Conjecturing and generalising

  • Dicey Operations
    game
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    Dicey Operations

    Age
    7 to 14

    In these addition and subtraction games, you'll need to think strategically to get closest to the target.

  • Subtraction Surprise
    problem
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    Subtraction Surprise

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    Try out these calculations. Are you surprised by the results?

  • Climbing Conundrum
    problem
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    Climbing Conundrum

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

  • The Remainders Game
    game
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    The Remainders Game

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    Play this game and see if you can figure out the computer's chosen number.

  • Consecutive Numbers
    problem
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    Consecutive Numbers

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

  • Dozens
    problem
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    Dozens

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    Can you select the missing digit(s) to find the largest multiple?

  • Got It
    problem
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    Got It

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    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.

  • A rolled up old-fashioned treasure map.
    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
    filled star empty star empty star

    Four strategy dice games to consolidate pupils' understanding of rounding.