Working systematically

  • Chocoholics
    problem

    Chocoholics

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
  • Rabbits in the pen
    problem

    Rabbits in the Pen

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Using the statements, can you work out how many of each type of rabbit there are in these pens?
  • Shaping Up
    problem

    Shaping Up

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
  • problem

    Winning the Lottery

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

    Find out about the lottery that is played in a far-away land. What is the chance of winning?

  • Button-Up Some More
    problem

    Button-Up Some More

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

    How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

  • Daisy
    game

    Daisy

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

    In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?

  • Display Boards
    problem

    Display Boards

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

    Design an arrangement of display boards in the school hall which fits the requirements of different people.

  • Dart Target
    problem

    Dart Target

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

    This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

  • Painting Possibilities
    problem

    Painting Possibilities

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

    This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.

  • Open Squares
    problem

    Open Squares

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

    This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?