Factors and multiples

  • Guess the Dominoes for Two
    problem

    Guess the Dominoes for Two

    Age
    7 to 11
    Challenge level
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    Guess the Dominoes for child and adult. Work out which domino your partner has chosen by asking good questions.

  • Surprising Split
    problem

    Surprising Split

    Age
    7 to 11
    Challenge level
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    Does this 'trick' for calculating multiples of 11 always work? Why or why not?

  • Rearranged Rectangle
    problem

    Rearranged Rectangle

    Age
    7 to 11
    Challenge level
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    How many different rectangles can you make using this set of rods?

  • Mathdoku
    problem

    Mathdoku

    Age
    7 to 11
    Challenge level
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    Complete the Mathdoku grid using the clues. Can you convince us that the number you have chosen for each square has to be correct?

  • Pebbles
    problem

    Pebbles

    Age
    7 to 11
    Challenge level
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    Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

  • It Figures
    problem

    It Figures

    Age
    7 to 11
    Challenge level
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    Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
  • Thinking Mathematically - Short Problems
    problem

    What Two ...?

    Age
    7 to 11
    Challenge level
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    56 406 is the product of two consecutive numbers. What are these two numbers?

  • Spelling Circle
    problem

    Spelling Circle

    Age
    7 to 11
    Challenge level
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    Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
  • Sets of Numbers
    problem

    Sets of Numbers

    Age
    7 to 11
    Challenge level
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    How many different sets of numbers with at least four members can you find in the numbers in this box?

  • A Square Deal
    problem

    A Square Deal

    Age
    7 to 11
    Challenge level
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    Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.