Multiplication and division

  • Digit Discovery
    problem

    Digit discovery

    Age
    7 to 11
    Challenge level
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    Here is an interesting property about two sets of digits. Can you work out what the digits might be?

  • Asteroid Blast
    game

    Asteroid blast

    Age
    7 to 11
    Challenge level
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    A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
  • 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?

  • Dice and Spinner Numbers
    problem

    Dice and spinner numbers

    Age
    7 to 11
    Challenge level
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    If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be 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?
  • Magic Constants
    problem

    Magic constants

    Age
    7 to 11
    Challenge level
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    In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?
  • X is 5 squares
    problem

    X is 5 squares

    Age
    7 to 11
    Challenge level
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    Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
  • How Old?
    problem

    How old?

    Age
    7 to 11
    Challenge level
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    Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
  • Book Codes
    problem

    Book codes

    Age
    7 to 11
    Challenge level
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    Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?
  • How many eggs?
    problem

    How many eggs?

    Age
    7 to 11
    Challenge level
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    Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.