Visualising and representing

  • Tetrahedron faces
    problem

    Tetrahedron Faces

    Age
    7 to 11
    Challenge level
    One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?
  • Redblue
    problem

    Redblue

    Age
    7 to 11
    Challenge level

    Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?

  • Shunting Puzzle
    problem

    Shunting Puzzle

    Age
    7 to 11
    Challenge level
    Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
  • Single Track
    problem

    Single Track

    Age
    7 to 11
    Challenge level
    What is the best way to shunt these carriages so that each train can continue its journey?
  • Waiting for Blast Off
    problem

    Waiting for Blast Off

    Age
    7 to 11
    Challenge level
    10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
  • Counting Cards
    problem

    Counting Cards

    Age
    7 to 11
    Challenge level

    A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

  • Counters
    problem

    Counters

    Age
    7 to 11
    Challenge level

    Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

  • Cuboid-in-a-Box
    problem

    Cuboid-In-A-Box

    Age
    7 to 11
    Challenge level

    What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

  • Peg Rotation
    problem

    Peg Rotation

    Age
    7 to 11
    Challenge level

    Can you work out what kind of rotation produced this pattern of pegs in our pegboard?

  • A drill making wood shavings on a block of wood.
    problem

    Cube Drilling

    Age
    7 to 11
    Challenge level

    Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?

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