Being curious

  • Negative 3 to the power of negative 3.
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    Negative Powers

    Age
    14 to 18
    Challenge level
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    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • Three by One
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    Three by One

    Age
    16 to 18
    Challenge level
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    There are many different methods to solve this geometrical problem - how many can you find?

  • Tangled Trig Graphs
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    Tangled Trig Graphs

    Age
    16 to 18
    Challenge level
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    Can you work out the equations of the trig graphs I used to make my pattern?

  • Areas and Ratios
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    Areas and Ratios

    Age
    16 to 18
    Challenge level
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    Do you have enough information to work out the area of the shaded quadrilateral?

  • Climbing Powers
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    Climbing Powers

    Age
    16 to 18
    Challenge level
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    Does it make any difference how we write powers of powers? 

  • Folium of Descartes
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    Folium of Descartes

    Age
    16 to 18
    Challenge level
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    Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

  • Next-door Numbers
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    Next-Door Numbers

    Age
    5 to 7
    Challenge level
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    Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
  • What's in a name?
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    What's in a Name?

    Age
    5 to 7
    Challenge level
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    Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

  • Street Sequences
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    Street Sequences

    Age
    5 to 11
    Challenge level
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    Investigate what happens when you add house numbers along a street in different ways.