Exploring and noticing

  • So it's 28
    problem

    So It's 28

    Age
    5 to 7
    Challenge level
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    Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
  • Starfish Spotting
    problem

    Starfish Spotting

    Age
    5 to 7
    Challenge level
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    How many starfish could there be on the beach, and how many children, if I can see 28 arms?

  • Amazing Alphabet Maze
    problem

    Amazing Alphabet Maze

    Age
    5 to 7
    Challenge level
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    Can you go from A to Z right through the alphabet in the hexagonal maze?
  • An arrangement of dominoes.
    problem

    Domino Join Up

    Age
    5 to 7
    Challenge level
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    Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

  • Find a Path
    problem

    Find a Path

    Age
    5 to 7
    Challenge level
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    Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?
  • Number Squares
    problem

    Number Squares

    Age
    5 to 11
    Challenge level
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    Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?
  • Stairs
    problem

    Stairs

    Age
    5 to 11
    Challenge level
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    This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.
  • Lawn Border
    problem

    Lawn Border

    Age
    5 to 11
    Challenge level
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    If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
  • Street Sequences
    problem

    Street Sequences

    Age
    5 to 11
    Challenge level
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    Investigate what happens when you add house numbers along a street in different ways.

  • It's a Fence!
    problem

    It's a Fence!

    Age
    5 to 11
    Challenge level
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    In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.