Visualising and representing
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Semi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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Triangle numbers
Take a look at the multiplication square. The first eleven triangle
numbers have been identified. Can you see a pattern? Does the
pattern continue?
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Swimming pool
In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?
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Vector walk
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
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Marbles in a box
How many winning lines can you make in a three-dimensional version of noughts and crosses?
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Painted cube
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
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Square it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.