Share Focus 4 unit 7.5
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The Arabic numeral system _____ in India.
is thought to evolve
is thought to have evolved
The term 'mathematics' _____ by Pythagoras.
is known to have been invented
has been known to be invented
_____ that the idea of 'numbers' evolved gradually over time.
It is thought
There’s thought
It _____ that mathematics contains the answer to all questions.
could be argued
could argue
_____early civilizations developed different ways of writing down numbers.
It has known that
We know that
Ancient Egyptians are considered _____ to the development of mathematics.
to contribute
to have contributed
Greek mathematics _____ with Thales of Miletus.
is thought to have begun
has been thought to begin
_____ both these theories are true.
We may believe that
It has believed that
They weren’t _____ in this case.
thinking to have been involved
thought to be involved
You are _____ for your exams in the summer.
expecting to have studied
expected to be studying
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 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. 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. 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.
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.
