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Can all unit fractions be written as the sum of two unit fractions?
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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
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A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
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Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
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Can you find a way to identify times tables after they have been shifted up or down?
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Invent a scoring system for a 'guess the weight' competition.
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Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
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Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
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Engage in a little mathematical detective work to see if you can spot the fakes.
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Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
