Linear equations

  • Temperature
    problem

    Temperature

    Age
    11 to 14
    Challenge level
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    Is there a temperature at which Celsius and Fahrenheit readings are the same?
  • 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?
  • Your number was...
    problem

    Your number was...

    Age
    11 to 14
    Challenge level
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    Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
  • 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...
  • 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?
  • How Many Miles To Go?
    problem

    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
  • Leonardo's Problem
    problem

    Leonardo's problem

    Age
    14 to 18
    Challenge level
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    A, B & C own a half, a third and a sixth of a coin collection. Each grab some coins, return some, then share equally what they had put back, finishing with their own share. How rich are they?
  • Terminology
    problem

    Terminology

    Age
    14 to 16
    Challenge level
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    Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
  • Good Work If You Can Get It
    problem

    Good work if you can get it

    Age
    11 to 14
    Challenge level
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    A job needs three men but in fact six people do it. When it is finished they are all paid the same. How much was paid in total, and much does each man get if the money is shared as Fred suggests?
  • Letter Land
    problem

    Letter land

    Age
    11 to 14
    Challenge level
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    If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.