Comparing and ordering numbers

  • Sets of Four Numbers
    problem

    Sets of Four Numbers

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

    Truth or Lie

    Age
    7 to 11
    Challenge level
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    Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

  • Rod Fractions
    problem

    Rod Fractions

    Age
    7 to 14
    Challenge level
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    Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?

  • Nice or Nasty for Two
    game

    Nice or Nasty for Two

    Age
    7 to 14
    Challenge level
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    Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

  • Euromaths
    problem

    Euromaths

    Age
    11 to 14
    Challenge level
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    How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?

  • Largest Number
    problem

    Largest Number

    Age
    11 to 14
    Challenge level
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    What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

  • Writ large
    problem

    Writ Large

    Age
    11 to 14
    Challenge level
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    Suppose you had to begin the never ending task of writing out the natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the 1000th digit you would write down.

  • Magical Products
    problem

    Magical Products

    Age
    11 to 14
    Challenge level
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    Can you place the nine cards onto a 3×3 grid such that every row, column and diagonal has a product of 1?

  • Calendar Activities
    article

    Calendar Activities

    Don't get rid of your old calendars! You can get a lot more mathematical mileage out of them before they are thrown away. These activities, using cut up dates from the calendar, provide numbers to practise skills that may be in need of review after a holiday break.