Year 7 Exploring and noticing

  • Almost One
    problem
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    Almost One

    Age
    11 to 14
    Challenge level
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    Choose some fractions and add them together. Can you get close to 1?

  • Climbing Complexity
    problem
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    Climbing Complexity

    Age
    11 to 14
    Challenge level
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    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • Shear Magic
    problem
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    Shear Magic

    Age
    11 to 14
    Challenge level
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    Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
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    If you move the tiles around, can you make squares with different coloured edges?

  • Litov's Mean Value Theorem
    problem
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    Litov's Mean Value Theorem

    Age
    11 to 14
    Challenge level
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    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

  • Square It
    problem
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    Square 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 square.

  • Countdown fractions
    problem
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    Countdown Fractions

    Age
    11 to 16
    Challenge level
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    Here is a chance to play a fractions version of the classic Countdown Game.

  • Parallelogram It
    problem
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    Parallelogram 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 parallelogram.

  • A Connect Four game with red and yellow counters placed.
    problem
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    Connect Three

    Age
    11 to 16
    Challenge level
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    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

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

    Age
    11 to 16
    Challenge level
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    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?