Exploring and noticing

  • Dicey Addition
    problem

    Dicey addition

    Age
    5 to 11
    Challenge level
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    In these addition games, you'll need to think strategically to get closest to the target.

  • Can you Make 100?
    problem

    Can you make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Sending and Receiving Cards
    problem

    Sending and receiving cards

    Age
    7 to 11
    Challenge level
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    This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
  • Vector journeys
    problem

    Vector journeys

    Age
    14 to 18
    Challenge level
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    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

  • What numbers can we make?
    problem

    What numbers can we make?

    Age
    11 to 14
    Challenge level
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    Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

  • Bryony's Triangle
    problem

    Bryony's triangle

    Age
    7 to 11
    Challenge level
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    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • Training schedule
    problem

    Training schedule

    Age
    14 to 16
    Challenge level
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    The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

  • Dotty Six
    problem

    Dotty six

    Age
    5 to 11
    Challenge level
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    Dotty Six is a simple dice game that you can adapt in many ways.

  • Perimeter Expressions
    problem

    Perimeter expressions

    Age
    11 to 14
    Challenge level
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    Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

  • Area and perimeter
    problem

    Area and perimeter

    Age
    7 to 11
    Challenge level
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    What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.