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| ==Problem 1== | | ==Problem 1== |
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| What is the value of
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| <imath>\sqrt{6-2{\sqrt{5}}}+\sqrt{6+2{\sqrt{5}}}</imath>?
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| <imath>\textbf{(A)} ~2 \qquad\textbf{(B)} ~\sqrt{5} \qquad\textbf{(C)} ~2\sqrt{5} \qquad\textbf{(D)} ~4\sqrt{5} \qquad\textbf{(E)} ~12</imath>
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| [[2025 AMC 10B Problems/Problem 1|Solution]]
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| ==Problem 2== | | ==Problem 2== |
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| The residents of Mathville grow special types of fruit, afs, efs, ifs, ofs, and ufs. <imath>2</imath> afs weigh as much as <imath>3</imath> efs, <imath>5</imath> ifs weigh as much as <imath>6</imath> ofs, and <imath>7</imath> ofs weigh as much as <imath>8</imath> ufs. Considering that <imath>11</imath> afs are equivalent to the weight of <imath>13</imath> ufs, about how many efs would amount to the weight of <imath>1</imath> if?
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| <imath>\textbf{(A)} ~\frac{1}{2} \qquad\textbf{(B)} ~\frac{3}{4} \qquad\textbf{(C)} ~\frac{5}{4} \qquad\textbf{(D)} ~\frac{3}{2} \qquad\textbf{(E)} ~\frac{7}{4}</imath>
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| [[2025 AMC 10B Problems/Problem 2|Solution]]
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| ==Problem 3== | | ==Problem 3== |
Latest revision as of 19:10, 10 November 2025
2025 AMC 10B (Answer Key)
Printable versions: Wiki • AoPS Resources • PDF
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Instructions
- This is a 25-question, multiple choice test. Each question is followed by answers marked A, B, C, D and E. Only one of these is correct.
- You will receive 6 points for each correct answer, 2.5 points for each problem left unanswered if the year is before 2006, 1.5 points for each problem left unanswered if the year is after 2006, and 0 points for each incorrect answer.
- No aids are permitted other than scratch paper, graph paper, ruler, compass, protractor and erasers (and calculators that are accepted for use on the SAT if before 2006. No problems on the test will require the use of a calculator).
- Figures are not necessarily drawn to scale.
- You will have 75 minutes working time to complete the test.
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| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
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Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
See Also
These problems are copyrighted © by the Mathematical Association of America. 
