Addition and subtraction

  • Pole Star Sudoku 2
    problem

    Pole Star Sudoku 2

    Age
    11 to 16
    Challenge level
    2 out of 3

    This Sudoku, based on differences. Using the one clue number can you find the solution?

  • Postage
    problem

    Postage

    Age
    14 to 16
    Challenge level
    1 out of 3

    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.

  • Small tomato seedlings in pink pots.
    problem

    Pros and Cons

    Age
    14 to 16
    Challenge level
    2 out of 3

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

  • No Square Sums
    problem

    No Square Sums

    Age
    14 to 16
    Challenge level
    2 out of 3

    How many numbers do you need to remove to avoid making a perfect square?

  • Small tomato seedlings in pink pots.
    problem

    Digit Sum

    Age
    14 to 16
    Challenge level
    3 out of 3

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

  • Small tomato seedlings in pink pots.
    problem

    Three Primes

    Age
    14 to 16
    Challenge level
    3 out of 3

    Weekly Problem 6 - 2010
    Can you find three primes such that their product is exactly five times their sum? Do you think you have found all possibilities?

  • Difference Sudoku
    problem

    Difference Sudoku

    Age
    14 to 16
    Challenge level
    3 out of 3

    Use the differences to find the solution to this Sudoku.

  • Constellation Sudoku
    problem

    Constellation Sudoku

    Age
    14 to 18
    Challenge level
    2 out of 3

    Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.

  • Magic squares for special occasions
    article

    Magic Squares for Special Occasions

    This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.