Quiz about кәсіби шет тілі 1рк

Question 1

In the figure above, lines l and k intersect at point Q. If $$m\degree$$ =40 and $$p\degree$$ =25, what is the value of x?

Accepted Answer

solution of the equation 2x=30

Answer

2 squared

Answer

100

Answer

4 cubed

Answer

square root of 25

Question 2

Which of the following equations is satisfied by the five pairs of numbers listed in the table above?

Accepted Answer

$$y=3x+3$$

Answer

$$y=x^3+3$$

Answer

$$y=-3x+6$$

Answer

$$y=x^2+6$$

Answer

$$y=\frac{x^2+7}{2}$$

Question 3

If n and k are positive integers and $$8^n=2^k$$ what is the value of n/k?

Accepted Answer

one third

Answer

one fourth

Answer

5/6

Answer

two thirds

Answer

five sixths

Question 4

Which of the following is the graph of a function f such that f(x) for exactly two values of x between -5 and 5?

Accepted Answer

Question 5

The result when a number is divided by 2 is equal to the result when that same number is divided by 4. What is that number?

Accepted Answer

0

Answer

1 squared

Answer

square root of 2

Answer

an element of the set M={1, 5, 2}

Answer

5

Question 6

The expression $$x^2-8x+12$$ is equal to 0 when x = 2 and when x= ?

Accepted Answer

cube root of $$6^3$$

Answer

20

Answer

45

Answer

index of a root $$\sqrt[]{25}$$

Answer

the base of a logarithm $$\log_28$$

Question 7

Triangle BDC, shown above, has an area of 48 square units. If ABCD is a rectangle, what is the area of the circle in square units?

Accepted Answer

36 square units

Answer

81 square units

Answer

49 square units

Answer

$$7^2$$ square units

Answer

7*7 square units

Question 8

How called a line segment which connecting the vertex and the midpoint of the opposite side?

Accepted Answer

a median

Answer

a bissectrix

Answer

line

Answer

midline

Answer

ray

Question 9

Kiki is climbing a mountain. His elevation at the start of today is 900 feet. After 12 hours, Kiki is at an elevation of 1,452 feet. On average, how many feet did Kiki climb per hour today?

Accepted Answer

an element of M={46,45,55}

Answer

a proper fraction

Answer

a mixed fraction

Answer

the base of a logarithm $$\log_28$$

Answer

cube root of 81

Question 10

The sum of three consecutive integers is 60. Find the least of these integers.

Accepted Answer

19

Answer

a negative number

Answer

75

Answer

80

Answer

a mixed fraction

Question 11

Which of the following illustrates a distributive principle?

Accepted Answer

$$6\cdot\left(2+4\right)=6\cdot2+6\cdot4$$

Answer

$$\left(6\cdot2\right)+4=4+\left(2\cdot6\right)$$

Answer

$$\left(a\cdot b\right)+c=c+\left(a\cdot b\right)$$

Answer

$$5+4=4+5$$

Answer

$$\left(3+4\right)+5=3+\left(4+5\right)$$

Question 12

If n is a positive integer, which of the following is always odd?

Accepted Answer

18n + 5

Answer

$$19n^2+5$$

Answer

18n + 4

Answer

36n + 10

Answer

19n + 6

Question 13

The average (arithmetic mean) of tand y is 15, and the average of w and x is 15. What is the average of t, w, x and y?

Accepted Answer

30/5

Answer

infinity

Answer

a negative number

Answer

square root of 100

Answer

a proper fraction

Question 14

If (2m)k=6, then mk=

Accepted Answer

cube root of 27

Answer

value of a square root 81

Answer

5

Answer

infinity

Answer

five

Question 15

If 3 times a number is equal to 3/2, what is the number?

Accepted Answer

one second

Answer

a mixed fraction

Answer

index of a root 25

Answer

a quotient of two fractions 1/8*2/9

Answer

not element of M={1/2, 1/3, 1/8}

Question 16

Determine so that the system { kx-2y=11 5x+2y=5 has the unique solution.

Accepted Answer

$$k
e5$$

Answer

k is equal to 15

Answer

k is not equal to 15

Answer

k is equal to 5

Answer

k is not a proper fraction

Question 17

Determine so that the system { kx+15y=12 2x+5y=1 has the unique solution.

Accepted Answer

$$k
e6$$

Answer

k is equal to 1

Answer

$$k
e1$$

Answer

k is a negative number

Answer

k is not a proper fraction

Question 18

If x=20 and y=30 in the figure above, what is the value of z?

Accepted Answer

$$\frac{\pi}{4}+25\degree$$

Answer

$$\frac{\pi}{4}+15\degree$$

Answer

$$25\degree$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\pi+110\degree$$

Question 19

How called a convex quadrilateral with two parallel and two non-parallel sides

Accepted Answer

trapezoid

Answer

rhombus

Answer

parallelogram

Answer

square

Answer

polygon

Question 20

A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and pass the other piece to the next student. Each student was to repeat this process until every student in the class had exactly one piece of rope. Which of the following could be the fraction of the original rope that one of the students had?

Accepted Answer

1/16

Answer

a negative number

Answer

an improper fraction

Answer

a mixed fraction

Answer

1/17

Question 21

Find the root(s) of the equation $$y+\sqrt[]{y+5}=7$$

Accepted Answer

4

Answer

natural logarithm

Answer

trigonometric functions

Answer

rational integral functions

Answer

base of a power $$n^2$$

Question 22

Determine so that the system {kx-2y=11 5x+2y=5 has more then one solution.

Accepted Answer

k is equal to 5

Answer

k is value of a root $$\sqrt[]{81}$$

Answer

k is a proper fraction

Answer

k is not equal to 5

Answer

k is equal to 1

Question 23

Find the equation of the straight line that passes through points (-1, 1) and (0,1).

Accepted Answer

y -1 = 0

Answer

y + 4x - 3 = 0

Answer

y - 2x = 0

Answer

y = x

Answer

y - 4x = 0

Question 24

Determine so that the system {kx+4y=10 3x+6y=15 has more the one solution.

Accepted Answer

k = 2

Answer

k = 7

Answer

$$k
e5$$

Answer

k = 4

Answer

k is value of a root $$\sqrt[]{25}$$

Question 25

In how many points do the graphs of the equations $$x^2+y^2=25$$ and $$y^2=4x$$ intersect?

Accepted Answer

the sum of two numbers 1 and 1

Answer

the base of a logarithm $$\log_58$$

Answer

radicand of a root $$\sqrt[]{7}$$

Answer

a negative number

Answer

a proper fraction

Question 26

The expression $$4x^2-2x+3$$ is equal to 3 when x = 0 and when x =

Accepted Answer

a half

Answer

3/4

Answer

-1/4

Answer

one fourth

Answer

-1/2

Question 27

Which of the following has the greatest value when x= -14?

Accepted Answer

$$\frac{1}{81^x}$$

Answer

$$x^{-1}$$

Answer

$$4x+3$$

Answer

$$16^x$$

Answer

$$-\frac{3}{8x}$$

Question 28

If $$x e0$$ and $$y e0$$ , $$\frac{\frac{xy}{y}+xy}{\frac{xy}{x}}=$$

Accepted Answer

$$\frac{x}{y}+x$$

Answer

$$\frac{x}{y}-y$$

Answer

$$\frac{x}{y}+y$$

Answer

$$\frac{2x}{y}+4$$

Answer

$$2\cdot\frac{x}{y}$$

Question 29

Find the equation of the straight line that passes through the origin and is parallel to the straight line $$y=4x+3$$

Accepted Answer

y = 4x

Answer

y = 3x;

Answer

y = 4x +1;

Answer

y = x - 2;

Answer

y-4x=0

Question 30

Find the equation of the straight line that passes through the origin and is parallel to the straight line $$y=\frac{1}{2}x+1$$

Accepted Answer

$$y=\frac{1}{2}x$$

Answer

y=4x+2

Answer

y=x-7

Answer

y=x

Answer

y=4x

Question 31

A triangle with (at least) two equal sides is called

Accepted Answer

an isosceles triangle

Answer

an equilateral triangle

Answer

a right triangle

Answer

acute-angled triangle

Answer

scalene triangl

Question 32

Which of the following is an irrational number?

Accepted Answer

$$\left(\sqrt[]{32}\right)^3$$

Answer

$$-\left(\sqrt[]{3}\sqrt[]{3}\right)$$

Answer

$$\sqrt[]{\frac{4}{9}}$$

Answer

$$4^{-3}$$

Answer

$$\sqrt[]{2}\sqrt[]{72}$$

Question 33

Which of the following expressions is undefined when x=-2?

Accepted Answer

$$\frac{x^2+2x+2}{x^2+6x+8}$$

Answer

$$\frac{2x+2}{x-8}$$

Answer

$$y=\frac{x+2}{x-2}$$

Answer

$$y=\frac{2x+4}{x^2+4x+4}$$

Answer

$$y=\frac{x^2+3x+2}{-x^2+2}$$

Question 34

If $$\frac{a}{b-4}=\frac{4b}{a}+1$$ , then when a=8, b could be equal to

Accepted Answer

-4;6

Answer

infinity

Answer

a mixed fraction

Answer

value of a root $$\sqrt[]{25}$$

Answer

-6;4

Question 35

Line AC is a diagonal of square ABCD. What is the sine of angle ACB?

Accepted Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\sqrt[]{2}$$

Answer

2

Question 36

$$\frac{\frac{b}{a}-a}{\frac{1}{a^{-1}}}$$ is equivalent to

Accepted Answer

$$\frac{b}{a^2}-1$$

Answer

$$\frac{b-1}{a^2}$$

Answer

$$\frac{b}{a^2}$$

Answer

$$\frac{b-a^2}{ab}$$

Answer

$$\frac{b+a^2-b^2}{a^2}$$

Question 37

All of the following are less than 2/5 EXCEPT

Accepted Answer

3/7

Answer

1/5

Answer

3/8

Answer

0,04

Answer

0.0404

Question 38

If 3x-y=2 and 2y-3x=8, which of the following is equal to $$\frac{x}{y}$$ ?

Accepted Answer

2/5

Answer

a negative number

Answer

a mixed fraction

Answer

an improper fraction

Answer

value of a root $$\sqrt[]{\frac{4}{8}}$$

Question 39

Which of the following sets of numbers contains all and only the roots of the equation $$f(x)=x^3+7x^2-8x$$ ?

Accepted Answer

{0, -8, 1}

Answer

{0, 2, -1}

Answer

{0, 8, 1}

Answer

{0, -1}

Answer

{0, -7; 1}

Question 40

An empty crate weighs 8.16 kg and an orange weighs 220 g. If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

Accepted Answer

12

Answer

thirty

Answer

fifty

Answer

twenty

Answer

one hundred and twenty

Question 41

A box contains five blue pens, three black pens, and two red pens. If every time a pen is selected, it is removed from the box, what is the probability of selecting a black pen followed by a blue pen?

Accepted Answer

1/6

Answer

the sum of two unlike fractions 2/7*3/7

Answer

cube root of 1/8

Answer

the antilogarithm of a logarithm
$$\log_28$$

Answer

an improper fraction

Question 42

It takes eight people 12 hours to clean an office. How long would it take six people to clean the office?

Accepted Answer

16 hours

Answer

9 hours

Answer

2 hours

Answer

4 hours

Answer

15 hours

Question 43

Greg has nine paintings. The Hickory Museum has enough space to display three of them. From how many different sets of three paintings does Greg have to choose?

Accepted Answer

the product of two numbers 12 and 7

Answer

value of a root $$\sqrt[]{25}$$

Answer

the sum of two unlike fractions 1\7
and 2\5

Answer

the value of a logarithm $$\log_28$$

Answer

27

Question 44

Given the following figure with one tangent and one secant drawn to the circle, what is the measure of angle ADB?

Accepted Answer

25 degrees

Answer

50 degrees

Answer

110 degrees

Answer

85 degrees

Answer

60 degrees

Question 45

Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon. If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

Accepted Answer

$600

Answer

$300

Answer

$500

Answer

$800

Answer

$200

Question 46

If $$\frac{ab}{c}=d$$ and a and c are doubled, what happens to the value of d?

Accepted Answer

The value of d remains the same

Answer

The value of d is four times smaller

Answer

The value of d is doubled

Answer

The value of d is halved

Answer

The value of d is four times greater

Question 47

In the diagram above, line OA is congruent to line OB. What is the measure of arc CD?

Accepted Answer

$$\pi-110\degree$$

Answer

55 degrees

Answer

27.5 degrees

Answer

125 degrees

Answer

110 degrees

Question 48

The volume of a glass of water placed in the sun decreases by 20%. If there are 240 mL of water in the glass now, what was the original volume of water in the glass?

Accepted Answer

300 mL

Answer

260 mL

Answer

288 mL

Answer

192 mL

Answer

360 mL

Question 49

How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?

Accepted Answer

The area is nine times larger

Answer

The area is six times larger

Answer

The area is tripled

Answer

The area remains the same

Answer

The area cannot be determined

Question 50

In the diagram above, angle A is congruent to angle BED, and angle C is congruent to angle D. If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle $$BED=5a^2+10$$ , what is area of triangle ABC?

Accepted Answer

$$125\sqrt[]{a^4}+250$$

Answer

$$5𝑎^2+10$$

Answer

$$25𝑎^2+50$$

Answer

$$25𝑎^2+100$$

Answer

$$125a^2$$

Question 51

The number p is greater than 0, a multiple of 6, and a factor of 180. How many possibilities are there for the value of p?

Accepted Answer

8

Answer

the sum of two unlike fractions 1\3 and 2\5

Answer

base of a power $$7^2$$

Answer

index of a root $$\sqrt[]{25}$$

Answer

the antilogarithm of a logarithm $$\log_29$$

Question 52

What is the slope of the line -3y=12x-3?

Accepted Answer

-4

Answer

-3

Answer

1

Answer

4

Answer

12

Question 53

A spinner is divided into eight equal regions, labeled one through eight. If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

Accepted Answer

1\8

Answer

an improper fraction

Answer

1\3

Answer

a complex number

Answer

square root of 7

Question 54

Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds. If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

Accepted Answer

5.3 seconds

Answer

5.4 seconds

Answer

5.5 seconds

Answer

6.3 seconds

Answer

5.6 seconds

Question 55

A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two choices for the body of the guitar, and six choices for the color of the guitar. The music store offers

Accepted Answer

48 different guitars

Answer

24 different guitars

Answer

16 different guitars

Answer

12 different guitars

Answer

36 different guitars

Question 56

Which of the following is the set of positive factors of 12 that are NOT multiples of 2?

Accepted Answer

{1, 3}

Answer

{2,4, 6,12}

Answer

{}

Answer

{1}

Answer

{1,2,3}

Question 57

Define function type $$y=kx+b$$

Accepted Answer

Linear function

Answer

Logarithmic function

Answer

Exponential function

Answer

Power function

Answer

Trigonometric functions

Question 58

What is the addition?

Accepted Answer

It is the operation of combining
numbers, each of which represents a
separate measure of quantity, so as to
produce a number representing the
measure of all those quantities
together

Answer

It is the operation of finding a number
which gives a measure of the
difference in size between two
quantities or measures.

Answer

It is the operation which combines
several equal measures of size giving
the result as a single number.

Answer

It is operation inverse to
multiplication

Answer

It is the finding of a quantity, the
quotient, that when multiplied by a
given quantity, the divisor, gives
another given quantity, the dividend

Question 59

In a class of 25 boys, 17 boys play football, 12 boys play basketball and 5 boys play both games. How many boys don't play any game?

Accepted Answer

1

Answer

4

Answer

3

Answer

2

Answer

0

Question 60

A survey of 50 students in a college showed the following: 23 students take Maths, 25 take English, 26 take Physics, 11 take Maths and English, 13 take Maths and Physics, 9 take English and Physics, and 2 take Maths and English and Physics. How many students don't take any of the subjects?

Accepted Answer

7

Answer

value of a root $$\sqrt[]{81}$$

Answer

6

Answer

8

Answer

9

Question 61

Let $$u=\left(-4,3\right)$$ , $$v=\left(-9,12\right)$$ be vectors in $$R^2$$ . Find the angle between these
vectors

Accepted Answer

arccos $$\frac{2}{3}$$

Answer

arccos $$\frac{1}{4}$$

Answer

$$\frac{\pi}{2}$$

Answer

0

Answer

cube root of 1

Question 62

Find the slope and the segment cut out on the y-axis of the straight line x+y-5=0.

Accepted Answer

5: -1

Answer

1;5

Answer

4;1

Answer

-5: 1

Answer

-2: 6

Question 63

Evaluate $$\frac{0.01-0.1}{0.27}+\frac{0.01-0.1}{0.9}$$ .

Accepted Answer

The value of expression is equal to ( $$-\frac{13}{30}$$ )

Answer

The value of expression is equal to ( $$-\frac{5}{9}$$ )

Answer

The value of expression is logarithmic
expression

Answer

The value of expression is inverse
trigonometric functions

Answer

The value of expression is equal to $$\frac{2}{3}$$

Question 64

If we multiply a number by 2 and add 8, the result is 32. Find the number.

Accepted Answer

12

Answer

10

Answer

16

Answer

18 cubed

Answer

index of a root $$\sqrt[]{12}$$

кәсіби шет тілі 1рк

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