Class Six - Prottoy Math

Mathematics is not a difficult subject at all. Math taught properly with examples will be effective and easy to understand. The Math section of Class Six provides chapter-based live tests of math’s books mainly keeping that aspect in mind. Each question is reviewed multiple times so the answers are almost accurate. Explanations have been added to support answers to questions.

If you catch a mistake in a math question, you can correct the mistake and provide self-explanation or feedback to the question yourself.

Let’s take a look at the key features of Class Six Mathematics section –

Opportunity to prepare chapter wise in light of syllabus.
Solutions to almost every question with explanation.
Opportunity to prepare through Live Exams.
Opportunities for time management and competency verification by participating in exams.
You can also correct mistakes and provide self-explanations or feedback on self-questions by contacting us.
In case of any mistake, you can also inform the authorities.

All in all, Prottoy Maths Academic can be your best friend for school competitions and competitive exams.

The Story of Numbers
The World of Integers
Story of Prime Factors
The Game of Fractions
Unitary Method, Percentages and Ratio
Measurement of Length
World of Algebraic Expressions
Linear Equation
Set the Formula, get the Formula
The Story of Geometric Shapes
Information Investigation and Analysis

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Functions

Test yourself in Functions in Math Questions! You have only 10 minutes to complete the test and if you do not answer any question within the allotted time, it will be counted as incorrect. You can skip questions by clicking "NEXT" button and go back to previous questions by "PREVIOUS" button. You need to get minimum 50% marks to pass the quiz. Click on the "START" button to participate in the quiz.

1 / 30

The domain of trigonometric function sine is -

(−∞, ∞)

(0, ∞)

(1, ∞)

[-1, 1]

2 / 30

Is the following relation a function?
{(-2,3), (1, -5), (2, 3), (4, -1), (-1, -3), (-2, 4)}

Yes

No

3 / 30

The Range of trigonometric function sine is -

(−∞, ∞)

[-1, 1]

(0, ∞)

(1, ∞)

4 / 30

Trigonometric functions are also known as -

Inverse Functions

Circular Functions

Injective Functions

Surjective Functions

5 / 30

Find the domain of the relation: S = {(2, 1), (2, 2), (3, 2), (4, 5)}

{2, 3, 4}

{2, 3, 4,5}

{1, 2, 3, 5}

{1, 2, 5}

6 / 30

The domain of trigonometric function cosine is -

(−∞, ∞)

(0, ∞)

(1, ∞)

[-1, 1]

7 / 30

One to one function is also called -

Surjective Functions

Inverse Functions

Injective Functions

Polynomial functions

8 / 30

If x is an independent variable and y is a dependent variable. Then the function denoted by -

x = -f(y)

y = f(x)

f(x) = f(y)

y = f^-1(x)

9 / 30

If f(x) = x² - 4x + 3, then value of f(- 1) = ?

-8

-1

6

0

10 / 30

sinx is –

An Even Function

An Odd Function

11 / 30

In a function, f(x), x represents -

Input

None of these

Output

Both input and output

12 / 30

A domain of the function is the -

Set of outputs

None of these

Set of inputs

Set of both input and output

13 / 30

f(x) = π is -

A constant function

An Identical function

14 / 30

A function f: R → R is defined is defined as y²= x² - 16. Find the range of the function f.

[-1, 1]

(−∞, ∞)

[0, ∞)

(1, ∞)

15 / 30

Determine the range of the real function: F(x) = | x |

[0, ∞]

[0, ∞)

(0, ∞)

[-1, 1]

16 / 30

Which of the following is the inverse function of f (x) = 3x - 6?

(3y - 6)/2

(y - 3)/6

(y - 6)/3

3x - 6

17 / 30

Find the domain of the real-valued function: 1/ (x - 2)

R – {-2}

R+

R

R – {2}

18 / 30

Every function has -

Domain only

Both domain and codomain

Codomain only

Both domain and range

19 / 30

If R is a relation from the set B to C, then which is true?

R ⊇ A × B

A ∈ A × B

R ⊆ A × B

R ≈ A × B

20 / 30

What is the domain of the function y = 2^x.

(-∞, ∞)

(0, ∞)

[0, ∞]

[-1, 1]

21 / 30

A function is called an onto function if each element in the co-domain has at least one pre–image in the domain. Is it True?

No

Yes

22 / 30

Determine the range of the function y = Log₂x.

(0, ∞)

(-∞, ∞)

[-1, 1]

[0, ∞]

23 / 30

Onto function is also called -

Injective Functions

Inverse Functions

Surjective Functions

Polynomial functions

24 / 30

R = {(x, y): x ∈ A, y ∈ A and y = x + 1}, where A = {0, 1, 2, 3}. Find Range of R.

{0, 1, 3}

{0, 1, 2, 3}

{1, 2, 3}

{0, 1, 2}

25 / 30

The range of trigonometric function tangent is -

(−∞, ∞)

(0, ∞)

R - (2n + 1)π/2

R - nπ

26 / 30

If each element in the domain of a function has a distinct image in the co-domain, the function is said to be -

Onto Function

One – One Function

Constant Function

Identical Function

27 / 30

The range of inverse trigonometric function sin^-1x is -

(0, ∞)

[-π/2, π/2]

[0, π]

[-1, +1]

28 / 30

f(x) = x² is –

Odd function

Even Function

29 / 30

A function f : R → R given by f(x) = 7x + 5 is -

One-One Function

Identical Function

Constant Function

Onto Function

30 / 30

A function is always a relation but vice versa is not true.

No

Yes

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