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Age 7 to 11
Challenge Level
I have a handful of dice:
I throw three of them and get 5, 3 and 2:
Add the scores on the three dice. What do you get? Now multiply the scores. What do you get?
The next time I throw four of the dice and add and multiply the score as before.
This time the product is exactly 4 times the sum. What scores could I have thrown?
Again I throw four of the dice, adding and multiplying the scores as above. This time the product is exactly 5 times the sum. What scores could I have thrown?
For the last go I throw five of the dice and add and multiply the scores. The product is exactly 6 times the sum. What scores could I have thrown this time?
NRICH is part of the family of activities in the Millennium Mathematics Project.