A cube is placed with one face on square 1 in the maze shown, so that it completely covers the square with no overlap. The upper face of the cube is covered in wet paint. The cube is then ‘rolled’ around the maze, rotating about an edge each time, until it reaches square 25. It leaves paint on all of the squares on which the painted face lands, but on no others. The cube is removed on reaching the square 25. What is the sum of the numbers on the squares which are now marked with paint?
Select one option, then click Submit.
78
80
82
169
625
Select an option, then submit.
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Senior Mathematical Challenge 2012 (2012)
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