Class Eight - 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 Eight 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 Eight 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.

Mathematical Exploration
Real numbers in everyday life
Finding binomial & Trinomial expressions using solids
Let us build our future with small savings
Coordinate Geometry in location maps
Ins and outs of circles
Application of Symmetry in Measurement
The Binary Number System

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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

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

Onto Function

One-One Function

Identical Function

Constant Function

2 / 30

One to one function is also called -

Inverse Functions

Surjective Functions

Injective Functions

Polynomial functions

3 / 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

4 / 30

Trigonometric functions are also known as -

Inverse Functions

Injective Functions

Circular Functions

Surjective Functions

5 / 30

The range of trigonometric function tangent is -

R - (2n + 1)π/2

R - nπ

(0, ∞)

(−∞, ∞)

6 / 30

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

x = -f(y)

y = f^-1(x)

y = f(x)

f(x) = f(y)

7 / 30

f(x) = x² is –

Odd function

Even Function

8 / 30

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

[0, ∞]

[-1, 1]

(0, ∞)

(-∞, ∞)

9 / 30

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

R+

R

R – {2}

R – {-2}

10 / 30

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

Yes

No

11 / 30

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

3x - 6

(y - 3)/6

(3y - 6)/2

(y - 6)/3

12 / 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

13 / 30

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

{2, 3, 4,5}

{1, 2, 3, 5}

{1, 2, 5}

{2, 3, 4}

14 / 30

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

Both input and output

Input

Output

None of these

15 / 30

A domain of the function is the -

Set of outputs

Set of inputs

Set of both input and output

None of these

16 / 30

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

No

Yes

17 / 30

Determine the range of the function y = Log₂x.

[0, ∞]

(-∞, ∞)

(0, ∞)

[-1, 1]

18 / 30

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

[-π/2, π/2]

[0, π]

(0, ∞)

[-1, +1]

19 / 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, ∞)

(−∞, ∞)

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 -

Onto Function

Identical Function

One – One Function

Constant Function

21 / 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}

{0, 1, 2}

{1, 2, 3}

22 / 30

The domain of trigonometric function cosine is -

(1, ∞)

(0, ∞)

(−∞, ∞)

[-1, 1]

23 / 30

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

[-1, 1]

[0, ∞]

[0, ∞)

(0, ∞)

24 / 30

The Range of trigonometric function sine is -

(−∞, ∞)

(1, ∞)

[-1, 1]

(0, ∞)

25 / 30

f(x) = π is -

An Identical function

A constant function

26 / 30

The domain of trigonometric function sine is -

[-1, 1]

(−∞, ∞)

(1, ∞)

(0, ∞)

27 / 30

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

6

-1

-8

0

28 / 30

Onto function is also called -

Injective Functions

Polynomial functions

Surjective Functions

Inverse Functions

29 / 30

Every function has -

Domain only

Both domain and range

Both domain and codomain

Codomain only

30 / 30

sinx is –

An Odd Function

An Even Function

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