Addition and subtraction

  • Alphabet Soup
    problem

    Alphabet soup

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    This challenge is to make up YOUR OWN alphanumeric. Each letter represents a digit and where the same letter appears more than once it must represent the same digit each time.
  • As Easy as 1,2,3
    problem

    As easy as 1,2,3

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type 'TWO' it returns 2, and so on.
  • Cayley
    problem

    Cayley

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
  • Kids
    problem

    Kids

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Find the numbers in this sum
  • Tis Unique
    problem

    Tis unique

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    This addition sum uses all ten digits 0, 1, 2...9 exactly once. Find the sum and show that the one you give is the only possibility.
  • And so on and so on
    problem

    And so on and so on

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    If you wrote all the possible four digit numbers made by using each of the digits 2, 4, 5, 7 once, what would they add up to?
  • Largest Number
    problem

    Largest number

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    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.
  • Postage
    problem

    Postage

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    The country Sixtania prints postage stamps with only three values 6 lucres, 10 lucres and 15 lucres (where the currency is in lucres).Which values cannot be made up with combinations of these postage stamps? Prove that all other values can be made up.
  • Machines
    problem

    Machines

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    What is happening at each box in these machines?
  • Negative Dice
    problem

    Negative dice

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    If the odd numbers on two dice are made negative, which of the totals cannot be achieved?