Conjecturing and generalising
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problemFavouriteParallelogram It
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
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problemFavouriteTake Three From Five
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
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problemFavouriteTourism
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.
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problemFavouriteSums of Pairs
Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”
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problemFavouriteMore Twisting and Turning
It would be nice to have a strategy for disentangling any tangled ropes...
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problemFavouriteSearching for Mean(ing)
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
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problemFavouriteCuboid Challenge
What's the largest volume of box you can make from a square of paper?
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problemFavouriteWipeout
Can you do a little mathematical detective work to figure out which number has been wiped out?