Students often think of mathematics as a solitary pursuit. By offering students opportunities to collaborate mathematically, they can develop a positive mindset through sharing ideas and strategies, and working together to overcome obstacles that they might not be able to tackle alone.
Seven Squares and Marbles in a Box include solutions that have previously been submitted to NRICH, so students may wish to try these problems first and then compare their own approaches with the published ones. Then they could go on to try Mixing Lemonade and Steel Cables, which are open for them to submit their own solutions.
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Seven squares
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Marbles in a box
How many winning lines can you make in a three-dimensional version of noughts and crosses?
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