Exploring and noticing
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problemFavouriteSpeeding up, slowing down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
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problemFavouriteRoute to infinity
Can you describe this route to infinity? Where will the arrows take you next?
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problemFavouriteTwisting and turning
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
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problemFour coloured lights
Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up? -
problemFavouriteNon-transitive dice
Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
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problemFavouriteWhat's the weather like?
With access to weather station data, what interesting questions can you investigate?
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problemFavouriteUnequal averages
Play around with sets of five numbers and see what you can discover about different types of average...
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problemFavouriteFibonacci surprises
Play around with the Fibonacci sequence and discover some surprising results!
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problemFavouriteTerminating or not
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?