Being curious

  • Number Daisy
    problem
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    Number daisy

    Age
    11 to 14
    Challenge level
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    Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

  • Add to 200
    problem
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    Add to 200

    Age
    11 to 14
    Challenge level
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    By selecting digits for an addition grid, what targets can you make?

  • About Average
    problem
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    About average

    Age
    11 to 14
    Challenge level
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    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Beach Huts
    problem
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    Beach huts

    Age
    11 to 14
    Challenge level
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    Can you figure out how sequences of beach huts are generated?

  • Legs Eleven
    problem
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    Legs eleven

    Age
    11 to 14
    Challenge level
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    Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

  • Where can we visit?
    problem
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    Where can we visit?

    Age
    11 to 14
    Challenge level
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    Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

  • 1 Step 2 Step
    problem
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    1 step 2 step

    Age
    11 to 14
    Challenge level
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    Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

  • Think of Two Numbers
    problem
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    Think of two numbers

    Age
    11 to 14
    Challenge level
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    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

  • Farey Sequences
    problem
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    Farey sequences

    Age
    11 to 14
    Challenge level
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    There are lots of ideas to explore in these sequences of ordered fractions.

  • More Number Pyramids
    problem
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    More number pyramids

    Age
    11 to 14
    Challenge level
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    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...