Dicey operations

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

How close can you get to the target? 

If you know how to add and subtract, you may enjoy these challenges. 

And when you're ready for multiplication and division challenges, you might like to look at More Dicey operations...

Click on the purple cog to select from the available options.

 

If you are working away from a computer, you could treat this as a game for two people, or play in two teams of two.

There are a couple of examples of games to choose from.

Find a partner and a 1-6 dice, or preferably a 0-9 dice if you have one. The interactivity in Dice and Spinners can be used to simulate throwing different dice.

Throw the dice. Each player decides where to place that number in their grid.
Continue until all the cells are filled.

Alternatively, collect all the numbers and then decide where to place them.

 

Game 1

Each player will need to draw an addition grid like this:
 

Image
Dicey Operations


Throw the dice nine times until all the cells are full.

Whoever has the sum closest to 1000 wins.

There are two possible scoring systems:

  • A point for a win. The first person to reach 10 wins the game.
  • Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.

You can vary the target to make it easier or more difficult.

 

Game 2

Each of you draw a subtraction grid like this:
 

Image
Dicey Operations


Throw the dice eight times until all the cells are full.

Whoever has the difference closest to 1000 wins.

There are two possible scoring systems:

  • A point for a win. The first person to reach 10 wins the game.
  • Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.
You can vary the target to make it easier or more difficult, perhaps including negative numbers as your target.
 

 

Click here for a poster of this problem.