Scoring With Dice

Age
7 to 11
Challenge level

I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?

Problem



 

I have a handful of dice:

Scoring with Dice

I throw three of them and get 5, 3 and 2:

Scoring with Dice

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?