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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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Holly

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.

A Roll of Patterned Paper

Age 14 to 16 Challenge Level:

Draw different simple blocks and just rotate them to see what happens.

Make adjustments until you get 'no-change' at rotation.

Similarly with reflection : just start with anything ('simple' will help) and adjust.


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.
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