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Variant I

1. Read the text and find the key words. Prime numbers

In Book of the Elements, Euclid proves that there are infinitely many prime numbers. This is one of the first proofs known which uses the method of contradiction to establish a result. Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way. Euclid also showed that if the number 2n-1 is prime then the number 2n-1(2n-1) is a perfect number. The mathematician Euler (much later in 1747) was able to show that all even perfect numbers are of this form. It is not known to this day whether there are any odd perfect numbers.

2. Fill in the gaps with an appropriate word.

I want those books. Please give………….to me.

a) they b) them c) those

She is a kind of person………likes to go to parties.

a) what b) whom c) who

Have you ever been to England? Yes, I…….there last year.

a) was being b) had been c) was

Could you close……..window, please?

a) a b) the c)-

We are going for a walk. You can go with….. .

a) us b) we c) our

3. What parts of speech are the words below?

to experience a noun

a scientist a verb

reliable a pronoun

often an adjective

ours an adverb

4. Write the antonyms to the words below.

nobody, to sit, dependent, awful, to be hardworking,

Variant 2

1. Read the text and give the title to it.

Often in differential equations - both in ordinary and partial differential equations - one can conceive of the problem as having this form Z´= AZ , Z(0) = c . If one can make sense of exp(tA), then surely this should be the solution to a differential equation of the form suggested. Finite dimensional linear systems beg for such an understanding. More importantly, this understanding gives direction for the analysis of stability questions in linear, and nonlinear differential equations

2. Fill in the gaps with an appropriate word.

You needn’t ………….Mike.

a) say to b) told c) speak to

I don’t have the book that she…….. .

a) likes b) liked c) like

We .......... many other beautiful songs.

a) have known b) are knowing c) know

People…………this famous (mathematician) physicist.

a) are remembering b) are remembered c) remember

She………….that scene many years ago.

a) saw b)had seen have seen

3. Match a word with its definition.

a) a physicist

1) the science concerned with the study of physical objects and substances, and of natural forces such as light, heat and movement

b) to regulate

2) a queen of sciences

c) physics

3) a scientist who has special knowledge and training in physics

d) a mathematician

4) a scientist who is concerned with numbers, data, collection, quantity, structure, space...

e) mathematics

5) to control