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A Problem of Time

Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?

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Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

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Attractive Tablecloths

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Similar Perimeter

Age 14 to 16 Short Challenge Level:

To get a side length of 12, 
  • the side of length 3 could be enlarged by a scale factor of 4
  • the side of length 4 could be enlarged by a scale factor of 3
  • the side of length 6 could be enlarged by a scale factor of 2

The perimeter of triangle A is 3 + 4 + 6 = 13, so the possible perimeters of triangle B are 52, 39 and 26.
You can find more short problems, arranged by curriculum topic, in our short problems collection.