Times

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

Clock Hands

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

Ten Green Bottles

Do you know the rhyme about ten green bottles hanging on a wall? If the first bottle fell at ten past five and the others fell down at 5 minute intervals, what time would the last bottle fall down?

Stuck in the Past

Stage: 2 and 3 Short Challenge Level:

2013 is the only year before 2015 in which each date will fall on the same day of the week as it did in 2002.
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 Year 2002 2003 2004 2005 2006 2007 2008 1st January Tue Wed Thu Sat Sun Mon Tue 2009 2010 2011 2012 2013 2014 2015 Thu Fri Sat Sun Tue Wed Thu
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So two of the years before 2015 start on a Tuesday. But each date has to fall on the same day and since 2008 is a leap year but 2002 wasn't, it must be excluded.

This problem is taken from the UKMT Mathematical Challenges.