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Secondary Live Problems and Recent Solutions

Each time you visit the NRICH site there will be some activities which are 'live'. This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article.

The last day for submitting solutions to the live problems is Friday 27 March.

Live problems

  • Unequal Averages
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    Unequal Averages

    Age
    11 to 14
    Challenge level
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    Play around with sets of five numbers and see what you can discover about different types of average...

Recently solved problems

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    Simplifying Doughnut

    Age
    14 to 16
    Challenge level
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    Can you match up these equivalent algebraic expressions?

  • Negative 3 to the power of negative 3.
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    Negative Powers

    Age
    14 to 18
    Challenge level
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    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • Multiple Surprises
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • More Less is More
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    More Less Is More

    Age
    7 to 14
    Challenge level
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    In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.