Factors and multiples

  • Satisfying Statements
    problem

    Satisfying statements

    Age
    11 to 14
    Challenge level
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    Can you find any two-digit numbers that satisfy all of these statements?

  • 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!
  • Have you got it?
    problem

    Have you got it?

    Age
    11 to 14
    Challenge level
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    Can you explain the strategy for winning this game with any target?

  • American Billions
    problem

    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...

  • Factors and Multiples Puzzle
    problem

    Factors and multiples puzzle

    Age
    11 to 14
    Challenge level
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    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • 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.

  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
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    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • How much can we spend?
    problem

    How much can we spend?

    Age
    11 to 14
    Challenge level
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    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

  • Shifting Times Tables
    problem

    Shifting times tables

    Age
    11 to 14
    Challenge level
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    Can you find a way to identify times tables after they have been shifted up or down?

  • What numbers can we make?
    problem

    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?