Class Seven - 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 Seven 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 Seven 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.

GCD and LCM of Fractions
Ratio & Proportion
Geometric Shapes
Congruence & Similarity
The Story of Binary Numbers
Let’s Measure a Circle

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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 Range of trigonometric function sine is -

(0, ∞)

(1, ∞)

[-1, 1]

(−∞, ∞)

2 / 30

Every function has -

Both domain and range

Domain only

Codomain only

Both domain and codomain

3 / 30

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

Identical Function

Constant Function

One-One Function

Onto Function

4 / 30

f(x) = x² is –

Even Function

Odd function

5 / 30

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

3x - 6

(3y - 6)/2

(y - 6)/3

(y - 3)/6

6 / 30

Trigonometric functions are also known as -

Circular Functions

Surjective Functions

Inverse Functions

Injective Functions

7 / 30

One to one function is also called -

Inverse Functions

Surjective Functions

Polynomial functions

Injective Functions

8 / 30

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

[0, ∞)

(0, ∞)

[-1, 1]

[0, ∞]

9 / 30

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

R ⊆ A × B

R ≈ A × B

R ⊇ A × B

A ∈ A × B

10 / 30

The domain of trigonometric function sine is -

(1, ∞)

[-1, 1]

(0, ∞)

(−∞, ∞)

11 / 30

f(x) = π is -

An Identical function

A constant function

12 / 30

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

R – {-2}

R

R – {2}

R+

13 / 30

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

Output

Input

Both input and output

None of these

14 / 30

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

{1, 2, 5}

{1, 2, 3, 5}

{2, 3, 4}

{2, 3, 4,5}

15 / 30

The domain of trigonometric function cosine is -

(1, ∞)

(0, ∞)

(−∞, ∞)

[-1, 1]

16 / 30

Determine the range of the function y = Log₂x.

(0, ∞)

[-1, 1]

(-∞, ∞)

[0, ∞]

17 / 30

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

[0, ∞)

(1, ∞)

(−∞, ∞)

[-1, 1]

18 / 30

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

-8

0

-1

6

19 / 30

The range of trigonometric function tangent is -

R - nπ

R - (2n + 1)π/2

(0, ∞)

(−∞, ∞)

20 / 30

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

Constant Function

One – One Function

Identical Function

Onto Function

21 / 30

Onto function is also called -

Injective Functions

Surjective Functions

Polynomial functions

Inverse Functions

22 / 30

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

[-π/2, π/2]

(0, ∞)

[0, π]

[-1, +1]

23 / 30

A domain of the function is the -

None of these

Set of inputs

Set of both input and output

Set of outputs

24 / 30

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

[-1, 1]

[0, ∞]

(0, ∞)

(-∞, ∞)

25 / 30

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

y = f^-1(x)

y = f(x)

x = -f(y)

f(x) = f(y)

26 / 30

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

{0, 1, 2, 3}

{0, 1, 2}

{0, 1, 3}

{1, 2, 3}

27 / 30

sinx is –

An Even Function

An Odd Function

28 / 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?

Yes

No

29 / 30

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

Yes

No

30 / 30

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

No

Yes

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