Conjecturing and generalising
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problemFavouriteNim-7
Can you work out how to win this game of Nim? Does it matter if you go first or second? -
problemFavouriteBreak It Up!
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
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problemFavouriteGrowing Garlic
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
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problemHoles
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
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problemFavouriteStrike It Out
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
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problemFit These Shapes
What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes? -
problemFavouriteIp Dip
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
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problemFavouriteSorting Logic BLOCKS
This activity focuses on similarities and differences between shapes.