Visualising and representing
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problemSwap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible? -
problemMidpoint Triangle
Can you cut up a square in the way shown and make the pieces into a triangle? -
problemFavouriteSuper Shapes
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
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problemA Flying Holiday
Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point. -
problemFavouritePlenty of Pens
Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?
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problemFavouriteTrebling
Can you replace the letters with numbers? Is there only one solution in each case?
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problemFavouriteThe Deca Tree
Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
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problemColour Wheels
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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problemFavouriteOdd Squares
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
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problemPaw Prints
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?