Working systematically
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problemHow many ways can you find of tiling the square patio, using square tiles of different sizes? -
problemWorms
Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?
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problemNewspapers
When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different? -
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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problemMy New Patio
What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
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problemDice and Spinner Numbers
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
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problemRoom Doubling
Investigate the different ways you could split up these rooms so that you have double the number. -
problemIt Figures
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all? -
problemBean Bags for Bernard's Bag
How could you put eight bean bags 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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problemWatch Your Feet
I like to walk along the cracks of the paving stones, but not the outside edge of the path itself. How many different routes can you find for me to take?