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This problem challenges you to sketch curves with different properties.

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Quadratic graphs are very familiar, but what patterns can you explore with cubics?

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This problem challenges you to find cubic equations which satisfy different conditions.

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Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

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Engage in a little mathematical detective work to see if you can spot the fakes.

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The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

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Here are two games you can play. Which offers the better chance of winning?

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Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?