The SAT question from 1982 that stumped every student and the subsequent discovery of the correct answer.
Concepts
SAT: Standardized test used for college admissions in the US.
Circumference: The distance around a circle.
Revolution: A complete orbit around another body.
Sidereal Day: The time it takes for a star to be directly overhead again.
Content
The SAT question involved circles A and B, with circle A rolling around circle B.
Initially, the correct answer was thought to be three, but it was actually four due to the coin rotation paradox.
The concept of the distance traveled by the center of a circle being equal to the amount the circle has rotated.
The implications of the error on students' scores and the eventual rescoring of the exam.
Insights
The importance of precise wording in mathematical problems and standardized tests.
The application of the concept of circle rotation to astronomy and timekeeping.
The shift away from standardized testing in college admissions.
Key Points
The SAT question from 1982 had an incorrect answer due to the coin rotation paradox.
The correct answer was four revolutions for circle A.
The concept of distance traveled by the center being equal to the amount the circle has rotated.
Conclusion
The SAT question error highlighted the importance of clear wording in mathematical problems and the impact of standardized testing on students' opportunities.
Further Reading
Brilliant.org for interactive learning in math, science, and technology.
