A clean, modern, high-quality educational printable A4 worksheet layout for 6th-grade mathematics with two main sections: Block 1 and Block 2. Overall Style: Minimalist, modern Russian textbook design, clean white background, friendly educational illustrations showing real-world applications (like prime factors as building blocks/Lego bricks, Venn diagrams for GCD/LCM, and a cute cartoon city bus for schedule sync). Top Section: - Header: "Блок 1. Разложение на простые множители" - "Зачем это нужно?": Visual metaphor showing numbers built from fundamental prime 'atomic bricks' (Lego-style prime numbers 2, 3, 5, 7). - Short theory box with the step-by-step division tree example for 84 (84 = 2² · 3 · 7). - Clean exercise list divided into Level 1, Level 2, Level 3 (unsolved exercises with clean blank answer spaces/checkboxes). Bottom Section: - Header: "Блок 2. НОД и НОК через разложение" - "Зачем это нужно?": A visual Venn diagram intersecting prime sets, plus a cute mini illustration of two city buses labeled '24 мин' and '36 мин' meeting at a stop. - Theory snippet: clear rules for GCD (НОД) and LCM (НОК). - Clean exercise list divided into Level 1 (НОД), Level 2 (НОК), Level 3, and Level 4 (прикладная задача). - Small discrete upside-down or bottom footer 'Ответы для самопроверки' box. Clear Russian typography, sharp graphic design, perfect structure for classroom printing.
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