Euclid Contest 2008 - Study Guide

2008 Euclid Contest Study Guide

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• Problem 1

  Perimeter, midpoints, and intersecting lines
• Problem 2

  Parabola properties and intersections
• Problem 3

  Number grid and area comparison
• Problem 4

  Trigonometry with triangles
• Problem 5

  Circle tangency and parabola vertex
• Problem 6

  Functional equations and arithmetic/geometric sequences
• Problem 7

  Averages of multiples and probability
• Problem 8

  Geometry with parallel lines and right triangles
• Problem 9

  Exponential and logarithmic equations
• Problem 10

  Counting downward-pointing triangles

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Problem 1

Problem 1(a)

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Problem 1(b)

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Problem 1(c)

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Problem 2

Each part refers to the parabola .

Problem 2(a)

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Problem 2(b)

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Problem 2(c)

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Problem 3

Problem 3(a)

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Problem 4

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Problem 5

Problem 5(a)

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Problem 5(b)

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Problem 6

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Problem 6(b)

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Problem 7

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Problem 7(b)

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Problem 8

Problem 8(a)

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Problem 8(b)

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Problem 9

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Problem 10

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Problem 10(b)

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Problem 10(c)

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Key Topics Covered