math assignment for class 10

Class 10 Maths Chapter 1 Assignments

Class 10 Maths Chapter 1 Real Numbers Assignments and Worksheets with solutions and answers updated for academic session 2024-25. All the chapter is divided into 4 assignments taking easy, average, and difficult questions. These set of questions provide a complete revision for the preparation of CBSE and State board exams 2024-25.

CBSE NCERT Class 10 Maths Chapter 1 Real Numbers Assignments

• Class 10 Maths Chapter 1 Real Numbers Assignments 1
• Class 10 Maths Chapter 1 Real Numbers Assignments 1 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 2
• Class 10 Maths Chapter 1 Real Numbers Assignments 2 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 3
• Class 10 Maths Chapter 1 Real Numbers Assignments 3 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 4
• Class 10 Maths Chapter 1 Real Numbers Assignments 4 Solutions
• Class 10 Maths Chapter 1 Real Numbers Solution Page

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There are 4 assignments and worksheets. Assignments contains MCQ, Fill in the Blanks, and True false questions. We have covered every topic in the chapter 1 of class 10 Maths. Answers and solutions of each assignment is also given free to use. Students can download these assignments and solve themselves. After solving they can check the answers given on website.

There are some easy questions based on understanding only. Some questions contains tricky methods and 17 percent questions are little bit difficult one. Students need to put effort to explore these questions. These assignments are guarantee to get good marks in exams. The questions based on Case Study will also be included in later chapters.

Download links are given for each assignments. Download and print it and solve it. Match the answers and solutions given on website to know the accuracy. Assignments are deign level wise, so do the first assignment first and the fourth assignment in the last.

Please suggest us, if any, about these assignments, so that we can improve the quality of the contents. We are preparing assignments for all the chapters. Gradually it will be uploaded before the final exams. Students are advised to solve these assignments to prepare the chapter and get confidence in topics.

Are assignments helpful in final exams?

Assignments are helpful in the revision of chapter as well as preparation for exams.

How many assignment should do to prepare the chapter?

At least 3 or 4 assignments which cover the entire chapter will be sufficient to know the chapter well.

How do solve the assignment?

Do yourself each assignment. If a part of assignment is not cleared or creating confusion, discuss with your classmate or teachers and solve it again.

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NCERT Solutions For Class 10 Maths

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NCERT Solutions for Class 10 Maths Chapter-Wise PDF Free Download

NCERT Solutions for Maths serve as a valuable resource for students navigating the complexities of mathematics at the 10th-grade level. These solutions are specifically designed to complement the NCERT class 10 Maths book PDF , offering clear explanations and step-by-step solutions to problems. The aim is to make mathematical concepts more accessible and understandable for students. Students can rely on these solutions to reinforce their understanding of fundamental mathematical principles and enhance problem-solving skills. One notable advantage of NCERT Solutions Class 10 Maths is their alignment with the curriculum prescribed by the Central Board of Secondary Education (CBSE) . This ensures that students are well-prepared for their board exams, as the solutions closely follow the CBSE class 10th maths guidelines and exam patterns.

Chapter-Specific NCERT Solutions for Class 10 Maths

Given below are the chapter-wise NCERT Solutions for Class 10 Maths . You can use it as your 10th maths guide . Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

Note: The chapters on constructions have been excluded from the Class 10 Maths textbook for the 2024-25 academic year.

Glance on NCERT Solutions for Class 10 Maths | Vedantu

NCERT Solutions for Class 10 Maths for all the chapters and exercises from Chapters 1 to 14 are provided.

Practicing the textbook questions using these solutions can help students analyze their level of preparation and understanding of concepts.

The link also provides details about the exam pattern, marks weightage, and question paper design for CBSE Class 10 Maths.

The chapters include topics like Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Triangles, Coordinate Geometry, Introduction to Trigonometry, and more.

It also provides resources such as class notes, important questions and formulas, exemplar solutions, and other recommended books for further reference.

Get an idea about “ How will the Paper of NCERT Class 10 Maths be Conducted? ”

NCERT Solutions for Class 10 Maths Chapter Details, Formulas and Exercises PDF

Chapter 1 - real numbers.

In Class 10, Chapter 1 introduces real and irrational numbers. It begins with Euclid’s Division Lemma, stating that if you have two positive numbers, a and b, you can divide a by b and get a unique quotient q and remainder r. Euclid’s Division algorithm uses this idea to find the Highest Common Factor (HCF) of two positive numbers. Then, the chapter talks about the Fundamental Theorem of Arithmetic, which helps find both the Lowest Common Multiple (LCM) and HCF of two positive numbers. Lastly, it covers irrational and rational numbers, along with their decimal forms, using this theorem.

Topics Covered in Class 10 Maths Chapter 1 Real Numbers :

Real Numbers

Euclid’s Division Lemma

Fundamental Theorem of Arithmetic

Irrational Numbers

Rational Numbers

Important Steps:

The Fundamental Theorem of Arithmetic talks about how every number can be expressed as a unique product of prime numbers. To understand this, we look at examples and reasons. We also prove that $sqrt{2}, \sqrt{3},$ and $\sqrt{5}$ are irrational.

To find the highest common factor (HCF) of two positive numbers, follow these steps:

Use Euclid’s division method to divide the larger number by the smaller one. This gives a quotient and a remainder.

If the remainder is zero, the smaller number is the HCF. If not, repeat the division with the smaller number and the remainder.

Keep repeating this process until the remainder becomes zero. The divisor at this stage will be the HCF. This works because the HCF of two numbers is the same as the HCF of the smaller number and the remainder.

Students can access extra study materials for Real Numbers on Vedantu. These resources are available for download, offering additional support for your studies.

Real Numbers Important Questions

Real Numbers Important Formulas

Real Numbers Revision Notes

Real Numbers NCERT Exemplar Solutions

Real Numbers RD Sharma Solutions

Chapter 2 - Polynomials

The Polynomials chapter covers different types of polynomials like linear, quadratic, and cubic. It starts by explaining what the degree of a polynomial means. There are four exercises in total, one of which is optional.

Exercise 2.1 focuses on figuring out the number of zeroes using graphs. You'll need to understand what zeroes of a polynomial mean in terms of geometry.

Exercise 2.2 is about the connection between zeroes and coefficients of a polynomial. You'll be finding zeroes of quadratic polynomials and sometimes even figuring out the polynomial itself.

Exercise 2.3 introduces the division algorithm concept, with related questions.

The optional exercise, 2.4, combines questions from all the concepts in Chapter 2.

Focus on the steps to derive the Division Algorithm for polynomials as it is an important concept in the chapter.

Topics Covered in Class 10 Polynomials

Zeros of a polynomial. 

Relationship between zeroes 

Coefficients of quadratic polynomials only.

Arrange in Standard Form: First, we line up the terms of the numbers we're dividing so that the highest powers come first. This is called the standard form.

Step 1 - To get the first term of the quotient, divide the dividend's highest degree term by the divisor's highest degree term. Then, complete the dividing procedure.

Step 2 - To calculate the second term of the quotient, divide the highest degree term of the new dividend by the divisor's highest degree term. Continue the dividing process.

Step 3 - Now, the remainder's degree is smaller than the divisor's. So we can't prolong the separation any further.

Dividend = Divisor × Quotient + Remainder. What we are doing here is using an approach similar to Euclid's division algorithm, which you discussed in Chapter 1.

This states that.

If p(x) and g(x) are two polynomials with g(x) ≠ 0, we may find polynomials q(x) and r(x) such that

P(x) = g(x) × q(x) + r(x).

Where r(x) = 0 or  degree of r(x) <  degree of g(x).

This conclusion is referred to as the Division Algorithm for Polynomials.

Students can access extra study materials for Polynomials on Vedantu. These resources are available for download, offering additional support for your studies.

Polynomials Important Questions

Polynomials Important Formulas

Polynomials Revision Notes

Polynomials NCERT Exemplar Solutions

Polynomials RD Sharma Solutions

Chapter 3 - Pair of Linear Equations in Two Variables

Chapter 3 is about the linear equations in two variables. There are 7 exercises in this section. It explains what two-variable linear equations are and how to solve them.

Exercise 3.1, representing a problem or situation algebraically and graphically is taught. 

Exercise 3.2, depicts the methods of solving linear equations by graphical method.

Exercises 3.3, 3.4, 3.5 and 3.6 explain different methods for solving pairs of linear equations: algebraic, cross-multiplication, elimination, and substitution. 

Exercise 3.7  is an optional exercise as it has questions from all the previous exercises.

Topics Covered in Class 10 Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. 

Algebraic conditions for number of solutions. 

Solution of a pair of linear equations in two variables algebraically – by substitution and by elimination. 

Simple situational problems. 

Simple problems on equations reducible to linear equations.

A pair of two-variable linear equations and a graphical technique for solving them, as well as consistency and inconsistency. Number of solutions is subject to algebraic conditions. Solve a pair of linear equations in two variables algebraically - using substitution and elimination. Simple situational problems.

The equations typically look like this:

The general form for a pair of linear equations in two variables, x and y, is

$a_1 x + b_1 y + c_1 = 0$

and $a_2 x + b_2 y + c_2 = 0$

where $a_1, b_1, c_1, a_2, b_2, c_2$ are real numbers

To solve them algebraically, you can use substitution or elimination methods.

Here are some key formulas to remember:

$a_1^2 + b_1^2 \neq 0$

$a_2^2 + b_2^2 \neq 0$

Students can access extra study materials for Pair of Linear Equations in Two Variables on Vedantu. These resources are available for download, offering additional support for your studies.

Pair of Linear Equations in Two Variables Important Questions

Pair of Linear Equations in Two Variables Important Formulas

Pair of Linear Equations in Two Variables Revision Notes

Pair of Linear Equations in Two Variables NCERT Exemplar Solutions

Pair of Linear Equations in Two Variables RD Sharma Solutions

Chapter 4 - Quadratic Equations

Chapter 4 focuses on quadratic equations. This chapter defines a quadratic equation and discusses several strategies for solving them. It also goes over the factorization approach for solving quadratic equations and the square method. The chapter describes the links between discriminants and the nature of roots. This chapter also provides instances of real-world challenges that have been solved. The chapter concludes with a discussion of determining the roots of a quadratic equation $ax^2 + bx + c = 0$.

If $b^2 - 4ac > 0$, the equation has two unique real roots.

Find two equal roots of $b^2 - 4ac = 0$.

No genuine roots if $b^2 - 4ac < 0$.

Topics Covered in Class 10 Quadratic Equations

Standard form of a quadratic equation ax 2 + bx + c = 0, (a ≠ 0). 

Solutions of quadratic equations (only real roots) by factorization, and by using the quadratic formulas. 

Relationship between discriminant and nature of roots. 

Situational problems based on quadratic equations.

The conventional form of a quadratic equation is $ax^2 + bx + c = 0$ where a ≠ 0. Quadratic equations (only real roots) can be solved by factoring and applying the quadratic formula. Relationship between the discriminant and the nature of roots.

Situational questions based on quadratic equations relating to daily activities have to be included.

If $b^2 - 4ac > 0$, we obtain two unique real roots.   

$-\dfrac{b}{2a}+\dfrac{\sqrt{b^2-4ac}}{2a}$ and $-\dfrac{b}{2a}-\dfrac{\sqrt{b^2-4ac}}{2a}$

If $b^2 - 4ac = 0$, then 

$x=-\dfrac{b}{2a}\pm 0$

So, the roots of the equation $ax^2 + bx + c = 0$ are both $-\dfrac{b}{2a}$.

As a result, we may conclude that the quadratic equation $ax^2 + bx + c = 0$ has two equal real roots in this situation.

If $b^2 - 4ac < 0$, there is no real number whose square equals $b^2 - 4ac$. As a result, the above quadratic equation does not have any real roots.

The discriminant of the quadratic equation $ax^2 + bx + c = 0$ is defined as $b^2 - 4ac$.

So, a quadratic equation $ax^2 + bx + c = 0$ has

(i) two distinct real roots, if $b^2 - 4ac > 0$,

(ii) two equal real roots, if $b^2 - 4ac = 0$,

(iii) no real roots, if $b^2 - 4ac < 0$.

Students can access extra study materials for Quadratic Equations on Vedantu. These resources are available for download, offering additional support for your studies.

Quadratic Equations Important Questions

Quadratic Equations Important Formulas

Quadratic Equations Revision Notes

Quadratic Equations NCERT Exemplar Solutions

Quadratic Equations RD Sharma Solutions

Chapter 5 - Arithmetic Progressions

This chapter introduces a new topic to the students - Arithmetic Progression, commonly called AP. The chapter constitutes a total of 4 exercises. Learn what AP is, the derivation of the nth term, finding the sum of first n terms of the AP and solving the real-life problems using AP in this chapter.

Exercise 5.1 of the chapter teaches how to represent a problem or situation in the form of AP, how to find the first term and difference of the AP and to find whether the given series is AP or not. 

Exercise 5.2 explains how to find the nth term of the AP using the formula. 

$a_n = a + (n-1) d$

Exercise 5.3 describes how to find the sum of the first n terms of AP and contains questions related to the topic. 

Exercises 5.4 have questions related to the topics taught in the chapter.

Topics Covered in Class 10 Arithmetic Progressions

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

Important Formulas

The sequence $a_1, a_2, a_3, a_4, a_5, a_6,…$ of AP terms is written as a, a+d, a+2d, a+3d, a+4d, a+5d, …., nth term , where $a_n$ is the initial term, d is the common difference between each term.

The nth term for arithmetic progression is given as,

$a + (n-1) d$

Sum of the first n terms in Arithmetic Progression.

$S_n = \dfrac{n}{2}[2a + (n-1) d]$.

Students can access extra study materials for Arithmetic Progressions on Vedantu. These resources are available for download, offering additional support for your studies.

Arithmetic Progressions Important Questions

Arithmetic Progressions Revision Notes

Arithmetic Progressions NCERT Exemplar Solutions

Arithmetic Progressions RD Sharma Solutions

Chapter 6 - Triangles

Chapter 6 of class 10 gives details about the triangles. The chapter gives details about the figures with the same shape but different sizes. It explains the similarity of the triangles, theorems associated with the similarity of triangles and the concept of congruent triangles. Further, theorems related to areas of triangles, the Pythagoras theorem and the converse of Pythagoras theorem is explained.

Topics Covered in Class 10 Triangles

Concept of a similar and congruent figure

Theorems related to the similarity of triangles

Areas of similar triangles

Pythagoras Theorem and converse of Pythagoras Theorem

Definitions, Examples, and Counterexamples for Similar Triangles.

If a line is drawn parallel to one side of a triangle and intersects the other two sides at separate spots, the remaining two sides are split in the same ratio - Prove

A line that splits two sides of a triangle in the same ratio is parallel to the third side - Motivate

If the angles of two triangles are equal, the sides are proportionate, and the triangles are identical - Motivate

If the sides of two triangles are proportionate, their angles are equal, and the triangles are identical - Motivate

If one angle of a triangle equals one angle of another triangle, and the sides that include these angles are proportionate, the two triangles are comparable - Motivate

Important Theorems:

Theorem 6.1: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Theorem 6.2: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Theorem 6.3: If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are similar.

Theorem 6.4: If in two triangles, the sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal, and hence the two triangles are similar.

Theorem 6.5: If one angle of a triangle is equal to one angle of the other triangle and the sides, including these angles, are proportional, then the two triangles are similar.

Theorem 6.6: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Theorem 6.7: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

Theorem 6.8: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Theorem 6.9: In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

Students can access extra study materials for Triangles on Vedantu. These resources are available for download, offering additional support for your studies.

Triangles Important Questions

Triangles Revision Notes

Triangles NCERT Exemplar Solutions

Triangles RD Sharma Solutions

Chapter 7 - Coordinate Geometry

Chapter 7 introduces coordinate geometry, which is the mathematical process of identifying a given location using an ordered pair of integers. Coordinate or cartesian geometry is used to calculate the distance between two places given their coordinates. The notion of calculating the area of a triangle formed by three specified points. In addition, the chapter explains how to get the coordinates of the point that splits a line segment connecting two specified points in a certain ratio. This chapter of NCERT Solutions teaches students about the distance formula, the section formula, and the area of triangles.

Topics Covered in Class 10 Coordinate Geometry

Concepts of coordinate geometry

Graphs of linear equations

Distance formula 

Section formula (Internal division)

Important Formulas:

Distance Formula: $PQ = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Section Formula: $m_1: m_2=\left(\frac{m_1 x_2+m_2 x_1}{m_1+m_2}, \frac{m_1 y_2+m_2 y_1}{m_1+m_2}\right)$

Area of Triangle: = $\frac{1}{2}\left[x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right]$

Students can access extra study materials for Coordinate Geometry on Vedantu. These resources are available for download, offering additional support for your studies.

Coordinate Geometry Important Questions

Coordinate Geometry Revision Notes

Coordinate Geometry NCERT Exemplar Solutions

Coordinate Geometry RD Sharma Solutions

Chapter 8 - Introduction to Trigonometry

Chapter 8 of NCERT Solutions introduces trigonometry to the students. Trigonometry is the study of the ratio of right triangles with respect to the acute angles, which are known as trigonometric ratios of the angles. Know the trigonometric ratios for angles $0^{\circ}$ and $90^{\circ}$ and the values of $30^{\circ}, 45^{\circ}$ and $60^{\circ}$. Students will also learn to calculate trigonometric ratios for the given angles and also a few trigonometric identities. The introductory formulas of trigonometry help to have a strong grip over the basics. In addition to the formulas, the relationship between the ratios and angles is also explained in the chapter.

Topics Covered in Class 10 Introduction to Trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle. 

Proof of their existence. 

Values of the trigonometric ratios. 

Relationships between the ratios.

Trigonometry Maths formulae for Class 10 include the three major functions Sine, Cosine, and Tangent for a right-angle triangle. Let ABC be a right-angled triangle with ∠θ at point B.

$\sin \theta = \dfrac{\text{Side opposite to angle }\theta}{\text{Hypotenuse}} = \frac{\text { Perpendicular }}{\text { Hypotenuse }}$

$\cos \theta = \dfrac{\text{Adjacent side to angle }\theta}{\text{Hypotenuse}} = \dfrac{\text{Base}}{\text { Hypotenuse }}$

$\tan \theta = \dfrac{\text { Side opposite to angle } \theta }{\text { Adjacent side to angle } \theta}$

$\sec \theta = \frac{1}{\cos \theta}$

$\cot \theta = \frac{1}{\tan \theta}$

$\text{cosec} \theta = \frac{1}{\sin \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Trigonometry Table

Trigonometric Ratios of Complementary Angles

$\sin (90^\circ - A) = \cos A$

$\cos (90^\circ - A) = \sin A$

$\tan (90^\circ - A) = \cot A$

$\cot (90^\circ - A) = \tan A$

$\sec (90^\circ - A) = \text{cosec} A$

$\text{cosec} (90^\circ - A) = \sec A$

$\sin^2 A + \cos^2 A = 1$

$\sec^2 A - \tan^2 A = 1$ for $0^\circ \leq  A < 90^\circ$

$\text{cosec}^2 A = 1 + \cot^2 A$ for $0^\circ < A \leq  90^\circ$

Students can access extra study materials for Introduction to Trigonometry on Vedantu. These resources are available for download, offering additional support for your studies.

Introduction to Trigonometry Important Questions

Introduction to Trigonometry Revision Notes

Introduction to Trigonometry & Its Equations NCERT Exemplar Solutions

Chapter 9 - Some Applications of Trigonometry

Chapter 9 is the continuation of Chapter 8 where the students will learn about the application of trigonometry. This chapter helps to understand how trigonometry is applied to our everyday life to find out the height and distance of various objects without measuring them, how it is used in navigation, map production, and calculating an island's location relative to longitudes and latitudes. They will learn about the terms line of sight, angle of elevation, and angle of depression.

Topics Covered in Class 10 Maths Chapter 9 - Some Applications of Trigonometry:

In Chapter 9, we delve into "Some Applications of Trigonometry" with a focus on "Heights and Distances." This involves exploring angles of elevation and depression, specifically at 30°, 45°, and 60°.

Let's understand a few key points:

Line of Sight: This is the line drawn from your eye to the point you're looking at.

Angle of Elevation: When the point you're viewing is above your eye level, like when you tilt your head up.

Angle of Depression: When the point you're viewing is below your eye level, like when you lower your head.

To apply these concepts practically to solve problems related to heights and distances, consider three key factors:

The distance from the observer (DE) to the base of the object (minar).

The angle of elevation (∠BAC) from the observer to the top of the object.

The height of the observer (AE).

Assuming you know these three conditions, you can determine the height of the object (minar). In the figure, we observe that CD equals CB plus BD. Here, BD is equivalent to AE, which represents the height of the observer.

To find BC, we utilize trigonometric ratios involving ∠BAC or ∠A in triangle ABC. Since BC is the opposite side concerning the known ∠A, our options are narrowed down to using either tan A or cot A, as these ratios involve AB and BC.

Therefore, we can use tan A = BC/AB or cot A = AB/BC to find BC. Adding AE to BC yields the height of the minar.

Students can access extra study materials for Some Applications of Trigonometry on Vedantu. These resources are available for download, offering additional support for your studies.

Some Applications of Trigonometry Important Questions

Some Applications of Trigonometry Revision Notes

Some Applications of Trigonometry RD Sharma Solutions

Chapter 10 - Circles

You have learned about circles and related terms like chords, segments, and arcs previously. Now, we are going to learn situations where a circle and a line are on the same plane. This chapter focuses on understanding Tangents to a Circle and the Number of Tangents from a Point on a Circle.

Prove the Tangent to a Circle at Point of Contact

1. The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. The lengths of tangents drawn from an external point to a circle are equal.

Tangent to a circle at the point of contact

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

The lengths of tangents drawn from an external point to a circle are equal.

Theorem 10.1 : The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Theorem 10.2 : The lengths of tangents drawn from an external point to a circle are equal.

Case-based Theorem

Number of Tangents from a Point on a Circle

Case 1: There is no tangent to a circle passing through a point lying inside the circle.

Case 2: There is one and only one tangent to a circle passing through a point lying on the circle.

Case 3: There are exactly two tangents to a circle through a point lying outside the circle.

Topics Covered in Class 10 Circles

Various terms related to a circle such as a chord, segment.

Important Theorems

Tangent to a Circle.

Number of Tangents from a Point on a Circle.

Students can access extra study materials for Circles on Vedantu. These resources are available for download, offering additional support for your studies.

Circles Important Questions

Circles Revision Notes

Circles NCERT Exemplar Solutions

Circles NCERT RD Sharma Solutions

Chapter 11 - Areas Related to Circles

As the name suggests, the chapter is about the perimeter and area of a circle. The concepts of finding the area of a sector and segment of a circle are clarified here. This chapter further explains how to find the area of the figures that contains a circle or part of a circle.

Topics Covered in Class 10 Areas Related to Circles

Calculate the area of a circle

Area of sectors and segments of a circle. 

Problems based on areas and perimeter.

Circumference of the above plane figures.

(When computing the area of a circle segment, only the central angles of 60°, 90°, and 120° should be considered.)

Important formulas from within the chapter for the students to practice–

Circumference = $2 \pi r$

Area of the circle = $\pi r^2$

Area of the sector of angle $\theta = \dfrac{\pi}{360} \times \pi r^2$

Length of an arc of a sector of angle $\theta = \dfrac{\pi}{360} \times 2 \pi r$ where r is the radius of the circle

Students can access extra study materials for Area Related to Circles on Vedantu. These resources are available for download, offering additional support for your studies.

Areas Related to Circles Important Questions

Areas Related to Circles Revision Notes

Areas Related to Circles NCERT Exemplar Solutions

Areas Related to Circles RD Sharma Solutions

Chapter 12 - Surface Areas and Volumes

Chapter 12 is about the surface areas and volumes of different objects and shapes. In the five Exercises of this chapter

Exercise 12.1 consists of questions on calculating the surface area of an object made by combining any two of the fundamental solids, namely cuboid, cone, cylinder, sphere, and hemisphere. 

Exercise 12.2, questions are focused on determining the volume of objects generated by merging any two cuboids, cones, cylinders, spheres, or hemispheres. 

Exercise 12.3 addresses the questions in which a solid is transformed from one shape to another.

Exercise 12.4 requires you to calculate the volume, curved surface area, and total surface area of a cone's frustum. The final exercise is optional and consists of high-level questions covering all of the chapter's subjects.

Topics Covered in Class 10 Surface Areas and Volumes

Surface areas and volumes of combinations of any two figures like cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

Problems that involve converting one type of metallic solid into another and other mixed problems.

Important Formulas Used for Calculating Surface Areas and Volumes of Different Objects

TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemispheres

Diameter of sphere = 2r

The surface area of sphere = 4 π r2

The volume of Sphere = 4/3 π r3

The curved surface area of Cylinder = 2 πrh

Area of two circular bases = 2 πr2

The total surface area of Cylinder = Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr2

Volume of Cylinder = π r2 h

Slant height of cone = l = √(r2 + h2)

Curved surface area of cone = πrl

Total surface area of cone = πr (l + r)

Volume of cone = ⅓ π r2 h

Perimeter of cuboid = 4(l + b +h)

Length of the longest diagonal of a cuboid = √(l2 + b2 + h2)

Total surface area of cuboid = 2(l×b + b×h + l×h)

Volume of Cuboid = l × b × h

Students can access extra study materials for Surface Areas and Volume on Vedantu. These resources are available for download, offering additional support for your studies.

Surface Areas and Volumes Important Questions

Surface Areas and Volumes Revision Notes

Surface Areas and Volumes NCERT Exemplar Solutions

Surface Areas and Volumes RD Sharma Solutions

Chapter 13 - Statistics

This is another excellent chapter in which students learn about the numerical representation of data, whether grouped or ungrouped. Learn how to find the mean, median, and mode of a given dataset. In the following assignment, you will learn about the cumulative frequency distribution and construct cumulative frequency curves.

Topics Covered in Class 10 Statistics

Mean, median and mode of grouped data. 

Mean by Direct Method and Assumed Mean Method only.

There are three ways to determine the mean of the grouped data.

The direct method is: $\bar{x} = \frac{\sum_{i=1}^n f_i x_i}{\sum_{i=1}^n f_i}$ 

Where ∑fi xi is the total of observations from value i = 1 to n. ∑fi represents the number of observations from i = 1 to n.

Assumed Mean Method: $\bar{x} = a+\frac{\sum_{i=1}^n f_i d_i}{\sum_{i=1}^n f_i}$  

The step deviation approach is: $\bar{x} = a+\frac{\sum_{i=1}^n f_i u_i}{\sum_{i=1}^n f_i} \times h$  

Mode of grouped data:

Mode = $l+\frac{f_1-f_0}{2 f_1-f_0-f_2} \times h$ 

The median for grouped data is:

Median = $l+\frac{\frac{n}{2}-c f}{f} \times h$

Students can access extra study materials for Statistics on Vedantu. These resources are available for download, offering additional support for your studies.

Statistics Important Questions

Statistics Revision Notes

Statistics RD Sharma Solutions

Chapter 14 - Probability

Chapter 14 begins with the theoretical approach to probability.  discusses and illustrates the distinction between experimental and theoretical probability.  The chapter is full of examples that help learners understand the idea of probability. Probability is also a very essential chapter for students to focus on, as it will be studied further grades. To stay up with the formulae and new subjects introduced in higher classes, students must first master the fundamentals of the chapter in class 10.

Topics Covered in Class 10 Probability

Classical definition of probability. 

Simple problems on finding the probability of an event.

The theoretical probability (also known as classical probability) of an event E, denoted as P(E), is

$P(E)=\frac{\text { Number of outcomes favourable to } E}{\text { Number of all possible outcomes of the experiment }}$

We assume that the experiment's outcomes are equally likely.

The probability of a definite event (or certain event) is one.

The chance of an impossible event is zero.

The probability of an occurrence E is a number P(E), where 0 < P(E) ≤ 1.

An elementary occurrence is one that has only one possible conclusion. The total of the probability of all elementary occurrences in an experiment equals one.

Students can access extra study materials for Probability on Vedantu. These resources are available for download, offering additional support for your studies.

Probability Important Questions

Probability Revision Notes

Probability RD Sharma Solutions

CBSE Class 10 Maths Chapter-Wise Marks Weightage

Internal Assessment for CBSE Class 10 Maths

CBSE Class 10 Maths Exam Pattern for 2024-25

The CBSE Class 10 Maths Exam Pattern for 2024-25 consists of two parts:

Internal Assessment: This is conducted by the school throughout the year and carries 20 marks. It typically includes periodic tests, project work, and other activities.

Board Exam: This is a 3-hour pen-and-paper exam conducted by the CBSE and carries 80 marks. The exam pattern is as follows:

CBSE Class 10th New Plan 2024-25

The following are some major changes that are planned to be introduced in the new CBSE Exam Pattern:

Question papers will be designed to assess students' problem-solving and analytical skills.

The paper design will be revised to include more short answer-type questions, like those ranging from 1 to 5 points.

Some vocational course exams might be held in February, and final board exams will be completed in March within 15 days.

Following the early completion of boards, the results are likely to be announced earlier than the existing structure's schedule.

Benefits of Refering to Vedantu’s NCERT Solutions for Class 10 Maths

The Vedantu’s Class 10 NCERT Solutions of Maths provided here in PDFs offer various benefits, including:

The answers provided here are simple and straightforward.

To facilitate comprehension, solutions are presented in phases.

Students are provided diagrams to assist them visualise the solutions.

All of the questions from each chapter are answered.

Students are urged to prepare all of the chapters covered in the solution modules, as this will help them obtain a deeper understanding of subjects. 

For effective preparations, comprehend all of the processes outlined in the answers.

Important Tips for Scoring Well in the Board Exams

Class 10 is an important class in most students’ school lives and is the first class where the students have to appear for a board exam. The class may seem daunting but if the students have been thorough with their studies or the whole academic year then it will not be difficult for them to score good marks at all. To achieve a good score it is necessary that the students keep the following tips and suggestions in mind for the whole year and especially while preparing for the exams.

1. Regular Revision is Key:

Consistency in revising and practicing daily lessons is crucial.

Regular practice ensures a better understanding and prevents topics from becoming overwhelming during exams.

2. Practice Extensively:

Practice all examples and exercises in the NCERT book .

Utilize solutions PDF for self-assessment and focus on areas with incorrect answers.

Refer to Vedantu's solutions for additional practice and clarity.

3. Concept Clarity Matters:

Seek teacher assistance for any doubts promptly.

Utilize Vedantu's Solutions PDF for easy-to-understand explanations.

Ensure a clear understanding of all concepts well in advance of exams.

4. Understand Syllabus and Paper Pattern:

Familiarize yourself with the syllabus, topic weights, and exam pattern.

This knowledge aids in efficient exam preparation.

5. Effective Time Management:

Create a timetable considering topic weights and personal strengths/weaknesses.

Set daily and weekly goals for focused and motivated study sessions.

Include breaks for effective learning and retention.

6. Identify Strengths and Weaknesses:

Allocate equal time to all topics; practice weaker areas more.

Ensure confidence in every topic by thorough practice.

7. Note-taking for Consolidation:

Write down theorems and formulas for consolidation and quick revision.

Notes act as a reference point and aid in better memorization.

8. Class 10 Maths Resources:

Master with our detailed class 10th Maths Guide.

Practice sample papers and previous years' question papers.

Understand the question patterns to prepare effectively.

Vedantu's website offers sample papers for practice.

9. Prioritize Rest and Preparation:

Ensure a good night's sleep and a healthy meal before the exam.

Gather necessary materials the night before to avoid last-minute stress.

10. Exam Simulation for Time Management:

Practice answering sample papers under timed conditions.

Assess and improve time management skills to attempt all questions.

11. Presenting Answers Effectively:

Answer questions in the order presented in the paper.

Highlight final answers and relevant formulas for clarity.

Avoid leaving any questions unattempted; partial answers can secure marks.

Following the above-mentioned tips and being sincere in your preparation will help you score good marks in the exams. Having a strong base in Maths in Class 10 is definitely beneficial for classes ahead and in the future. This will help you have an edge over others even in competitive exams. Most competitive exams have maths sections and the questions generally asked pertain to what you may have learnt in school. Having a good grip over the formulas and the topics will definitely help you perform well in these exams as well.

CBSE Class 10 Maths Study Materials

FAQs on NCERT Solutions For Class 10 Maths

1. What are the topics covered in Class 10 chapters of Mathematics?

The topics covered in Class 10 chapters of Mathematics are:

1. Real Numbers 

2. Polynomials 

Zeros of a polynomial. 

Relationship between zeroes 

3. Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. 

Algebraic conditions for number of solutions. 

Solution of a pair of linear equations in two variables algebraically – by substitution and by elimination. 

Simple situational problems. 

4. Quadratic Equations

Standard form of a quadratic equation ax 2 + bx + c = 0, (a ≠ 0). 

Solutions of quadratic equations (only real roots) by factorization, and by using the quadratic formulas. 

Relationship between discriminant and nature of roots. 

5. Arithmetic Progression

6. Triangles 

7. Coordinate Geometry

Concepts of coordinate geometry.

Graphs of linear equations. 

Distance formula. 

Section formula.

8. Introduction to Trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle. 

Proof of their existence. 

Values of the trigonometric ratios. 

9. Some Applications of Trigonometry

Angle of elevation. 

Angle of Depression.

Simple problems on heights and distances.

10. Circles

11. Constructions

Dividing a line segment.

Construction of tangents to a circle.

12. Areas Related to Circles

Area of sectors and segments of a circle. 

13. Surface Areas and Volumes

Problems that involve converting one type of metallic solid into another and other mixed problems. 

14. Statistics

Mean, median and mode of grouped data. 

15. Probability

Classical definition of probability. 

2. How can I cover the whole Maths syllabus of Class 10 on time?

To cover the whole Maths syllabus of class 10 on time, you can refer to NCERT Solutions for class 10 provided by Vedantu. Compiled by a group of experts, these solutions will prove a true guide to you. Whether it's about covering the syllabus or scoring high marks, Vedantu’s NCERT Solutions always comes handy. So, download the solutions today and enjoy studying!

3. Can I get NCERT Solutions for Class 10 Maths for free?

Yes, you can download NCERT Solutions for class 10 Maths PDF completely free of cost from Vedantu’s official website. The solutions are prepared by the experts of Vedantu after a lot of research and these are as per the latest guidelines of CBSE. You can download it hassle free from the official website of Vedantu at free of cost.

4. If I am stuck on any Maths concept or numerical problem of Class 10, will NCERT Solutions help me?

Yes, definitely. NCERT Solutions are designed in such a way that it will help you in concept clearance and then practice. In Mathematics, concept clearance is very much required as the questions will be based on concepts only and you have to solve it logically. 

5. Is NCERT Solutions for Class 10 Maths enough for scoring high in exams?

Scoring high in exams depends on how well you are aware of the concepts and how well you can imply that on numerical and logical problems. NCERT Solutions will help you in clearing your concepts well and building a strong foundation. So, if your concepts are clear, and you practice well, NCERT Solutions are enough to score high marks in the exam.

6. Where will I get Class 10 NCERT Solutions for Maths PDF?

Solutions for Class 10 Mathematics is one of the best ways for you to prepare for your board exam. The solutions are present on Vedantu’s website (vedantu.com) free of cost. Vedantu’s NCERT solutions are available in PDF format so that you can download them and use them to study online. Students can download these from Vedantu mobile app as well. All the solutions are explained in an easy format along with the concepts. With these solutions in your hand, you won’t have to worry about finishing your NCERT syllabus.

7. How to master in Class 10 Maths CBSE?

In order to master your Class 10 CBSE, you need to focus on finishing your NCERT syllabus. This involves solving all the questions and the examples. To help you with this, Vedantu offers NCERT Solutions for Class 10 in PDF format . You can use these as a guide for finishing the NCERT exercises.

8. Where can I download CBSE Class 10 NCERT Mathematics PDF Solutions?

CBSE Class 10 NCERT Mathematics PDF solutions are nothing short of a blessing for the students. Vedantu offers PDFs of thoroughly written solutions where all the questions from NCERT exercises are explained in detail. Follow these steps to download them:

Visit the page of ‘ NCERT Solutions for Class 10 Maths ’ on the official website of Vedantu (vedantu.com).

Find the exercise for which you want a solution and click on the ‘Download PDF’ link.

The solutions will be downloaded into your system. You’ll also receive a message/ mail with a direct download button of your preferred solution.

9. What do the concepts explained in the NCERT Class 10 Maths Textbook?

The Vedantu’s solutions of Class 10 NCERT Maths textbook can help all the students of Class 10th with helpful tips and tricks for solving math problems. These tricks are provided at the end of all chapters. There are 15 chapters in total that students have to study for the Class 10 exam. All the chapters are explained in a detailed manner by the subject matter experts. 

10. How can I save these Class 10 NCERT Maths Solutions for reference?

Vedantu’s Class 10 NCERT Maths Solutions is the easiest way for you to prepare for your Class 10 exams. These solutions PDF cover the concepts as well as solutions to exercises. If you want to save them for reference, you will have to download their PDF files. There is a separate PDF file for each exercise that you can save on your mobile phone or computer for future reference. If you want, you can print these files for easy access.

11. How to grasp the important concepts covered in the NCERT Solutions for Class 10 Maths?

Students who want to do well in their Class 10 examinations should get NCERT Solutions from Vedantu. The solutions are carefully chosen by a team of academics with extensive knowledge in the field. Every minute element is discussed in an engaging manner to help pupils learn more effectively. The step-by-step answers are developed with the marks weightage provided according to CBSE norms.

12. Will the NCERT Solutions for Class 10 Maths help me to solve problems easily?

The Class 10 test is one of the most significant turning moments in students' lives. Mathematics is mostly a numerical subject, and grasping ideas helps students perform higher. To improve performance, students should first comprehend the academic year's syllabus and then master the ideas based on it. Solving textbook problems by referring to the answers PDF will help pupils enhance their logical thinking and analytical abilities.

13. Are the NCERT Solutions for Class 10 Maths useful for the students under the CBSE board?

The NCERT Maths Solutions for Class 10 provide several benefits,

Building a firm foundation of essential topics and boosting test confidence.

The strategy for addressing complicated problems is simple to learn.

It is an ideal study tool for students who want to complete their projects on time and earn higher grades in tests.

14. How to get an idea about the important concepts in the NCERT Solutions for Class 10 Maths?

Before the start of the academic year, students should download and read the CBSE curriculum to get a good understanding of the subjects that will be included in the tests. Students must tackle NCERT Textbook problems by selecting the appropriate study materials that meet their needs. Students' problem-solving abilities improve when they practise the problems on a regular basis using the NCERT Solutions for Class 10 Mathematics.

15. Is Vedantu’s NCERT Solutions for Class 10 Maths important?

The NCERT Solutions for Class 10 Maths PDFs at Vedantu are designed so that students may quickly comprehend the topics and solve any difficulties. The answers include detailed explanations to make the subject more engaging for pupils. Students can get the PDF of solutions and utilise it to strengthen their conceptual understanding.

16. Is the NCERT Solutions for Class 10 Maths the best reference guide for CBSE students?

Students should choose the best study material for their needs from among the many options available on the market today. The NCERT Solutions for Class 10 Maths from Vedantu is regarded as the greatest reference resource for CBSE students. The solutions are provided in both chapter- and exercise-specific versions, and can be downloaded and utilised by students. Students can view the PDF's links at any time.

NCERT SOLUTIONS FOR CLASS 10

Cbse class 10 study materials.

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 10

January 18, 2024 by phani

NCERT Solutions for Class 10  are solved by experts of LearnCBSE.in in order to help students to obtain excellent marks in their board examination. All the questions and answers that are present in the CBSE NCERT Books has been included in this page. We have provided all the  Class 10  NCERT Solutions  with a detailed explanation i.e., we have solved all the questions with step by step solutions in understandable language. So students having great knowledge over NCERT Solutions  Class 10 can easily make a grade in their board exams. Read on to find out more about  NCERT Solutions for Class 10 . 

Here we have provided Updated NCERT Solutions for Class 10 for 2020 CBSE Board Exams. NCERT Solutions clear your concepts to the core ensuring to stay with you in the long run. These are created by experts in accordance with the CBSE curriculum. You can find 100% accurate step-by-step solutions for every question in all the latest NCERT books . Practice with these daily to perform better in boards.

• NCERT Solutions for Class 10 Maths
• Chapter 1 Real Numbers
• Chapter 2 Polynomials
• Chapter 3 Pair of Linear Equations in Two Variables
• Chapter 4 Quadratic Equations
• Chapter 5 Arithmetic Progressions
• Chapter 6 Triangles
• Chapter 7 Coordinate Geometry
• Chapter 8 Introduction to Trigonometry
• Chapter 9 Applications of Trigonometry
• Chapter 10 Circle
• Chapter 11 Constructions
• Chapter 12 Areas related to Circles
• Chapter 13 Surface Areas and Volumes
• Chapter 14 Statistics
• Chapter 15 Probability
• NCERT Solutions for Class 10 Science

Here is the chapter-wise NCERT Solutions for class 10 science is listed below:

• Chapter 1 Chemical Reactions and Equations
• Chapter 2 Acids, Bases and Salts
• Chapter 3 Metals and Non-metals
• Chapter 4 Carbon and Its Compounds
• Chapter 5 Periodic Classification of Elements
• Chapter 6 Life Processes
• Chapter 7 Control and Coordination
• Chapter 8 How do Organisms Reproduce?
• Chapter 9 Heredity and Evolution
• Chapter 10 Light Reflection and Refraction
• Chapter 11 Human Eye and Colourful World
• Chapter 12 Electricity
• Chapter 13 Magnetic Effects of Electric Current
• Chapter 14 Sources of Energy
• Chapter 15 Our Environment
• Chapter 16 Management of Natural Resources

Important Questions for Class 10 Science

• Class 10 Chemical Reactions and Equations Important Questions
• Class 10 Acids Bases and Salts Important Questions
• Class 10 Metals and Non-metals Important Questions
• Class 10 Carbon and its Compounds Important Questions
• Class 10 Periodic Classification of Elements Important Questions
• Class 10 Life Processes Important Questions
• Class 10 Control and Coordination Important Questions
• Class 10 How do Organisms Reproduce Important Questions
• Class 10 Heredity and Evolution Important Questions
• Class 10 Light Reflection and Refraction Important Questions
• Class 10 Human Eye and Colourful World Important Questions
• Class 10 Electricity Important Questions
• Class 10 Magnetic Effects of Electric Current Important Questions
• Class 10 Sources of Energy Important Questions
• Class 10 Our Environment Important Questions
• Class 10 Management of Natural Resources Important Questions

NCERT Exemplar Class 10 Science Solutions

• Chemical Reactions and Equations NCERT Exemplar Solutions
• Acids Bases and Salts NCERT Exemplar Solutions
• Metals and Non-metals NCERT Exemplar Solutions
• Carbon and its Compounds NCERT Exemplar Solutions
• Periodic Classification of Elements NCERT Exemplar Solutions
• Life Processes NCERT Exemplar Solutions
• Control and Coordination NCERT Exemplar Solutions
• How do Organisms Reproduce NCERT Exemplar Solutions
• Heredity and Evolution NCERT Exemplar Solutions
• Light Reflection and Refraction NCERT Exemplar Solutions
• Human Eye and Colourful World NCERT Exemplar Solutions
• Electricity NCERT Exemplar Solutions
• Magnetic Effects of Electric Current NCERT Exemplar Solutions
• Sources of Energy NCERT Exemplar Solutions
• Our Environment
• Management of Natural Resources NCERT Exemplar Solutions

Extra Questions for Class 10 Science

• Chemical Reactions and Equations Class 10 Extra Questions
• Acids, Bases and Salts Class 10 Extra Questions
• Metals and Non-metals Class 10 Extra Questions
• Carbon and Its Compounds Class 10 Extra Questions
• Periodic Classification of Elements Class 10 Extra Questions
• Life Processes Class 10 Extra Questions
• Control and Coordination Class 10 Extra Questions
• How do Organisms Reproduce? Class 10 Extra Questions
• Heredity and Evolution Class 10 Extra Questions
• Light Reflection and Refraction Class 10 Extra Questions
• Human Eye and Colourful World Class 10 Extra Questions
• Electricity Class 10 Extra Questions
• Magnetic Effects of Electric Current Class 10 Extra Questions
• Sources of Energy Class 10 Extra Questions
• Our Environment Class 10 Extra Questions
• Management of Natural Resources Class 10 Extra Questions

NCERT Solutions for Class 10 Social Science History: India and the Contemporary World-II

• Chapter 1 The Rise of Nationalism in Europe
• Chapter 2 The Nationalist Movement in Indo-China
• Chapter 3 Nationalism in India
• Chapter 4 The Making of Global World
• Chapter 5 The Age of Industrialisation
• Chapter 6 Work, Life and Leisure
• Chapter 7 Print Culture and the Modern World
• Chapter 8 Novels, Society and History

NCERT Solutions for Class 10 Social Science Geography: Contemporary India-II

• Chapter 1 Resource and Development
• Chapter 2 Forest and Wildlife Resources  ( Extra Questions for Forest and Wildlife Resources )
• Chapter 3 Water Resources  ( Extra Questions for Water Resources )
• Chapter 4 Agriculture  ( Extra Questions for Agriculture )
• Chapter 5 Minerals and Energy Resources  ( Extra Questions for Minerals and Energy Resources )
• Chapter 6 Manufacturing Industries  ( Extra Questions for Manufacturing Industries )
• Chapter 7 Lifelines of National Economy

NCERT Solutions for Class 10 Social Science Civics (Political Science): Democratic Politics-II

• Chapter 1  Power Sharing
• Chapter 2  Federalism  ( Extra Questions for Federalism )
• Chapter 3  Democracy and Diversity  ( Extra Questions for Democracy and Diversity )
• Chapter 4  Gender Religion and Caste  ( Extra questions for Gender Religion and Caste )
• Chapter 5  Popular Struggles and Movements  (  Extra Questions for Popular Struggles and Movement )

NCERT Solutions for Class 10 Social Science Economics: Understanding Economic Development – II

• Chapter 1 Understanding Economic Development
• Chapter 2 Sectors of Indian Economy
• Chapter 3 Money and Credit
• Chapter 4 Globalisation and the Indian Economy
• Chapter 5 Consumer Rights

NCERT Solutions for Class 10 Social Science Disaster Management

• Tsunami – The Killer sea Waves
• Survival Skills  ( Extra Questions Survival Skills )
• Alternative Communication Systems  ( Extra Questions Alternative Communication Systems )
• Safe Construction Practices  ( Extra Questions Safe Construction Practices )
• Sharing Responsibilities  ( Extra Questions Sharing Responsibilities )
• Planning Ahead

NCERT Solutions for Class 10 English Literature Reader

• Chapter 1 Two Gentlemen of Verona
• Chapter 2 Mrs. Packletide’s Tiger
• Chapter 3 The Letter
• Chapter 4 A Shady Plot
• Chapter 5 Patol Babu, Film Star
• Chapter 6 Virtually True
• Chapter 7 The Frog and the Nightingale
• Chapter 8 Mirror
• Chapter 9 Not Marble, nor the Gilded Monuments
• Chapter 10 Ozymandias
• Chapter 11 The Rime of the Ancient Mariner
• Chapter 12 Snake
• Chapter 13 The Dear Departed
• Chapter 14 Julius Caesar

NCERT Solutions for Class 10 English Language and Literature

• NCERT Solutions for Class 10 English First Flight

NCERT Solutions for Class 10 English First Flight (Prose)

• Chapter 1 A Letter to God
• Chapter 2 Nelson Mandela: Long Walk to Freedom
• Chapter 3 Two Stories about Flying
• Chapter 4 From the Diary of Anne Frank
• Chapter 5 The Hundred Dresses – I
• Chapter 6 The Hundred Dresses – II
• Chapter 7 Glimpses of India
• Chapter 8 Mijbil the Otter
• Chapter 9 Madam Rides the Bus
• Chapter 10 The Sermon at Benares
• Chapter 11 The Proposal

NCERT Solutions for Class 10 English First Flight (Poem)

• Chapter 1 Dust of Snow
• Chapter 2 Fire and Ice
• Chapter 3 A Tiger in the Zoo
• Chapter 4 How to Tell Wild Animals
• Chapter 5 The Ball Poem
• Chapter 6 Amanda
• Chapter 7 Animals
• Chapter 8 The Trees
• Chapter 9 Fog
• Chapter 10 The Tale of Custard the Dragon
• Chapter 11 For Anne Gregory
• NCERT Solutions for Class 10 English Footprints Without Feet

NCERT Solutions for Class 10 English Supplementary Reader Footprints without Feet

• Chapter 1 A Triumph of Surgery
• Chapter 2 The Thief’s Story
• Chapter 3 The Midnight Visitor
• Chapter 4 A Question of Trust
• Chapter 5 Footprints without Feet
• Chapter 6 The Making of a Scientist
• Chapter 7 The Necklace
• Chapter 8 The Hack Driver
• Chapter 9 Bholi
• Chapter 10 The Book that Saved the Earth

NCERT Solutions for Class 10 English Extended Reading Text / Novels / Long Reading Text

• The Story of My Life Summary By Helen Keller (Unabridged Edition)
• The Story of My Life By Helen Keller (Unabridged Edition) OR
• The Diary of a Young Girl Summary By Anne Frank
• The Diary of a Young Girl By Anne Frank

CBSE Class 10 English Main Course Book Solutions and Answers

CBSE Class 10 English Main Course Book MCB Solutions and Answers

Unit 1 Health and Medicine

• Health and Medicine Introduction
• A.  Do Indians Get Enough Sleep ?
• B.  Laughter – The Best Medicine
• C.  “Whopping Walter” Hudson
• D.  The World of Sports
• E.  Nature’s Medicines

Unit 2 Education

• Education Introduction
• A.  My struggle for an Education
• B.  Educating the Girl Child
• C.  Inclusive Education
• D.  Vocational Education

Unit 3 Science

• Science Introduction
• A.  Promise for the Future : Renewable Energy
• B.  Pluggin into Future
• C.  Space Travel
• D.  Letters from the planet Aurigae II

Unit 4 Environment

• Environment Introduction
• A.  Treading the Green Path: Towards Preservation
• B.  Heroes of the Environment
• C.  Let’s Clean up
• D.  A Tale of Three Villages
• E.  Geological Heritage

Unit 5 Travel and Tourism 

• Travel and Tourism Introduction
• A.  Land of All Seasons
• B.  Eco Tourism
• C.  The Emerald Islands
• D.  Promoting Tourism

Unit 6 National Integration

• National Integration Introduction
• A.  Unity in Diversity
• B.  Challenges to National Integration
• C.  Spirit of Unity
• D.  Mile Sur Mera Tumhara

CBSE Class 10 English Workbook Solutions and Answers

NCERT Solutions for Class 10 English Workbook

• Unit 1 Determiners
• Unit 2 Tenses
• Integrated Grammar Practice 1
• Unit 3 Subject – Verb Agreement
• Unit 4 Non Finites
• Integrated Grammar Practice 2
• Unit 5 Relatives
• Unit 6 Connectors
• Integrated Grammar Practice 3
• Unit 7 Conditionals
• Unit 8 Comparison
• Integrated Grammar Practice 4
• Unit 9 Avoiding Repetition
• Unit 10 Nominalisation
• Integrated Grammar Practice 5
• Unit 11 Modals-Expressing Attitudes
• Integrated Grammar Practice 6
• Unit 12 Active and Passive
• Integrated Grammar Practice 7
• Unit 13 Reported Speech
• Integrated Grammar Practice 8
• Unit 14 Prepositions
• Integrated Grammar Practice 9

CBSE Class 10 English Reading

• Unseen Passages

CBSE Class 10 English Writing

• Letter Writing
• Article Writing
• Story Writing

CBSE Class 10 English Grammar

A. Resource Material

• Active and Passive Voice
• Subject-Verb Concord
• Direct and Indirect Speech
• Determiners
• Prepositions

B. Integrated Grammar

• Gap Filling
• Sentence Reordering
• Sentence Transformation
• NCERT Solutions for Class 10 Hindi Kshitiz

NCERT Solutions for Class 10 Hindi Kshitij Bhag 2 क्षितिज भाग 2

काव्य – खंड

• Chapter 1 पद
• Chapter 2 राम-लक्ष्मण-परशुराम संवाद
• Chapter 3 सवैया और कवित्त
• Chapter 4 आत्मकथ्य
• Chapter 5 उत्साह और अट नहीं रही
• Chapter 6 यह दंतुरहित मुस्कान और फसल
• Chapter 7 छाया मत छूना
• Chapter 8 कन्यादान
• Chapter 9 संगतकार
• Chapter 10 नेताजी का चश्मा
• Chapter 11 बालगोबिन भगत
• Chapter 12 लखनवी अंदाज़
• Chapter 13 मानवीय करुणा की दिव्या चमक
• Chapter 14 एक कहानी यह भी
• Chapter 15 स्त्री शिक्षा के विरोधी कुतर्कों का खंडन
• Chapter 16 नौबतखाने में इबादत
• Chapter 17 संस्कृति
• NCERT Solutions for Class 10 Hindi Kritika

NCERT Solutions for Class 10 Hindi Kritika Bhag 2 कृतिका भाग 2

• Chapter 1 माता का आँचल
• Chapter 2 जॉर्ज पंचम की नाक
• Chapter 3 साना-साना हाथ जोड़ि
• Chapter 4 एही ठैयाँ झुलनी हेरानी हो रामा!
• Chapter 5 मैं क्यों लिखता हूँ?

NCERT Solutions for Class 10 Hindi – B

• NCERT Solutions for Class 10 Hindi Sparsh

NCERT Solutions for Class 10 Hindi Sparsh Bhag 2 स्पर्श भाग 2

• Chapter 1 साखी
• Chapter 2 पद
• Chapter 3 दोहे
• Chapter 4 मनुष्यता
• Chapter 5 पर्वत प्रदेश में पावस
• Chapter 6 मधुर-मधुर मेरे दीपक जल
• Chapter 7 तोप
• Chapter 8 कर चले हम फ़िदा
• Chapter 9 आत्मत्राण
• Chapter 10 बड़े भाई साहब
• Chapter 11 डायरी का एक पन्ना
• Chapter 12 तताँरा-वामीरो कथा
• Chapter 13 तीसरी कसम के शिल्पकार शैलेंद्र
• Chapter 14 गिरगिट
• Chapter 15 अब कहाँ दूसरे के दुख से दुखी होने वाले
• Chapter 16 पतझर में टूटी पत्तियाँ
• Chapter 17 कारतूस
• NCERT Solutions for Class 10 Hindi Sanchayan

NCERT Solutions for Class 10 Hindi Sanchayan Bhag संचयन भाग 2

• Chapter 1 हरिहर काका
• Chapter 2 सपनों के-से दिन
• Chapter 3 टोपी शुक्ला
• NCERT Solutions for Class 10 Sanskrit

PART A – Class 10 Sanskrit NCERT Textbook

• Chapter 1 अपठित -अवबोधनम

PART B – Class 10 Sanskrit NCERT Textbook

• Chapter 1 सङ्केताधारितम् अनौपचारिकपत्रम्
• Chapter 2 सङ्केताधारित: वार्त्तालापः
• Chapter 3 चित्राधारितम् वर्णनम्

PART C – Class 10 Sanskrit NCERT Textbook

• Chapter 1 सन्धि :
• Chapter 2 अव्ययानि

PART D – Class 10 Sanskrit NCERT Textbook

• Chapter 3 समासा :
• Chapter 4 प्रत्ययाः
• Chapter 5 वाच्यम्
• Chapter 6 कः समयः
• Chapter 7 सङ्‌खया
• Chapter 8 वचन -लिङ्ग-पुरुष -लकार -दॄष्ट्या संशोधनम

Section 1 – Class 10 Sanskrit NCERT Textbook

• Chapter 1 वाड्मयं तपः
• Chapter 2 आज्ञा गुरूणां हि अविचारणीया
• Chapter 3 किं किम् उपादेयम्
• Chapter 4 नास्ति त्यागसमम् सुखम्
• Chapter 5 अभ्यासवशगं मनः

Section 2 – Class 10 Sanskrit NCERT Textbook

• Chapter 6 साधुवृत्ति समाचरेत्
• Chapter 7 रमणीया की सृष्टि : ऐषा
• Chapter 8 तिरुक्कुरल्-सूक्ति -सौरभम्
• Chapter 9 राट्रं संरषयमेव ही
• Chapter 10 सुस्वागत भो ! अरुणाचलेऽस्मिन्
• Chapter 11 कालोऽहम्

NCERT Solutions for Class 10 Foundation of Information Technology (FIT)

• Internet Basics
• Internet Services
• Database Concepts
• Microsoft Access
• HTML (HyperText Markup Language)
• Inserting Images and Links in HTML
• Working with Tables in HTML
• Introduction to XML
• Societal Impacts of IT

Class 10 NCERT Solutions All Subjects

• NCERT Solutions for Class 10 Social Science
• NCERT Solutions for Class 10 English
• NCERT Solutions for Class 10 Hindi
• NCERT Solutions for Class 10 Foundation of Information Technology

Preparation Articles

• How to Score Good Marks in Class 10 English?
• How to Attempt English Paper Class 10?
• How to write a Story in English Exam Class 10?
• Which Book is Best for English Class 10?
• Which section to attempt first in English Board Exam Class 10?
• How to Score Full Marks in Class 10 Maths?
• How to Prepare for Maths Board Exam Class 10?
• Which is the Best Reference Book for Class 10 Maths?
• How to Prepare for Science Board Exam Class 10?
• How to Study Social Science in Class 10?
• Which is the Best Reference Book for CBSE Class 10 Social Science?
• How to Score Good Marks in Class 10 Social Science?

Advantages of Solving NCERT Solutions for Class 10 from LearnCBSE.in

•   All the Class 10 NCERT Textbook Solutions  provided in this page are clear and concise in nature.
• NCERT Solutions for  Class 10 Books  are solved in easily understandable language to help students to grasp everything on the go.
• Accessible to everyone at any time anywhere without any difficulty.
• All the questions are solved strictly based on the NCERT (CBSE) Syllabus and Books. So mastering these solutions will definitely help students to score good marks in the examination.
• NCERT Solutions for  Class X   given in this page are of free of cost.

CBSE Class 10 study materials are given here in PDF files for all the subjects by LearnCBSE. Students can easily download these materials and can use it offline also. These materials are NCERT solutions for all the chapters, revision notes, syllabus, sample papers, previous year question papers and important questions of class 10th. Our subject experts and experienced teachers has designed these materials, as per the latest CBSE syllabus 2019-20. With the help of these materials, students can find it easy to prepare for their exams and score good marks.

Students are provided here with an opportunity to use these materials for free while doing the preparation for the 10th board exam. As we already know, grade 10th is important for all the academic students. The marks obtained in this board exam have an impact on students forthcoming education life. Therefore, it is necessary for them to secure excellent marks in the final exams. Based on these marks they could decide to select their subject of interest in 11th standard. Also, many students decides to get a job after 10th and many attempts to get colleges for diploma or inter studies. Therefore, LearnCBSE is trying to make the students prepared for all phase of the exams and get passed with flying numbers in 10th standard. 

Student can solve complex problems with the help of solutions, where the best and easy methods are given to explain the concepts. Also, revision notes will help them to have a quick look on all the topics while preparing for examinations. 

We hope the NCERT Solutions for Class 10 provided in this page helps in your board exam preparation.

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AIMS Mathematics

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A robust regional eigenvalue assignment problem using rank-one control for undamped gyroscopic systems

• Binxin He 1 , 
• Hao Liu 1,2 ,  , 
• 1. School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
• 2. Shenzhen Research Institute, Nanjing University of Aeronautics and Astronautics, Shenzhen 518063, China
• Received: 30 March 2024 Revised: 31 May 2024 Accepted: 04 June 2024 Published: 07 June 2024

MSC : 65F18, 93C15

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Considering the advantages of economic benefit and cost reduction by using rank-one control, we investigated the problem of robust regional eigenvalue assignment using rank-one control for undamped gyroscopic systems. Based on the orthogonality relation, we presented a method for solving partial eigenvalue assignment problems to reassign partial undesired eigenvalues accurately. Since it is difficult to achieve robust control by assigning desired eigenvalues to precise positions with rank-one control, we assigned eigenvalues within specified regions to provide the necessary freedom. According to the sensitivity analysis theories, we derived the sensitivity of closed-loop eigenvalues to parameter perturbations to measure robustness and proposed a numerical algorithm for solving robust regional eigenvalue assignment problems so that the closed-loop eigenvalues were insensitive to parameter perturbations. Numerical experiments demonstrated the effectiveness of our method.

• undamped gyroscopic systems ,
• regional eigenvalue assignment ,
• rank-one control ,

Citation: Binxin He, Hao Liu. A robust regional eigenvalue assignment problem using rank-one control for undamped gyroscopic systems[J]. AIMS Mathematics, 2024, 9(7): 19104-19124. doi: 10.3934/math.2024931

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• This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/4.0/ -->

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• Corresponding author: Email: [email protected]

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• © 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License ( http://creativecommons.org/licenses/by/4.0 )

通讯作者: 陈斌, [email protected]

沈阳化工大学材料科学与工程学院 沈阳 110142

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• Figure 1. Spatial oscillations of a particle
• Figure 2. A cylindrical rotor with flexible bearings
• Figure 3. Partial eigenvalue assignment results of Example 4.2
• Figure 4. The perturbed desired closed-loop eigenvalues of different methods
• Figure 5. Time response for Example 4.3 on $ {\omega} = 0.7 $
• Figure 6. Time response for Example 4.3 on $ {\omega} = 0.66 $
• Figure 7. Time response for Example 4.3 with an additional delay on $ {\omega} = 0.7 $
• Figure 8. Time response for Example 4.3 with an additional delay on $ {\omega} = 0.66 $

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CBSE supplementary exam 2024 date sheets out for Class 10th, 12th

Cbse 2024 supplementary exams: the cbse class 10 and 12 supplementary exams will be held on the basis of the syllabus prescribed for the board examination for the session 2023-24..

The Central Board of Secondary Education (CBSE) has announced the supplementary exam dates for Class 10 and Class 12. The CBSE supplementary 2024 exam will be held from July 15. 

While the Class 10 CBSE supplementary exam 2024 will get over on July 22, the Class 12 supplementary exam will be held on a single day – July 15. The CBSE Class 10 and 12 supplementary exams will be held on the basis of the syllabus prescribed for the board examination for the session 2023-24.

CBSE 2024 Supplementary Exam Dates

The CBSE Class 10 supplementary exams will start with the social sciences paper on July 15 followed by Hindi course A and course B on July 16 and science on July 18. Mathematics – standard and basic and English – communicative and language and literature will be held on July 19 and July 20 respectively. The CBSE Class 10 compartment exam 2024 will end with the language papers including Sanskrit, Tamil, Telugu, Marathi, Manipuri and Bodo and computer application and information technology papers on July 22.

All the papers in Class 10 except computer application and information technology will be held from 10:30 am to 1:30 pm. The computer application and information technology paper will be held for a duration of two hours – 10:30 am to 12:30 pm. Most of the Class 12 papers will be held from 10:30 am to 1:30 pm.

The CBSE Class 10 and 12 results 2024 were declared on May 13. The pass percentage in CBSE result 2024 has been recorded as 93.60 per cent for CBSE Class 10 and 87.98 per cent for Class 12.

While announcing the Class 10 and Class 12 supplementary exam date sheet, the CBSE also said: “This tentative date sheet has been published to help the students to select the subjects for which they want to appear in the supplementary examinations 2024 for improvement of performance. The final date sheet will be issued after the last date of submission of LOC.”

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NCERT Books for Class 10 Maths

Ncert books class 10 maths – free pdf download for 2023-24.

NCERT Textbooks for Maths Class 10 are the prime pick for students looking for the best study materials under the CBSE Board. These NCERT Books for Class 10 Maths help the students to understand the concepts in a simple method. It is highly recommended that CBSE students refer to and learn the Maths Book of NCERT as it covers the entire syllabus.

NCERT Class 10 Maths books help students to prepare well for board exams as well as competitive exams. These textbooks are specially designed by subject experts to provide students with authentic information for all subjects. We, at BYJU’S, provide NCERT Maths Book Class 10 PDF for free download. It is strongly recommended that the students of CBSE Class 10 prepare from this book as it comprises a set of questions that will build a strong foundation for all the concepts and topics covered. These NCERT Class 10 Books for Maths are written in the most comprehensible manner to make it easy for the students to understand.

To ace Mathematics, students can refer to NCERT Books for Class 10 Maths. This book provides a wide range of illustrative problems and solutions as well. Hence, it is recommended that all students choose to study textbooks. It is advisable to practise NCERT solutions, sample papers and previous years’ question papers as it helps the students in solving the questions faster. When the students do not get a proper solution for the Maths problems, they search for NCERT Books for Class 10 Maths . Besides, it is good to brush up on the fundamentals from the NCERT Books of previous classes.

After finishing all the exercise problems of the NCERT Book of Maths , students must solve the CBSE Class 10 Sample Papers to get an idea of the types of questions asked in the exam.

NCERT Book for Class 10 Maths Chapter-wise in English

NCERT Book for Class 10 Maths Chapter in Hindi

CBSE Maths Book of NCERT consist of total 15 chapters.

Access NCERT Solutions here.

Why One Should Read NCERT Book for Class 10 Maths?

The chapter-wise NCERT Maths Books PDF are provided above, keeping in mind the objectives of the NCERT books in assisting students in the board exam preparation . If the students have any queries, they can get them clarified easily by referring to the NCERT Books for Class 10. Referring to these books is helpful for the students to score well in the upcoming board examination. They help to simplify the complex topics and formulas of Class 10 Maths and clear any doubts students may have.

• Students can get complete knowledge about the topics covered in Class 10 Maths
• These books help students during revision time
• It helps students to self-evaluate their knowledge gap using these books and prepare accordingly
• Students can increase their knowledge about the key topics and concepts
• Homework and assignments are given based on these books

Students can also download NCERT Maths Class 10 Solutions free PDFs at BYJU’S.

Frequently Asked Questions on NCERT Books for Class 10 Maths

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Create interactive assignments, even from existing PDFs, that provide real-time feedback and individual guidance with prompts and hints with the help of AI.

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Assign differentiated reading activities using the Classroom integration with Read Along, a fun, speech-based tool from Google that helps students independently build their reading skills, while giving educators insight into their progress.

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Expressions and operators

This chapter documents all the JavaScript language operators, expressions and keywords.

Expressions and operators by category

For an alphabetical listing see the sidebar on the left.

Primary expressions

Basic keywords and general expressions in JavaScript. These expressions have the highest precedence (higher than operators ).

The this keyword refers to a special property of an execution context.

Basic null , boolean, number, and string literals.

Array initializer/literal syntax.

Object initializer/literal syntax.

The function keyword defines a function expression.

The class keyword defines a class expression.

The function* keyword defines a generator function expression.

The async function defines an async function expression.

The async function* keywords define an async generator function expression.

Regular expression literal syntax.

Template literal syntax.

Grouping operator.

Left-hand-side expressions

Left values are the destination of an assignment.

Member operators provide access to a property or method of an object ( object.property and object["property"] ).

The optional chaining operator returns undefined instead of causing an error if a reference is nullish ( null or undefined ).

The new operator creates an instance of a constructor.

In constructors, new.target refers to the constructor that was invoked by new .

An object exposing context-specific metadata to a JavaScript module.

The super keyword calls the parent constructor or allows accessing properties of the parent object.

The import() syntax allows loading a module asynchronously and dynamically into a potentially non-module environment.

Increment and decrement

Postfix/prefix increment and postfix/prefix decrement operators.

Postfix increment operator.

Postfix decrement operator.

Prefix increment operator.

Prefix decrement operator.

Unary operators

A unary operation is an operation with only one operand.

The delete operator deletes a property from an object.

The void operator evaluates an expression and discards its return value.

The typeof operator determines the type of a given object.

The unary plus operator converts its operand to Number type.

The unary negation operator converts its operand to Number type and then negates it.

Bitwise NOT operator.

Logical NOT operator.

Pause and resume an async function and wait for the promise's fulfillment/rejection.

Arithmetic operators

Arithmetic operators take numerical values (either literals or variables) as their operands and return a single numerical value.

Exponentiation operator.

Multiplication operator.

Division operator.

Remainder operator.

Addition operator.

Subtraction operator.

Relational operators

A comparison operator compares its operands and returns a boolean value based on whether the comparison is true.

Less than operator.

Greater than operator.

Less than or equal operator.

Greater than or equal operator.

The instanceof operator determines whether an object is an instance of another object.

The in operator determines whether an object has a given property.

Note: => is not an operator, but the notation for Arrow functions .

Equality operators

The result of evaluating an equality operator is always of type boolean based on whether the comparison is true.

Equality operator.

Inequality operator.

Strict equality operator.

Strict inequality operator.

Bitwise shift operators

Operations to shift all bits of the operand.

Bitwise left shift operator.

Bitwise right shift operator.

Bitwise unsigned right shift operator.

Binary bitwise operators

Bitwise operators treat their operands as a set of 32 bits (zeros and ones) and return standard JavaScript numerical values.

Bitwise AND.

Bitwise OR.

Bitwise XOR.

Binary logical operators

Logical operators implement boolean (logical) values and have short-circuiting behavior.

Logical AND.

Logical OR.

Nullish Coalescing Operator.

Conditional (ternary) operator

The conditional operator returns one of two values based on the logical value of the condition.

Assignment operators

An assignment operator assigns a value to its left operand based on the value of its right operand.

Assignment operator.

Multiplication assignment.

Division assignment.

Remainder assignment.

Addition assignment.

Subtraction assignment

Left shift assignment.

Right shift assignment.

Unsigned right shift assignment.

Bitwise AND assignment.

Bitwise XOR assignment.

Bitwise OR assignment.

Exponentiation assignment.

Logical AND assignment.

Logical OR assignment.

Nullish coalescing assignment.

Destructuring assignment allows you to assign the properties of an array or object to variables using syntax that looks similar to array or object literals.

Yield operators

Pause and resume a generator function.

Delegate to another generator function or iterable object.

Spread syntax

Spread syntax allows an iterable, such as an array or string, to be expanded in places where zero or more arguments (for function calls) or elements (for array literals) are expected. In an object literal, the spread syntax enumerates the properties of an object and adds the key-value pairs to the object being created.

Comma operator

The comma operator allows multiple expressions to be evaluated in a single statement and returns the result of the last expression.

Specifications

Browser compatibility

BCD tables only load in the browser with JavaScript enabled. Enable JavaScript to view data.

• Operator precedence

CBSE NCERT Solutions

NCERT and CBSE Solutions for free

Class 10 Mathematics Circles Assignments

We have provided below free printable Class 10 Mathematics Circles Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 10 Mathematics Circles . These Assignments for Grade 10 Mathematics Circles cover all important topics which can come in your standard 10 tests and examinations. Free printable Assignments for CBSE Class 10 Mathematics Circles , school and class assignments, and practice test papers have been designed by our highly experienced class 10 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Circles Class 10 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Circles Class 10. Students can click on the links below and download all Pdf Assignments for Mathematics Circles class 10 for free. All latest Kendriya Vidyalaya Class 10 Mathematics Circles Assignments with Answers and test papers are given below.

Mathematics Circles Class 10 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 10 Mathematics Circles . Students and teachers can download and save all free Mathematics Circles assignments in Pdf for grade 10th. Our expert faculty have covered Class 10 important questions and answers for Mathematics Circles as per the latest syllabus for the current academic year. All test papers and question banks for Class 10 Mathematics Circles and CBSE Assignments for Mathematics Circles Class 10 will be really helpful for standard 10th students to prepare for the class tests and school examinations. Class 10th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 10 Mathematics Circles Download in Pdf

Advantages of Class 10 Mathematics Circles Assignments

• As we have the best and largest collection of Mathematics Circles assignments for Grade 10, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics Circles textbooks for Class 10 .
• All Mathematics Circles assignments for Class 10 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 10 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics Circles chapter wise worksheets and assignments for free in Pdf
• Class 10 Mathematics Circles question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 10 Mathematics Circles students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Circles Class 10 which you can download in Pdf

We provide here Standard 10 Mathematics Circles chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics Circles in Grade 10, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Circles Grade 10 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 10 for all subjects. You can download them all and use them offline without the internet.

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