Conjecturing and generalising

  • Got It
    problem
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    Got It

    Age
    7 to 14
    Challenge level
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    A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

  • Treasure Hunt
    problem
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    Treasure Hunt

    Age
    7 to 14
    Challenge level
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    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • Reasoned Rounding
    problem
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    Reasoned Rounding

    Age
    7 to 14
    Challenge level
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    Four strategy dice games to consolidate pupils' understanding of rounding.

  • Neighbourly Addition
    problem

    Neighbourly Addition

    Age
    7 to 14
    Challenge level
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    I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

  • Charitable Pennies
    problem

    Charitable Pennies

    Age
    7 to 14
    Challenge level
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    Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
  • More Less is More
    problem
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    More Less is More

    Age
    7 to 14
    Challenge level
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    In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.

  • Dicey Operations
    game
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    More Dicey operations

    Age
    7 to 14
    Challenge level
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    In these multiplication and division games, you'll need to think strategically to get closest to the target.

  • Number Lines in Disguise
    problem
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    Number Lines in Disguise

    Age
    7 to 14
    Challenge level
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    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

  • Chocolate
    problem
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    Chocolate

    Age
    7 to 14
    Challenge level
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    There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

  • problem
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    Counting Cogs

    Age
    7 to 14
    Challenge level
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    Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?