Year 10 Being resourceful

  • A Chance to Win?
    problem

    A chance to win?

    Age
    11 to 14
    Challenge level
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    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • Arithmagons
    problem

    Arithmagons

    Age
    11 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges?

  • Warmsnug Double Glazing
    problem

    Warmsnug double glazing

    Age
    14 to 16
    Challenge level
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    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • A little light thinking
    problem

    A little light thinking

    Age
    14 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

  • Last one standing
    problem

    Last one standing

    Age
    14 to 16
    Challenge level
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    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • Box plot match
    problem

    Box plot match

    Age
    14 to 16
    Challenge level
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    Match the cumulative frequency curves with their corresponding box plots.

  • What's Possible?
    problem

    What's possible?

    Age
    14 to 16
    Challenge level
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    Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

  • Attractive Tablecloths
    problem

    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?

  • Negatively Triangular
    problem

    Negatively triangular

    Age
    14 to 16
    Challenge level
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    How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
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    Can you work out which spinners were used to generate the frequency charts?