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Clock Hands

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

Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Overlapping Circles

Age 7 to 11
Challenge Level

Can you describe the sides of the shapes you can make?

Do you notice anything about all the shapes you make using two circles the same size?

When the two circles are different sizes, what else is possible?

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