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Can you create a Latin Square from multiples of a six digit number?
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A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
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Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?
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It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
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Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
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An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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Can you see how to build a harmonic triangle? Can you work out the next two rows?
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Can you find an efficent way to mix paints in any ratio?
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Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
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What is the same and what is different about these circle questions? What connections can you make?
