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Викторина без названия

Total questions: 116

Worksheet time: 58mins

Name
Class
Date
1.

1.     Which of the following best defines a function in mathematical terms?

a)

A map f: X → Y such that for every x ∈ X there exists exactly one y ∈ Y with f(x) = y

b)

A map where each y ∈ Y corresponds to multiple x ∈ X

c)

A set of ordered pairs without any restriction

d)

An expression containing only numerical constants

e)

A graph that passes the horizontal line test

2.

1.     What is the inverse of y = 2^x?

a)

y = log₂(x)

b)

y = x²

c)

y = 1/x

d)

y = √x

e)

y = |x|

3.

1.     Which of the following is NOT a type of function?

a)

Linear-Exponential function

b)

Linear function

c)

Quadratic function

d)

Exponential function

e)

Rational function

4.

1.     Which graph represents a quadratic function?

a)

A U-shaped curve (parabola)

b)

A straight line

c)

An S-shaped curve

d)

A hyperbola

e)

A step graph

5.

1.     Choose the correct statement about functions:

a)

A function has one output for each input

b)

A function can have two outputs for one input

c)

A function must be a straight line

d)

A function is always increasing

e)

All graphs are functions

6.

1.     Which of the following equations is a function?

a)

y = x² + 1

b)

x = ±√y

c)

y² = x

d)

x² + y² = 1

e)

y = ±x

7.

1.     Choose the incorrect statement about functions:

a)

A function may assign multiple outputs to one input

b)

A linear function has the form y = mx + b

c)

A quadratic function has a parabolic graph

d)

The vertical line test is used to check if a graph is a function

e)

Functions can be increasing or decreasing

8.

1.     Translate the term “piecewise function” into English:

a)

A function defined by different expressions over different intervals

b)

A function with a broken graph

c)

A function with a hole

d)

A function that is constant

e)

A function with variables only

9.

1.     Fill in the gap: A (an) __________ function has a graph that never touches the x-axis.

a)

exponential

b)

linear

c)

quadratic

d)

absolute value

e)

constant

10.

Which of the following graphs is not a function?

a)

A circle

b)

A straight line

c)

A linear decreasing graph

d)

A parabola opening upwards

e)

An exponential curve

11.

Identify the function type: y = 1/x

a)

Rational function

b)

Linear function

c)

Quadratic function

d)

Exponential function

e)

Absolute value function

12.

1.     What is the correct translation of “Функцияның анықталу облысы”?

a)

domain of a function

b)

range of a function

c)

definition of a function

d)

value of a function

e)

input of an equation

13.

What is the correct translation of “Функцияның мәні”?

a)

value of a function

b)

domain of a function

c)

type of a function

d)

expression of a function

e)

graph of a function

14.

1.     What is the correct translation of “Функцияның графигі”?

a)

graph of a function

b)

function plot

c)

function line

d)

function shapе

e)

function drawing

15.

What is the correct translation of “Мәндер облысы”?

a)

range

b)

domain

c)

graph

d)

output

e)

function set

16.

1.     What is the correct translation of “Сызықтық функция”?

a)

linear function

b)

straight function

c)

simple function

d)

line-type function

e)

basic function

17.

What is the correct translation of “Квадраттық функция”?

a)

quadratic function

b)

squared function

c)

second-order function

d)

parabolic function

e)

power function

18.

1.     What is the correct translation of “Функция формуламен берілген”?

a)

The function is given by a formula

b)

The function is defined as a rule

c)

The function has a structure

d)

The function is written as a text

e)

The function is set by condition

19.

1.     What is the correct translation of “Функция болмайды”?

a)

is not a function

b)

has no function

c)

isn’t functioning

d)

cannot be a function

e)

does not function

20.

1.     What is the correct translation of “Кері функция”?

a)

inverse function

b)

reversed function

c)

returning function

d)

  negative function

e)

opposite function

21.

What is the correct translation of “функция задана таблично”?

a)

The function is given by a table

b)

The function is written by hand

c)

The function is shown by numbers

d)

The function has a data set

e)

The function is described by a graph

22.

1.     What type of function is y = mx + b?

a)

Linear function

b)

Quadratic function

c)

Exponential function

d)

Cubic function

e)

Logarithmic function

23.

What is the standard form of a quadratic function?

a)

y = ax² + bx + c

b)

y = a/x

c)

y = ab^x

d)

y = log(x)

e)

y = |x|

24.

Which of the following is an exponential function?

a)

y = 2^x

b)

y = x^2

c)

y = √x

d)

y = x + 3

e)

y = log(x)

25.

Which function has a V-shaped graph?

a)

Absolute value function

b)

Quadratic function

c)

Cubic function

d)

Rational function

e)

Logarithmic function

26.

What is the domain of y = 1/x?

a)

All real numbers except 0

b)

All real numbers

c)

Only positive numbers

d)

Only negative numbers

e)

All integers

27.

1.     Which of the following is a rational function?

a)

y = (x + 1)/(x - 2)

b)

y = 3x² + 2x - 1

c)

y = |x|

d)

y = 2^x

e)

y = √x

28.

1.     Which function has a horizontal asymptote?

a)

Exponential function

b)

Linear function

c)

Quadratic function

d)

Absolute value function

e)

Cubic function

29.

1.     Which function is not defined at x = 0?

a)

y = 1/x

b)

y = x²

c)

y = |x|

d)

y = 2x + 1

e)

y = √x

30.

1.     Which of these represents a logarithmic function?

a)

y = log(x)

b)

y = 3x

c)

y = x² + 1        

d)

y = 2^x

e)

y = 1/x

31.

What is the graph of y = x³ called?

a)

Cubic function

b)

Quadratic function

c)

Exponential function

d)

Linear function

e)

Inverse function

32.

1.     What type of function is y = √x?

a)

Square root function

b)

Quadratic function

c)

Exponential function

d)

Linear function

e)

Cubic function

33.

Which function grows the fastest as x increases?

a)

Exponential function

b)

Linear function

c)

Quadratic function

d)

Absolute value function

e)

Logarithmic function

34.

1.     What is the shape of the graph of y = x²?

a)

Parabola

b)

Line

c)

Hyperbola

d)

Exponential curve

e)

Step graph

35.

1.     Which of the following functions is even?

a)

y = x²

b)

y = x³

c)

y = x

d)

y = √x

e)

y = log(x)

36.

1.     Which of the following functions is odd?

a)

y = x³

b)

y = x²

c)

y = |x|

d)

y = √x

e)

y = 2^x

37.

Which function represents exponential decay?

a)

y = (1/2)^x

b)

y = 2^x

c)

y = x²

d)

y = x³

e)

y = log(x)

38.

1.     What is the domain of the square root function y = √x?

a)

x ≥ 0

b)

x ≤ 0

c)

All real numbers

d)

x ≠ 0

e)

Only positive integers

39.

Which function is not continuous over all real numbers?

a)

y = 1/x

b)

y = x²

c)

y = x³

d)

y = 2^x

e)

y = log(x)

40.

What is the range of y = |x|?

a)

y ≥ 0

b)

All real numbers

c)

y ≤ 0

d)

y ≠ 0

e)

y > 0

 

41.

What is the value of the function f(x) = 3x² − 2x at x = 2?

a)

8

b)

10

c)

6

d)

4

e)

0

42.

What is the value of sin(π/2)?

a)

1

b)

0

c)

-1

d)

1/2

e)

√2/2

43.

At which point does the function y = |x| have a sharp corner?

a)

х=0

b)

x=1

c)

x= -1

d)

x=2

e)

It has no corner

44.

What is the minimum value of the function y = x² + 2x + 1?

a)

0

b)

1

c)

-1

d)

-2

e)

2

45.

Which function has a maximum value at x = 0?

a)

y = −x²

b)

y = x²

c)

y = x³

d)

y = |x|

e)

y = √x

46.

What is the value of cos(π)?

a)

-1

b)

0

c)

1

d)

1/2

e)

−√3/2

47.

What is the period of the sine function y = sin(x)?

a)

2π

b)

π

c)

π/2

d)

360

e)

1

48.

At which x does the function y = 1/x have a vertical asymptote?

a)

x = 0

b)

x = 1

c)

x = -1

d)

x = ∞

e)

x = 2

49.

What is the value of the function f(x) = ln(x) at x = 1?

a)

0

b)

1

c)

e

d)

Undefined

e)

-1

50.

1.     Which of the following statements is true for y = tan(x)?

a)

The function has vertical asymptotes at x = ±π/2, ±3π/2, ...

b)

The function is bounded between −1 and 1

c)

The function is even

d)

The function has a period of 2π

e)

The function has no asymptotes

51.

1.     What is the zero of the function f(x) = x − 5?

a)

5

b)

-5

c)

0

d)

1

e)

-1

52.

How many real zeros does the function f(x) = x² + 1 have?

a)

0

b)

1

c)

2

d)

3

e)

Infinite

53.

Which value of x is a zero of the function f(x) = (x − 2)(x + 3)?

a)

2

b)

1

c)

0

d)

-1

e)

5

54.

What are the zeros of f(x) = x(x − 1)(x + 2)?

a)

0, 1, −2

b)

−1, 1, 2

c)

0, −1, −2

d)

1, 2, 3

e)

0, 1, 2

55.

What is the derivative of f(x) = x²?

a)

2x

b)

х

c)

x²

d)

1

e)

0

56.

If a function crosses the x-axis at x = −4, what is true?

a)

f(−4) = 0

b)

f(−4) = 1

c)

f(−4) = -4

d)

f(−4) is undefined

e)

f(−4) > 0

57.

What is the derivative of f(x) = sin(x)?

a)

cos(x)

b)

  • - cos(x)

c)

−sin(x)

d)

tan(x)

e)

1

58.

What is the derivative of a constant function f(x) = c?

a)

0

b)

с

c)

1

d)

х

e)

Undefined

59.

1.     If f(x) = 3x³, what is f '(x)?

a)

9x²

b)

6х

c)

3x²

d)

3x³

e)

9x

60.

The derivative of f(x) = ln(x) is:

a)

1/x

b)

ln(x)

c)

х

d)

e^x

e)

1/(1 + x²)

61.

The derivative of f(x) = e^x is:

a)

e^x

b)

ln(x)

c)

x·e^x

d)

0

e)

1

62.

What is the derivative of f(x) = cos(x)?

a)

−sin(x)

b)

sin(x)

c)

cos(x)

d)

-cos(x)

e)

−tan(x)

63.

If f(x) = x³ − 2x² + x, what is f '(x)?

a)

3x² − 4x + 1

b)

2x − 2

c)

3x − 4

d)

x² − 4x + 1

e)

x³ − x

64.

What does the derivative of a function represent?

a)

The rate of change of the function

b)

The total value of the function

c)

The graph of the function

d)

The area under the curve

e)

The maximum value

65.

1.     Which of the following functions is not differentiable at x = 0?

a)

f(x) = |x|

b)

f(x) = x²

c)

f(x) = sin(x)

d)

f(x) = x³

e)

f(x) = ln(x)

66.

What is the English equivalent for “синус”?

a)

sine

b)

sinus

c)

siner

d)

sinuse

e)

sign

67.

What is the English equivalent for “косинус”?

a)

cosine

b)

cosin

c)

cosinous

d)

kosine

e)

cose

68.

What is the English equivalent for «тангенс»?

a)

tangent

b)

tangen

c)

tanjent

d)

tangant

e)

tangence

69.

What is the English equivalent for «котангенс»?

a)

cotangent

b)

cotangence

c)

cotan

d)

cotanjent

e)

cotanх

70.

1.     What is the English equivalent for « Қарсы жатқан катет »?

a)

opposite side

b)

external side

c)

adjacent side

d)

diagonal

e)

opposite angle

71.

What is the English equivalent for « Қосылған катет »?

a)

adjacent side

b)

next leg

c)

horizontal side

d)

attached side

e)

adjoint line

72.

What is the English equivalent for «гипотенуза»?

a)

hypotenuse

b)

hypothenuse

c)

hipotenuse

d)

horizont

e)

hypothetical line

73.

1.     What is the English equivalent for « Тікбұрышты үшбұрыш »?

a)

right triangle

b)

straight triangle

c)

rectangular triangle

d)

triangular angle

e)

right-angled triangle

74.

What is the English equivalent for « Өткір бұрыш »?

a)

acute angle

b)

sharp angle

c)

sharp angle

d)

tight angle

e)

little angle

75.

What is the English equivalent for «доғал бұрыш»?

a)

obtuse angle

b)

wide angle

c)

dull angle

d)

open angle

e)

large angle

76.

What is the English equivalent for «Тік бұрыш»?

a)

right angle

b)

direct angle

c)

square angle

d)

straight angle

e)

perpendicular angle

77.

What is the English equivalent for « Бірлік шеңбер »?

a)

unit circle

b)

one circle

c)

circle of one

d)

unity circle

e)

basic circle

78.

1.     What is the English equivalent for « Тригонометриялық функция »?

a)

trigonometric function

b)

trigonometry function

c)

trigonometrical function

d)

triangle function

e)

trigonometric form

79.

What is the English equivalent for «Функцияның периоды»?

a)

period

b)

phase

c)

range

d)

interval

e)

wave

80.

What is the English equivalent for «амплитуда»?

a)

amplitude

b)

amplitude

c)

volume

d)

frequency

e)

level

81.

What is the sum of interior angles in a triangle?

a)

180°

b)

90°

c)

360°

d)

270°

e)

120°

82.

What is the sum of interior angles in a quadrilateral?

a)

360°

b)

180°

c)

270°

d)

540°

e)

90°

83.

Which triangle has all sides equal?

a)

Equilateral triangle

b)

Isosceles triangle

c)

Scalene triangle

d)

Right triangle

e)

Acute triangle

84.

A triangle with angles 90°, 60°, and 30° is a:

a)

Right triangle

b)

Equilateral triangle

c)

Scalene triangle

d)

Isosceles triangle

e)

Obtuse triangle

85.

In an isosceles triangle, how many sides are equal?

a)

2

b)

3

c)

1

d)

0

e)

4

86.

Which formula is used to find the area of a triangle?

a)

(1/2) × base × height

b)

base × height

c)

side × side

d)

π × r²

e)

length × width

87.

1.     Which triangle has no equal sides?

a)

Scalene triangle

b)

Equilateral triangle

c)

Isosceles triangle

d)

Right triangle

e)

Obtuse triangle

88.

1.     What is the name of a quadrilateral with two pairs of parallel sides?

a)

Parallelogram

b)

Trapezoid

c)

Kite

d)

Rhombus

e)

Rectangle

89.

Which quadrilateral has four right angles and equal sides?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Trapezoid

e)

Parallelogram

90.

Which shape has only one pair of parallel sides?

a)

Trapezoid

b)

Rectangle

c)

Square

d)

Parallelogram

e)

Rhombus

91.

1.     Which quadrilateral has all sides equal and opposite angles equal?

a)

Rhombus

b)

Rectangle

c)

Trapezoid

d)

Kite

e)

Square

92.

Which formula finds the perimeter of a rectangle?

a)

2 × (length + width)

b)

length × width

c)

4 × side

d)

2 × length

e)

length + width

93.

What is the Pythagorean Theorem?

a)

a² + b² = c²

b)

a² - b² = c²

c)

a × b = c²

d)

a + b = c

e)

a/b = c

94.

1.     What is the height in a triangle?

a)

The perpendicular from a vertex to the opposite side

b)

The longest side

c)

The base

d)

The diagonal

e)

The midpoint

95.

1.     Which of the following has two equal angles and two equal sides?

a)

Isosceles triangle

b)

Scalene triangle

c)

Equilateral triangle

d)

Square

e)

Rhombus

96.

If a triangle has angles of 45°, 45°, and 90°, what type is it?

a)

Isosceles right triangle

b)

Equilateral triangle

c)

Scalene triangle

d)

Acute triangle

e)

Obtuse triangle

97.

What is the name of the longest side in a right triangle?

a)

Hypotenuse

b)

Base

c)

Height

d)

Leg

e)

Diagonal

98.

Which quadrilateral has opposite sides equal and all angles 90°?

a)

Rectangle

b)

Rhombus

c)

Kite

d)

Parallelogram

e)

Trapezoid

99.

If a triangle has all angles less than 90°, it is called:

a)

Acute triangle

b)

Right triangle

c)

Obtuse triangle

d)

Equilateral triangle

e)

Isosceles triangle

100.

What is the area of a square with side length 5?

a)

25

b)

20

c)

10

d)

5

e)

50

101.

1.     Which of the following is the correct way to state the definition of a function?

a)

A function is a relation in which each input has exactly one output

b)

A function is a set of ordered pairs where inputs are not repeated

c)

A function is a set of elements where the output equals the input

d)

A function is a relation that can have multiple outputs for one input

e)

A function is a rule that does not depend on the input

102.

Which of the following is the correct statement for the Pythagorean Theorem?

a)

In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides

b)

In any triangle, the sum of the squares of the sides is equal to the square of the hypotenuse

c)

The sum of the squares of the sides of a triangle equals the sum of the squares of the angles

d)

The sum of the squares of the sides equals the square of the triangle

e)

The square of the hypotenuse equals the sum of the angles of the triangle

103.

Which of the following uses the correct mathematical language for the Law of Sines?

a)

The ratio of the length of a side to the sine of its opposite angle is constant for all sides of a triangle

b)

The ratio of the sine of an angle to the length of its opposite side is constant

c)

The sum of the angles of a triangle is always equal to one

d)

The sine of an angle in a triangle is equal to its cosine

e)

The ratio of the angles to the sides is always constant

104.

Which of the following is the correct way to express the formula for the area of a rectangle?

a)

Area = length × width

b)

Area = length+ width

c)

Area = 2 × length + 2 × width

d)

Area = length² + width²

e)

Area = length × height

105.

1.     Which is the correct mathematical formulation of the triangle inequality theorem?

a)

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side

b)

The sum of the angles of any triangle must be greater than 180°

c)

The sum of the lengths of two sides of a triangle must equal the length of the third side

d)

The sum of the angles of any triangle is equal to 360°

e)

The length of the longest side of a triangle is always greater than the sum of the other two

106.

1.     Which is the correct way to state the definition of an isosceles triangle?

a)

An isosceles triangle is a triangle with at least two sides equal

b)

An isosceles triangle is a triangle with all sides equal

c)

An isosceles triangle has one angle greater than 90°

d)

An isosceles triangle has two angles equal

e)

An isosceles triangle is a triangle with no equal sides

107.

Which is the correct mathematical language for the definition of a parallelogram?

a)

A parallelogram is a quadrilateral with opposite sides parallel and equal

b)

A parallelogram is a quadrilateral with equal sides and angles

c)

А parallelogram is a quadrilateral with two pairs of parallel sides

d)

A parallelogram is a figure with only one pair of parallel sides

e)

A parallelogram is a quadrilateral with opposite angles equal

108.

1.     Which is the correct formulation for the Law of Cosines?

a)

In any triangle, the square of one side equals the sum of the squares of the other two sides minus twice their product times the cosine of the included angle

b)

In any triangle, the sum of the squares of all sides equals the square of the hypotenuse

c)

The square of one side of a triangle is equal to the sum of the squares of the angles

d)

In any triangle, the angles are equal to the square of the sides

e)

The square of the longest side of a triangle is equal to the sum of the other two sides

109.

1.     Which is the correct way to express the perimeter of a square?

a)

Perimeter = 4 × side length

b)

Perimeter = side length²

c)

Perimeter = 2 × side length

d)

Perimeter = 4 × side²

e)

Perimeter = side length × 4

110.

1.     Which of the following is the correct way to express the formula for the volume of a cylinder?

a)

Volume = πr²h

b)

Volume = 2πr²h

c)

Volume = 2πr²

d)

Volume = πr² + h

e)

Volume = πr²h²

111.

What is the correct translation of "медиана" in geometry?

a)

Median

b)

Height

c)

Bisector

d)

Side

e)

Hypotenuse

112.

What is the correct translation of "биіктік" in geometry?

a)

Height

b)

Median

c)

Side

d)

Bisector

e)

Cathetus

113.

1.     What is the correct translation of "биссектриса" in geometry?

a)

Angle bisector

b)

Height

c)

Median

d)

Cathetus

e)

Side

114.

What is the correct translation of "қабырға" in geometry?

a)

Side

b)

Height

c)

Cathetus

d)

Hypotenuse

e)

Median

115.

1.     What is the correct translation of "гипотенуза" in geometry?

a)

Hypotenuse

b)

Side

c)

Height

d)

Leg

e)

Median

116.

What is the correct translation of "катет" in geometry?

a)

Leg / cathetus

b)

Height

c)

Side

d)

Hypotenuse

e)

Median

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