Nordic Mathematical Contest

Results: 40



#Item
21Group theory / Function / Modular arithmetic / Quasigroup / Algebraic number field / Mathematics / Abstract algebra / Algebraic number theory

The 28th Nordic Mathematical Contest Monday, 31 March 2014 Problem set with solutions The time allowed is 4 hours. Each problem is worth 5 points. The only permitted aids are writing and drawing tools.

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Language: English - Date: 2014-03-31 14:58:34
22Coprime / Number theory / Circle / Triangle / Fibonacci number / Markov number / Geometry / Mathematics / Pi

The 22nd Nordic Mathematical Contest 31 March 2008 Solutions Time allowed is 4 hours. Each problem is worth 5 points. The only permitted aids are writing and drawing materials. Problem 1

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Language: English - Date: 2008-04-02 12:57:27
23Number theory / Elementary mathematics / Algebraic number theory / Coprime / Prime number / Greatest common divisor / Divisor / Integer / Mathematics / Abstract algebra / Elementary number theory

The 25th Nordic Mathematical Contest Monday 4 April 2011 English version The time allowed is 4 hours. Each problem is worth 5 points. The only aids permitted are writing and drawing tools.

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Source URL: www.georgmohr.dk

Language: English - Date: 2011-07-24 11:32:35
24Partial fractions

24th Nordic Mathematical Contest, 13th of April, 2010 Solutions of the problems 1. A function f : Z+ → Z+ , where Z+ is the set of positive integers, is non-decreasing and satisfies f (mn) = f (m)f (n) for all relative

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Source URL: www.georgmohr.dk

Language: English - Date: 2011-04-28 09:39:42
    25Elementary mathematics / Triangle geometry / Triangle / Triangles / Sine / Ordinal numbers / Angle / Ordinal arithmetic / Law of sines / Geometry / Mathematics / Trigonometry

    Solutions to the 2004 Nordic Mathematical Contest Problem 1 Let r be the number of balls in the red bowl, b be the number of balls in the blue bowl and y be the number of balls in the yellow bowl. Because the mean of the

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    Source URL: www.georgmohr.dk

    Language: English - Date: 2006-06-02 06:50:14
    26Integer / Ring theory / Mathematics / Elementary number theory / Algebraic number theory

    Version: English 24th Nordic Mathematical Contest 13th of April, A function f : Z+ → Z+ , where Z+ is the set of positive integers, is non-decreasing and

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    Language: English - Date: 2010-04-24 12:33:18
    27Sequence / Mathematics / Fibonacci numbers / Fibonacci

    18th Nordic Mathematical Contest Thursday April 1, 2004 Time allowed: 4 hours. Each problem is worth 5 points. Problem 1

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    Language: English - Date: 2006-06-02 06:49:58
    28Integer sequences / Algebraic number theory / Number theory / Combinatorics / Fibonacci number / Factorial / Exponentiation / Ring / Integer / Mathematics / Abstract algebra / Ring theory

    NORDIC MATHEMATICAL CONTEST PROBLEMS AND SOLUTIONS, 1987–2011 PROBLEMS The problems are identified as xy.n., whery x and y are the last digits of the competition year and n is the n:th problem of that year.

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    Source URL: www.georgmohr.dk

    Language: English - Date: 2011-10-20 11:27:18
    29Triangle geometry / Circumscribed circle / Triangle / Geometry / Triangles / Circles

    20th Nordic Mathematical Contest Thursday March 30, 2006 English version Time allowed: 4 hours. Each problem is worth 5 points. Problem 1. Let B and C be points on two fixed rays emanating from a point A such that AB + A

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    Language: English - Date: 2006-04-12 10:36:33
    30Binomial coefficient / Factorial / Number / Maths24 / COMPASS/Sample Code / Mathematics / Combinatorics / Integer sequences

    The 26th Nordic Mathematical Contest Tuesday, 27 March 2012 Solutions Each problem is worth 5 points. Problem 1. The real numbers a, b, c are such that a2 + b2 = 2c2 , and also such

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    Source URL: www.georgmohr.dk

    Language: English - Date: 2012-03-27 09:37:41
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