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26. Give examples of equations or formulae that you had to solve at your lessons of mathematics.

27. Find and correct mistakes.

  1. My birthday is on the twenty – seventh of March.

  2. My phone number is zero, six, seven, double two, three, eight, nine, two, four.

  3. The population of Kyiv is about three millions.

  4. I got twenty-five out of forty in my test.

  5. It was the second typical example of the rule.

  6. We have done at least 70 per cents of the work.

  7. Seven, five, three are odd numbers.

28. What will probably these people do in an hour.

a)

b)

c)

d)

2 9. This time you have to write three sentences about the past, present and future. Alex always solves mathematical problems in the morning. It always takes him an hour, from 8.30 untill 9.30 a.m. So:

  1. At 9 o'clock yesterday morning Alex was solving mathematical problems.

  2. It's 9 o'clock now. He is solving mathematical problems.

  3. At 9 o'clock tomorrow morning he will be solving mathematical problems.

30. You want to ask your friend to do something for you. Use the prompts below to make questions, as in the example. Use the Future Continuous.

  1. You want your friend to solve this mathematical problem.

Will you be solving this mathematical problem?

  1. You want your friend to explain the difference between the words "equation" and "expression".

  2. You want your friend to translate this sentence.

  3. You want your friend to prove the theorem.

Answers

  1. Will you be solving this mathematical problem?

  2. Will you be explaining the difference between the words "equation" and "expression"?

  3. Will you be translating this sentence?

  4. Will you be proving the theorem?

31. Choose the correct answer.

  1. By the end of May, Tom will have studied/will have been studying English for a year.

  2. By June, Kate will have been finishing/will have finished studying at the University.

  3. Hopefully, they will have learned/will have been learning everything by the time they sit the exam.

  4. By 7 o'clock, I will have been studying/will have studied mathematics for three hours.

  5. By Monday, we will have written/ will have been writing an essay about mathematics.

32. Put the verbs into the correct tense.

  1. The people in each country translate algebra into their own spoken language.

  2. Algebra has passed three stages in its development.

  3. Common language is a product of social development.

  4. The given magnitudes were designated by consonants.

  5. Power of transformation lifts algebra above the level of convenient shorthand.

  6. The history of symbols “+” and “−“ illustrates the point.

33. Put articles where necessary.

  1. Common language is a product of social development.

  2. Algebra, the language of mathematics, consists mostly of signs and symbols.

  3. Algebra is one and the same throughout the civilized world.

  4. Algebra in the broad sense of the term, deals with operations upon symbolic forms.

  5. The Cartesian notation not only displaced the Vietan one, but has survived to this day.

  6. It is symbolic language that is one of the basic characteristics of modern mathematics.

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