Simultaneous equations

  • CD Heaven
    problem
    Favourite

    CD Heaven

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    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
    Favourite

    Matchless

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Negatively Triangular
    problem
    Favourite

    Negatively Triangular

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    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
    Favourite

    Which Is Bigger?

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Multiplication arithmagons
    problem
    Favourite

    Multiplication Arithmagons

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Intersections
    problem
    Favourite

    Intersections

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

  • Always Two
    problem
    Favourite

    Always Two

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.

  • Leonardo's Problem
    problem
    Favourite

    Leonardo's Problem

    Age
    14 to 18
    Challenge level
    filled star filled star filled star
    A, B & C own a half, a third and a sixth of a coin collection. Each grab some coins, return some, then share equally what they had put back, finishing with their own share. How rich are they?
  • System Speak
    problem
    Favourite

    System Speak

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Five equations... five unknowns... can you solve the system?
  • Rudolff's Problem
    problem

    Rudolff's Problem

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?