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Roll These Dice

Age 7 to 11
Challenge Level Yellow starYellow star
Primary curriculum
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Printable NRICH Roadshow resource

Red dice with 4 dots on the top; green dice with 3 dots on the top; red dice with five dots on the top
 

In this activity, you will need two dice that are the same and one that is different. We have chosen two red dice and one green dice.

We are going to roll the dice and add up the numbers on the two red dice, then subtract the number on the green dice.

In the picture above, the number on one red dice is $4$ and the number on the other red dice is $5$, with the number on the green dice being $3$. We add together $4$ and $5$ to make $9$ and then subtract the $3$ which gives us a final answer of $6$.

You'll need to roll your dice many times and see what numbers you make each time after doing the addition and subtraction.

It would be good to find out:

  • what are the final answers by doing the addition and subtraction each time?
  • what are all the different possible numbers?
  • is there a good way of making sure you find them all?
  • how will you record what you've found out?

Now have a go!

Look at your results and write down some questions that you could ask about them. For example, do any of them have the same answers? If so, why?


Then you could ask yourself, "I wonder what would happen if, instead, I ...?''

Related Collections

  • Playing with Dice

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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Domino Square

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

4 Dom

Use these four dominoes to make a square that has the same number of dots on each side.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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