Reasoning, convincing and proving

  • Cryptarithms
    problem

    Cryptarithms

    Age
    11 to 14
    Challenge level
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    Can you crack these cryptarithms?

  • Overlaps
    problem

    Overlaps

    Age
    11 to 14
    Challenge level
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    Can you find ways to put numbers in the overlaps so the rings have equal totals?

  • Quadrilaterals in a Square
    problem

    Quadrilaterals in a square

    Age
    11 to 14
    Challenge level
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    What's special about the area of quadrilaterals drawn in a square?

  • Triangles in a Square
    problem

    Triangles in a square

    Age
    11 to 14
    Challenge level
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    What are the possible areas of triangles drawn in a square?

  • Reasoning: Identifying Opportunities ( Article )
    article

    Reasoning: identifying opportunities

    In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.

  • School fair necklaces
    problem

    School fair necklaces

    Age
    5 to 11
    Challenge level
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    How many possible symmetrical necklaces can you find? How do you know you've found them all?

  • Compare the Cups
    problem

    Compare the cups

    Age
    5 to 7
    Challenge level
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    You'll need a collection of cups for this activity.

  • Count the Crayons
    problem

    Count the crayons

    Age
    5 to 7
    Challenge level
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    How could you estimate the number of pencils/pens in these pictures?

  • Difference Sudoku
    problem

    Difference Sudoku

    Age
    14 to 16
    Challenge level
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    Use the differences to find the solution to this Sudoku.

  • Doubling Fives
    problem

    Doubling fives

    Age
    5 to 7
    Challenge level
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    This activity focuses on doubling multiples of five.