Explaining, convincing and proving

  • Interactive Balance
    interactivity
    Favourite

    Interactive balance

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

    In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!

  • Counting Stick Conjectures
    problem

    Counting stick conjectures

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
  • Make 37 Poster
    problem
    Favourite

    Make 37

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

    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

  • School fair necklaces
    problem
    Favourite

    School fair necklaces

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

    How many possible symmetrical necklaces can you find? How do you know you've found them all?

  • Making Pathways
    problem

    Making pathways

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Can you find different ways of creating paths using these paving slabs?
  • Colourful books on curved library shelves.
    game

    Online

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

    Can you end up with all the occurrences of the same letter in this two-player game?

  • problem
    Favourite

    Rectangle tangle

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

    The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

  • Square Corners
    problem
    Favourite

    Square corners

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

    What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?