Conjecturing and generalising
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problemIn this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest? -
problemFavouriteFour Go
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
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problemFavouriteLight the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?
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problemButton-up Some More
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
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problemFavouriteThis Pied Piper of Hamelin
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
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problemWalking the Squares
Find a route from the outside to the inside of this square, stepping on as many tiles as possible. -
problemFavouriteSix Ten Total
This challenge combines addition, multiplication, perseverance and even proof.
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problemBundles of Cubes
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle? -
problemTruth or Lie
Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?
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problemSeeing Rhombuses
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.