Simultaneous equations

  • Small tomato seedlings in pink pots.
    problem

    Whole Numbers Only

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you work out how many of each kind of pencil this student bought?

  • All-Variables Sudoku
    problem

    All-Variables Sudoku

    Age
    11 to 18
    Challenge level
    1 out of 3

    The challenge is to find the values of the variables if you are to solve this Sudoku.

  • Building Tetrahedra
    problem

    Building Tetrahedra

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you make a tetrahedron whose faces all have the same perimeter?

  • Gift of Gems
    problem

    Gift of Gems

    Age
    14 to 16
    Challenge level
    2 out of 3

    Four jewellers share their stock. Can you work out the relative values of their gems?

  • Small pepper seedlings in orange pots.
    problem

    Day of the Triffids

    Age
    14 to 16
    Challenge level
    2 out of 3

    Jasmine buys three different types of plant. How many triffids did she buy?

  • Small pepper seedlings in orange pots.
    problem

    Table Height

    Age
    14 to 16
    Challenge level
    2 out of 3

    A table has blocks of wood placed on and next to it. Can you work out how tall it is?

  • Small pepper seedlings in orange pots.
    problem

    Packing Boxes

    Age
    14 to 16
    Challenge level
    2 out of 3

    Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.

  • Polycircles
    problem

    Polycircles

    Age
    14 to 16
    Challenge level
    3 out of 3

    Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?

  • Symmetricality
    problem

    Symmetricality

    Age
    14 to 18
    Challenge level
    1 out of 3

    Five equations and five unknowns. Is there an easy way to find the unknown values?

  • Overturning fracsum
    problem

    Overturning Fracsum

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you solve the system of equations to find the values of x, y and z?