Euclid Contest 2015 - Study Guide

2015 Euclid Contest Study Guide

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• Problem 1

  Difference of squares, linear equation, function evaluation
• Problem 2

  Square roots, concentric circles, class averages
• Problem 3

  Equilateral triangle on a line, triangle area with coordinates
• Problem 4

  Intercepts of factored polynomials, cubic-quadratic intersection
• Problem 5

  Right triangle with equal sides, consecutive integer products
• Problem 6

  Circular disc sectors, inequalities
• Problem 7

  Rectangle area with congruent triangles, arithmetic-geometric sequences
• Problem 8

  Parabola-circle intersection, inscribed circles in isosceles triangle
• Problem 9

  Systems of logarithmic equations
• Problem 10

  Furoni families and combinatorics

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Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

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Problem 10

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Key Topics Covered