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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?

Eight Dominoes

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


The ten arcs forming the edges of the "holly leaf" are all arcs of circles of radius 1 cm. Find the length of the perimeter of the holly leaf and the area of its surface.

One Reflection Implies Another

Age 14 to 16
Challenge Level
Draw a strip which does have two vertical lines of symmetry.

Choose a particular point within the unit shape and mark that point on each unit along your strip.

Now look where that point reflects to across the first line of symmetry and where it reflects to across the second line of symmetry.