Illuminations: Clock Squares

Starting at 12:00 midnight, you wait a number of minutes that is a perfect square and then look at a digital clock. The number you see (with the colon removed) is also a perfect square.

What is the first time after midnight that this happens?

This brainteaser was written by Derrick Niederman.

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National Council of Teachers of Mathematics

Math Topics

Algebra & Pre-Algebra, Exponents & Square Roots, Measurement & Time

Middle School, High School

8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Math Puzzles, Square Numbers, Time

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Illuminations: Clock Squares

Starting at 12:00 midnight, you wait a number of minutes that is a perfect square and then look at a digital clock. The number you see (with the colon removed) is also a perfect square.

What is the first time after midnight that this happens?

This brainteaser was written by Derrick Niederman.

VIEW SOLUTION