Why do this problem?

This problem will require learners to work systematically and involve trial and improvement. Learners will need to use addition and multiplication and some knowledge of factors and multiples.

Key questions

What number would be a good one to try first?

Does that number have factors that you have on the dice?

What is the highest number you could get when you add the scores of $4$ (or $5$) dice?

What is the highest number you could get when you multiply the scores of $4$ (or $5$) dice?

Possible extension

Learners could throw four or five real dice and add and multiply the scores obtained.

Possible support

Suggest listing the factors of suitable numbers such as $24$, $30$ and $48$ to start with.