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| − | == Problem 1 ==
| + | #redirect [[Mock AIME I 2013 Problems]] |
| − | Two circles <math>C_1</math> and <math>C_2</math>, each of unit radius, have centers <math>A_1</math> and <math>A_2</math> such that <math>A_1A_2=6</math>. Let <math>P</math> be the midpoint of <math>A_1A_2</math> and let <math>C_#</math> be a circle externally tangent to both <math>C_1</math> and <math>C_2</math>. <math>C_1</math> and <math>C_3</math> have a common tangent that passes through <math>P</math>. If this tangent is also a common tangent to <math>C_2</math> and <math>C_1</math>, find the radius of circle <math>C_3</math>.
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| − | [[2013 Mock AIME I Problems/Problem 1|Solution]] | |
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| − | == Problem 2 ==
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| − | Find the number of ordered positive integer pairs <math>(a,b,c) such that </math>a<math> evenly divides </math>b<math>, </math>b+1<math> evenly divides </math>c<math>, and </math>c-a=10$.
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| − | [[2013 Mock AIME I Problems/Problem 2|Solution]]
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| − | == Problem 3 ==
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| − | [[2013 Mock AIME I Problems/Problem 3|Solution]]
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| − | == Problem 4 ==
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| − | [[2013 Mock AIME I Problems/Problem 4|Solution]]
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| − | == Problem 5 ==
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| − | [[2013 Mock AIME I Problems/Problem 5|Solution]]
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| − | ==Problem 6==
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| − | [[2013 Mock AIME I Problems/Problem 6|Solution]]
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| − | ==Problem 7==
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| − | [[2013 Mock AIME I Problems/Problem 7|Solution]]
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| − | == Problem 8 ==
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| − | [[2013 Mock AIME I Problems/Problem 8|Solution]]
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| − | ==Problem 9==
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| − | [[2013 Mock AIME I Problems/Problem 9|Solution]]
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| − | ==Problem 10==
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| − | [[2013 Mock AIME I Problems/Problem 10|Solution]]
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| − | == Problem 11 ==
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| − | [[2013 Mock AIME I Problems/Problem 11|Solution]]
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| − | == Problem 12 ==
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| − | [[2013 Mock AIME I Problems/Problem 12|Solution]]
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| − | == Problem 13 ==
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| − | [[2013 Mock AIME I Problems/Problem 13|Solution]]
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| − | == Problem 14 ==
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| − | [[2013 Mock AIME I Problems/Problem 14|Solution]]
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| − | ==Problem 15==
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| − | [[2013 Mock AIME I Problems/Problem 15|Solution]]
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