Arrange the given numbers on the red squares to make a sum of three powers. Find the arrangement that produces a total of 105.
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Numeracy"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables." Secondary National Strategy, Mathematics at key stage 3 

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Level 1  Find the smallest possible total
Level 2  Find the largest possible total
Level 3  Find the arrangement that produces a total of 95
Level 4  Find the arrangement that produces a total of 97
Level 5  Find the arrangement that produces a total of 101
Level 6  Find the arrangement that produces a total of 102
Level 7  Find the arrangement that produces a total of 105
Level 8  Find the arrangement that produces a total of 107
Level 9  Find the arrangement that produces a total of 112
Level 10  Find the arrangement that produces a random total chosen by Transum when you load the page
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