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### Number and algebra

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### Advanced mathematics

# Counters

### Bracelets

### Square Corners

### First Connect Three

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Counters are a great resource that we can use in mathematics in a number of ways, for example to show patterns, to model our thinking or to keep track of moves. We have put together a number of activities that all use counters - can you work out the different ways in which the counters are used? Can you find some ways which aren't mentioned? Are there examples where stones or pebbles or â€¦ would
be just as good? Are there examples where the roundness of the counter matters? Are there examples where lots of the same thing is important?

Age 7 to 11

Challenge Level

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Age 7 to 11

Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Age 7 to 11

Challenge Level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?