maths holiday homework for class 10

[Updated] CBSE Class 10 Holiday Homework 2024-25 Session in PDF

This piece delves into the subject of Class 10 Holiday Homework, a topic that often evokes mixed emotions among students, many of whom view it as a daunting task. It’s not uncommon for students to come up with various excuses upon returning from holiday breaks, from the classic “the dog ate my homework” to blaming winter storms for incomplete assignments. However, parents must understand the importance of holiday homework as a way to sustain learning and practice.

In this article, you’ll discover the CBSE Class 10 Holiday Homework conveniently available in PDF format for practice purposes. Whether you’re a student, parent, or teacher, you can access and download these valuable assignments to support school activities.

Before delving into the Class 10 Holiday Homework, review the CBSE Class 10 Summary below. It encompasses the entire CBSE Class 10 Summary, and students are encouraged to examine it thoroughly for school purposes.

Class 10 Holiday Homework

Below, we have mentioned the updated Holiday homework for CBSE class 10 season-wise, like the autumn, winter, and summer seasons. Students can download the complete Subject holiday homework in PDF Format for practice.

CBSE Class 10 Worksheet

In this section, we have only mentioned the CBSE Class 10 worksheet in PDF format for practice purposes. Students can check and download the worksheet to prepare for our examination better.

Class 10 NCERT Solutions

Below, we have mentioned the complete NCERT Solution For Class 10. Students, parents, and guardians are advised to check the Class 10 NCERT Solution subject-wise.

Class 10 Sample Paper

In this section, we have mentioned the Model Test paper specially made for CBSE Class 10. Try to solve it within the prescribed time limit.

CBSE Class 10 Syllabus 2024-25

Check out the latest Syllabus for Class 10. The 2024-25 academic year session syllabus will remain the same until the following notification.

You Should Also Checkout

• [Updated] CBSE Class 10 Maths NCERT Exemplar Book & Solutions 2024-25 Session in PDF
• [Updated] CBSE Class 10 Sanskrit Practice Paper 2024-25 Session in PDF
• [Updated] CBSE Class 10 Science Lab Manual 2024-25 Session in PDF
• [Updated] Lakhmir Singh Solution for Class 10 2024-25 Session in PDF

About Sourav Roy

Sourav is a student pursuing his graduation, passionate about education. He creates engaging content tailored for school students, aiming to make learning enjoyable and accessible. Through interactive lesson plans, videos, and articles, he inspires curiosity and fosters a love for learning. Sourav's goal is to empower students with the tools they need to succeed academically and instill a lifelong passion for knowledge.

Leave a Comment Cancel reply

Notify me via e-mail if anyone answers my comment.

• Summer holiday homework
• IGCSE Holiday Homework ICT
• IV Holiday Homework ICT
• V Holiday Homework ICT
• VI Holiday Homework ICT
• VII Holiday Homework ICT
• VIII Holiday Homework ICT
• XII Holiday Homework ICT
• IGCSE Holiday Homework English
• Class 4 & 5 Holiday Homework English
• CLASS 6 Holiday Homework English
• Class 7 Holiday Homework English
• Class 8 Holiday Homework English
• Class 9 Holiday Homework English
• CLASS10 Holiday Homework English
• Class XII Holiday Homework English

II & III LANG HOLIDAY HOMEWORK

• 5th class 2nd lang Hindi
• 5th Class 3rd Lang Hindi
• 6th class 2nd Lang Hindi
• 6th Class 3rd Lang Hindi
• 7th class 2nd Lang Hindi
• 7th class 3rd Lang Hindi
• 8th Class 2nd lang Hindi
• 8 th Class 3rd Lang Hindi
• 9th class 2nd Lang Hindi
• 10th class 2nd Lang Hindi
• 5th sanskrit holiday homework 2nd Lang
• 5th class holiday homework sanskrit 3rd Lang
• 6th class holiday homework sanskrit 2nd Lang
• 6th Class holiday homework 3rd Lang – Sanskrit
• 7th Class holiday homework Sanskrit 2nd Lang
• 7th class holiday homework sanskrit 3rd Lang
• 8th Class holiday homework Sanskrit 2nd Lang
• 8th class holiday homework sanskrit 3rd Lang
• 9th holiday homework Sanskrit 2nd Lang
• 10th holiday homework 2nd Lang
• 4th class holiday homework 2nd Lang telugu
• 5th Class holiday homework 2nd Lang telugu
• 5th Class holiday homework 3rd Lang telugu
• 6th Class holiday homework 2nd Lang telugu
• 6th Class holiday homework 3rd Lang telugu
• 7h Class holiday homework 2nd Lang telugu
• 7th Class holiday homework 3rd Lang telugu
• 8th Class holiday homework 3rd Lang telugu
• 8th Class holiday homework 2nd Lang telugu
• 9th Class holiday homework 2nd Lang telugu
• 10th Class holiday homework 2nd Lang telugu

Mathematics

• Class 4 MATHEMATICS
• Class 5 MATHEMATICS
• Class 6 MATHEMATICS
• Class 7 MATHEMATICS
• Class 8 MATHEMATICS
• Class 9 MATHEMATICS
• Class 10 MATHEMATICS
• Class 12 (IIT) MATHEMATICS
• Class IG – I MATHEMATICS
• Class XII (CBSE) MATHEMATICS
• CLASS 4 HOLIDAYS HOMEWORK SCIENCE
• CLASS 5 HOLIDAY HOMEWORK SCIENCE
• CLASS 6 HOLIDAY HOMEWORK SCIENCE
• CLASS 7 HOLIDAY HOMEWORK SCIENCE
• CLASS 8 HOLIDAY HOMEWORK SCIENCE
• Class 9 HOLIDAY HOMEWORK PHYSICS
• CLASS 9 HOLIDAY HOMEWORK BIOLOGY
• CLASS 10 HOLIDAY HOMEWORK BIOLOGY
• CLASS 10 HOLIDAY HOMEWORK CHEMISTRY
• CLASS 10 HOLIDAY HOMEWORK PHYSICS
• CLASS 12 HOLIDAY HOMEWORK BIOLOGY
• CLASS 12 HOLIDAY HOMEWORK CHEMISTRY
• CLASS 12 HOLIDAY HOMEWORK PHYSICS(IIT)
• CLASS12 HOLIDAY HOMEWORK PHYSICS
• I.G.C.S.E HOLIDAY HOME WORK CHEMISTRY
• I.G.C.S.E HOLIDAY HOME WORK PHYSICS

Social Science

• Class 4 SOCIAL SCIENCE
• Class 5 SOCIAL SCIENCE
• Class 6 SOCIAL SCIENCE
• Class 7 SOCIAL SCIENCE
• Class 8 SOCIAL SCIENCE
• CLASS 9 SOCIAL SCIENCE
• Class 10 SOCIAL SCIENCE

Happy Birthday

May god bless you!

ONLINE ENQUIRY FORM 2021-22

Kindly read the general guidelines before filling the OE Form.

GENERAL GUIDELINES

• Fill in the Online Enquiry form carefully as it will be printed out and treated as an authenticated document for future school records.
• All fields to be filled in block letters. Fields marked with * are mandatory.
• Due to security reasons no special characters are allowed except in email. Use space in the place of special characters.
• Communication will be via email ID: [email protected]
• To submit the form, you are required to agree to the declaration at the end of the Online Enquiry form.
• Filling up of this form does not guarantee admission.

For Online Enquiry Click Here

• NCERT Solutions
• NCERT Solutions for Class 10

NCERT Solutions for Class 10 Maths

Ncert solutions for class 10 maths updated for 2023-24 session – free pdf download.

The answers to the questions present in the NCERT books are undoubtedly the best study material a student can get hold of. These CBSE NCERT Solutions for Class 10 Maths 2023-24 will also help students to build a deeper understanding of concepts covered in the textbook. Practising the textbook questions will help students analyse their level of preparation and knowledge of concepts. The solutions to these questions present in the NCERT books can help students to clear their doubts quickly.

NCERT Solutions Class 10 Maths Chapters NCERT Solutions Class 10 Maths Chapter Details CBSE Class 10 Maths Exam Pattern 2023-2024 CBSE Class 10 Chapter-wise Marks Weightage CBSE Question Paper Design

NCERT Solutions Class 10 Maths Chapters

• 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 Some Applications of Trigonometry
• Chapter 10 Circles
• Chapter 11 Areas Related to Circles
• Chapter 12 Surface Areas and Volumes
• Chapter 13 Statistics
• Chapter 14 Probability

The following are the chapters that have been removed from the NCERT Class 10 Maths textbook 2023-24.

Constructions

NCERT Solutions for Class 10 Maths Free PDF Download

NCERT Solutions of Class 10 Maths list comprises all the chapter-wise answers to the questions present in the NCERT Book for Class 10 Maths, written in a very precise and lucid manner, maintaining the objective of textbooks. The students can refer to the  NCERT Solutions for Class 10 as their additional references and study materials. Practising NCERT textbook exercise solutions will surely help the students in their preparation for the examination.

NCERT Solutions Class 10 Maths Chapter Details and Exercises

Ncert solutions for class 10 maths chapter 1 real numbers.

In Chapter 1 of Class 10, students will explore real numbers and irrational numbers. The chapter starts with the Euclid’s Division Lemma, which states that “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”. The Euclid’s Division algorithm is based on this lemma and is used to calculate the HCF of two positive integers. Then, the Fundamental Theorem of Arithmetic is defined, which is used to find the LCM and HCF of two positive integers. After that, the concept of an irrational number, a rational number and the decimal expansion of rational numbers are explained with the help of the theorem.

Topics Covered in Class 10 Maths Chapter 1 Real Numbers :

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5

Important Steps –

To obtain the HCF of two positive integers, say c and d, with c > d, follow the steps below:

Step 1: Apply Euclid’s division lemma to c and d. So, we find whole numbers, q and r, such that c = dq + r, 0 ≤ r < d.

Step 2: If r = 0, d is the HCF of c and d. If r ≠ 0, apply the division lemma to d and r.

Step 3: Continue the process till the remainder is zero. The divisor at this stage will be the required HCF. This algorithm works because HCF (c, d) = HCF (d, r), where the symbol HCF (c, d) denotes the HCF of c and d, etc.

Also, access the following resources for NCERT Class 10 Chapter 1 Real Numbers, at BYJU’S:

• NCERT Real Numbers Class 10 Notes
• Real Numbers Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Real Numbers
• RD Sharma Solutions Real Numbers Class 10

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

In Polynomials , the chapter begins with the definition of the degree of the polynomial, linear polynomial, quadratic polynomial and cubic polynomial. This chapter has a total of 4 exercises, including an optional exercise. Exercise 2.1 includes questions on finding the number of zeroes through a graph. It requires an understanding of the Geometrical Meaning of the Zeroes of a Polynomial. Exercise 2.2 is based on the Relationship between Zeroes and Coefficients of a Polynomial, where students have to find the zeros of a quadratic polynomial and in some of the questions, they have to find the quadratic polynomial. In Exercise 2.3, the concept of the division algorithm is defined, and students will find the questions related to it. The optional exercise, 2.4, consists of the questions from all the concepts of Chapter 2.

Topics Covered in Class 10 Maths Chapter 2 Polynomials :

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

We first arrange the terms of the dividend and the divisor in the decreasing order of their degrees. Recall that arranging the terms in this order is called writing the polynomials in standard form.

Step 1: To obtain the first term of the quotient, divide the highest degree term of the dividend by the highest degree term of the divisor. Then carry out the division process.

Step 2: Now, to obtain the second term of the quotient, divide the highest degree term of the new dividend by the highest degree term of the divisor. Again, carry out the division process.

Step 3: Now, the degree of the remainder is less than the degree of the divisor. So, we cannot continue the division any further.

Here again, we see that Dividend = Divisor × Quotient + Remainder. What we are applying here is an algorithm which is similar to Euclid’s division algorithm that you studied in Chapter 1.

This says that

If p(x) and g(x) are any two polynomials with g(x) ≠ 0, then we can 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 result is known as the Division Algorithm for polynomials.

Also, access the following resources for NCERT Class 10 Chapter 2 Polynomials, at BYJU’S:

• NCERT Polynomials Class 10 Notes
• Polynomials Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Polynomials
• RD Sharma Solutions Polynomials Class 10

NCERT Solutions of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

This chapter explains the concept of Pair of Linear Equations in Two Variables . This chapter has a total of 7 exercises, and in these exercises, different methods of solving the pair of linear equations are described. Exercise 3.1 describes how to represent a situation algebraically and graphically. Exercise 3.2 explains the methods of solving the pair of the linear equation through the Graphical Method. Exercises 3.3, 3.4, 3.5 and 3.6 describe the Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method, respectively. Exercise 3.7 is an optional exercise which contains all types of questions. Students must practise these exercises to master the method of solving linear equations.

Topics Covered in Class 10 Maths Chapter 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, by elimination. Simple situational problems.

Important Formulas –

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 all real numbers and a 1 2 + b 1 2 ≠ 0, a 2 2 + b 2 2 ≠ 0.

Also, access the following resources for NCERT Class 10 Chapter 3 Pair of Linear Equations in Two Variables, at BYJU’S:

• NCERT Pair of Linear Equations in Two Variables Class 10 Notes
• Pair of Linear Equations in Two Variables Class 10 Important Questions ,
• NCERT Exemplar Solutions Class 10 Pair of Linear Equations in Two Variables
• RD Sharma Solutions Pair of Linear Equations in Two Variables Class 10

NCERT Solutions of Class 10 Maths Chapter 4 Quadratic Equations

In this chapter, students will get to know the standard form of writing a Quadratic Equation . The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method. The chapter ends with the topic on finding the nature of roots, which states that a quadratic equation ax² + bx + c = 0 has

• Two distinct real roots, if b² – 4ac > 0
• Two equal roots, if b² – 4ac = 0
• No real roots, if b² – 4ac < 0

Topics Covered in Class 10 Maths Chapter 4 Quadratic Equations :

The 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 formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities are to be incorporated.

If b 2 – 4ac > 0, we get two distinct real roots

If b 2 – 4ac = 0, then

So, the roots of the equation ax 2 + bx + c = 0 are both -b/2a.

Therefore, we say that the quadratic equation ax 2 + bx + c = 0 has two equal real roots in this case.

If b 2 – 4ac < 0, then there is no real number whose square is b 2 – 4ac. Therefore, there are no real roots for the given quadratic equation in this case.

Since b 2 – 4ac determines whether the quadratic equation ax 2 + bx + c = 0 has real roots or not, b 2 – 4ac is called the discriminant of this quadratic equation.

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.

Also, access the following resources for NCERT Class 10 Chapter 4 Quadratic Equations, at BYJU’S:

• NCERT Quadratic Equations Class 10 Notes
• Quadratic Equations Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Quadratic Equations
• RD Sharma Solutions Quadratic Equations Class 10

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions

This chapter introduces students to a new topic, Arithmetic Progression , i.e. AP. The chapter constitutes a total of 4 exercises. In Exercise 5.1, students will find the questions related to representing a situation in the form of AP, finding the first term and difference of an AP, finding out whether a series is AP or not. Exercise 5.2 includes the questions on finding out the nth term of an AP by using the following formula:

a n  = a + (n-1) d

The next exercise, i.e. 5.3, contains the questions on finding the sum of the first n terms of an AP. The last exercise includes higher-level questions based on AP to enhance students’ analytical and problem-solving skills.

Topics Covered in Class 10 Maths Chapter 5 Arithmetic Progressions :

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

If a 1 , a 2 , a 3 , a 4 , a 5 , a 6 , …  are the terms of AP and d is the common difference between each term, then we can write the sequence as; a ,  a+d, a+2d, a+3d, a+4d, a+5d,…., nth term… where a is the first term. Now, n th  term for arithmetic progression is given as;

n th  term = a + (n-1) d

Sum of the first n terms in Arithmetic Progression;

S n  = n/2 [2a + (n-1) d]

Also, access the following resources for NCERT Class 10 Chapter 5 Arithmetic Progressions, at BYJU’S:

• NCERT Arithmetic Progressions Class 10 Notes
• Arithmetic Progressions Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Arithmetic Progressions
• RD Sharma Solutions Arithmetic Progressions Class 10

NCERT Solutions for Class 10 Maths Chapter 6 Triangles

In Chapter 6 of Class 10 CBSE Maths, students will study those figures which have the same shape, but not necessarily the same size. The chapter Triangles starts with the concept of a similar and congruent figure. It further explains the condition for the similarity of two triangles and theorems related to the similarity of triangles. After that, the areas of similar triangles have been explained with a theorem. At the end of this chapter, the Pythagoras Theorem and the Converse of Pythagoras Theorem are described.

Topics Covered in Class 10 Maths Chapter 6 Triangles :

Definitions, examples, and counter examples of similar triangles. 1. (Prove) 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. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional, and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

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.

Also, access the following resources for NCERT Class 10 Chapter 6 Triangles, at BYJU’S:

• NCERT Triangles Class 10 Notes
• Triangles Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Triangles
• RD Sharma Solutions Triangles Class 10

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

In this chapter, students will learn how to find the distance between two points whose coordinates are given, and to find the area of the triangle formed by three given points. Along with this, students will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio. For this purpose, students will get introduced to the Distance Formula, Section Formula and Area of a Triangle in this chapter on Coordinate Geometry .

Topics Covered in Class 10 Maths Chapter 7 Coordinate Geometry :

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

Distance Formula

Section Formula

Also, access the following resources for NCERT Class 10 Chapter 7 Coordinate Geometry, at BYJU’S:

• NCERT Coordinate Geometry Class 10 Notes
• Coordinate Geometry Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Coordinate Geometry
• RD Sharma Solutions Coordinate Geometry Class 10

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry

This chapter will introduce students to Trigonometry . They will study some ratios of a right triangle with respect to its acute angles, called trigonometric ratios of the angles. The chapter also defines the trigonometric ratios for angles of 0 0 and 90 0 . Further, students will also know how to calculate trigonometric ratios for some specific angles and establish some identities involving these ratios, called trigonometric identities.

Topics Covered in Class 10 Maths Chapter 8 Introduction to Trigonometry :

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0 o and 90 o . Values of the trigonometric ratios of 30 0 , 45 0 and 60 0 . Relationships between the ratios. TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin 2 A + cos 2 A = 1. Only simple identities to be given

Trigonometry Maths formulas for Class 10 cover three major functions Sine, Cosine and Tangent for a right-angle triangle. Let a right-angled triangle ABC is right-angled at point B and have ∠θ.

Sin θ= \(\begin{array}{l}\frac{Side\, opposite\, to\, angle\, \theta}{Hypotenuse}\end{array} \) = \(\begin{array}{l}\frac{Perpendicular}{Hypotenuse}\end{array} \) = P/H

Cos θ = \(\begin{array}{l}\frac{Adjacent\, side\, to\, angle\, \theta}{Hypotenuse}\end{array} \) = \(\begin{array}{l}\frac{Base}{Hypotenuse}\end{array} \) = B/H

Tan θ = \(\begin{array}{l}\frac{Side\, opposite\, to\, angle\, \theta}{Adjacent\, side\, to\, angle\, \theta}\end{array} \) = P/B

Sec θ = \(\begin{array}{l}\frac{1}{cos\, \theta }\end{array} \)

Cot θ = \(\begin{array}{l}\frac{1}{tan\, \theta }\end{array} \)

Cosec θ = \(\begin{array}{l}\frac{1}{sin\, \theta }\end{array} \)

Tan θ = \(\begin{array}{l}\frac{Sin\, \theta }{Cos\, \theta }\end{array} \)

Trigonometry Table

Trigonometric Ratios of Complementary Angles

sin (90° – A) = cos A,

cos (90° – A) = sin A,

tan (90° – A) = cot A,

cot (90° – A) = tan A,

sec (90° – A) = cosec A,

cosec (90° – A) = sec A

sin 2 A + cos 2 A = 1,

sec 2 A – tan 2 A = 1 for 0° ≤ A < 90°,

cosec 2 A = 1 + cot 2 A for 0° < A ≤ 90°

Also, access the following resources for NCERT Class 10 Chapter 8 Trigonometry, at BYJU’S: 

• NCERT Introduction to Trigonometry Class 10 Notes
• Introduction to Trigonometry Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Introduction to Trigonometry
• RD Sharma Solutions Introduction to Trigonometry Class 10

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry

This chapter is the continuation of the previous chapter; here, the students will study the applications of trigonometry . It is used in geography, navigation, construction of maps, and determining the position of an island in relation to the longitudes and latitudes. In this chapter, students will see how trigonometry is used for finding the heights and distances of various objects without actually measuring them. They will get introduced to the term line of sight, angle of elevation, and angle of depression.

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

HEIGHTS AND DISTANCES – Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.

Important Points –

The line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer.

The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level, i.e. the case when we raise our head to look at the object.

The angle of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level, i.e. the case when we lower our head to look at the point being viewed.

You would need to know the following:

(i) The distance DE at which the student is standing from the foot of the minar

(ii) The angle of elevation, ∠ BAC, of the top of the minar

(iii) The height AE of the student.

Assuming that the above three conditions are known, how can we determine the height of the minar?

In the figure, CD = CB + BD. Here, BD = AE, which is the height of the student.

To find BC, we will use trigonometric ratios of ∠ BAC or ∠ A.

In ∆ ABC, the side BC is the opposite side in relation to the known ∠ A. Our search narrows down to using either tan A or cot A, as these ratios involve AB and BC.

Therefore, tan A = BC/AB or cot A = AB/BC, which on solving, would give us BC.

By adding AE to BC, you will get the height of the minar.

Also, access the following resources for NCERT Class 10 Chapter 9, Some Applications of Trigonometry, at BYJU’S: 

• NCERT Some Applications of Trigonometry Class 10 Notes
• Some Applications of Trigonometry Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Some Applications of Trigonometry
• RD Sharma Solutions Some Applications of Trigonometry Class 10

NCERT Solutions for Class 10 Maths Chapter 10 Circles

In earlier classes, students have studied about a circle and various terms related to a circle, such as a chord, segment, arc, etc. In this chapter, students will study the different situations that arise when a circle and a line are given in a plane. So, they will get thorough with the concept of Tangent to a Circle and Number of Tangents from a Point on a Circle.

Topics Covered in Class 10 Maths Chapter 10 Circles:

Tangent to a circle at point of contact 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) 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.

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.

Also, access the following resources for NCERT Class 10 Chapter 10 Circles at BYJU’S: 

• NCERT Circles Class 10 Notes
• Circles Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Circles
• RD Sharma Solutions Circles Class 10

NCERT Solutions for Class 10 Maths Chapter 11 Constructions

This chapter consists of a total of 2 exercises. Whatever students have learned about construction in earlier classes will also help them. In Exercise 11.1, students will study how to divide a line segment, whereas in Exercise 11.2, they will study the construction of tangents to a circle. Methods and steps for construction are explained, and also some examples are additionally given to make it clearer to the students.

Topics Covered in Class 10 Maths Chapter 11 Constructions :

1. Division of a line segment in a given ratio (internally). 2. Tangent to a circle from a point outside it. 3. Construction of a triangle similar to a given triangle.

Construction 11.1: To divide a line segment in a given ratio.

Construction 11.2: To construct a triangle similar to a given triangle as per the given scale factor.

Construction 11.3: To construct the tangents to a circle from a point outside it.

Also, access the following resources for NCERT Class 10 Chapter 11 Constructions, at BYJU’S:

• NCERT Constructions Class 10 Notes
• Constructions Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Constructions
• RD Sharma Solutions Constructions Class 10

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles

This chapter begins with the concepts of the perimeter and area of a circle. Using this concept, the chapter further explains how to find the area of sector and segment of a circular region. Moreover, students will get clarity on finding  the areas of some combinations of plane figures involving circles or their parts.

Topics Covered in Class 10 Maths Chapter 12 Areas Related to Circles :

Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only.

circumference = 2πr

area of the circle = πr 2

Area of the sector of angle θ = (θ/360) × π r 2

Length of an arc of a sector of angle θ = (θ/360) × 2 π r where r is the radius of the circle

Also access the following resources for NCERT Class 10 Chapter 12 Areas Related to Circles at BYJU’S: 

• NCERT Areas Related to Circles Class 10 Notes
• Areas Related to Circles Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Areas Related to Circles
• RD Sharma Solutions Areas Related to Circles Class 10

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes

In Chapter 13, there are a total of 5 exercises. The first exercise consists of questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e. cuboid, cone, cylinder , sphere and hemisphere. In exercise 13.2, questions are based on finding the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere. Exercise 13.3 deals with the questions in which a solid is converted from one shape to another. Exercise 13.4 is based on finding the volume, curved surface area and total surface area of a frustum of a cone. The last exercise is optional and has high-level questions based on all the topics of this chapter.

Topics Covered in Class 10 Maths Chapter 13 Surface Areas and Volumes:

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

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

Diameter of sphere = 2r

Surface area of sphere = 4 π r 2

Volume of Sphere = 4/3 π r 3

Curved surface area of Cylinder = 2 πrh

Area of two circular bases = 2 πr 2

Total surface area of Cylinder = Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr 2

Volume of Cylinder = π r 2  h

Slant height of cone = l = √(r 2  + h 2 )

Curved surface area of cone = πrl

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

Volume of cone = ⅓ π r 2  h

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

Length of the longest diagonal of a cuboid = √(l 2  + b 2  + h 2 )

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

Volume of Cuboid = l × b × h

Also, access the following resources for NCERT Class 10 Chapter 13 Surface Areas and Volumes, at BYJU’S: 

• NCERT Surface Areas and Volumes Class 10 Notes
• Surface Areas and Volumes Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Surface Areas and Volumes
• RD Sharma Solutions Surface Areas and Volumes Class 10

NCERT Solutions for Class 10 Maths Chapter 14 Statistics

Here, students will learn the numerical representation of ungrouped data to grouped data and find the Mean, Mode and Median. Also, the concept of cumulative frequency, cumulative frequency distribution and how to draw cumulative frequency curves will be explained.

Topics Covered in Class 10 Maths Chapter 14 Statistics :

Mean, median and mode of grouped data (bimodal situation to be avoided).

The mean of the grouped data  can be found by 3 methods.

• Direct Method: x̅ = \(\begin{array}{l}\frac{\sum_{i=1}^{n}f_i x_i}{\sum_{i=1}^{n}f_i}\end{array} \) , where ∑f i x i is the sum of observations from value i = 1 to n And ∑f i is the number of observations from value i = 1 to n
• Assumed mean method : x̅ = \(\begin{array}{l}a+\frac{\sum_{i=1}^{n}f_i d_i}{\sum_{i=1}^{n}f_i}\end{array} \)
• Step deviation method : x̅ = \(\begin{array}{l}a+\frac{\sum_{i=1}^{n}f_i u_i}{\sum_{i=1}^{n}f_i}\times h\end{array} \)

The mode of grouped data:

Mode = \(\begin{array}{l}l+\frac{f_1 – f_0}{2f_1 – f_0 – f_2} \times h\end{array} \)

The median for a grouped data:

Median = \(\begin{array}{l}l+\frac{\frac{n}{2} – cf}{f} \times h\end{array} \)

Also, access the following resources for NCERT Class 10 Chapter 14 Statistics, at BYJU’S: 

• NCERT Statistics Class 10 Notes
• Statistics Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Statistics
• RD Sharma Solutions Statistics Class 10

NCERT Solutions for Class 10 Maths Chapter 15 Probability

The last chapter deals with Probability. The chapter starts with the theoretical approach of probability. Subsequently, the chapter explains the difference between  experimental probability and theoretical probability. There are various examples given to  explain it in a n effective way . So, before going through the exercise problems, students must solve the examples of CBSE Maths first.

Topics Covered in Class 10 Maths Chapter 15 Probability:

Classical definition of probability. Simple problems on finding the probability of an event.

• The theoretical probability (also called classical probability) of an event E, written as P(E), is defined as

where we assume that the outcomes of the experiment are equally likely.

• The probability of a sure event (or certain event) is 1.
• The probability of an impossible event is 0.
• The probability of an event E is a number P(E) such that 0 ≤ P (E) ≤ 1
• An event having only one outcome is called an elementary event. The sum of the probabilities of all the elementary events of an experiment is 1.

Also, access the following resources for NCERT Class 10 Chapter 15 Probability, at BYJU’S: 

• NCERT Probability Class 10 Notes
• Probability Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Probability
• RD Sharma Solutions Probability Class 10

NCERT Solutions for Class 10 Maths PDF in English Medium, as well as Hindi Medium (हिंदी मीडियम) for the academic year 2023-24, are followed by not only CBSE but also UP Board, Uttarakhand board and all other boards following NCERT Textbooks.

CBSE Class 10 Maths Chapter-wise Marks Weightage for 2023-24

 internal assessment class 10, benefits of ncert solutions class 10 maths:.

The Class 10 NCERT Solutions of Maths given here in PDFs have several benefits, which include:

• The solutions given here are very easy-to-understand.
• Solutions are provided in steps for better understanding.
• Diagrams are given to help the students to visualise the solutions.
• All the questions from each chapter are covered.

Students are advised to prepare all the chapters covered in the solution modules, which will eventually help them to gain a deeper knowledge of concepts. For effective preparations, it is essential for students to understand all the steps provided in the solutions.

How are CBSE Class 10 Maths Solutions of NCERT Helpful for the Board Exams?

CBSE Class 10 Maths is an important subject for students. Here, we have provided complete assistance to students for their preparation. Class 10 is the first benchmark for any student that will reflect in future records of achievement. CBSE always prescribes the NCERT books for exam preparation.

Exam preparation is a rigorous process that requires an overall understanding of individual chapters. This process demands hard work towards studies and an effective approach to getting through the solutions. This significant role is played by NCERT 10 Class Maths Solutions to equip students in preparation for competitive entrance exams. NCERT books are best known for putting forth the concepts in a simple way for better understanding. NCERT Class 10 Books for Mathematics are written in the most lucid and clear manner that helps to break the complex problems in the most efficient way.

Keep visiting to get complete chapter-wise NCERT Solutions for Class 10 Maths PDF free download for all the classes. Students can also find the NCERT Solutions for Class 10 Science , at BYJU’S. Students can download BYJU’S App to get a personalised learning experience and prepare for the exams more effectively.

Frequently Asked Questions on NCERT Solutions for Class 10 Maths

How to grasp the important concepts covered in the ncert solutions for class 10 maths , will the ncert solutions for class 10 maths help me to solve problems easily, where will i get the ncert solutions for class 10 maths pdf, are the ncert solutions for class 10 maths useful for the students under the cbse board, how to get an idea about the important concepts in the ncert solutions for class 10 maths , is byju’s ncert solutions for class 10 maths important, is the ncert solutions for class 10 maths the best reference guide for cbse students.

• Share Share

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

Trial Class

NCERT Solutions for Class 10 Maths

Updated NCERT Solutions for Class 10 Mathematics in Hindi and English Medium for session 2024-25 are given here. Chapters of Class 10 Maths with Syllabus and NCERT Solutions CBSE Syllabus Class 10 Maths for 2024-25 Chapter 1. Real Numbers Chapter 2. Polynomials Chapter 3. Pair of Linear Equations Chapter 4. Quadratic Equations Chapter 5. Arithmetic Progression Chapter 6. Triangles Chapter 7. Coordinate Geometry Chapter 8. Introduction to Trigonometry Chapter 9. Applications of Trigonometry Chapter 10. Circles Chapter 11. Area Related to Circles Chapter 12. Surface Areas and Volumes Chapter 13. Statistics Chapter 14. Probability

NCERT Solutions Class 10 Maths

At Tiwari Academy, we provide NCERT Solutions in PDF format and also through Videos on our website. These solutions of mathematics are based on the latest syllabus for class 10 Maths academic year 2024-25. Students and teachers alike with find them highly useful till their learning journey.

Check here the complete Curriculum of Class 10 Maths for 2024-25 Board Exams . Class 10 Maths solution guides are available in both Hindi and English Medium. Users of class 10 mathematics can be confident that the solutions provided by Tiwari Academy are not only accurate but simple to understand as well. Rate and Review with your feedback. Class 10 Solutions Apps Download Class 10 Maths NCERT solutions at Tiwari Academy is used by students and teachers because these are designed by Maths experts. They follow the curriculum prescribed by the central educational board namely CBSE. Oswaal CBSE Question Banks Class 10 2024-25 for 2024 Board Exam | Trusted by 3 Lakh Teachers, 50000 Schools, and 13M Parents . They provide step-by-step explanations for various mathematical concepts, formulas, and problem-solving techniques.

• Regular practice helps to reinforce or cement the mathematical concepts already learnt in class 10. Remember the saying that PRACTICE MAKES A MAN PERFECT. Towards this end, Tiwari Academy provides simple solutions which are user friendly.
• By Making use of these solutions, the understanding of 10th Mathematics as a practical tool in solving day to day problems become possible.
• Further, scoring marks in class 10 mathematics becomes a child’s play.

Students of grade 10 mathematics, finds here the revised and modified Class 10 Maths NCERT solutions based on new curriculum . Using these solutions enhance the understanding of the subject and improve your problem-solving skills in class 10 Maths. Oswaal CBSE Sample Papers Class 10 2024-25 for 2025 Board Exam | Trusted by 3 Lakh Teachers, 50000 Schools, and 13 M Parents .

Class 10 Mathematics Revised Syllabus for 2024-25

• CBSE Syllabus for Class 10 Maths

Class 10 Solution Apps

Solutions of all exercises from Chapters 1 to 14 and textbooks from NCERT website are available in PDF at Tiwari Academy. The NCERT textbook solutions are easy to understand. These concepts help to score good marks in school test and also in the board exams class 10 mathematics.

Perfection in Class 10 Mathematics needs constant practice. Ideally, few examples and few unsolved questions based on those examples need to be practised. A variety of questions should be solved because there has been change in the examination pattern. Now a days, the focus is on conceptual learning. practice of past exams papers covering 4 to 5 years is a good way to master mathematics in class 10. Students can try solving problems by different methods to enhance their capabilities.

Get the Class 10 Maths solution solved through different methods making easier for the students. Visit our website and navigate to the E-Books section to find the Class 10 Maths textbook and its exercises solution. If students already have a good understanding of the basic concepts, they need less time to cover the syllabus .

Tiwari Academy website and Apps offers Class 10 Maths NCERT solutions free of cost. The mobile apps available for both Android and iOS devices.

Class 10 Maths All Chapters Solution at new pattern Find  NCERT Solutions for Class 10 Maths App all Chapters, are revised updated topic wise for session 2024-25 both Hindi and English medium.

NCERT Class 10 Maths all Chapter’s Solution

As per the revised NCERT book for 10th Maths released for 2024-25, there are 14 chapters in all, further subdivided into exercises separating various Mathematics topics. Mathematics is one of the most important subject in 10th education and students need continuous practice to master the subject. Perfection in class 10th mathematics makes the preparation of subjects like Physics, Economics and higher mathematics in senior classes easy to understand.

NCERT Solutions for Class 10 Maths Chapter 1 – Real Numbers

In Class 10 Maths Chapter 1 , Real Numbers, student learn about a detailed knowledge in real numbers and irrational numbers. Read about Euclid’s Division Lemma and Fundamental Theorem of Arithmetic. Get here all the exercises of Class 10 Maths Chapter 1 in PDF Format.

Class 10 Maths Chapter 1 in English for CBSE Board Class 10 Maths Exercise 1.1 in English Class 10 Maths Exercise 1.2 in English

Class 10 Maths Chapter 1 in English for State Board Class 10 Maths Exercise 1.1 in English Class 10 Maths Exercise 1.2 in English Class 10 Maths Exercise 1.3 in English Class 10 Maths Exercise 1.4 in English

Tiwari Academy’s NCERT solutions are available in both English and Hindi which makes it accessible to students from both language backgrounds.

Class 10 Maths Chapter 1 in Hindi Medium Class 10 Maths Exercise 1.1 in Hindi Class 10 Maths Exercise 1.2 in Hindi

Topics to be covered in Class 10 Maths Chapter 1 Real Numbers Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3 and √5.

NCERT Solutions for Class 10 Maths Chapter 2 – Polynomials

Student get  Class 10 Maths NCERT Solutions Chapter 2 Polynomials with free of cost. Detailed solutions for all exercise are given here for CBSE and State board students. Class 10 Maths Chapter 2 in English for CBSE Board Class 10 Maths Exercise 2.1 in English Class 10 Maths Exercise 2.2 in English

Class 10 Maths Chapter 2 in English for State Board Class 10 Maths Exercise 2.1 in English Class 10 Maths Exercise 2.2 in English Class 10 Maths Exercise 2.3 in English Class 10 Maths Exercise 2.4 in English Tiwari Academy’s NCERT solutions are available for free. These are great resource for students who want to excel in their Class 10 Maths exams and to prepare for success in their future. Class 10 Maths Chapter 2 in Hindi Medium Class 10 Maths Exercise 2.1 in Hindi Class 10 Maths Exercise 2.2 in Hindi Class 10 Maths Chapter 2 Polynomials Topics for Exams Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

NCERT Solutions for Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables

Class 10 Maths chapter 3  explains the concept of Pair of Linear Equations in Two Variables. It is just a continuation of we have studied in previous class. Class 10 Maths Chapter 3 in English for CBSE Board Class 10 Maths Exercise 3.1 in English Class 10 Maths Exercise 3.2 in English Class 10 Maths Exercise 3.3 in English

Class 10 Maths Chapter 3 in English for State Board Class 10 Maths Exercise 3.1 in English Class 10 Maths Exercise 3.2 in English Class 10 Maths Exercise 3.3 in English Class 10 Maths Exercise 3.4 in English Class 10 Maths Exercise 3.5 in English Class 10 Maths Exercise 3.6 in English Class 10 Maths Exercise 3.7 in English

Class 10 Maths Chapter 3 in Hindi Medium Class 10 Maths Exercise 3.1 in Hindi Class 10 Maths Exercise 3.2 in Hindi Class 10 Maths Exercise 3.3 in Hindi Main Topics of Class 10 Maths Chapter 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, by elimination. Simple situational problems.

NCERT Solutions for Class 10 Maths Chapter 4 – Quadratic Equations

Class 10 Maths chapter 4  provides help to know about the standard form of writing a quadratic equation. Class 10 Maths Chapter 4 in English for CBSE Board Class 10 Maths Exercise 4.1 in English Class 10 Maths Exercise 4.2 in English Class 10 Maths Exercise 4.3 in English

Class 10 Maths Chapter 4 in English for State Board Class 10 Maths Exercise 4.1 in English Class 10 Maths Exercise 4.2 in English Class 10 Maths Exercise 4.3 in English Class 10 Maths Exercise 4.4 in English

Class 10 Maths Chapter 4 in Hindi Medium Class 10 Maths Exercise 4.1 in Hindi Class 10 Maths Exercise 4.2 in Hindi Class 10 Maths Exercise 4.3 in Hindi Class 10 Maths Chapter 4 Quadratic Equations Topics Standard form of a quadratic equation ax² + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

NCERT Solutions for Class 10 Maths Chapter 5 – Arithmetic Progressions

Class 10 Maths chapter 5  introduces new topic that is Arithmetic Progression which is also known as A.P. Its importance carry on in next classes also. Class 10 Maths Chapter 5 in English CBSE and State Board Class 10 Maths Exercise 5.1 in English Class 10 Maths Exercise 5.2 in English Class 10 Maths Exercise 5.3 in English Class 10 Maths Exercise 5.4 in English

Class 10 Maths Chapter 5 in Hindi Medium Class 10 Maths Exercise 5.1 in Hindi Class 10 Maths Exercise 5.2 in Hindi Class 10 Maths Exercise 5.3 in Hindi Class 10 Maths Exercise 5.4 in Hindi Class 10 Maths Chapter 5 Arithmetic Progressions Topics for Board Exams 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.

NCERT Solutions for Class 10 Maths Chapter 6 – Triangles

In Class 10th Maths chapter 6 , learn about study those figures which have the same shapes but not necessarily the same size. Class 10 Maths Chapter 6 in English for CBSE Board Class 10 Maths Exercise 6.1 in English Class 10 Maths Exercise 6.2 in English Class 10 Maths Exercise 6.3 in English

Class 10 Maths Chapter 6 in English for State Board Class 10 Maths Exercise 6.1 in English Class 10 Maths Exercise 6.2 in English Class 10 Maths Exercise 6.3 in English Class 10 Maths Exercise 6.4 in English Class 10 Maths Exercise 6.5 in English Class 10 Maths Exercise 6.6 in English

Class 10 Maths Chapter 6 in Hindi Medium Class 10 Maths Exercise 6.1 in Hindi Class 10 Maths Exercise 6.2 in Hindi Class 10 Maths Exercise 6.3 in Hindi Class 10 Maths Chapter 6 Triangles Topics to be Covered Definitions, examples, counter examples of similar triangles. 1. (Prove) 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. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

NCERT Solutions for Class 10 Maths Chapter 7– Coordinate Geometry

Class X Maths chapter 7  explains that how to find the distance between two points if the coordinates are given. Class 10 Maths Chapter 7 in English for CBSE Board Class 10 Maths Exercise 7.1 in English Class 10 Maths Exercise 7.2 in English

Class 10 Maths Chapter 7 in English for CBSE Board Class 10 Maths Exercise 7.1 in English Class 10 Maths Exercise 7.2 in English Class 10 Maths Exercise 7.3 in English Class 10 Maths Exercise 7.4 in English

To prepare for Class 10 Maths using Tiwari Academy online educational platform, visit the website and navigate to the Class 10 Maths NCERT solutions section and the relevant resource area. Class 10 Maths Chapter 7 in Hindi Medium Class 10 Maths Exercise 7.1 in Hindi Class 10 Maths Exercise 7.2 in Hindi Class 10 Maths Solutions Chapter 7 Coordinate Geometry Main Points to Study Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

NCERT Solutions for Class 10 Maths Chapter 8 – Introduction to Trigonometry

Get here  10th Maths chapter 8  provided by the Maths expert of Tiwari Academy. Class 10 Maths Chapter 8 in English for CBSE Board Class 10 Maths Exercise 8.1 in English Class 10 Maths Exercise 8.2 in English Class 10 Maths Exercise 8.3 in English

Class 10 Maths Chapter 8 in English for State Board Class 10 Maths Exercise 8.1 in English Class 10 Maths Exercise 8.2 in English Class 10 Maths Exercise 8.3 in English Class 10 Maths Exercise 8.4 in English

Class 10 Maths Chapter 8 in Hindi Medium Class 10 Maths Exercise 8.1 in Hindi Class 10 Maths Exercise 8.2 in Hindi Class 10 Maths Exercise 8.3 in Hindi Class 10 Maths Chapter 8 Introduction to Trigonometry Topics for Session 2024-25 Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 30°, 45°, and 60°. Relationships between the ratios. Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given.

NCERT Solutions for Class 10 Maths Chapter 9 – Some Applications of Trigonometry

Learn here the different ways to solve  Class 10 Maths chapter 9  questions using diagrams. All sums are well explained and solved with an easy method so that 10th class student can clear all their doubts. There is only one topic, height and distance, in NCERT solutions for class 10 math chapter 9 Some Applications of Trigonometry.

Class 10 Maths Chapter 9 in English for CBSE and State Board Class 10 Maths Exercise 9.1 in English

Class 10 Maths Chapter 9 in Hindi Medium Class 10 Maths Exercise 9.1 in Hindi Class 10 Maths Chapter 9 Applications of Trigonometry Focus Points Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

NCERT Solutions for Class 10 Maths Chapter 10 Circles

Find here the best Class 10 Maths chapter 10 solutions explained through figures and diagrams. There are two topics in chapter 10 which covers, the tangent at any point of a circle, the lengths of tangents of the circle which are drawn from an external point etc. Class 10 Maths Chapter 10 in English for CBSE and State Board Class 10 Maths Exercise 10.1 in English Class 10 Maths Exercise 10.2 in English

Class 10 Maths Textbook Solution Chapter 10 in Hindi Medium Class 10 Maths Exercise 10.1 in Hindi Class 10 Maths Exercise 10.2 in Hindi The Main points of Class 10 Maths Chapter 10 Circles Tangent to a circle at, point of contact. 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

NCERT Solutions for Class 10 Maths Chapter 11 Areas Related to Circles

Download Class 10 Maths chapter 11 to learn about two dimensional figures areas. All solutions are well solved by professional Maths teachers at Tiwari Academy. There are three topics covered in chapter 11 of grade X Maths NCERT. Class 10 Maths Chapter 11 in English for CBSE Board Class 10 Maths Exercise 11.1 in English

Class 10 Maths Chapter 11 in English for State Boards Class 10 Maths Chapter 11 Exercise 11.1 Class 10 Maths Chapter 11 Exercise 11.2

Class 10 Maths Chapter 11 in Hindi Medium Class 10 Maths Exercise 11.1 in Hindi Course for Class 10 Maths Chapter 11 Areas Related to Circles Area of sectors and segments of a circle. Problems based on areas and perimeter /circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.

NCERT Solutions for Class 10 Maths Chapter 12 – Surface Areas and Volumes

There are a total of five exercises in Class 10 Maths chapter 12 . Learn here about finding the surface area of cuboid, cone, sphere, cylinder and hemisphere etc. In this way student can get every info from the solutions of class 10 Maths chapter 12. Class 10 Maths Chapter 12 in English for CBSE Board Class 10 Maths Exercise 12.1 in English Class 10 Maths Exercise 12.2 in English

Class 10 Maths Chapter 12 in English for State Boards Class 10 Maths Chapter 12 Exercise 12.1 Class 10 Maths Chapter 12 Exercise 12.2 Class 10 Maths Chapter 12 Exercise 12.3

Class 10 Maths Chapter 12 in Hindi Medium Class 10 Maths Exercise 12.1 in Hindi Class 10 Maths Exercise 12.2 in Hindi Class 10 Maths Chapter 12 Surface Areas and Volumes Syllabus Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

NCERT Solutions for Class 10 Maths Chapter 13 Statistics

All the exercises of Class 10 Maths chapter 13 are explained in Hindi and English Medium. The NCERT textbook for class 10 mathematics chapter 13 Statistics covers cumulative frequency, cumulative frequency distribution, draw cumulative frequency curves, Cumulative frequency graph etc. Class 10 Maths Chapter 13 in English for CBSE Board Class 10 Maths Exercise 13.1 in English Class 10 Maths Exercise 13.2 in English Class 10 Maths Exercise 13.3 in English

Class 10 Maths Chapter 13 for State Boards Class 10 Maths Chapter 13 Exercise 13.1 Class 10 Maths Chapter 13 Exercise 13.2 Class 10 Maths Chapter 13 Exercise 13.3 Class 10 Maths Chapter 13 Exercise 13.4 Class 10 Maths Chapter 13 Exercise 13.5

Class 10 Maths Chapter 13 in Hindi Medium Class 10 Maths Exercise 13.1 in Hindi Class 10 Maths Exercise 13.2 in Hindi Class 10 Maths Exercise 13.3 in Hindi Curriculum for Class 10 Maths Chapter 13 Statistics Mean, median and mode of grouped data (bimodal situation to be avoided).

NCERT Solutions for Class 10 Maths Chapter 14 Probability

Class 10 Maths chapter 14 explains more about the concepts of Probability, whose basics are already learnt in the previous classes. In the beginning of the chapter 14, learn the definition of probability. Chapter 14 Probability covers not only the concept of probability but it includes the Simple problems also. Class 10 Maths Chapter 14 in English for CBSE Board Class 10 Maths Exercise 14.1 in English

Class 10 Maths Chapter 14 in English for State Boards Class 10 Maths Chapter 14 Exercise 14.1 Class 10 Maths Chapter 14 Exercise 14.2 Class 10 Maths Chapter 14 Exercise 14.3 Class 10 Maths Chapter 14 Exercise 14.4

Class 10 Maths Chapter 14 in Hindi Medium Class 10 Maths Exercise 14.1 in Hindi Class 10 Maths Chapter 14 Probability Focus Points Classical definition of probability. Simple problems on finding the probability of an event.

Importance of Learning NCERT Solutions for Class 10 Maths from Tiwari Academy NCERT Solutions for Class 10 Maths from Tiwari Academy  are designed by the experienced school teachers having years of experience. It benefits the students of class 10 by providing topic-wise and chapter-wise detailed solution and answers.

Strengthens Your Basics All chapters of class 10 Maths solutions are well designed to make it easier for the students. Please contact us if there arises any difficulty in understanding the solutions provided by us. Al the answers provided by Tiwari Academy are thoroughly reviewed before placing them before the worthy users. Our aim is to see that students reach their maximum potential and get best possible marks.

A Quick and Effective Revision Tool NCERT solutions are created in such a manner that it helps students in the event of queries or doubts in a proper way. NCERT book and its solutions are handy during exam preparation as these are the best quick and effective revision tool for board exam.

Develops an Ability of Student to Solve Sums Tiwari Academy class 10 mathematics solutions are explain in such a way that problem solving in day to day life becomes easy. Students can correlate theoretical knowledge with practical application. They can generate systematic solutions to questions asked in the examination also.

Increases Student’s Confidence The class 10 Maths solutions helps to build a conceptual understanding of all exercises by providing sufficient cases, and if the student gets practice well before the exam, then they can have high confidence.

How Class 10 Maths Solutions of NCERT Book Helpful for Board Exams?

Class 10 Maths Solutions of NCERT textbook are very helpful for Board Exams as all the questions are taken from Basic Mathematics. Student can find many examples here related the topic’s solution so that student can clear all concepts. It is a perfect guide to help student to score good marks in Board Exams. All solutions are based on the latest CBSE syllabus .

Preparation of Mathematics in Class 10 Study

The solved examples help students to get a clear idea of the concepts given in exercises. Our experts have created exercises solutions that are simplified to learn according to the given examples. It is made as per the latest 2024-25 CBSE Syllabus and Marking scheme.

Class 10 Maths solution for the first and second term are given here for new curriculum which are prescribed by the NCERT – National Council of Educational Research and Training (https://ncert.nic.in/).

How to study Class 10 Maths using NCERT Solutions?

Get here the revised and new NCERT Solutions for Class 10 Maths updated for 2024-25 exams. Creating a structured study plan for learning Class 10 Mathematics with the help of NCERT Solutions is essential for effective preparation. The consistency, practice, and understanding of fundamental concepts are crucial for success in Class 10 Maths. Stick to your study plan, and you’ll be well-prepared for your exams. Here’s a step-by-step study plan to help you excel in Class 10 Maths board exams.

Step 1: Understand the Syllabus, Gather Resources like Books and Study Material.

Step 2: start with basics, use ncert solutions and take notes of important terms., step 3: focus on regular practice, self-assessment and seek clarification., step 4: practice time management, stay healthy, make revision and review of course., step 5: maintain the practice time daily for maths revision during final exam preparation..

Which book is better to Class 10 Maths for Board Exams?

NCERT textbook for 10th Maths is the only book for both, Basic and Standard, courses to get well prepared for board exams. It is the best reference book which clear all the concept asked in board exam question papers. Keep in mind that the question paper of the board examination is based on NCERT textbook only, so do practice NCERT book thoroughly to score better in exams. To prepare for CBSE board exams, focus on these five main key points:

• Use Class 10 Maths NCERT textbook on the latest syllabus only.
• Solve previous years’ like questions from 10th Maths NCERT.
• Create and follow a structured practice timetable for Maths.
• Concentrate on NCERT textbooks for 10th Mathematics to learn fundamental concepts.
• Regularly revise the previous exercises to be confident in learning.

How to make Class 10 Maths Learning Easy?

The CBSE is all set to provide the best combination of easy and difficult question to test all type of the students. Class 10th Maths paper is also good to score better but little bit difficult to score maximum. So, CBSE Class 10 Maths Exam is neither too easy nor to tough. Follow the points given here to make your Maths learning easy in Class 10:

• Understand Fundamentals : Understand the basic concepts and go through the examples given before each exercise and then move to solve Exercises.
• Daily Practice : Regular Practice makes class 10 Maths more comfortable and enhance familiarity with mathematical topics and skill.
• Practice with Graphs : Use graphs papers, in chapter 3, to get solutions, draw diagrams in chapter 6, 7 and other chapters like areas related to circle and surface areas and volumes.
• Ask Questions : Always clarify doubts with teachers to avoid confusion. Students can ask question through Discussion Forum to get answers by subject experts.
• Group Discussion : Group study or group discussion is one of the best method to explore the concepts behind Maths topics. Group study provides a better way to revised and learn many new tricks to solve the same questions.

Which Textbook is good for Class 10 Maths Boards Examination?

NCERT is the best study material among all reference books which help students to get 90+ marks in board exam comfortably. If students have completed the NCERT textbook, must see the questions of NCERT Exemplar books also. Later on go through some practice papers and practice some extra books. The following five best possible options are given here:

• NCERT Mathematics Textbook : NCERT books are designed to align directly with the CBSE curriculum, making them an essential study resource. This book provides a strong foundation in concepts, which is helpful for higher education.
• R.D. Sharma Mathematics for Class 10 : It is Known for its extensive and exhaustive coverage of topics. It Includes a wide range of problems, from basic to challenging, helping students prepare for all types of exam questions.
• R.S. Aggarwal Mathematics for Class 10 : It Focuses on enhancing conceptual understanding which is crucial for tackling application-based questions. It Offers graded exercises that help reinforce learning.
• Full Marks Mathematics for Class 10 : It Contains sample papers and previous year questions which are great for exam preparation. It provides explanations that are easy to understand, making complex topics more accessible.
• Oswaal Sample Question Papers for Class 10 Maths : It Includes sample papers designed according to the latest examination patterns. It has self-assessment tools to help students evaluate their preparation level.

How to solve the toughest Chapters In Class 10 Maths?

Most of the chapters in NCERT Textbook 2024-25 are easy to solve for even an average student. Few chapters are there which is considered as difficult one by a fraction of students only. The students found difficulty in some chapters in Class 10 Maths syllabus such as: 

• Chapter 6: Triangles
• Chapter 8: Trigonometry
• Chapter 9: Application of trigonometry
• Chapter 10: Circle
• Chapter 12: Surface area and volume

Doing practice well these above chapters then you can feel easier than before. Make sure you revised these difficult topics about 3-4 times before the exam. 

Are the standard of CBSE 10th Maths Papers little bit higher than the usual school papers?

The question papers in CBSE Board exams are design in such a way, it is good for all type of students. The pattern of 10th Standard Board Examination is very simple to do and very easy to understand. But most of the people may misguide you a fear unnecessarily and do practice all the syllabus thoroughly, and you definitely score optimum marks in Class 10 Board Exam. Qualities of Class 10 Maths Standard Question Paper:

• CBSE papers are designed to test students on the entire syllabus. They include a variety of problem types, from basic to higher-order thinking questions .
• The CBSE often emphasizes application-based and conceptual questions , which require a deeper understanding of mathematical concepts and their real-world applications.
• The marking schemes in CBSE exams are strict and detailed, with specific steps needing to be followed to score full marks. If schools be lenient in their marking, then it will lead to students finding CBSE papers tougher.

Class 10: Science »

Mayank Tiwari

I have completed my B. Tech. in Computer Science and Engineering. Since, then I am working for Tiwari Academy as quality manager in content formation. I am currently Pursuing M. Tech. in Computer Science and Engineering with Specialization in Artificial Intelligence in Delhi.

Copyright 2024 by Tiwari Academy | A step towards Free Education

Class 10 Holiday Homework | Summer Vacation Holiday Homework

Class 10 Holiday Homework – English, Hindi, Maths, Science, Social Science, SST, Social Studies, Physics, Chemistry, Biology, Economics, History, Civics, Geography, Art & Craft, Computer Science| Class 10 Summer Vacation Holiday Homework

Class 10 Holiday Homework  2024 – 2025

Download pdf class 10 holiday homework 2024 – 2025 | summer vacation holiday homework.

Holiday Homework for Summer Vacation Class 10 2023 – 2024

Summer vacation holiday homework for class 10 2022-2023.

Summer Vacation Holiday Homework for Class 10 2020-2021

Download Summer Vacation Holiday Homework for Class 10 in PDF

• CBSE Syllabus
•   एनसीईआरटी बुक in Hindi Medium  
• NCERT Books  
• NCERT Solutions
• CBSE Sample Papers
• Date Sheet for Retest of Failed, Absent Class 9, 11 Students – CBSE
• Retest for all Failed, Absent Class 9, 11 Students – CBSE
• List of NCERT Text Books Classes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 with Cost Price
• Change in CBSE Syllabus , New Syllabus for Class 9, 10, 11, 12- CBSE

1 thought on “Class 10 Holiday Homework | Summer Vacation Holiday Homework”

Sir Pliz…. Give solutions of Summer Holidays Homework of Class= X Subject – Maths

Leave a Comment Cancel Reply

Your email address will not be published. Required fields are marked *

• Introduction
• Vision & Mission
• Founder Chairman's Vision
• Chairman's Message
• Principal's Message
• Infrastructure
• Pre Primary
• Middle & Senior
• Primary Wing
• Middle & Senior Wing
• Question Bank
• Pre-Primary
• Parents Connect
• National / International
• Sports Achievements
• Inter School / Zonal
• Student's Achievements
• Teachers' Workshop/ Seminar
• Students' Workshop/Seminar
• Publications
• Image Gallery
• Media Corner
• Transfer Certificates
• Student Portal
• Our Commitment
• Previous Question Paper

Holiday Homework

Holiday homework for pre-primary classes, holiday homework for primary classes, holiday homework for middle & senior classes.

Copyright © Apeejay Education 2024

Assignment/ Holiday Homework

Assignment schedule primary wing (2022-23).

ASSIGNMENT:

April to May 2018-19

Class - VI -  Download PDF

Class - VII -   Download PDF

Class - VIII -  Download PDF

Class - IX -  Download PDF     BIOLOGY

Class - X -  Download PDF

Handout on "Management of Natural Resources" (Class X) -   Download Pdf

Class X Post Term Examination Papers - Mathematics, Science & FMM -  View Question Papers

Class X Mid Term Examination Papers - Mathematics, Science & FMM -  View Question Papers

Class X Pre Term Examination Papers - Mathematics, Science & FMM -  View Question Papers

Sagarika – Annual Journal of School Events, Noida