Conjecturing and generalising
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problemCan you find an efficient method to work out how many handshakes there would be if hundreds of people met? -
problemMystic rose
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
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problemTower of Hanoi
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
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problemChristmas chocolates
How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?
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problemHow much can we spend?
A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
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problemCyclic quadrilaterals
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
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problemNice or nasty
There are nasty versions of this dice game but we'll start with the nice ones...
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problemStrike it out
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
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problemFix me or crush me
Can you make matrices which will fix one lucky vector and crush another to zero?