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Focus 4 unit 7.5

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  • They weren’t _____ in this case.
    thought to be involved
    thinking to have been involved
  • Rewrite the sentences in two ways, using the beginnings in brackets. They estimate there are around three billion users of the Internet. (It… / There…)
    It is estimated that there are around three billion users of the Internet. / There are estimated to be around three billion users of the Internet.
  • Rewrite the sentences in two ways, using the beginnings in brackets. People considered such behaviour to be bad manners in the past.(It…/Such…)
    It was considered that such behaviour was bad manners in the past. / Such behaviour was considered to be bad manners in the past.
  • The Arabic numeral system _____ in India.
    is thought to have evolved
    is thought to evolve
  • Greek mathematics _____ with Thales of Miletus.
    has been thought to begin
    is thought to have begun
  • _____ both these theories are true.
    It has believed that
    We may believe that
  • _____ that the idea of 'numbers' evolved gradually over time.
    There’s thought
    It is thought
  • _____early civilizations developed different ways of writing down numbers.
    We know that
    It has known that
  • It _____ that mathematics contains the answer to all questions.
    could argue
    could be argued
  • Rewrite the sentences in two ways, using the beginnings in brackets. We could argue that the universe is nothing more than a mathematical model. (It…/Theuniverse…)
    It could be argued that the universe is nothing more than a mathematical model. / The universe could be argued to be nothing more than a mathematical model.
  • Rewrite the sentences in two ways, using the beginnings in brackets. We know that algebra was more advanced in Babylonia than in Egypt.(It…/Algebra…)
    It is known that algebra was more advanced in Babylonia than in Egypt. / Algebra is known to have been more advanced in Babylonia than in Egypt.
  • Rewrite the sentences in two ways, using the beginnings in brackets. We know that Pythagoras discovered this theorem. (It… / Pythagoras…)
    It is known that Pythagoras discovered this theorem. / Pythagoras is known to have discovered this theorem.
  • Ancient Egyptians are considered _____ to the development of mathematics.
    to have contributed
    to contribute
  • The term 'mathematics' _____ by Pythagoras.
    has been known to be invented
    is known to have been invented
  • You are _____ for your exams in the summer.
    expected to be studying
    expecting to have studied