Conjecturing and generalising
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Multiplication square
Pick a square within a multiplication square and add the numbers on each diagonal. What do you notice?
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Real statistics
Have a look at this table of how children travel to school. How does it compare with children in your class?
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More twisting and turning
It would be nice to have a strategy for disentangling any tangled ropes...
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Power mad!
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
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Diminishing returns
How much of the square is coloured blue? How will the pattern continue?
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Follow the numbers
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.
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Largest even
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
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Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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Of all the areas
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?