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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Roll over the Dice

You will need a 5 by 5 square and a dice.

Place your dice in the top left hand corner.

Whatever number is on the top of the dice, write it down on the square.

Follow the green line on this grid as a route by rolling your dice, writing down the numbers on top of the dice as you move along. You can see in this video how it might be started. Have a good look at what's happening and then carry it on in a similar way.

When you've filled all 25 squares with numbers, EXPLORE!

What do you notice?

What little change can you make to the rules to explore again?## You may also like

### Counting Counters

### Cuisenaire Squares

### Doplication

Links to the University of Cambridge website
Links to the NRICH website Home page

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Age 7 to 11

Challenge Level

You will need a 5 by 5 square and a dice.

Place your dice in the top left hand corner.

Whatever number is on the top of the dice, write it down on the square.

Follow the green line on this grid as a route by rolling your dice, writing down the numbers on top of the dice as you move along. You can see in this video how it might be started. Have a good look at what's happening and then carry it on in a similar way.

When you've filled all 25 squares with numbers, EXPLORE!

What do you notice?

What little change can you make to the rules to explore again?

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?