Exploring and noticing

  • 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?

  • Forwards Add Backwards
    problem
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    Forwards add backwards

    Age
    11 to 14
    Challenge level
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    What happens when you add a three digit number to its reverse?

  • 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?

  • Half a minute
    problem
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    Half a minute

    Age
    11 to 14
    Challenge level
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    Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

  • 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?

  • Growing Surprises
    problem
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    Growing surprises

    Age
    11 to 14
    Challenge level
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    Can you find the connections between linear and quadratic patterns?

  • Polygon Rings
    problem
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    Polygon rings

    Age
    11 to 14
    Challenge level
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    Join pentagons together edge to edge. Will they form a ring?

  • Star Polygons
    problem
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    Star polygons

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

  • 3388
    problem

    3388

    Age
    11 to 14
    Challenge level
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    Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

  • 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?