Divisibility

  • The Remainders Game
    game
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    The Remainders Game

    Age
    7 to 14
    Challenge level
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    Play this game and see if you can figure out the computer's chosen number.

  • Dozens
    problem
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    Dozens

    Age
    7 to 14
    Challenge level
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    Can you select the missing digit(s) to find the largest multiple?

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem
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    Remainders

    Age
    7 to 14
    Challenge level
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    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

  • Adding all nine
    problem

    Adding All Nine

    Age
    11 to 14
    Challenge level
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    Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!
  • An American flag waving in the wind.
    problem
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    American Billions

    Age
    11 to 14
    Challenge level
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    Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

  • flow chart
    problem

    Flow Chart

    Age
    11 to 14
    Challenge level
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    The flow chart requires two numbers, M and N. Select several values for M and try to establish what the flow chart does.

  • Elevenses
    problem
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    Elevenses

    Age
    11 to 14
    Challenge level
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    How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

  • Going round in circles
    problem
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    Going Round in Circles

    Age
    11 to 14
    Challenge level
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    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • What numbers can we make?
    problem
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    What Numbers Can We Make?

    Age
    11 to 14
    Challenge level
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    Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

  • Counting Factors
    problem
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    Counting Factors

    Age
    11 to 14
    Challenge level
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    Is there an efficient way to work out how many factors a large number has?