Egorov's Collection of Arithmetic Problems on Whole Numbers
by F. I. Egorov
Translated by Valery Manokhin, PhD
A graded problem book for the whole course of arithmetic in whole numbers, in first faithful English translation from the original Russian edition: 1,600 problems, with answers to 1,245 of them. It begins with numeration to a thousand, a million and beyond and with the meaning of the four operations, then works through written addition, subtraction, multiplication and division of multi-digit numbers, with its own sections on how a sum, difference, product and quotient change when their components change. Compound denominate numbers run alongside at every stage, followed by problems on time and on square and cubic measures, and a final set on all operations.
· 1600 exercises· 149 pages
Where this fits in school — US, UK and Canada ↓Adults and self-learners welcome — great mathematics has no age limit.
Where this fits in school
Full curriculum table — every book by school year →| United States | 3–5 | Whole-number arithmetic: place value, the four operations, measures — whole numbers only |
|---|---|---|
| England | Years 4–6 | KS2 number and measurement |
| Canada (Ontario) | Ontario 3–5 |
Not covered in this book
negative numbers · percentages · statistics and data handling · probability · metric units — the problems use pre-revolutionary Russian measures, with a conversion table
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →Problems to work alongside it
- Kiselev's Arithmetic$44.95
- Malinin & Burenin$44.95
- Rashevsky's Arithmetic$39.95
Table of contents
6 section headings — the printed contents page in full.
Translator's Preface
Table of Russian and metric measures
Numeration3 sections
- Up to a thousand
- Up to a million
- Above a million
Fundamental concepts of the operations3 sections
- Addition and subtraction
- Multiplication
- Division
With denominate numbers
Addition of multi-digit numbers
Subtraction of multi-digit numbers
Multiplication by a one-digit number
Division by a one-digit number
Multiplication by 10, 100, 1000, etc.
Division by 10, 100, 1000, etc.
Changes in a sum
Changes in a difference
Changes in a product
Changes in a quotient
Multiplication by numbers denoted by a significant digit with zeros
Division by numbers denoted by a significant digit with zeros
Multiplication by a multi-digit number
Division by a multi-digit number
Problems on all operations
Problems on time
With square and cubic measures
Answers
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $39.95 | — | Gumroad · Read online | Buy → |
| Paperback | $44.95 | 978-1-80910-062-7 | Amazon | Buy → |
| Hardcover | $69.95 | 978-1-80910-063-4 | Amazon | Buy → |
Prices are the publisher list prices. Amazon sets the final price in each store.
The digital edition is read online in the Gumroad reader. It is not a downloadable file.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- Print length
- 149 pages
- First published
- 2026-10-25
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
More in This Series

Rachinsky's 1001 Problems
by S. A. Rachinsky
US grades 4–8 · UK Years 5–9
1,001 carefully selected problems from the village schoolteacher whose students were depicted in Bogdanov-Belsky's famous 1895 painting "Mental Arithmetic."

Perelman's Entertaining Arithmetic
by Ya. I. Perelman
US grades 4+ · UK Year 5+
The classic of Russian popular mathematics. Puzzles, riddles, and curiosities that make arithmetic genuinely entertaining.

Markov: Probabilities
by Andrei A. Markov
US grades 12 and university · UK Year 13 and university
The foundational 1900 work on probability theory by the mathematician who gave us Markov chains. A modern annotated English translation.
