Croatian National Competitions 2005

#CompetitionYearsProblemsYears
1Grade 91992–2026159
2Grade 101992–2026159
3Grade 111992–2026158
4Grade 121992–2026159

Documents

YearFilenameLanguageSource
2005drzavno_ss_2005_zad.pdfhr—
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ProblemSourceTags
Grade 9 2005 Problem 1Grade 9 2005DigitsDivisibilityNT
Grade 9 2005 Problem 2Grade 9 2005AnglesGeometryIncircleSimilarityTriangle
Grade 9 2005 Problem 3Grade 9 2005NTOptimizationRational
Grade 9 2005 Problem 4Grade 9 2005AnglesCircumcircleGeometryTriangle
Grade 10 2005 Problem 1Grade 10 2005AlgebraEqQuadratics
Grade 10 2005 Problem 2Grade 10 2005CircumcircleGeometryIncircleTriangle
Grade 10 2005 Problem 3Grade 10 2005AlgebraInequalitiesLog
Grade 10 2005 Problem 4Grade 10 2005CombinatoricsDivisibilityNT
Grade 11 2005 Problem 1Grade 11 2005EqFactorialNT
Grade 11 2005 Problem 2Grade 11 2005GeometryIncircleTangentTriangle
Grade 11 2005 Problem 3Grade 11 2005GeometryOptimization3D
Grade 11 2005 Problem 4Grade 11 2005ColoringCombinatoricsPolygon
Grade 12 2005 Problem 1Grade 12 2005RecurrencesSeqSums
Grade 12 2005 Problem 2Grade 12 2005AlgebraInequalitiesPolynomials
Grade 12 2005 Problem 3Grade 12 2005DigitsDivisibilityNTPowers
Grade 12 2005 Problem 4Grade 12 2005AnglesAreaGeometryOrthocenterQuad