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Overlaps

11 to 14

Can you find ways to put numbers in the overlaps so the rings have equal totals?

problem

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Tumbling down

7 to 11

Watch this animation. What do you see? Can you explain why this happens?

problem

Surprising split

7 to 11

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

article

Symmetric tangles

14 to 16

The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!

article

This article for teachers discusses examples of problems in which there is no obvious method but in which children can be encouraged to think deeply about the context and extend their ability to think mathematically, especially geometrically.

article

Magic squares

14 to 18

An account of some magic squares and their properties and and how to construct them for yourself.

problem

Calendar patterns

7 to 11

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?

problem

Building tetrahedra

14 to 16

Can you make a tetrahedron whose faces all have the same perimeter?

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Favourite

Rolling around

11 to 14

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

problem

At the pumps

7 to 11

How will you find out how much a tank of petrol costs?

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Overlaps

Tumbling down

Surprising split

Symmetric tangles

Dice, routes and pathways

Magic squares

Calendar patterns

Building tetrahedra

Rolling around

At the pumps