Number Operations and Calculation Methods

  • Twisting and Turning
    problem
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    Twisting and Turning

    Age
    11 to 14
    Challenge level
    2 out of 3

    Take a look at the video and try to find a sequence of moves that will untangle the ropes.

  • Weights
    problem
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    Weights

    Age
    11 to 14
    Challenge level
    2 out of 3

    Different combinations of the weights available allow you to make different totals. Which totals can you make?

  • Overlaps
    problem
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    Overlaps

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you find ways to put numbers in the overlaps so the rings have equal totals?

  • Impossibilities
    problem
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    Impossibilities

    Age
    11 to 14
    Challenge level
    2 out of 3

    Just because a problem is impossible doesn't mean it's difficult...

  • 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?

  • the greedy algorithm
    problem
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    The Greedy Algorithm

    Age
    11 to 14
    Challenge level
    3 out of 3

    The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

  • Countdown fractions
    problem
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    Countdown Fractions

    Age
    11 to 16
    Challenge level
    1 out of 3

    Here is a chance to play a fractions version of the classic Countdown Game.

  • More Twisting and Turning
    problem
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    More Twisting and Turning

    Age
    11 to 16
    Challenge level
    2 out of 3

    It would be nice to have a strategy for disentangling any tangled ropes...

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

    Age
    11 to 16
    Challenge level
    2 out of 3

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

  • Slick Summing
    problem
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    Slick Summing

    Age
    14 to 16
    Challenge level
    1 out of 3

    Watch the video to see how Charlie works out the sum. Can you adapt his method?