Symmetry

problem

Prime Magic

Age

7 to 16

Challenge level

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?
problem

Eight Dominoes

Age

7 to 16

Challenge level

Using the 8 dominoes, can you make a square where each of the columns and rows adds up to 8?
problem

Gibraltar Geometry

Age

11 to 14

Challenge level

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?
problem
Favourite

Reflecting Squarely

Age

11 to 14

Challenge level

In how many ways can you fit all three pieces together to make shapes with line symmetry?
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Favourite

Shady Symmetry

Age

11 to 14

Challenge level

How many different symmetrical shapes can you make by shading triangles or squares?
problem

Notes on a Triangle

Age

11 to 14

Challenge level

Can you describe what happens in this film?
problem
Favourite

Attractive Rotations

Age

11 to 14

Challenge level

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
problem

Troublesome Dice

Age

11 to 14

Challenge level

When dice land edge-up, we usually roll again. But what if we didn't...?
problem

Drawing Celtic Knots

Age

11 to 14

Challenge level

Here is a chance to create some Celtic knots and explore the mathematics behind them.
article
Frieze Patterns in Cast Iron

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.