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Kenguru Matematikai Verseny (Kangaroo Mathematics Competition) is an international, single-session math contest for students of primary and secondary school levels. It emphasizes logical thinking, problem-solving creativity, and enjoyable puzzles rather than rote computation.
| Feature | Kenguru Matematika Verseny | IMO / National Olympiad | |---------|----------------------------|--------------------------| | Target audience | All students (grades 1–12) | Elite <1% of students | | Problem format | Multiple choice (5 options) | Open-ended proofs | | Scoring | Partial + negative for wrong | Full for correct; partial for incomplete proofs | | Time pressure | Moderate (75 min for 24 problems) | Extreme (4.5 hours for 3 problems) | | Curriculum alignment | Low (emphasizes logic) | High (advanced theorems) | | Prize structure | Participation certificates, small toys | Medals, university admissions boost | kenguru matematika verseny
A 4×4 square grid has some unit squares shaded so that each row contains exactly two shaded squares and each column contains exactly two shaded squares. What is the maximum possible number of shaded squares that can be in the same 2×2 sub-square? What is the maximum possible number of shaded