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Rachinsky's 1001 Problems in Mental Arithmetic
This book is 100% completeLast updated on 2026-03-28
What if mathematics trained the mind instead of the hand? 1001 Problems for Mental Calculation is the first complete English translation of Sergey Rachinsky’s classic, a remarkable collection of problems designed to build number sense, mental discipline, and real mathematical thinking.
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About
About the Book
🧠 1001 Problems for Mental Calculation
The Lost Russian System That Trained Mathematical Thinking
What if children could solve problems like this in their heads?
(102+112+122+132+142)/365=?(102+112+122+132+142)/365=?
No calculator.
No written steps.
Just thinking.
This is not a trick.
This is how mathematics used to be taught.
1001 Problems for Mental Calculation by Sergey Rachinsky is one of the most overlooked classics of Russian mathematical education.
Written by a former Moscow University professor who left academia to teach peasant children, this book embodies a radically different philosophy of learning:
Train the mind, not the hand.
Develop intuition, not procedures.
Solve, don’t memorize.
These are not ordinary exercises. They are designed to build pattern recognition, decomposition skills, number sense, and mental discipline. There is no hand-holding here. The problems are meant to make you think.
This book will appeal to parents who want their children to develop real mathematical strength, to students tired of mechanical school math, to adults who want to rebuild their numerical intuition, and to anyone interested in the traditions that shaped serious Russian mathematical training.
This English edition provides a faithful translation of Rachinsky’s original work, presented in a clean modern format while preserving the rigor, structure, and spirit of the source.
This is not a beginner workbook.
This is not step-by-step tutorial math.
This is training.
Modern education optimizes for memorization, procedure, and exam performance. Rachinsky optimized for something else: thinking, insight, and mental strength.
That difference matters.
If you care about mathematics not as button-pressing, but as a discipline of the mind, this book is for you.
Author
About the Author
Valery Manokhin
Valery Manokhin (PhD, MBA, CQF) is a data scienstist, machine learning researcher and book author. He earned his PhD in ML at Royal Holloway, University of London, under Prof. Vladimir Vovk, the creator of Conformal Prediction, and holds an MBA from Warwick and an MSc in Computational Statistics & Machine Learning from UCL.
His technical books — Mastering Modern Time Series Forecasting and Applied Conformal Prediction among them — are used by data scientists, ML engineers, and researchers in over 100+ countries.
In parallel, he produces English editions of classic Russian mathematics textbooks, beginning with Kiselev’s Arithmetic and now Algebra, Part I. The aim is straightforward: give English-speaking students access to the books that shaped generations of Russian mathematicians, in editions that match the originals’ rigour.
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