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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Tricky Track

#### RULES

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### Roll These Dice

### Stop or Dare

### Game of PIG - Sixes

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Links to the NRICH website Home page

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Age 7 to 11

Challenge Level

You need twelve counters and two ordinary $1$-$6$ dice for this activity.

Draw out a board like this (you may find that squared paper is useful!):

**Or,** you can print it off here: pdf .

Place one of the twelve counters on each of the squares numbered $1$ to $12$.

Roll the dice and add together the two numbers shown.

Move the counter on that numbered square one box to the right.

Now roll the dice again and repeat this, each time moving the counter on that "row" one box to the right.

Which counter reaches the purple box first?

Is this what you would expect?

Play a few more times and make a note of which counter reaches the end of its row first.

Can you explain why you get these results?

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?