Creating and manipulating expressions and formulae

  • 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?

  • More Number Pyramids
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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...

  • Christmas chocolates
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    Christmas Chocolates

    Age
    11 to 14
    Challenge level
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    How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

  • Seven Squares
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    Seven Squares

    Age
    11 to 14
    Challenge level
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    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • Temperature
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    Temperature

    Age
    11 to 14
    Challenge level
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    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Always a multiple?
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
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    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Quadrilaterals in a Square
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
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    What's special about the area of quadrilaterals drawn in a square?

  • Reversals
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    Reversals

    Age
    11 to 14
    Challenge level
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    Where should you start, if you want to finish back where you started?

  • Fibonacci Surprises
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    Fibonacci Surprises

    Age
    11 to 14
    Challenge level
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    Play around with the Fibonacci sequence and discover some surprising results!

  • Regular Hexagon Loops
    problem

    Regular Hexagon Loops

    Age
    11 to 14
    Challenge level
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    Make some loops out of regular hexagons. What rules can you discover?