Prep for the MIREA master's entrance exam in mathematics: we work through 35 real past papers from 2010–2026, 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.
4Probability: a die is rolled n times — covariance✓
5Integral: ∫₀¹ (4x^¾√(21+4√x³) + …) dx✓
+ 34 more papers2010–2026, each with a step-by-step solution
dovuz-mirea.omnistudy.ru/course/exams/
35 papers, 2010–2026by year and exam stream, with «solved» marks
part B · hardODE18:42
Solve the equation and evaluate at a point:
f ′ = −f ⁵, f(0) = 1 → f(156) = ?
1Separate variables: df/f⁵ = −dx
2Integrate: −1/(4f⁴) = −x + C
3From f(0) = 1 we get C = −1/4
Answer: f(156) = 625−1/4
Numbers are regenerated on every run — the same goes for every topic in the course.
Complex numbers
Analytic geometry
Limits and derivatives
Integrals and Green's theorem
Differential equations
Which is better?
Board classes two hours from home or solutions + a trainer at your fingertips
A live walk-through at the board is useful. But your hand only gets trained when you solve problems yourself. So next to every walk-through we put a trainer: you drill the problem type until it becomes automatic.
In-person · at the board
In-person courses
≈ 17 000₽
per course · reference figure from public data
classes on a fixed schedule, ~3 hours
problems solved at the board
materials handed out in class
VS
24/7 access · at your own pace
OmniStudy
2990₽
one-time payment · lifetime access while the service runs
theory and walk-throughs at your own pace
trainer — you solve it yourself, 24/7
35 exam papers 2010–2026 with solutions
solutions follow the 2026 syllabus
About 5.7× cheaperA difference of roughly 14 000 ₽. And it isn't instead of the walk-through — the theory and solutions inside the course are step-by-step too.Start preparing
We compare formats, not quality: live walk-throughs are explained well — we simply add your own practice on top. In-person prices are a reference from public data and may vary.
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.
Years passed between your first year and the master'sIntegrals, series and ODEs faded long ago — and the entrance exam wants them back.
Thesis, work and the semester — all at onceOnly evenings and weekends are left for prep, so you need a route, not a pile of notes.
It's unclear what they even askThe syllabus is huge, and which problem types actually show up at MIREA is written nowhere.
You want to work at your own paceOne-to-one sessions run by the hour and on someone else’s schedule, while a hard topic needs revisiting as many times as it takes.
Ticked at least two? Then this is for you:35 worked past papers show what gets asked,
the trainer drills your hand, and the plan spreads it across your evenings.
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.
Warm-up, exam level, hard and hardcore. The numbers are random, the answers and
solutions are computed exactly — your hand gets trained on dozens of similar problems.
∫
11modules
Theory for the whole syllabus
From complex numbers to eigenvalues and residues — with formulas and graphics.
tg
262flashcards
Table values by heart
Derivatives, integrals, trigonometry — plus a quiz mode with multiple choice.
🧱Basics from scratchlogarithms, powers, trigonometry
7Seriesconvergence tests, power series, generating functionsΣaₙ
8ProbabilityBernoulli, de Moivre–Laplace, Bayes, the meeting problemP(A|B)
9Determinants and permutationsevaluation, properties, derangementsdet A
10Matrices and eigenvaluesspectrum, AB vs BA, max |Ax|Ax=λx
11Residues and Laurent seriescontour and improper integralsRes f
Real past papers
MIREA entrance exam papers
Inside the course — 35 real past papers 2010–2026 with step-by-step worked solutions for every problem and scans of the originals. The four 2026 papers were reconstructed from what the students who sat the exam on 4 August reported. A few papers and the 2026 syllabus can be opened right now.
Above are the papers open to everyone. All 35 papers 2010–2026 with step-by-step solutions and original scans are inside the course.Open all papers
Not only for MIREA
It's essentially a higher-mathematics trainer
The course is tailored to the MIREA master's entrance exam, but inside it's a full higher-math
trainer: limits, derivatives, integrals, series, probability, complex numbers, matrices —
with theory, worked solutions and endless practice. It also works for entrance exams at other
universities, or just to brush up on higher math. The practice simply happens to be built around
real MIREA papers.
Theory by topic — with formulas and graphicsTrainer: endless variants, exact answersPractice from warm-up to hard — with solutions
Prep roadmap
A route 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; how much time you spend on it is up to you — the route is a recommendation, not a requirement.
Plenty of time. You can cover everything deeply and go through each topic twice.
🌱What you can realistically cover: the whole syllabus plus revisionSix months is a huge margin — enough even from scratch, without rushing.
Months 1–2Analysis foundation
Month 3Geometry and complex numbers
Month 4The heavy part B
Month 5Probability, determinants, matrices, residues + first pass over the papers
A comfortable pace with a margin. ~12 weeks: you cover everything without rushing and revisit weak spots once.
🙂What you can realistically cover: the whole syllabus, unhurriedThree months is comfortable — the whole syllabus plus one pass over weak spots.
Weeks 1–3Analysis
Weeks 4–6Geometry, complex numbers, Green
Weeks 7–9Part B and probability
Weeks 10–11Past papers
A balanced 8-week route — from reviewing the basics to solving past papers against the clock.
😌What you can realistically cover: the syllabus and paper rehearsalsTwo months is the sweet spot: all the theory, practice and two rehearsals.
Week 1Limits
Week 2Derivatives + geometry
Week 3Integrals: areas
Week 4Green + complex numbers
A compressed pace: study on almost every day, with few days off.
💪What you can realistically cover: part A and most of part BIn a month this is achievable — if higher math isn't completely gone.
Week 1Analysis
Week 2Geometry, complex numbers, Green
Week 3Part B and probability
Week 4Past papers and rehearsals
Three weeks — tight, but realistic.
🎯What you can realistically cover: the core and the frequent problem typesThree weeks works if school-level math hasn't fallen apart.
Days 1–3Limits and derivatives
Days 4–7Integrals + geometry
Days 8–11Complex numbers, ODEs, series
Days 12–15Probability, determinants, matrices, residues
A sprint. There's time only for the high-yield topics.
⏳What you can realistically cover: the high-yield topicsThe whole syllabus from scratch in two weeks isn't realistic, and that's fine.
Days 1–4Limits and derivatives
Days 5–7Integrals and geometry
Days 8–11Part B, briefly
Days 12–14Rehearsal
We collect the maximum score on the frequent problems. Don't spread thin: depth on the key topics beats coverage.
🎯What you can realistically cover: part A and basic part BCovering the whole syllabus in 10 days isn't happening — but the frequent problem types are doable.
Days 1–5The core
Days 6–8ODEs + past papers
Days 9–10Finish
Rescue mode — honestly. You can't learn everything from scratch in a week, and that's normal.
🫶What you can realistically cover: the most frequent problemsA week from zero won't cover everything — honestly.
Days 1–4Only the frequent types
Days 5–6Papers and ODEs, minimum
Day 7Cheat sheet and sleep
What the first days of the intensive route look like:
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 live in your dashboard. Pick your pace, tick off finished days — the plan is remembered between visits.Get the plan
How to get access
Three steps to start preparing
1Sign up
An account on the site — a minute plus email confirmation.
→
2Pay
A one-time payment of 2990 ₽ — card, SBP or YooMoney via YooKassa. The fiscal receipt goes to your email.
→
3Access opens
A dashboard with the course, trainer and plan — usually right after the payment is confirmed.
Брала этот курс за 2 недели и курсы мирэа за 17 тыс. Именно этот сайт мне помог, тк разбираться самостоятельно в своем темпе и нарешивать нужные варианты намного продуктивнее, чем пытаться впихнуть семестр или год раздела матана за 3 часа лекции с преподом, читающим в его темпе. Знала бы об этом сайте раньше, не брала бы курсы от вуза. Никакой инсайдерской инфы у них нет, все полезное на общей консультации. Понравились карточки-шпаргалки и раздел с базой, где можно вспомнить школьную тригонометрию и прочие вещи, нужные для более высокоуровневого матана. Экз сдан хорошо, мои цели выполнены. Спасибо!
Read in full →
D
DanikLP
★★★★★
Сервис очень хороший, благодаря нему смог сдать вступительные в магистратуру МИРЭА. Материала много, практики тоже, но зато все понятно и по делу, без воды. Рекомендую этот сайт, если вам нужно подготовиться ко вступительный по высшей математике!
Read in full →
М
Мурат
★★★★★
Четкий сервис. За неделю до экза взял курс и получил экспресс план подготовки. Выглядит не плохо.
Read in full →
Гриша
★★★★★
Курс супер, 30 дней плана и разбор билетов — имба! Для набивания руки перед магистратурой МИРЭА самое то
Read in full →
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 →
No reviews match these filters — reset them.
Log in to leave a review — this is available to students with paid access.
Price
Access to the online MIREA master's prep course
2990₽
An online self-study course. Access lasts for as long as the service runs.
11 theory modules covering the entire higher-math syllabus
35 real MIREA master's papers 2010–2026 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
Same, in person with webinars, 4 months (56 academic hours)
28,500 ₽
Same, in person, 6 months (88 academic hours)
49,500 ₽
Maths tutor, one hour
from 700–800 ₽
Sources: podku.fa.ru,
profi.ru,
repetitors.info.
Prices are as of that date and may have changed. These are different formats: those involve scheduled
classes with a teacher, this is self-study with materials. We do not compare teaching quality and do not
claim this course replaces working with a teacher.
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.
Join our Telegram group
Announcements of new worked solutions, course updates and answers to your questions. Subscribe so you don't miss a thing.
Mon–Fri 10:00–19:00 (MSK), except non-working public holidays. The service is available around the clock; inquiries received outside business hours are handled on the next business day.
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 35 real MIREA past papers from 2010–2026, 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, no need to ask anyone. If the payment went through but access didn't open — tell our team and we'll sort it out.
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, automatically. If something went wrong with the payment — tell our team.
Are there examples of past MIREA master's exam papers?
Yes — the trainer includes complete worked solutions for 35 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 (2010–2026) — 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 35 genuine papers from 2010–2026, 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.
