Creating and manipulating expressions and formulae

  • Christmas chocolates
    problem
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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
    problem
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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
    problem
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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?
    problem
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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
    problem
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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
    problem
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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
    problem
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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!

  • Fibs
    problem
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    Fibs

    Age
    11 to 14
    Challenge level
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    The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?
  • How Many Miles To Go?
    problem
    Favourite

    How Many Miles to Go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • problem
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    Marbles in a Box

    Age
    11 to 16
    Challenge level
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    How many winning lines can you make in a three-dimensional version of noughts and crosses?