Working systematically
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problemOlympic Magic
in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?
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problemMagic W
Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
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problemTetrahedra Tester
An irregular tetrahedron is composed of four different triangles. Can such a tetrahedron be constructed where the side lengths are 4, 5, 6, 7, 8 and 9 units of length?
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problemTwin Line-Swapping Sudoku
A pair of Sudoku puzzles that together lead to a complete solution.
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problemThe Fastest Cyclist
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
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problemGridlines
How many triples of points are there in this 4×4 array that lie on a straight line?
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problemSymmetricality
Five equations and five unknowns. Is there an easy way to find the unknown values?
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problemFlipping Twisty Matrices
Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.
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