Simultaneous equations

  • A cardboard carton of cherries.
    problem
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    Fruity Totals

    Age
    7 to 16
    Challenge level
    1 out of 3

    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • What's it worth?
    problem
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    What's It Worth?

    Age
    11 to 16
    Challenge level
    1 out of 3

    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Arithmagons
    problem
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    Arithmagons

    Age
    11 to 16
    Challenge level
    1 out of 3

    Can you find the values at the vertices when you know the values on the edges?

  • Warmsnug Double Glazing
    problem
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    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
    1 out of 3

    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • Which is cheaper?
    problem
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    Which Is Cheaper?

    Age
    14 to 16
    Challenge level
    1 out of 3

    When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

  • CD Heaven
    problem
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    CD Heaven

    Age
    14 to 16
    Challenge level
    2 out of 3

    All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?

  • Matchless
    problem
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    Matchless

    Age
    14 to 16
    Challenge level
    2 out of 3

    There is a particular value of x, and a value of y to go with it, which make all these five expressions equal in value. Can you find that x, y pair?

  • Small pepper seedlings in orange pots.
    problem
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    Negatively Triangular

    Age
    14 to 16
    Challenge level
    2 out of 3

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

  • Which is bigger?
    problem
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    Which Is Bigger?

    Age
    14 to 16
    Challenge level
    2 out of 3

    Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

  • Multiplication arithmagons
    problem
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    Multiplication Arithmagons

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?