Working systematically

  • Shaping Up
    problem

    Shaping Up

    Age
    7 to 11
    Challenge level
    2 out of 3

    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
    2 out of 3

    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
    2 out of 3

    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
    2 out of 3

    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
    2 out of 3

    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
    3 out of 3

    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
    3 out of 3

    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
    3 out of 3

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

  • Calcunos
    problem

    Calcunos

    Age
    7 to 11
    Challenge level
    3 out of 3

    If we had 16 light bars which digital numbers could we make? How will you know you've found them all?

  • Making Squares
    problem

    Making Squares

    Age
    7 to 11
    Challenge level
    3 out of 3

    Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?