AMC sphere problems
21 past AMC problems use sphere. 10 come from the AMC 10 and 11 from the AMC 12.
Picks a problem you have not seen, at about the difficulty you are handling.
Problems
Newest contests first. Every problem opens with its answer choices, hints and a worked solution.
- 2023 AMC 10B · Problem 20
- 2021 Fall AMC 10A · Problem 3
- 2021 Fall AMC 10A · Problem 22
- 2019 AMC 10A · Problem 21
- 2019 AMC 12A · Problem 18
- 2018 AMC 12B · Problem 23
- 2017 AMC 10A · Problem 11
- 2017 AMC 12A · Problem 8
- 2014 AMC 10B · Problem 23
- 2014 AMC 12A · Problem 17
- 2014 AMC 12B · Problem 19
- 2013 AMC 10A · Problem 22
- 2013 AMC 12A · Problem 18
- 2007 AMC 10A · Problem 21
- 2005 AMC 12A · Problem 22
- 2005 AMC 12B · Problem 16
- 2004 AMC 10A · Problem 25
- 2004 AMC 12A · Problem 22
- 2004 AMC 12B · Problem 19
- 2003 AMC 10B · Problem 17
- 2003 AMC 12B · Problem 13
Back to all geometry problems.