Malinin and Burenin's Collection of Arithmetic Problems
by A. Malinin & K. Burenin
Translated by Valery Manokhin, PhD
3,807 problems with a complete answer key — the problem collection that accompanies Malinin and Burenin's arithmetic textbook, and the exercises Imperial Russian students worked through alongside the theory. First complete English translation from the original Russian edition.
· 3807 exercises
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 | 5–8 | Problem companion to Grade 6–7 math |
|---|---|---|
| United Kingdom | Years 6–9 | KS2–KS3 · GCSE Foundation |
| Canada | Ontario 5–8 | QC Elementary 5 – Secondary II |
Not covered in this book
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
Table of contents
51 section headings — the printed contents page in full.
Numeration2 sections
- § 1. Verbal numeration.
- § 2. Written numeration.
Operations with Whole Numbers9 sections
- § 3. Addition.
- § 4. Subtraction.
- § 5. The use of parentheses in addition and subtraction.
- § 6. Changes in a sum and a difference.
- § 7. Multiplication.
- § 8. Division.
- § 9. Changes in the product and quotient.
- § 10. The use of parentheses in multiplication and division.
- § 11. General problems on all four operations.
Compound Denominate Numbers7 sections
- § 12. Reduction.
- § 13. Conversion.
- § 14. Addition.
- § 15. Subtraction.
- § 16. Multiplication.
- § 17. Division.
- § 18. General problems on all operations with compound denominate numbers.
On Divisors4 sections
- § 19. Prime and composite numbers.
- § 20. Tests of divisibility of numbers.
- § 21. Decomposition of numbers into prime factors; finding all exact divisors of a given number.
- § 22. Greatest common divisor and least common multiple of several numbers.
Common Fractions9 sections
- § 23. Proper and improper fractions; increase and decrease of fractions.
- § 24. Finding parts of a whole and the whole from given parts.
- § 25. Reduction of fractions and bringing them to a common denominator.
- § 26. Reduction and conversion of fractional compound numbers.
- § 27. Addition.
- § 28. Subtraction.
- § 29. Multiplication.
- § 30. Division.
- § 31. Problems on all operations with fractions.
Decimal Fractions6 sections
- § 32. Numeration of decimal fractions; increasing and
- § 33. Addition and subtraction.
- § 34. Multiplication.
- § 35. Division.
- § 36. Conversion of common fractions into decimals and back.
- § 37. Problems on all operations with common and decimal fractions.
Continued Fractions2 sections
- § 38. Conversion of continued fractions into common fractions.
- § 39. Conversion of common fractions into continued fractions.
Ratios2 sections
- § 40. Arithmetical ratio.
- § 41. Geometrical ratio.
Proportions2 sections
- § 42. Arithmetical proportion.
- § 43. Geometrical proportion.
Rule of Three8 sections
- § 44. Simple Rule of Three.
- § 45. Compound rule of three.
- § 46. The rule of percentages.
- § 47. Rule for discounting bills.
- § 48. Chain rule.
- § 49. Rule of partnership,
- § 50. Rule of mixture.
- § 51. Problems involving all the arithmetical operations.
Answers and Solutions
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Paperback | $49.94 | 978-1-919012-48-3 | Amazon | Buy → |
| Hardcover | $74.95 | 978-1-919012-49-0 | Amazon | Buy → |
Prices are the publisher list prices. Amazon sets the final price in each store.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- First published
- 2026-08-19
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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