Learning to Collaborate

You might think of mathematics as a solitary pursuit, but in fact, many mathematical breakthroughs have been made by people working together to solve problems that they couldn't tackle alone. The problems in this collection include suggestions of multiple ways to think about the mathematics, so why not try an approach that you might not usually think of? If you have someone else to work with on the problems, even better!

Seven Squares and Marbles in a Box include solutions that have previously been submitted to NRICH, so you may wish to try these problems first and then compare your approach with the published ones. Then try Mixing Lemonade and Steel Cables, and send us your solutions!

Seven Squares

Age 11 to 14 Challenge Level:

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Marbles in a Box

Age 11 to 16 Challenge Level:

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Mixing Lemonade

Age 11 to 14 Challenge Level:

Can you work out which drink has the stronger flavour?

Steel Cables

Age 14 to 16 Challenge Level:

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?