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Can you find any two-digit numbers that satisfy all of these statements?
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Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?
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What do you notice about the sum of two identical triangular numbers?
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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
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Using your knowledge of the properties of numbers, can you fill all the squares on the board?
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Can you describe this route to infinity? Where will the arrows take you next?
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Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?
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Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?
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Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
