Visualising and representing

  • Small pepper seedlings in turquoise pots.
    problem

    Potatoes

    Age
    11 to 14
    Challenge level

    Weekly Problem 19 - 2009
    When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

  • Island Hopping
    problem

    Island Hopping

    Age
    11 to 14
    Challenge level

    What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?

  • Small pepper seedlings in orange pots.
    problem

    Printing Error

    Age
    11 to 14
    Challenge level

    Every third page number in this book has been omitted. Can you work out what number will be on the last page?

  • Troublesome Dice
    problem

    Troublesome Dice

    Age
    11 to 14
    Challenge level
    When dice land edge-up, we usually roll again. But what if we didn't...?
  • Small pepper seedlings in orange pots.
    problem

    Starting Fibonacci

    Age
    11 to 14
    Challenge level

    What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?

  • Small pepper seedlings in turquoise pots.
    problem

    Painted Octahedron

    Age
    11 to 14
    Challenge level

    What is the smallest number of colours needed to paint the faces of a regular octahedron so that no adjacent faces are the same colour?

  • Small pepper seedlings in turquoise pots.
    problem

    Squares in a Square

    Age
    11 to 14
    Challenge level

    In the diagram, the small squares are all the same size. What fraction of the large square is shaded?

  • Small pepper seedlings in turquoise pots.
    problem

    Soma Surface

    Age
    11 to 14
    Challenge level

    What is the surface area of the solid shown?

  • Is there a theorem?
    problem

    Is There a Theorem?

    Age
    11 to 14
    Challenge level

    Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

  • A path of square paving slabs in a green lawn.
    problem

    Cube Paths

    Age
    11 to 14
    Challenge level

    Given a 2 by 2 by 2 skeletal cube with one route 'down' the cube. How many routes are there from A to B?

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