Visualising and representing

  • Folded A4
    problem

    Folded A4

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

    What shapes can be made by folding an A4 sheet of paper only once?

  • ACE, TWO, THREE...
    problem

    Ace, Two, Three...

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

    Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

  • Troublesome Dice
    problem

    Troublesome Dice

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    When dice land edge-up, we usually roll again. But what if we didn't...?
  • Starting Fibonacci
    problem

    Starting Fibonacci

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

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

  • Cube Paths
    problem

    Cube Paths

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

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

  • Triangular Tantaliser
    problem

    Triangular Tantaliser

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

    Draw all the possible distinct triangles on a 4 × 4 dotty grid. Convince me that you have all possible triangles.

  • Flight of the Flibbins
    problem

    Flight of the Flibbins

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

    Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to the new planet?

  • Turning N Over
    problem

    Turning N Over

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

    A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

  • Blockupied
    problem

    Blockupied

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

    A 1×2×3 block is placed on an 8×8 board and rolled several times.... How many squares has it occupied altogether?

  • Khun Phaen Escapes to Freedom
    game

    Khun Phaen Escapes to Freedom

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.