Factors and multiples

  • Mystery Matrix
    problem

    Mystery matrix

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

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

  • 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?

  • Fractions in a Box
    problem

    Fractions in a box

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    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.

  • 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?

  • 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.
  • Sets of Four Numbers
    problem

    Sets of four numbers

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
  • Crossings
    problem

    Crossings

    Age
    7 to 11
    Challenge level
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    In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
  • Multiples Grid
    problem

    Multiples grid

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

  • problem

    Factor-multiple chains

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?