Addition and subtraction

  • Little Goldbach
    problem

    Little Goldbach

    Age
    11 to 14
    Challenge level
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    How many of the numbers 1 to 20 are not the sum of two primes?

  • Debasing the Coinage
    problem

    Debasing the Coinage

    Age
    11 to 14
    Challenge level
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    How much lighter will £5 worth of 5p's be with these new lighter coins?

  • 3388
    problem

    3388

    Age
    11 to 14
    Challenge level
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    Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

  • Football Sum
    problem

    Football Sum

    Age
    11 to 14
    Challenge level
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    Find the values of the nine letters in the sum: FOOT + BALL = GAME

  • Pair Sums
    problem

    Pair Sums

    Age
    11 to 14
    Challenge level
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    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
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    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.

  • Alphabetti Sudoku
    problem

    Alphabetti Sudoku

    Age
    11 to 16
    Challenge level
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    This Sudoku requires you to do some working backwards before working forwards.

  • Pole Star Sudoku 2
    problem

    Pole Star Sudoku 2

    Age
    11 to 16
    Challenge level
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    This Sudoku, based on differences. Using the one clue number can you find the solution?

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

    Digit Sum

    Age
    14 to 16
    Challenge level
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    What is the sum of all the digits in all the integers from one to one million?

  • Constellation Sudoku
    problem

    Constellation Sudoku

    Age
    14 to 18
    Challenge level
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    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.