Describing patterns and sequences
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problemCan you go from A to Z right through the alphabet in the hexagonal maze? -
problemChain of changes
In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?
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problemThree ball line up
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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problemCaterpillars
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
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problemThe tomato and the bean
At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
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problemCircles, circles
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
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problemLawn border
If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time? -
problemBreak it up!
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
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problemStreet sequences
Investigate what happens when you add house numbers along a street in different ways.
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problemBirds in the garden
This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?