Exploring and noticing
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problemFavouriteMarbles in a box
How many winning lines can you make in a three-dimensional version of noughts and crosses?
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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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problemFavouriteMagic potting sheds
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
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problemFavouriteConnect three
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
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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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problemFavouriteWipeout
Can you do a little mathematical detective work to figure out which number has been wiped out?
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problemFavouriteTriangle in a trapezium
Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
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problemFavouriteRhombus 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 rhombus.
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problemFavouriteShopping basket
The items in the shopping basket add and multiply to give the same amount. What could their prices be?