Samacheer Kalvi 10th Maths Guide Book Answers solutions
Do you have any problems regarding your math course? Congrats, you have come to the right place. This 10th Maths Guide is an important resource for the students of Tamil Nadu State Board. Expert maths teachers have tried their best to develop this 10th standard maths guide solution according to the Samacheer Kalvi syllabus. This maths guide is designed to help students overcome difficult concepts and perform well in their board exams.
We have explained the step-by-step solution of every question. Moreover, this guide will help students in mastering the syllabus efficiently. This guide is divided into chapters according to the 10th class maths books, which explains key concepts. We have tried our best to solve complex problems through easy methods.
Availability of 10th standard maths guide in English and Tamil medium
This 10th standard Maths Guide is available in both English and Tamil mediums. Students with Tamil medium backgrounds can take benefit from these solutions in their native language, while English medium students will receive the same quality content in English.
In short, this 10th standard maths guide is a complete solution that helps Tamil Nadu State Board students mastering mathematics. We have focused to delievered the knowledge and skills to students that are needed to score good marks in exams. By practicing and understanding all these basic concepts of maths, students will achieve excellent marks in their board exams.
10th Maths Guide in English medium for the students of Tamil Nadu State Board
Here is the English medium version of Tamil Nadu State Board 10th standard maths guide. By clicking on the exercise number, the user will be redirected to that very exercise page.
Chapter 1 Relations and Functions
Chapter 1 “Relations and functions” in the 10th maths guide introduces students to the concept of functions, including one-to-one, onto, and bijective functions. Important formulas and key points are described for quick revision. The exercises and the solutions are designed to strengthen the problem-solving skills of students. This chapter builds a strong foundation for higher-level mathematics involving functions and relations.
- Exe 1 . 1
- Exe 1 . 2
- Exe 1 . 3
- Exe 1 . 4
- Exe 1 . 5
- Exe 1 . 6
- Unit Exercise
- Related Questions
Chapter 2 Numbers and Sequences
Numbers and sequence in the 10th standard maths guide introduces students to various types of numbers and the concept of sequences and series. It explains arithmetic and geometric progressions, formulas, and step-by-step solution of questions. The chapter includes general terms, the sum of terms, and applications of sequences in real-life situations.
Sequences like triangular numbers, square numbers, and Fibonacci sequence are also discussed. This chapter helps students master advanced studies in algebra and progression-related problems. It develops logical thinking and analytical skills in students.
- Exe 2. 1
- Exe 2. 2
- Exe 2. 3
- Exe 2. 4
- Exe 2. 5
- Exe 2. 6
- Exe 2. 7
- Exe 2. 8
- Exe 2. 9
- Exe 2. 10
- Unit Exercise 2
- Related Questions
Unit 3 Algebra
The 10th Maths Guide for Tamil Nadu State Board students includes algebra as its 3rd chapter. This chapter focuses on important algebraic concepts and their applications. It covers polynomials, quadratic equations, and their factorization methods. The chapter explains identities and the methods to solve simultaneous linear equations effectively. Concepts like arithmetic and geometric progression are also included. This chapter is very important for students and acts as a backbone for higher mathematical studies involving equations and algebraic expressions.
- Exercise 3 .1
- Exercise 3 .2
- Exercise 3 .3
- Exercise 3 .4
- Exercise 3 .5
- Exercise 3 .6
- Exercise 3 .7
- Exercise 3 .8
- Exercise 3 .9
- Exercise 3 .10
- Exercise 3 .11
- Exercise 3 .12
- Exercise 3 .13
- Exercise 3 .14
- Exercise 3 .15
- Exercise 3 .16
- Exercise 3 .17
- Exercise 3 .18
- Exercise 3 .19
- Unit Exercise 3
- Related Questions
Chapter 4 Geometry
Geometry is the 4th chapter in the 10th maths guide. This chapter provides a detailed study of geometric principles and their applications. It covers theorems related to circles, tangents, and constructions with simple and easy explanations. Important concepts such as similarity of triangles, Pythagoras theorem, and coordinate geometry are explained with proofs and examples.
- Exercise : 4.1
- Exercise : 4.2
- Exercise : 4.3
- Exercise : 4.4
- Exercise : 4.5
- Unit Exercise 4
- Related Questions
Unit 5: Coordinate Geometry
Chapter 5 is about Coordinate Geometry in the 10th standard maths guide. This chapter introduces students to the geometric representation of algebraic equations. It explains the distance formula, section formula, and the midpoint formula with step-by-step derivations. The concept of the slope of a line and equations of a straight line in various forms are covered in detail.
- Exe : 5.1
- Exe : 5.2
- Exe : 5.3
- Exe : 5.4
- Exe : 5.5
- Unit Exercise 5
- Related Questions
Unit 6 Trigonometry
Trigonometry is the 6th chapter in 10th Maths Guide for Tamil Nadu State Board students. This chapter focuses on the relationships between angles and sides of a right-angled triangle. It covers trigonometric ratios such as sine and tangent with their reciprocal functions. This chapter covers important identities, values of standard angles, and the application of trigonometric ratios.
- Exercise : 6. 1
- Exercise : 6 .2
- Exercise : 6. 3
- Exercise : 6. 4
- Exercise : 6. 5
- Unit Exercise 6
- Related Questions
Chapter 7 : Mensuration
Chapter 7 is about Mensuration. This chapter covers topics like measurement of geometric shapes and solids. Importants formulas for finding the volume and surface areas of solids like cubes, cuboids, spheres, cylinders, and cones are also explained. The chapter also covers the frustum of a cone and its real-life applications. This chapter enhances students’ ability to solve practical problems involving three-dimensional figures.
- Exer : 7.1
- Exer : 7.2
- Exer : 7.3
- Exer : 7.4
- Exer : 7.5
- Unit Exercise 7
- Related Questions
Chapter 8 Statistics and Probability
Chapter 8 is an overview of Statistics, probability, data interpretation, and chance-based predictions in the 10th maths guide. It explains the collection, classification, and representation of data using bar graphs, histograms, and polygons. Measuresment of mean, median, and mode, are covered with clear examples. This chapter helps students develop a strong foundation for data analysis and decision-making based on probabilities.
- Exercise 8 .1
- Exercise 8 .2
- Exercise 8 .3
- Exercise 8 .4
- Exercise 8 .5
- Unit Exercise 8
- Related Queries
10th standard Maths Guide for Tamil Nadu State Board students in Tamil Medium
We have created this guide in the Tamil medium for those students who are using Tamil language as their medium of study. Students can access the 10th standard maths guide below.
Chapter 1: உறவுகளும்சார்புகளும்
10ஆம் வகுப்பு கணிதக் கையேட்டில் “தொடர்கள் மற்றும் செயல்பாடுகள்” என்ற தலைப்புடைய முதல் அதிகாரம், தொடர்கள் மற்றும் செயல்பாடுகளின் அடிப்படை கருத்துகளை விரிவாக விளக்குகிறது. இந்த அதிகாரம், தொடர்களை ஆர்டர் செய்யப்பட்ட ஜோடிகள் (Ordered Pairs), அம்பு வரைப்படங்கள் (Arrow Diagrams), மற்றும் கார்டீசியன் பொதுக்கள் (Cartesian Products) மூலம் எப்படி பிரதிநிதித்துவப்படுத்துவது என்பதை விவரிக்கிறது.
- Exercise : 1.1
- Exercise : 1.2
- Exercise : 1.3
- Exercise : 1.4
- Exercise : 1.5
- Exercise : 1.6
- Unit Exercise 1
Chapter 2: எண்களும்தொடர்வரிசைகளும்,10th Std Maths Guide
இந்த அதிகாரம் மாணவர்களுக்கு விதவிதமான எண்கள், வரிசைகள் மற்றும் தொடர்கள் என்ற கருத்துக்களை அறிமுகப்படுத்துகிறது. இது அளவியியல் முன்னேற்றம் (Arithmetic Progression – AP) மற்றும் பொறியியல் முன்னேற்றம் (Geometric Progression – GP) பற்றிய விளக்கங்களுடன், தொடர்புடைய பிரச்சனைகளை தீர்க்கும் சூத்திரங்கள் மற்றும் படிப்படியான முறைகளையும் வழங்குகிறது.
- Exercise 2 . 1
- Exercise 2 . 2
- Exercise 2 . 3
- Exercise 2 . 4
- Exercise 2 . 5
- Exercise 2 . 6
- Exercise 2 . 7
- Exercise 2 . 8
- Exercise 2 . 9
- Exercise 2 . 10
- Unit Exercise 2
Chapter 3: இயற்கணிதம்,Tenth Maths Guide
மூன்றாம் அதிகாரம் அலகுபொழியியல் பற்றியது. இது புறநெடுகியல், இரண்டாம் கட்ட சமன்பாடுகள், அடையாளங்கள், மற்றும் இனம்பொருத்த சமன்பாடுகள் தீர்ப்பது போன்ற முக்கியமான கருத்துகளைச் சுருக்கமாக விளக்குகிறது. அளவியியல் மற்றும் பொறியியல் முன்னேற்றங்களும் இதில் அடங்கியுள்ளன.
- Exercise : 3.1
- Exercise : 3.2
- Exercise : 3.3
- Exercise : 3.4
- Exercise : 3.5
- Exercise : 3.6
- Exercise : 3.7
- Exercise : 3.8
- Exercise : 3.9
- Exercise : 3.10
- Exercise : 3.11
- Exercise : 3.12
- Exercise : 3.13
- Exercise : 3.14
- Exercise : 3.15
- Exercise : 3.16
- Exercise : 3.17
- Exercise : 3.18
- Exercise : 3.19
- Exercise : 3.20
- Unit Exercise 3
10th Maths Guide Solution Chapter 4 வடிவியல்
நான்காம் அதிகாரம் வடிவவியல் (Geometry) பற்றியது. இது வட்டங்கள், ஸ்பரிசங்கள், மற்றும் வடிவமைப்புகள் தொடர்பான தியரங்கள் (Theorems) எளிதில் புரியும்படியும், முக்கோணங்கள் ஒற்றுமை, பைதகோரஸ் கோட்பாடு, மற்றும் இணைபுள்ளி வடிவவியல் ஆகிய கருத்துக்களை ஆதாரங்களுடன் (Proofs) விளக்குகிறது. இந்த அதிகாரம் மாணவர்களின் காட்சி திறன் மற்றும் தர்க்கத்திறன் மேம்பாட்டிற்கு உதவுகிறது.
- Exercise: 4.1
- Exercise: 4.2
- Exercise: 4.3
- Exercise: 4.4
- Exercise: 4.5
- Unit Exercise 4
10th maths guide tamil medium chapter 5 ஆயத்தொலைவடிவியல்
ஐந்தாம் அதிகாரம் இணைபுள்ளி வடிவவியல் பற்றியது. இது தூரம் சூத்திரம், பிரிவு சூத்திரம், நடு நிலையிட சூத்திரம் மற்றும் கோட்டின் சரிவுத்திறன் போன்ற முக்கியமான கருதுகளை விளக்குகிறது. நேர்கோட்டின் சமன்பாடுகள் மற்றும் கணிதப் பயன்பாடுகள் இங்கே விரிவாக கூறப்பட்டுள்ளது.
- Exercise: 5.1
- Exercise: 5.2
- Exercise: 5.3
- Exercise: 5.4
- Exercise: 5.5
- Unit Exercise 5
X Std Maths Guide chapter 6 முக்கோணவியல்
ஆறாம் அதிகாரம் முக்கோணமிதி பற்றியது. இது சைன், கோசைன், டேஞ்சன்ட் மற்றும் அவற்றின் மாற்றுப்பணி விகிதங்கள் பற்றி விளக்குகிறது. மேலும், அடையாளங்கள், தரமான கோணங்களின் மதிப்புகள், மற்றும் விகிதங்களின் பயன்பாடுகள் குறித்த தகவல்களையும் வழங்குகிறது.
- Exercise : 6.1
- Exercise : 6.2
- Exercise : 6.3
- Exercise : 6.4
- Exercise : 6.5
- Unit Exercise 6
10th Maths Solution chapter 7அளவியல்
ஏழாம் அதிகாரம் அளவியல் பற்றியது. இது திண்மங்களின் மேற்பரப்பு பரப்பளவு மற்றும் அளவு காணும் சூத்திரங்களை விளக்குகிறது. சுண்ணங்கோன் குறுகல் பகுதி மற்றும் அதன் வாழ்க்கை பயன்பாடுகள் பற்றியும் விளக்கப்பட்டுள்ளன.
- Exercise – 7.1
- Exercise – 7.2
- Exercise – 7.3
- Exercise – 7.4
- Exercise – 7.5
- Unit Exercise 7
10th Maths Guide Tamil medium chapter 8புள்ளியியலும்நிகழ்தகவும்
எட்டாம் அதிகாரம் புள்ளிவிவரக்கணிதம் மற்றும் நிகழ்தகவியல் பற்றியது. இது தரவு சேகரிப்பு, பிரதிநிதித்துவம் மற்றும் புள்ளிவிவர வழிகாட்டிகள் பற்றி விளக்குகிறது. மத்திய நிலை அளவுகள் மற்றும் நிகழ்தகவியல் தொடர்பான அடிப்படை கருத்துகளும் கூறப்பட்டுள்ளது.
- Exercise – 8.1
- Exercise – 8.2
- Exercise – 8.3
- Exercise – 8.4
- Exercise – 8.1
- Exercise – 8.1
Frequently Asked Questions:
Below are some frequently asked questions about the 10th-grade mathematics guide for Tamil Nadu State Board students.
What topics are covered in the 10th-grade mathematics syllabus for the Tamil Nadu State Board?
The key topics include
- Algebra (Polynomials, Quadratic Equations, Arithmetic Progression)
- Geometry (Triangles, Circles, Coordinate Geometry)
- Mensuration (Surface Area and Volume of 3D shapes)
- Trigonometry (Trigonometric Ratios and Identities)
- Statistics (Mean, Median, Mode, and Graphical Representation)
- Probability (Basic Probability concepts)
- Linear Equations in Two Variables
How should I prepare for the 10th-grade mathematics exam in the Tamil Nadu State Board?
- Study the Tamil Nadu State Board textbook thoroughly, as it is the primary source for the syllabus.
- Understand key formulas and concepts, especially in Algebra, Geometry, and Trigonometry.
- Practice problem-solving regularly from the guidebooks and previous years’ question papers. Don’t skip revisions; allocate time to revise each chapter before the exam.
How important is Trigonometry for the 10th-grade exam?
- Trigonometry is a crucial topic in the 10th-grade mathematics syllabus. It covers basic trigonometric ratios (sine, cosine, and tangent) and identities, which are essential for solving various types of problems.
- Many questions in the exam are based on applying these identities and solving real-world problems related to heights and distances.
- Focus on understanding the trigonometric ratios and practice solving related problems to ensure a strong grasp of the topic.
What are the best strategies to manage time during the mathematics exam?
Effective time management tips are
- Solve easy questions first: Begin with the questions you are most confident about to build momentum.
- Divide time wisely: Allocate time based on the marks assigned to each question.
- Don’t linger too long on a single question: If you’re stuck, move on and come back to it later.
- Review your work: If time allows, review your answers and ensure all calculations are correct.
These FAQs provide guidance to 10th-grade students preparing for the Tamil Nadu State Board mathematics exam. By following these tips and strategies, students can ensure that they approach their exams with confidence and clarity.
Conclusion
We hope that this class 10th standard maths guide will help students to achieve their goal of mastery in mathematics. Our maths subject teachers have created this guide according to the guidelines of the Tamil Nadu State Board, the new syllabus. After studying this course, still, if any user has any problem related to any topic, feel free to contact us. Your query will be solved in a short period by our expert teacher. Good luck!