Exploring and noticing

  • The Thousands Game
    problem

    The thousands game

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

    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

  • Number Differences
    problem
    Favourite

    Number differences

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

    Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

  • Tables Without Tens
    problem

    Tables without tens

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
  • Brush Loads
    problem
    Favourite

    Brush loads

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

    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Real Statistics
    problem
    Favourite

    Real statistics

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

    Have a look at this table of how children travel to school. How does it compare with children in your class?

  • What's in the Box?
    problem
    Favourite

    What's in the box?

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

    This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

  • First Connect Three
    problem
    Favourite

    First connect three

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

    Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

  • tiling
    problem

    Tiling

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    An investigation that gives you the opportunity to make and justify predictions.
  • Cubes Here and There
    problem

    Cubes here and there

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?