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IMSO 2021 Mathematics - International Short Answer Question 13

IMSO Maths · IMSO 2021 Mathematics - International Short Answer

Question 13

The numbers $1$ to $6$ are printed on the six faces of each of seven cubes, and the numbers on any two opposite faces sum to $7$. Arrange the seven cubes as shown below so that the numbers on any two touching faces sum to $8$. What number does the star on the upper face of the topmost cube represent?

Question illustration