Year 8 Conjecturing and generalising

  • 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!

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level
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    Play around with sets of five numbers and see what you can discover about different types of average...

  • More Isometric Areas
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    More Isometric Areas

    Age
    11 to 14
    Challenge level
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    Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

  • Consecutive negative numbers
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    Consecutive Negative Numbers

    Age
    11 to 14
    Challenge level
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    Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

  • Charlie's delightful machine
    problem
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    Charlie's Delightful Machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Multiple Surprises
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • Cuboid challenge
    problem
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    Cuboid Challenge

    Age
    11 to 16
    Challenge level
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    What's the largest volume of box you can make from a square of paper?

  • Robotic Rotations
    problem
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    Robotic Rotations

    Age
    11 to 16
    Challenge level
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    How did the the rotation robot make these patterns?

  • Rhombus It
    problem
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    Rhombus It

    Age
    11 to 16
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.