Free Printable англ 151-200

1.

Complete the sentence: Although The Queen appoints senior judges, she does so on recommendations of the ............

a)

Prime Minister

b)

Her husband

c)

Her eldest son

d)

Price William

e)

People

2.

Complete the sentence: In ........ Great Britain become a member of the European Economic Community.

a)

1973

b)

1970

c)

2014

d)

1974

e)

1972

3.

Complete the sentence: ............is a form of government in which one person has hereditary right to rule as head of state during his or her lifetime, the term is also applied to the state so governed. The power of the monarch varies from absolute to very limited, the latter is exemplified in modern day constitutional monarchies.

a)

Monarchy

b)

Republic

c)

Federal republic

d)

Absolute monarchy

e)

Constitutional monarchy

4.

Complete the sentence: Since ….. , Commonwealth Day is celebrated throughout the Commonwealth on the second Monday in March.

a)

1977

b)

1978

c)

2014

d)

1974

e)

1972

5.

Complete the sentence: ……… is a surname of the Royal family.

a)

Windsor

b)

Buckingham

c)

Balmoral

d)

Sandringham

e)

Romans

6.

Complete the sentence: ………… is a country in which the territory of both the nation and the state coincide.

a)

Nation-State

b)

City-State

c)

Nation-Country

d)

Nation- City

e)

Country-State

7.

Complete the sentence: Every day the Queen receives policy papers, Cabinet documents, telegrams, letters and other State papers. These are sent up to her by the Private Secretaries in the famous ………

a)

red boxes

b)

blue boxes

c)

white boxes

d)

green boxes

e)

yellow boxes

8.

Complete the sentence: ……… is official residence of the Royal Family.

a)

Windsor

b)

Buckingham

c)

Balmoral

d)

Sandringham

e)

Romans

9.

Find out the right answer: A system of government in which a small group holds power is

a)

oligarchy and aristocracy

b)

autocracy

c)

aristocracy

d)

oligarchy

e)

democracy

10.

What does the abbreviation VIP mean?

a)

Very important person

b)

Very impatient person

c)

Very immortal person

d)

Very impossible person

e)

Very important people

11.

Solve the inequality: $\frac{1}{2-x} + \frac{5}{2+x} < 1$ .

a)

$(\infty;-2\cup\left(2;\infty)\right)$

b)

$\left(\frac{4}{3};3\right)\cup(3;8)$

c)

$[-2; 2.25) \cup [5; +\infty)$

d)

$(\infty; -12] \cup (6; +\infty)$

e)

$[2; 6.75] \cup [9; +\infty)$

12.

Solve the inequality: $\log_{1/3} \frac{3x-1}{x+2} < 1$ .

a)

$(\infty; -2] \cup [0.625; \infty)$

b)

$\left(\frac{4}{3};3\right)\cup(3;8)$

c)

$[-2; 2.25) \cup [5; +\infty)$

d)

$(\infty; -12] \cup (6; +\infty)$

e)

$[2; 6.75] \cup [9; +\infty)$

13.

$\log_3\frac{3x-5}{x+1}\le1$

a)

$\left(\frac{5}{3};+\infty\right)$

b)

$\left(\frac{4}{3};3\right)\cup\left(3;8\right)$

c)

$\left[2;2.25\right)\cup\left[5;\infty\right)$

d)

$\left(-\infty;-12\right)$

e)

$\left[9;+\infty\right)$

14.

Solve the inequality: $\sqrt{x} \geq 2$

a)

$\left([4\text{;+}\infty\right)$

b)

$(\infty; -2] \cup [2; \infty)$

c)

$[-2; 2.25) \cup [5; +\infty)$

d)

$(\infty; -12] \cup (6; +\infty)$

e)

$[2; 6.75] \cup [9; +\infty)$

15.

Solve the inequality: (x + 1)(3 - x)(x - 2)² > 0.

a)

(-1,2) ∪ (2,3)

b)

(5/3, ∞)

c)

(-1,2) ∪ (2,5)

d)

(-∞, -12)

e)

(9, +∞)

16.

Solve the equation: 4ˣ = 64

a)

3

b)

2

c)

6

d)

8

e)

4

17.

Solve the inequality: √x < 2

a)

[0,4)

b)

[4, +∞)

c)

(6, +∞)

d)

[0,2)

e)

3

18.

Solve the equation: 25ˣ = 1/5

a)

-0.5

b)

0.2

c)

0.1

d)

0.7

e)

0.03

19.

Solve the equation: 8ˣ = 16

a)

4/3

b)

1/7

c)

2

d)

5/3

e)

1

20.

Solve the equation: (0.5)ˣ = 1/64

a)

6

b)

2

c)

4

d)

8

e)

1

21.

Solve the equation: $(1/9)^x = 1/27$

a)

1,5

b)

1,7

c)

1,3

d)

1,9

e)

0,5

22.

Solve the equation: $3^{(6-x)} = 3^{(3x-2)}$

a)

2

b)

1

c)

3

d)

4

e)

5

23.

Solve the equation: $(1/\sqrt{2})^{(x^3-9x)}$ = 1

a)

-3; 0; 3

b)

0; -3

c)

-3; 1; 4

d)

-1; 0; 1

e)

1

24.

Solve the equation: $\sqrt[]{3^х}=9$

a)

4

b)

1

c)

5

d)

3

e)

2

25.

Solve the equation: $\sqrt{2^x \cdot 3^x} = 36$

a)

four

b)

two

c)

minus two

d)

three

e)

six

26.

Solve the equation: $(2/5)^x = (5/2)^4$

a)

-4

b)

9

c)

5

d)

3

e)

4

27.

Solve the equation: log_7(x) = log_7(12) - log_7(3)

a)

4

b)

2

c)

56

d)

1

28.

Solve a system of equations: { log₄x - log₂y = 0, x² - 4y² - 8 = 0 }

a)

(4;2)

b)

(-1;2)

c)

(-2;3)

d)

(25;-16)

e)

(4,5;3,5)

29.

Solve a system of equations: { log₂x + log₄y = 4, log₄x + log₂y = 5 }

a)

(4;16)

b)

(-1;2)

c)

(-2;3)

d)

(25;-16)

e)

(4,5;3,5)

30.

Solve a system of equations: { 2ˣ·3ʸ = 6, 3ˣ·4ʸ = 12 }

a)

(1;1)

b)

(-1;2)

c)

(-2;3)

d)

(25;-16)

e)

(4,5;3,5)

31.

$\log_{\sqrt[]{x}}\left(xy\right)=8\ and\ \log_3\log_{\frac{1}{9}}\frac{x}{y}=0$

a)

(3;27)

b)

(-1;2)

c)

(-2,3)

d)

(25;-16)

e)

(4,5;3,5)

32.

Solve the equation: √(x² + x - 1) = x

a)

1

b)

-2

c)

25

d)

6

e)

11

33.

Solve the equation: √(x² + x - 1) = √x

a)

1

b)

1,2

c)

-1

d)

3

e)

2

34.

Solve the equation: √((x + 6)(x + 1)) = 6

a)

-10; 3

b)

-12; 6

c)

10; -3

d)

5; 1

e)

6; -1

35.

Solve the equation: √(x - 2) = 8 - x

a)

6

b)

2

c)

-2

d)

8

e)

-6

36.

Solve the equation: -x² + 4x = 3

a)

1; 3

b)

3; 4

c)

-3; 4

d)

-1; 2

e)

-1; -3

37.

Solve the equation: -x² + 2x + 3 = 0

a)

-1; 3

b)

1; 3

c)

2; 3

d)

3; 5

e)

5; 7

38.

Solve the equation: x³ - 8 = 0

a)

2

b)

3

c)

4

d)

-2

e)

-3

39.

Solve a system of equations: 4х-у=0, х-у=-6

a)

(2; 8)

b)

(3; 2)

c)

(1; 2)

d)

(2; 5)

e)

(2; -5)

40.

Solve a system of equations: 5х+3у=-6, 2х-5у=10

a)

(0; -2)

b)

(1; 2)

c)

(1; 6)

d)

(2; 5)

e)

(5; 1)

41.

Solve a system of equations: 3х+4у=6, х+у=0

a)

(-6; 6)

b)

(1; 5)

c)

(6; 6)

d)

(1; -6)

e)

(2; 6)

42.

Solve the equation: 4ˣ - 10·2ˣ⁻¹ - 24 = 0

a)

(21; 16)

b)

(20; 10)

c)

(1; 2)

d)

(37; 1)

e)

(2; 3)

43.

Solve the system of equations: y = x - 5 and x + y = 37

a)

(21; 16)

b)

(20; 10)

c)

(1; 2)

d)

(37; 1)

e)

(2; 3)

44.

Solve a system of equations: 2х-3у=16 and x+2y=1

a)

(5; -2)

b)

(5; 2)

c)

С) (3; 4)

d)

(1; 5)

e)

(-4; 4)

45.

Solve the system of equations: 2x - 3y = -3 and x + 3y = 21

a)

(6; 5)

b)

(-6; 6)

c)

(5; -6)

d)

(5; 2)

e)

(3; 2)

46.

Solve the system of equations: y - 2x - 1 = 0 and 7x - y = 9

a)

(2; 5)

b)

(2; -5)

c)

(2; 9)

d)

(2; 1)

e)

(6; 4)

47.

Solve the system of equations: x + y = 6 and 3x - 5y = 2

a)

(4; 2)

b)

(1; 2)

c)

(6; -3)

d)

(1; 5)

e)

(-4; 2)

48.

Solve the equation: $\frac{x^2}{x+3} = \frac{x}{x+3}$

a)

0; 1

b)

-3; 3

c)

3; 1

d)

0; 3

e)

1; 2

49.

Solve the equation: $\frac{x^2 - 6x}{x-5} = \frac{5}{5-x}$

a)

1

b)

2

c)

-1; 2

d)

3; 2

e)

4

50.

Solve the equation: $\frac{8}{x} = 3x + 2$

a)

-2; $\frac{4}{3}$

b)

1

c)

1; -2

d)

-3; $\frac{4}{5}$

e)

$\frac{5}{3}$ ; 2

англ 151-200

Total questions: 50

Worksheet time: 25mins

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