Addition and subtraction

  • Amazing Card Trick
    problem

    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

    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

    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...

  • Pair Sums
    problem

    Pair sums

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

    Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

  • Pairs
    problem

    Pairs

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

    Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was thinking of.

  • Consecutive negative numbers
    problem

    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?

  • Connect Three
    problem

    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?

  • Place value, integers, ordering and rounding - Short Problems
    problem

    Digit sum

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

    What is the sum of all the digits in all the integers from one to one million?

  • Difference Sudoku
    problem

    Difference Sudoku

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

    Use the differences to find the solution to this Sudoku.