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Double Digit
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?
Six Is the Sum
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Age 7 to 14
Challenge Level
These games follow on from Less is More.
Just as before, you will be able to choose between two versions of each game:
- In Version 1, you place the numbers after each throw of the dice.
- In Version 2:
Start by imagining that you have thrown the numbers 1-8 and provide a convincing argument that you have got the highest possible score - a clue is given in the hints.
Then, play the game just as you did in Version 1, but this time note down all eight dice rolls before deciding where to place them.
In all cases, you score if the sentence is correct. The score is the result of the calculation on the left of the inequality sign (blue boxes). See the hint for some examples of scoring.
Sum-sum
Take-take
Take-sum
Sum-take
You may wish to download and print this document, which contains five sets of blank cells for each of the above games.
This activity featured in an NRICH student webinar in November 2022.
NRICH is part of the family of activities in the Millennium Mathematics Project.