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5 on the Clock Poster

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
  • Problem
  • Student Solutions

5 appears 170 times on the 24-hour clock, and the same number on the 12-hour clock

There are six times that the 5 is in the units of the minutes (eg 01:25) each hour, so 5x24 times over 24 hours (144).

The 5 appears in the tens of minutes (eg 12:50) 24 times in 24 hours.

The 5 appears in the hours section (eg 05:00) twice.

In total, that is 144+24+2 = 170 times

The answer is the same for the 12 hour clock, because there's just two 5 o'clocks instead of 05:00 and 15:00.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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