Year 8 Conjecturing and generalising

  • Fibonacci Surprises
    problem
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    Fibonacci Surprises

    Age
    11 to 14
    Challenge level
    2 out of 3

    Play around with the Fibonacci sequence and discover some surprising results!

  • More Isometric Areas
    problem
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    More Isometric Areas

    Age
    11 to 14
    Challenge level
    2 out of 3

    Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

  • Consecutive negative numbers
    problem
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    Consecutive Negative Numbers

    Age
    11 to 14
    Challenge level
    3 out of 3

    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
    1 out of 3

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

  • Multiple Surprises
    problem
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
    1 out of 3

    Sequences of multiples keep cropping up...

  • Searching for mean(ing)
    problem
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    Searching for Mean(ing)

    Age
    11 to 16
    Challenge level
    2 out of 3

    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

  • Cuboid challenge
    problem
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    Cuboid Challenge

    Age
    11 to 16
    Challenge level
    2 out of 3

    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
    2 out of 3

    How did the the rotation robot make these patterns?

  • Rhombus It
    problem
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    Rhombus It

    Age
    11 to 16
    Challenge level
    2 out of 3

    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.