Balancing 1

Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.

Balancing 3

Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.

Balancing 2

Stage: 3 Challenge Level:

Meg and Mo have been distracted from their game of Marbles by the balance on which they hang their pouches of marbles between games.

They discover that they can make their pouches balance with Meg's pouch $60$cm from the centre, and with $10$ marbles in Mo's pouch.

Use the interactivity to explore this further.

Full Screen Version
This text is usually replaced by the Flash movie.

Fill in the table below showing how many marbles Mo needs in her pouch to balance Meg's pouch when it is in various different places away from the centre.

 Meg Mo 60cm 10 marbles 30cm 90cm

Without using the interactivitiy, can you now work out how many marbles Mo would need in her pouch to balance with Meg's?

 Meg Mo 120cm 12cm 48cm 24cm 75cm

Try to explain how you worked it out.

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They take a break from playing with the balance to play another quick game of Marbles, after which they both have different numbers of marbles and someone has sneakily altered the balance.

They find that when they hang their pouches on the new balance, the two pouches balance when Meg has $12$ marbles, and Mo has her pouch $21$cm from the centre.

Use the interactivity to explore this further.

Full Screen Version
This text is usually replaced by the Flash movie.

This time, Mo is going to move her pouch as Meg adds and removes marbles from her own pouch. Fill in the table below to show where Mo needs to move her pouch.

 Meg Mo 12 marbles 21cm 24 marbles 16 marbles 8 marbles

Without using the interactivitiy, can you now work out where Mo would need to place her pouch to balance with Meg's?

 Meg Mo 30 marbles 15 marbles 2 marbles x marbles

Try to explain how you worked it out.