Articles
Studying mathematics independently: the error notebook method
An evidence-based practical system for independent study through classifying errors by cause, active recall, and spaced repetition.
Read more →Quadratic equation: solving with the discriminant and Vieta's theorem
A guide to reducing a quadratic equation to standard form, solving it with the discriminant or Vieta's theorem, and checking the roots independently.
Read more →Common fractions: simplifying, comparing, and the four operations
Rules for simplifying and comparing common fractions, and for addition, subtraction, multiplication, and division — with domain conditions and checked examples.
Read more →Percent problems: calculating a discount, a markup, and a percent of increase
Solving discounts, markups, an inverse price, and successive percent changes by the coefficient method: steps, checks, and an independent exercise.
Read more →Divisibility tests: rules for 2, 3, 4, 5, 9, 10 and 25
Rules for checking whether a number is a multiple of 2, 3, 4, 5, 9, 10 and 25 without performing division, with explanations, worked examples and an analysis of common mistakes.
Read more →EKUB, the greatest common divisor, and EKUK, the least common multiple: rules, the Euclidean algorithm, and examples
Methods for finding EKUB and the least common multiple using prime factorization and the Euclidean algorithm, applying them to practical problems, and checking answers independently.
Read more →DTM mathematics formulas: a core guide for the OTM entrance test
Core formulas for higher-education entrance tests: algebra, Vieta's theorem, progression, geometry, and trigonometry — with the condition of each formula and a checked example.
Read more →National certificate in mathematics: format, topics, and preparation plan
Preparing for the national certificate in mathematics using the official specification: task formats, a topic map, checked examples, and a diagnostic plan.
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