Addition and subtraction

  • Crossed Ends
    problem

    Crossed ends

    Age
    11 to 14
    Challenge level
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    Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

  • 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?

  • Bus Route
    problem

    Bus route

    Age
    11 to 14
    Challenge level
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    How far apart are the first and last bus stops in this bus route?
  • Mathematical Ages
    problem

    Mathematical ages

    Age
    11 to 14
    Challenge level
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    Arrange these three famous mathematicians in order with the shortest-lived first.
  • 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?

  • 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?
  • Find the Difference
    problem

    Find the difference

    Age
    5 to 7
    Challenge level
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    Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

  • Shut the box
    problem

    Shut the box

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    An old game with lots of arithmetic!

  • Lengthy journeys
    problem

    Lengthy journeys

    Age
    7 to 11
    Challenge level
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    Investigate the different distances of these car journeys and find out how long they take.