Being collaborative
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problemFavouriteCounting Factors
Is there an efficient way to work out how many factors a large number has?
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problemFavouriteWhere Can We Visit?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?
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problemFavouriteThink of Two Numbers
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
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problemFavouriteMore Number Pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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problemFavouriteShear Magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
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problemFavouriteCoordinate Patterns
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
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problemFavouritePeaches Today, Peaches Tomorrow...
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
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problemFavouriteStars
Can you work out what step size to take to ensure you visit all the dots on the circle?