Exploring and noticing

  • Transformations on a Pegboard
    problem
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    Transformations on a Pegboard

    Age
    7 to 11
    Challenge level
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    How would you move the bands on the pegboard to alter these shapes?

  • Let Us Reflect
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    Let Us Reflect

    Age
    7 to 11
    Challenge level
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    Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

  • Trebling
    problem
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    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • Fractional Triangles
    problem
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    Fractional Triangles

    Age
    7 to 11
    Challenge level
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    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • How Big Are Classes 5, 6 and 7?
    problem
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    How Big Are Classes 5, 6 and 7?

    Age
    7 to 11
    Challenge level
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    Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

  • The Thousands Game
    problem
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    The Thousands Game

    Age
    7 to 11
    Challenge level
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    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

  • Number Differences
    problem
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    Number Differences

    Age
    7 to 11
    Challenge level
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    Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

  • Brush Loads
    problem
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    Brush Loads

    Age
    7 to 11
    Challenge level
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    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Real Statistics
    problem
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    Real Statistics

    Age
    7 to 11
    Challenge level
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    Have a look at this table of how children travel to school. How does it compare with children in your class?