List

Geometry Stage 4

Fencing
problem

Fencing

Age
7 to 11
Challenge level
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Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Six Places to Visit
problem

Six places to visit

Age
7 to 11
Challenge level
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Can you describe the journey to each of the six places on these maps? How would you turn at each junction?
National Flags
problem

National flags

Age
7 to 11
Challenge level
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This problem explores the shapes and symmetries in some national flags.
Overlapping Again
problem

Overlapping again

Age
7 to 11
Challenge level
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What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

A Puzzling Cube
problem

A puzzling cube

Age
7 to 11
Challenge level
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Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Cut Nets
problem

Cut nets

Age
7 to 11
Challenge level
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Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Making Boxes
problem

Making boxes

Age
7 to 11
Challenge level
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Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Bracelets
problem

Bracelets

Age
7 to 11
Challenge level
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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?