Class X Mathematics Textbook Quiz

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Questions and Answers

What is the ISBN number of the textbook for Class X mathematics?

  • 81-9999-888-7
  • 81-1234-567-8
  • 81-4567-890-1
  • 81-7450-634-9 (correct)

The first edition of the Class X mathematics textbook was published in December 2006.

True (A)

When was the textbook for Class X mathematics reprinted?

October 2007, January 2009, December 2009, November 2010, January 2012, November 2012, November 2013, November 2014, December 2015, December 2016

The Class X mathematics textbook is sold under the condition that it shall not be ________ without the publisher's consent.

<p>re-sold</p> Signup and view all the answers

Match the following actions with their descriptions:

<p>Reprinted = To publish again after the first edition ISBN = A unique identifier for books Rights Reserved = Protection against reproduction without permission Publisher Consent = Authorization required for certain actions with the book</p> Signup and view all the answers

What does the National Curriculum Framework 2005 emphasize regarding children's learning?

<p>Children's life at school must link to life outside school. (C)</p> Signup and view all the answers

The prescribed textbook should be the sole basis for children's examination.

<p>False (B)</p> Signup and view all the answers

What is one key aim of the National Curriculum Framework?

<p>To promote a child-centered system of education.</p> Signup and view all the answers

The success of educational reforms depends on the actions of _____ and _____ to encourage reflection and imaginative activities.

<p>school principals, teachers</p> Signup and view all the answers

Which of the following is NOT one of the approaches mentioned to enhance children's learning?

<p>Independently following strict guidelines (D)</p> Signup and view all the answers

Which of the following individuals is associated with Anglo Arabic Senior Secondary School, Delhi?

<p>Mohammad Qasim (B)</p> Signup and view all the answers

What problem have syllabus designers tried to address?

<p>Curricular burden</p> Signup and view all the answers

Flexibility in the daily _____ is necessary to allow for effective teaching.

<p>time-table</p> Signup and view all the answers

The content acknowledges the contributions of several individuals and departments.

<p>True (A)</p> Signup and view all the answers

What position does B.R. Handa hold?

<p>Emeritus Professor</p> Signup and view all the answers

Monika Singh is a lecturer at ______.

<p>Sri Ram College (University of Delhi)</p> Signup and view all the answers

Which publication department contributed to the development of the book?

<p>Publication Department of NCERT (B)</p> Signup and view all the answers

Match the names with their respective institutions.

<p>Sanker Misra = Demonstration Multipurpose School, Bhubaneswar Uaday Singh = Department of Mathematics, B.H.U. G. Sri Hari Babu = Jawahar Navodaya Vidyalaya, Adilabad Ashok Kumar Gupta = Jawahar Navodaya Vidyalaya, Dudhnoi</p> Signup and view all the answers

What is the Fundamental Theorem of Arithmetic?

<p>Every integer greater than 1 can be expressed uniquely as a product of prime numbers.</p> Signup and view all the answers

The subject of the first chapter is ______.

<p>Real Numbers</p> Signup and view all the answers

What was the primary focus of the National Focus Group on Teaching of Mathematics formed as part of the NCF?

<p>To promote a constructivist approach in teaching mathematics (A)</p> Signup and view all the answers

The current edition of the textbook has been reformatted due to the inclusion of inappropriate content.

<p>False (B)</p> Signup and view all the answers

What year was the final National Curriculum Framework (NCF) established?

<p>2005</p> Signup and view all the answers

The philosophy behind the mathematics syllabus encourages students to develop the ability to ______ and generalise.

<p>particularise</p> Signup and view all the answers

Match the following components of the education reform to their descriptions:

<p>National Curriculum Framework (NCF) = A comprehensive curriculum guideline established in 2005 Constructivist approach = Learning by building on prior knowledge and experiences Kothari Commission = An advisory group reviewing curriculum approaches Textbook development committee = Group responsible for creating relevant educational materials</p> Signup and view all the answers

Which of the following is NOT a reason for rationalising the contents of textbooks?

<p>Increasing the amount of content taught (B)</p> Signup and view all the answers

The emphasis in teaching mathematics is on mechanical application of formulas.

<p>False (B)</p> Signup and view all the answers

What is the primary outcome expected from the changes made to the mathematics syllabus?

<p>To make mathematics enjoyable and meaningful for learners</p> Signup and view all the answers

What is the graphical method used for in solving a pair of linear equations?

<p>Graphing the equations to determine their intersection point (B)</p> Signup and view all the answers

All quadratic equations can be solved by the method of factorization.

<p>False (B)</p> Signup and view all the answers

What is the formula for finding the nth term of an arithmetic progression?

<p>a_n = a + (n-1)d</p> Signup and view all the answers

The sum of the first n terms of an arithmetic progression can be calculated using the formula: _____

<p>S_n = n/2 * (2a + (n-1)d)</p> Signup and view all the answers

Match the following types of equations with their characteristics:

<p>Linear Equation = Equation of the form ax + by + c = 0 Quadratic Equation = Equation of the form ax^2 + bx + c = 0 Arithmetic Progression = A sequence of numbers with a common difference Distance Formula = Formula to calculate the distance between two points</p> Signup and view all the answers

Which of the following methods is NOT typically used to solve a pair of linear equations?

<p>Integral Method (C)</p> Signup and view all the answers

Similarity of triangles can be determined using the Angle-Angle (AA) criterion.

<p>True (A)</p> Signup and view all the answers

What are the trigonometric ratios for a right triangle based on the angle θ?

<p>sine = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent</p> Signup and view all the answers

Flashcards

ISBN (International Standard Book Number)

A unique identification number assigned to a book or publication.

First Edition

The first edition of a book is the original version published.

Reprint

The process of making copies of a published work.

Copyright

Copyright protects the rights of the author or creator of a work. It prevents unauthorized copying or distribution.

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Correct Price

The correct price of a published work should be printed on the page or cover. Any other indication of price is incorrect.

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What is NCERT?

The National Council of Educational Research and Training (NCERT) is the apex body for the development and promotion of education in India.

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What is the Publication Division of NCERT?

The Publication Division of NCERT is responsible for publishing textbooks and other educational materials for students and teachers.

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Where are the various offices of the Publication Division located?

The Publication Division of NCERT has offices in various locations across India, including New Delhi, Bengaluru, Ahmedabad, Kolkata, and Guwahati.

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Who are the key figures in the Publication Division of NCERT?

The Publication Division of NCERT is headed by the Head, Publication Division, Chief Editor, Chief Production Officer, and Chief Business Manager.

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What is the role of the publication team?

The publication team is responsible for managing the publications and distribution of textbooks and other learning materials.

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What type of paper does NCERT use for its publications?

The Publication Division uses 80 GSM paper with NCERT watermark to ensure the quality and authenticity of its publications.

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Who is responsible for the operations of NCERT?

The Secretary of the NCERT is responsible for overseeing the overall operations of the organization, including the Publication Division.

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What is the Publication Division of NCERT responsible for?

The Publication Division of NCERT is responsible for publishing and distributing textbooks and other educational materials for students and teachers. The team ensures quality through specific paper and watermarking.

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Linking school life with life outside school

A learning approach that emphasizes the importance of connecting classroom learning to real-life experiences.

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Discouraging rote learning

A teaching philosophy that encourages active engagement and exploration, rather than rote memorization.

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Children generating new knowledge

The process of actively engaging with information to generate new understanding and insights.

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Flexibility in daily timetable

A flexible and responsive approach to scheduling, allowing for adjustments based on learning needs.

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Methods used for teaching and evaluation

Evaluations that go beyond traditional tests and assessments, encompassing a range of methods to gauge learning progress.

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Opportunities for contemplation, discussion, and hands-on experience

A learning approach that prioritizes hands-on experiences and group discussions to promote deeper understanding.

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Inculcating creativity and initiative

A teaching approach that focuses on developing a student's ability to think critically and creatively.

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Treating children as participants in learning

Recognizing students as active participants in the learning process, not merely passive recipients of information.

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NCF

A National Curriculum Framework (NCF) is a set of guidelines for designing and implementing the school curriculum in India.

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Constructivist Approach

A constructivist approach to learning emphasizes that children already have some knowledge and understanding before joining school. The learning process should build on this existing knowledge.

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National Focus Group on Teaching of Mathematics

A National Focus Group on Teaching of Mathematics was formed to help create a more effective mathematics curriculum.

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Textbook Development Committee

The textbook development committee aims to link new content to what students have already learned and to their real-life experiences.

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Textbook Development Goals

The textbook committee emphasizes developing children's ability to reason logically, solve problems, and find patterns in mathematics.

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Avoiding Overloading

The textbook committee emphasizes avoiding overloading students with too much information.

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Fundamental Theorem of Arithmetic

A mathematical theorem stating that any whole number greater than 1 can be uniquely expressed as a product of prime numbers.

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Irrational Numbers

Numbers that cannot be expressed as a ratio of two integers. They are often represented with a decimal expansion that goes on forever without repeating.

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Zeroes of a Polynomial

The values of the input variable(s) that make the polynomial equal to zero. They represent the points where the graph of the polynomial crosses the x-axis.

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Pair of Linear Equations

A pair of linear equations is a set of two equations where each equation represents a straight line. Finding the solution means finding the point where both lines intersect.

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Graphical Method of Solving Linear Equations

The graphical method involves plotting the lines represented by the equations. The point where the lines intersect is the solution, representing the values that satisfy both equations.

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Substitution Method for Linear Equations

The substitution method involves solving one equation for one variable and substituting that expression into the other equation. This creates an equation with only one variable, which can be solved. Then, substitute the found value back to get the other variable.

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Elimination Method for Linear Equations

The elimination method involves manipulating the equations to eliminate one variable. This is done by multiplying equations by constants to ensure one variable has opposite coefficients. Then, add the equations together, eliminating one variable. The remaining equation can be solved, and the solution can be substituted back into the original equations to find the other variable.

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Quadratic Equation

A quadratic equation is an equation where the highest power of the variable is 2.

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Solving Quadratic Equations by Factorization

The solution of a quadratic equation by factorization involves rewriting the equation as a product of two linear factors. Setting each factor to zero results in two solutions, also known as roots.

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Nature of Roots of a Quadratic Equation

The nature of roots of a quadratic equation refers to the type of solutions it has. A quadratic equation can have two distinct real roots, a double root, or no real roots. This depends on the discriminant.

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Arithmetic Progression (AP)

An arithmetic progression (AP) is a sequence of numbers where the difference between any two consecutive terms is constant. This constant difference is called the common difference.

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Study Notes

Textbook Information

  • Textbook title: MATHEMATICS
  • Textbook class: X
  • ISBN: 81-7450-634-9
  • Publication year: 2024-25
  • Publisher: NATIONAL COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING (NCERT)

Edition History

  • First Edition: December 2006 (Pausa 1928)
  • Multiple reprints: October 2007, January 2009, December 2009, November 2010, January 2012, November 2012, November 2013, November 2014, December 2015, December 2016, December 2017, January 2019, August 2019, January 2021, November 2021
  • Revised Edition: October 2022 (Ashwina 1944)
  • Reprinted: March 2024 (Chaitra 1946)
  • PD 700T SU

Publication Details

  • Offices: Various locations in India (New Delhi, Bengaluru, Ahmedabad, Kolkata, Guwahati) including phone numbers

Publication Team

  • Head, Publication Division
  • Chief Editor
  • Chief Production Officer
  • Chief Business Manager
  • Assistant Production Officer
  • Illustrators: Joel Gill and Arvinder Chawla
  • Cover: Arvinder Chawla

Preface

  • National Curriculum Framework 2005: linking school life to outside life, discouraging rote learning, encouraging child-centric education
  • Importance of experiential learning
  • Treating textbooks as a resource
  • Flexibility in daily timetable
  • Methods of teaching and evaluation
  • Importance of child psychology
  • Opportunities for contemplation, discussion, and hands-on activities
  • Guidelines for textbook creation: connecting to prior knowledge, clear language, using examples/exercises from children's experiences, encouraging diverse solutions

Rationalisation of Content

  • Reducing content load in view of COVID-19 pandemic
  • Emphasis on experiential learning and creative mindset (per National Education Policy 2020)
  • Content rationalisation based on: overlapping content, difficulty levels, irrelevant content, similar content in other classes or subjects

Contents (Partial List)

  • Real Numbers
  • Polynomials
  • Linear Equations in Two Variables
  • Quadratic Equations
  • Arithmetic Progressions
  • Triangles
  • Coordinate Geometry
  • Introduction to Trigonometry
  • Circles
  • Surface Areas and Volumes
  • Statistics
  • Probability
  • Appendices: Proofs in Mathematics, Mathematical Modeling

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