Exploring and noticing
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problemHow many ways can you find of tiling the square patio, using square tiles of different sizes? -
problemMagazines
Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.
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problemPebbles
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
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problemMy new patio
What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes? -
problemFavouriteRoll these dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
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problemPresents
We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use? -
problemBean bags for Bernard's bag
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
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problemFavouriteRound and round the circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
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problemFavouriteDomino square
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
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problemFavouritePrison cells
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?