Being resourceful

  • Mystic Rose
    problem
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    Mystic Rose

    Age
    14 to 16
    Challenge level
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    Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.

  • problem
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    Simplifying Doughnut

    Age
    14 to 16
    Challenge level
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    Can you match up these equivalent algebraic expressions?

  • Mathsland National Lottery
    problem
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    Mathsland National Lottery

    Age
    14 to 16
    Challenge level
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    Can you work out the probability of winning the Mathsland National Lottery?

  • Which is bigger?
    problem
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    Which Is Bigger?

    Age
    14 to 16
    Challenge level
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    Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

  • Filling the gaps
    problem
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    Filling the Gaps

    Age
    14 to 16
    Challenge level
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    Which numbers can we write as a sum of square numbers?

  • Attractive Tablecloths
    problem
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    Attractive Tablecloths

    Age
    14 to 16
    Challenge level
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    Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

  • Odds and Evens made fair
    problem
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    Odds and Evens Made Fair

    Age
    14 to 16
    Challenge level
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    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

  • Difference of Two Squares
    problem
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    Difference of Two Squares

    Age
    14 to 16
    Challenge level
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    What is special about the difference between squares of numbers adjacent to multiples of three?

  • Multiplication arithmagons
    problem
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    Multiplication Arithmagons

    Age
    14 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

  • Puzzling Place Value
    problem
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    Puzzling Place Value

    Age
    14 to 16
    Challenge level
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    Can you explain what is going on in these puzzling number tricks?