Explaining, convincing and proving
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problemFavouriteAlways a Multiple?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
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problemFavouriteQuadrilaterals in a Square
What's special about the area of quadrilaterals drawn in a square?
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problemFavouriteOverlaps
Can you find ways to put numbers in the overlaps so the rings have equal totals?
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problemFavouriteGarden Shed
Can you minimise the amount of wood needed to build the roof of my garden shed?
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problemFavouriteImpossibilities
Just because a problem is impossible doesn't mean it's difficult...
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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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problemFavouriteThe Farmers' Field Boundary
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?