Creating and manipulating expressions and formulae

  • Beach Huts
    problem
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    Beach Huts

    Age
    11 to 14
    Challenge level
    1 out of 3

    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
    2 out of 3

    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?

  • Think of Two Numbers
    problem
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    Think of Two Numbers

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

  • More Number Pyramids
    problem
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    More Number Pyramids

    Age
    11 to 14
    Challenge level
    2 out of 3

    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

  • Christmas chocolates
    problem
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    Christmas Chocolates

    Age
    11 to 14
    Challenge level
    2 out of 3

    How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

  • Seven Squares
    problem
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    Seven Squares

    Age
    11 to 14
    Challenge level
    2 out of 3

    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • Temperature
    problem
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    Temperature

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Quadrilaterals in a Square
    problem
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
    2 out of 3

    What's special about the area of quadrilaterals drawn in a square?

  • Reversals
    problem
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    Reversals

    Age
    11 to 14
    Challenge level
    2 out of 3

    Where should you start, if you want to finish back where you started?