Simultaneous equations

  • Surds
    problem
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    Surds

    Age
    14 to 16
    Challenge level
    Find the exact values of x, y and a satisfying the following system of equations: 1/(a+1) = a - 1 x + y = 2a x = ay
  • A cardboard carton of cherries.
    problem
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    Fruity Totals

    Age
    7 to 16
    Challenge level

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

  • Letter Land
    problem
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    Letter Land

    Age
    11 to 14
    Challenge level
    If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.
  • Sweet Shop
    problem
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    Sweet Shop

    Age
    11 to 14
    Challenge level
    Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.
  • Children at Large
    problem
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    Children at Large

    Age
    11 to 14
    Challenge level

    There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?

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

    Age
    11 to 16
    Challenge level

    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

    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

    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

    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

    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?

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