Gold Bars


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(ref.: Mathematical challenges for able pupils in Key Stages 1 and 2)

  You and your two friends go on a treasure hunt and after a long search you find three piles of gold bars.

 

 

So that you can share the gold fairly, how many bars would you have to move to make 3 equal piles?

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If you had the same number of bars in four piles, how could you arrange them so you still had to move 2 bars to make the piles equal?

Could you make up a problem where you would have to move 4 gold bars?

If the bars were worth £100, £10 or £1, how much could they be worth altogether?

Can you describe the piles you can see to a friend who cannot see them so they can use brick to arrange the piles in the same way?

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Key Stage 2 : The Tower of Hanoi (Smile ‘Mathematical Puzzles’)

There is a pile of discs on a pole that have to be moved onto another pole.

The discs can only be moved one at a time and a larger disc can never be placed on top of a smaller disc.