Exploring and noticing

  • Climbing Complexity
    problem

    Climbing complexity

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

    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • Climbing Conundrum
    problem

    Climbing conundrum

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

    Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

  • Tumbling Down
    problem

    Tumbling down

    Age
    7 to 11
    Challenge level
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    Watch this animation. What do you see? Can you explain why this happens?

  • Pouring Problem
    problem

    Pouring problem

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

    What do you think is going to happen in this video clip? Are you surprised?

  • Angles inside
    problem

    Angles inside

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

    Draw some angles inside a rectangle. What do you notice? Can you prove it?

  • Price Match
    problem

    Price match

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

    Can you find pairs of differently sized windows that cost the same?

  • Count Me In
    problem

    Count me in

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

    How do you know whether you will reach these numbers when you count in steps of six from zero?

  • Almost One
    problem

    Almost one

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Choose some fractions and add them together. Can you get close to 1?
  • Diagonal in a Spiral
    problem

    Diagonal in a spiral

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
  • Paper Patchwork 2
    problem

    Paper patchwork 2

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

    Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?