Linear equations

  • Seven Up
    problem

    Seven Up

    Age
    11 to 14
    Challenge level
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    The number 27 is special because it is three times the sum of its digits 27 = 3 (2 + 7). Find some two digit numbers that are SEVEN times the sum of their digits (seven-up numbers)?
  • Burning down
    problem

    Burning Down

    Age
    14 to 16
    Challenge level
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    One night two candles were lit. Can you work out how long each candle was originally?
  • Fractions of Fractions
    problem

    Fractions of Fractions

    Age
    14 to 16
    Challenge level
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    If you know that a fraction of X is the same as a different fraction of Y, can you work out X/Y?
  • Big Fish
    problem

    Big Fish

    Age
    14 to 16
    Challenge level
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    Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into three pieces in order to weigh it...
  • A Problem of time
    problem

    A Problem of Time

    Age
    14 to 16
    Challenge level
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    Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?
  • Months and Years
    problem

    Months and Years

    Age
    14 to 16
    Challenge level
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    The product of Mary's age at her last birthday and her age in complete months is 1800. How old is Mary?