Exploring and noticing

  • Ladybird Count
    problem

    Ladybird count

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

    Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

  • A Numbered Route
    problem

    A numbered route

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
  • Cut Nets
    problem

    Cut nets

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

    Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

  • Tilted Squares
    problem

    Tilted squares

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

    It's easy to work out the areas of most squares that we meet, but what if they were tilted?

  • Your number is...
    problem

    Your number is...

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

    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • Shear Magic
    problem

    Shear magic

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

    Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

  • Squirty
    problem

    Squirty

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.

  • Number Tracks
    problem

    Number tracks

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
  • Pair Products
    problem

    Pair products

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

  • What Shape and Colour?
    problem

    What shape and colour?

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

    Can you fill in the empty boxes in the grid with the right shape and colour?