Being resourceful
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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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problemFavouriteOn the Edge
If you move the tiles around, can you make squares with different coloured edges?
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problemFavouriteSending a Parcel
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
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problemFavouriteSquare Coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
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problemFavouriteStars
Can you work out what step size to take to ensure you visit all the dots on the circle?
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problemFavouriteRight Angles
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
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problemFavouriteShapely Pairs
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
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problemFavouriteTwo's Company
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?