and quizzes

262 flashcards of table values that solve half of Part A: flip to check yourself, plus a quiz mode with multiple-choice answers.

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Cheat sheet

Every formula in the course on a single page — handy for a last review before the exam and printable as a PDF.

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A plan for your deadline

Pick how much time you have until the exam — six months, a month, 10 days, a week — and get a step-by-step route without the chaos.

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Dashboard with progress

See which topics are done and where you're still weak — real-time progress on every module, a calendar and achievements.

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Student leaderboard

Compete with your cohort: a leaderboard of solved problems keeps the pace up and stops you from quitting halfway.

How it looks

Take a look inside the course

Swipe through the previews on the left, view them large on the right. Click the large image to open it full screen.

Syllabus

Topics of the MIREA math entrance exam

Eleven topics cover the entrance-exam syllabus. For each one you get reference material, worked exam problems and independent practice.

Complex numbersnotation forms, De Moivre's formula, roots
Determinants and permutationsevaluation, properties, inversions
Matrices and eigenvaluesspectrum, AB vs BA, maximum of |Ax|
Analytic geometrylines, planes, distances, areas
Limitsequivalences, standard limits
Derivativesfunction analysis, extrema
Integralsantiderivatives, areas, Green's theorem
Differential equationsseparable, linear, Bernoulli, Riccati
Probability theoryBernoulli, De Moivre–Laplace, Bayes, the meeting problem
Seriesconvergence tests, power series, generating functions
Residues and Laurent seriescontour and improper integrals
Real past papers

MIREA entrance exam papers

Inside the course — 29 real past papers 2010–2025 with step-by-step worked solutions for every problem and original scans. A few papers and the 2026 syllabus can be opened right now.

Archive
2022

A real 2022 entrance exam paper — it shows how the exam topics repeat year after year. Worked solutions are inside the course.

📄 Open PDF →
Last year
2024

A real 2024 higher-math entrance exam paper — every problem is worked through with solutions in the course.

📄 Open PDF →
Last year
2025

A real 2025 paper (the course covers both known variants — 301-25 and 101-25) with full solutions.

📄 Open PDF →
What's coming in 2026
2026

The official 2026 entrance-exam syllabus: 5 problems, 120 minutes, all exam topics. This is exactly what we prepare for.

📄 Open PDF →

Above are the papers open to everyone. All 29 papers 2010–2025 with step-by-step worked solutions and scans are inside the course.

Study plan

A plan for your deadline — from a week to six months

Pick how much time is left before the exam, and get the right route: a relaxed six-month pace or a one-week rescue mode. Each day is short theory plus practice: about 20 minutes of study and 40 minutes of solving problems by hand.

🗓 Six months 📆 3 months 🗓 2 months 📅 1 month ⏳ 2 weeks ⚡ 10 days 🔥 1 week

Below is a sample of the first days of the intensive route.

1
Day 1 · week 1

Пределы: теория

Понятие предела и таблица эквивалентностей наизусть

  • Прочитать теорию модуля «Пределы»
  • Выписать и выучить таблицу эквивалентных бесконечно малых
2
Day 2 · week 1

Пределы: замечательные пределы

Первый и второй замечательные, неопределённости

  • Разобрать замечательные пределы и виды неопределённостей
  • Решить первые 4 задачи практики модуля
3
Day 3 · week 1

Пределы: билет 2025 №4

Предел с интегралом — асимптотика

  • Разобрать задачу 4 билета 2025 (предел с интегралом)
  • Дорешать практику модуля «Пределы»

Full plans for any deadline open in your personal dashboard right after you get access — pick yours and follow it.

How to get access

Three steps to start preparing

Sign up

Create an account on the site — it takes a minute.

Pay for access

Access to the course costs 2990 ₽. Online payment via YooKassa is being connected.

Get your dashboard

Once your payment is confirmed, your personal dashboard opens with the trainer and the plan.

Reviews

What students say

5.0
2 reviews
Year:
BattleCrow
Отличный курс для подготовки к вступительным в МИРЭА – всё по делу, без воды: разобрал реальные билеты за прошлые годы, а тренажёр с бесконечными задачами помог набить руку. Подойдёт студентам с любым уровнем знаний. Теория структурирована, а заниматься можно в своём темпе. Рекомендую, если хотите сдать вышмат без лишней нервотрёпки.
Read in full →
Кира
Взяла курс за месяц до вступительного, вышку почти не помнила. Теория короткая и по делу, а тренажёр реально вывозит - гоняешь тип задачи с новыми числами, пока не дойдёт. Разборы билетов помогли с определителями и рядами. Хотелось местами подробнее решения, но написала в тг - дополнили. Норм за свои деньги, если сам решаешь, а не просто читаешь.
Read in full →

Log in to leave a review — this is available to students with paid access.

Price

Access to the online MIREA master's prep course

comparable courses and tutorsfrom 5499 ₽
2990

In-person prep usually costs many times more. Here it's an online self-study course with lifetime access for as long as the service runs.

  • 11 theory modules covering the entire higher-math syllabus
  • 29 real MIREA master's papers 2010–2025 with worked solutions
  • A trainer with endless problem variants
  • A step-by-step prep plan for any deadline — from a week to six months
  • A personal dashboard with per-module progress
  • Achievements and a study calendar to keep you motivated
Get access

Pay by card, SBP or YooMoney via YooKassa. A fiscal receipt is sent to your email.

This is self-study: a site with theory and a trainer based on real examples from past exam papers. We do not guarantee passing the exam or admission, we are not an official MIREA resource, we are not affiliated with the university, we do not hold classes or assessments and do not issue educational certificates. The materials were prepared with the help of AI and may contain errors. Full terms are in the offer agreement and the privacy policy.

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Who's behind this

Team and contacts

A small team: message us on Telegram — that's the fastest — or use our shared email if your question needs a written reply.

Kira

Support assistant

Maxim

Sales manager

Dmitry

Course author

Q&A

Frequently asked questions about MIREA master's prep

What's included in the online MIREA master's prep trainer?
11 reference modules covering the higher-mathematics entrance-exam topics, complete worked solutions for 29 real MIREA past papers from 2010–2025, a trainer with endless problem variations, a 30-day study plan, and a personal dashboard that tracks your progress.
Which topics does the MIREA math entrance exam test?
Complex numbers, determinants and permutations, analytic geometry, limits, derivatives and function analysis, integrals (including line integrals and Green's theorem), differential equations, probability theory, series, matrices with eigenvalues, and residues. All eleven topics are available in the trainer, grounded in real past papers.
Is it realistic to prepare for the math master's exam in a month?
The syllabus is narrow and the topics repeat year after year. The plan is split into 30 days: 20 minutes of theory and 40 minutes of hands-on problem solving a day. With regular study that's usually enough to bring the required problem types to automatic mastery and run two full rehearsals. Your final result depends on your baseline — we can't guarantee passing or admission.
How do I get access to the trainer?
Create an account, confirm your email, and pay for access by card or via SBP — payment goes through YooKassa's secure page and access opens automatically. You can also message us on Telegram @dmitryace.
How much does it cost and how do I pay?
Access to the trainer is 2990 ₽. Pay by card, via SBP or with YooMoney on the YooKassa page — access opens right after payment. Or message us on Telegram @dmitryace.
Are there examples of past MIREA master's exam papers?
Yes — the trainer includes complete worked solutions for 29 real past papers, from 2010 to 2025 (variants 2-10, 3-12, 201-16, and the 2019, 2022, 2023, 2024 and 2025 series) — every problem with a step-by-step solution, an answer, and the original scan.
importantWhat will the 2026 MIREA math entrance exam look like?
Honestly: nobody has the actual 2026 papers yet. But MIREA has already published the official 2026 syllabus — it sets the topics and the exam structure: 120 minutes, 5 tasks (the first three are basic with a short answer, tasks 4–5 require a full solution). We prepare specifically for it and practice on real past papers (2010–2025) — that's a plus, not a minus: the syllabus is narrow and the topics repeat almost unchanged year to year. Inside the trainer there are reference sections (complex numbers, determinants, geometry, limits, derivatives, integrals, differential equations, probability, series), practice after every topic and an exam-format problem generator (random numbers, exact answers), step-by-step worked solutions of real papers, a 30-day plan and a personal dashboard with progress. I can't guarantee a specific score — that would be dishonest — but you drill exactly the problem types the exam tests.
importantCan I prepare for the MIREA math master's exam from scratch?
Yes. Each module starts with short theory and the tables you need to know by heart, then moves through practice from easy to exam level. Even if higher math faded after your first year, the 30-day plan rebuilds the needed skills step by step.
How is the trainer different from working with a tutor?
The trainer doesn't replace a teacher: it's a self-study service built around real MIREA past papers. It offers the whole syllabus, worked solutions for 29 genuine papers from 2010–2025, an endless practice trainer, and progress tracking in your dashboard — all available anytime, at your own pace.
importantHow does payment work?
Access to the trainer is 2990 ₽. Pay by card, via SBP or with YooMoney on YooKassa's side — the site never receives or stores your payment details, and the fiscal receipt arrives by email. Access opens automatically after payment.

Start preparing for the MIREA master's entrance exam today

There's still time to make it all in time if you prepare systematically and with real past papers.