Conjecturing and generalising

  • Subtraction Surprise
    problem
    Favourite

    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

    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.

  • Dicey Operations
    game
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    Dicey Operations

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

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

  • 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?