Addition and subtraction

  • Tis Unique
    problem

    Tis Unique

    Age
    11 to 14
    Challenge level
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    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
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    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
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    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.

  • Negative Dice
    problem

    Negative Dice

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

  • Multiply the Addition Square
    problem

    Multiply the Addition Square

    Age
    11 to 14
    Challenge level
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    If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

  • Calculation 2000
    problem

    Calculation 2000

    Age
    11 to 14
    Challenge level
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    Weekly Problem 49 - 2013
    What is the value of 2000 + 1999 × 2000?

  • Reverse Subtraction
    problem

    Reverse Subtraction

    Age
    11 to 14
    Challenge level
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    What is the value of c in this subtraction?

  • Debt Recovery
    problem

    Debt Recovery

    Age
    11 to 14
    Challenge level
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    Tony and Tina can't work out which of them owes what to the other. Can you?

  • 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?