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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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Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
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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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A napkin is folded so that a corner coincides with the midpoint of an opposite edge. Investigate the three triangles formed.
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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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A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
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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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Can you see how to build a harmonic triangle? Can you work out the next two rows?
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If a sum invested gains 10% each year how long before it has doubled its value?
