Explaining, convincing and proving

  • Odd Squares
    problem
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    Odd squares

    Age
    7 to 11
    Challenge level
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    Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

  • Cows and Sheep
    problem

    Cows and sheep

    Age
    7 to 11
    Challenge level
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    Use your logical reasoning to work out how many cows and how many sheep there are in each field.
  • What Do you Need?
    problem
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    What do you need?

    Age
    7 to 11
    Challenge level
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    Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

  • Magic Vs
    problem
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    Magic Vs

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

  • Three Dice
    problem
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    Three dice

    Age
    7 to 11
    Challenge level
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    Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

  • Times Tables Shifts
    problem
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    Times tables shifts

    Age
    7 to 11
    Challenge level
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    In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

  • How do you do it?
    problem
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    How do you do it?

    Age
    7 to 11
    Challenge level
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    This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

  • problem
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    The car that passes

    Age
    7 to 11
    Challenge level
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    What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

  • Journeys in Numberland
    problem
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    Journeys in Numberland

    Age
    7 to 11
    Challenge level
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    Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

  • Bryony's Triangle
    problem
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    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?