Comparing and ordering numbers

  • Nice or Nasty for Two
    game

    Nice or Nasty for Two

    Age
    7 to 14
    Challenge level

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

  • Greetings
    problem

    Greetings

    Age
    11 to 14
    Challenge level

    From a group of any 4 students in a class of 30, each has exchanged Christmas cards with the other three. Show that some students have exchanged cards with all the other students in the class. How many such students are there?

  • Euromaths
    problem

    Euromaths

    Age
    11 to 14
    Challenge level

    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

    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

    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.

  • Small tomato seedlings in pink pots.
    problem

    Magical Products

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in pink pots.
    problem

    17s and 23s

    Age
    11 to 14
    Challenge level

    Can you form this 2010-digit number...

  • Small tomato seedlings in pink pots.
    problem

    Pros and Cons

    Age
    14 to 16
    Challenge level

    If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

  • Dot Card Games
    article

    Dot Card Games

    These games devised by Jenni Way use dot cards which will help children see the structure of numbers 1-6 and give them confidence as they begin to add and subtract these numbers.
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