Factors and multiples

  • problem

    Two primes make one square

    Age
    7 to 11
    Challenge level
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    Can you make square numbers by adding two prime numbers together?

  • problem

    Factor lines

    Age
    7 to 14
    Challenge level
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    Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

  • Shopping Basket
    problem

    Shopping basket

    Age
    11 to 16
    Challenge level
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    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • Scoring with Dice
    problem

    Scoring with dice

    Age
    7 to 11
    Challenge level
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    I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
  • Divide it out
    problem

    Divide it out

    Age
    7 to 11
    Challenge level
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    What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
  • problem

    Multiplication squares

    Age
    7 to 11
    Challenge level
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    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

  • Fractions in a Box
    problem

    Fractions in a box

    Age
    7 to 11
    Challenge level
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    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  • In the Money
    problem

    In the money

    Age
    7 to 11
    Challenge level
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    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Path to the Stars
    problem

    Path to the stars

    Age
    7 to 11
    Challenge level
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    Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
  • Mystery Matrix
    problem

    Mystery matrix

    Age
    7 to 11
    Challenge level
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    Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.