Free Printable 25.06.2020

1.

Find $f^`\left(0\right)$ of the function $f\left(x\right)=e^{x^2+2x}$

a)

3

b)

2

c)

0

d)

1

e)

4

2.

Write the following complex number in algebraic (standard) form

$z=\left(1-i^{ }\right)^2+2+i$

a)

$2+i$

b)

$2i$

c)

$2-i$

d)

$i-2$

e)

$-2i$

3.

The width of the rectangle is 3 times less than its length. Find the area of the rectangle, if perimeter is 64cm

a)

120

b)

96

c)

144

d)

216

e)

192

4.

Simplify the following expression

$\frac{1-\cos42^{\degree}}{\sin^221^{\degree}}$

a)

$\sin21^{\degree}$

b)

1

c)

$\tan21^{\degree}$

d)

2

e)

$\cos21^{\degree}$

5.

Reduce the following fraction:

$\frac{11\cdot75}{25\cdot121}$

a)

$\frac{2}{11}$

b)

$\frac{3}{11}$

c)

$\frac{5}{11}$

d)

$\frac{6}{11}$

e)

$\frac{7}{11}$

6.

Find $\angle C_1$ from similar triangles $ABC$ and $A_1B_1C_1$ , if $\angle A=61^{\degree}$ and $\angle B=45^{\degree}$

a)

74

b)

71

c)

84

d)

104

e)

76

7.

Calculate:

$11^{\log_{11}7}+7^{\frac{1}{\log_57}}$

a)

10

b)

9

c)

7

d)

12

e)

15

8.

$\log_4\left(x+7\right)^2=\log_827+\log_25$ Solve the following equation:

a)

-22

b)

8

c)

-22;8

d)

22;8

e)

-8

9.

Which of the following is not correct

a)

The diagonals of trapezoid bisect each other at intersection point

b)

The diagonals of parallelogram bisect each other at intersection point

c)

The diagonals of the square are perpendicular

d)

The diagonals of the rhombus are perpendicular

e)

The diagonals of the rectangle are equal

10.

If $a_1=-2\ and\ a_{20}=-192$ in arithmetic sequence $a_n$ , find $n$ that $a_n=-92$

a)

8

b)

12

c)

15

d)

10

e)

9

11.

Find the value of $x$ from the given system of equation:

a)

3

b)

2

c)

5

d)

1

e)

4

12.

$10\%$ of what number is equal to $\frac{0.48\cdot3.6\cdot0.8}{0.06\cdot1.2\cdot0.3}$

a)

8650

b)

456

c)

568

d)

648

e)

7650

13.

Solve the following expression

a)

99

b)

121

c)

72

d)

110

e)

90

14.

Cross section of the cone is isosceles triangle. If the volume of it is $9\sqrt[]{3}\pi$ , find lateral surface area.

4 lines

15.

Seid, Arif , and Farid have 240 manats. Arif has 2 times more money than Farid, Seid has 10 manats less than Arif. How much money does Seid has?

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16.

If the function $y=kx+b$ intersects with ordinate at M(0,4) and parallel to the line that pass through from A(1,-3) and B(-3,5), find $k\cdot b$

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17.

If the bases of the trapezoid are 6 cm and 10 cm, find the radius of the circle inscribed in a trapezoid

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18.

Two dice rolled and a coin tosed simultaneously. Find the probability to get the same odd number on top of the dice and head on coin at the same time

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19.

If the projection of the AB on the plane $\alpha$ is DE, $AD=2,\ \ AB=2,\ BE=5$ , find the length of BC

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20.

In bar chard the vertex coordinates of the triangle $ABC$ is given. Write the equation of the circle circumscribe around the given triangle

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21.

If in the net of the cube the distance between intersection points M and N of the diagonals of 2 faces is $3\sqrt[]{2}$ , find its edge and volume

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22.

Find the distance from the intersection points of $f\left(x\right)=\sin x\ and\ f\left(x\right)=\cos x$ in the interval $\left[0;\ \frac{\pi}{2}\right]$ to the X axis (Ox)

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23.

In the diagram the set A represent the factors of $x^2+bx+c$ and the set B represent $x^2+mx+n$ . Write the polynomials for set A and set B and find the value of the following expression $b\cdot m+c\cdot n$

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24.

If $-4<x<5$ and $3<y<7$ find the maximum and minimum values of the given expression $-3x+y$

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25.

Calculate:

$\frac{27^{1.2}\cdot4^{0.6}}{3^{0.6}\cdot2^{0.2}}$

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25.06.2020

Total questions: 25

Worksheet time: 1hrs 15mins

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