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How many moves does it take to swap over some red and blue frogs? Do you have a method?
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In how many ways can you fit all three pieces together to make shapes with line symmetry?
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How many different symmetrical shapes can you make by shading triangles or squares?
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My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
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What do you notice about the sum of two identical triangular numbers?
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Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
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Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
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Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
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Are these games fair? How can you tell?
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
