Addition and subtraction

  • Amazing Card Trick
    problem
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    Amazing Card Trick

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    How is it possible to predict the card?

  • Weights
    problem
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    Weights

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Different combinations of the weights available allow you to make different totals. Which totals can you make?

  • Impossibilities
    problem
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    Impossibilities

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Just because a problem is impossible doesn't mean it's difficult...

  • Consecutive negative numbers
    problem
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    Consecutive Negative Numbers

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

  • A Connect Four game with red and yellow counters placed.
    problem
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    Connect Three

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

  • Difference Sudoku
    problem
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    Difference Sudoku

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    Use the differences to find the solution to this Sudoku.

  • Double Digit
    problem

    Double Digit

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?
  • 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.
  • Kids
    problem

    Kids

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Find the numbers in this sum