Year 11 Being resourceful

  • How old am I?
    problem

    How old am I?

    Age
    14 to 16
    Challenge level
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    In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

  • Finding factors
    problem

    Finding factors

    Age
    14 to 16
    Challenge level
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    Can you find the hidden factors which multiply together to produce each quadratic expression?

  • In a box
    problem

    In a box

    Age
    14 to 16
    Challenge level
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    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • The Spider and the Fly
    problem

    The spider and the fly

    Age
    14 to 16
    Challenge level
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    A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?

  • Which is bigger?
    problem

    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?

  • Multiplication arithmagons
    problem

    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?

  • Perception versus reality
    problem

    Perception versus reality

    Age
    14 to 18
    Challenge level
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    Infographics are a powerful way of communicating statistical information. Can you come up with your own?