CBSE Class 11 Relations and Functions Question Worksheet: Complete Concept Breakdown and Practice Guide

This mathematics worksheet on Relations and Functions, prepared for Class 11 CBSE students, is mainly aimed at strengthening fundamentals for school exams and future competitive preparation. It contains 75 multiple-choice questions, covering relations, functions, domain and range, inverse relations, and properties such as reflexive, symmetric, and transitive relations. The questions are framed directly from NCERT-based concepts and focus on logical reasoning rather than lengthy calculations. Overall, the worksheet reflects the type of concept-driven questions students regularly face in board examinations.

I am writing about this worksheet because Relations and Functions is often the chapter where students feel confident initially but end up losing marks due to small conceptual errors. Confusion between relations and functions, incorrect domain restrictions, or misunderstanding range values are very common. A well-structured worksheet like this helps students translate NCERT theory into exam-ready understanding. By carefully analysing the questions, one can clearly see which concepts are tested repeatedly and how simple definitions are converted into scoring MCQs Relations and Functions.

Structure of the Relations and Functions Worksheet

The worksheet consists of 75 MCQs, with each question carrying one mark. The questions are arranged in a way that starts with basic ideas and gradually moves towards more applied concepts. While many questions appear direct, the options are closely framed, which tests clarity of thought and careful reading rather than guesswork.

The overall difficulty level ranges from easy to moderate, making the worksheet suitable for both first-time practice and revision before exams.

Relations and Their Properties

Several questions in the worksheet focus on relations and their mathematical properties. Students are tested on identifying whether a relation is:

Reflexive
Symmetric
Transitive
An equivalence relation

Some questions use practical and geometric contexts, such as relations defined on sets of numbers, straight lines, or triangles. These questions check whether students truly understand the meaning of each property instead of memorising definitions Relations and Functions WS 1.

Cartesian Products and Set-Based Relations

The worksheet includes multiple questions based on Cartesian products of sets. Students are asked to:

Identify valid ordered pairs
Determine domains and ranges of relations
Count the number of possible relations between two finite sets

These questions reinforce the idea that a relation is always a subset of a Cartesian product, which is a core concept in this chapter.

Functions and Their Classification

A major portion of the worksheet is dedicated to functions. Questions test whether a given relation qualifies as a function and whether it is:

One-one
Onto
Both one-one and onto
Neither one-one nor onto

There are also questions on counting the total number of functions between two finite sets, a topic that frequently appears in CBSE examinations.

Download this Relations and Functions Question PDF File: Click Here

Domain and Range-Based Questions

Domain and range form one of the most heavily tested areas in this worksheet. Questions involve functions containing:

Square roots
Logarithmic expressions
Rational functions
Modulus functions
Trigonometric and inverse trigonometric functions

Students must correctly apply restrictions such as non-negative values under square roots, positive arguments for logarithms, and valid input ranges for inverse trigonometric functions. These questions clearly highlight common error areas faced by students in exams.

Modulus and Greatest Integer Functions

Several questions are based on modulus and greatest integer functions. These problems require interval-wise thinking and careful evaluation of expressions. Instead of direct substitution, students must analyse how the function behaves over different ranges, which helps in developing logical reasoning skills.

Composite and Inverse Functions

The worksheet also includes questions on composite functions and inverse relations. These questions test whether students can apply function rules correctly rather than just recall formulas. Such problems are important because they form the base for advanced topics in calculus studied later.

Trigonometric and Logarithmic Applications

Some MCQs combine trigonometric expressions with logarithmic functions. These questions are slightly tricky and demand step-by-step reasoning. They test conceptual clarity and attention to detail, making them useful not just for board exams but also for future competitive preparation.

What Students Can Learn from This Worksheet

From analysing this worksheet, a few important points become clear:

NCERT definitions and examples are the foundation of most questions
Domain and range mistakes are a major scoring risk
Properties of relations must be clearly understood, not memorised
Options are closely framed, so careless reading leads to errors
Regular practice improves both speed and confidence

Overall, this Relations and Functions worksheet is a strong practice resource for Class 11 students. It closely reflects CBSE exam expectations and helps students build a solid conceptual base that will be essential for higher-level mathematics in Class 12.

Class 11 Relations and Functions Answer Worksheet: Concept Coverage, Question Pattern and Study Value

This mathematics worksheet on Relations and Functions, prepared for Class 11 CBSE students, is mainly meant for board exam preparation and for building strong fundamentals for higher mathematics. It contains 75 multiple-choice questions, covering relations, types of relations, functions, domain and range, inverse relations, and application-based problems involving logarithmic, trigonometric, and modulus functions. The questions are framed directly from NCERT concepts and closely reflect the style of questions asked in school examinations Relations and Functions WS 1.

I am writing about this worksheet because Relations and Functions is often the chapter where students feel they understand everything, but still lose marks due to small conceptual mistakes. Confusion between relations and functions, errors in domain and range, and misinterpretation of properties like symmetry or transitivity are very common. A worksheet like this helps students convert NCERT theory into exam-oriented thinking. By analysing the questions carefully, one can clearly see which concepts are repeatedly tested and how definitions are turned into scoring MCQs.

Structure of the Relations and Functions Worksheet

The worksheet consists of 75 MCQs, with each question carrying one mark. The questions are arranged in a progressive manner, starting from basic definitions and moving towards application-based and reasoning-oriented problems. While many questions look direct, the answer options are closely framed, which tests accuracy and conceptual clarity rather than guesswork.

The overall difficulty level ranges from moderate to slightly challenging, making it suitable for both revision and self-assessment.

Relations and Their Mathematical Properties

A significant number of questions focus on relations and their properties. Students are tested on identifying whether a relation is:

Reflexive
Symmetric
Transitive
An equivalence relation

Examples involving sets of numbers, geometric objects, and real-life-style relations are used to check whether students truly understand these properties instead of memorising definitions Relations and Functions WS 1.

Cartesian Products and Set-Based Relations

The worksheet includes several questions based on Cartesian products. These questions test whether students can:

Identify valid ordered pairs
Determine the domain and range of a relation
Count the number of possible relations between two finite sets

Such questions reinforce the idea that every relation is a subset of a Cartesian product, which is a core concept in this chapter.

Functions and Their Classification

Functions form the backbone of this worksheet. Many questions require students to decide whether a given relation is a function and further classify it as:

One-one
Onto
Both one-one and onto
Neither one-one nor onto

There are also numerical questions asking for the total number of functions possible between two sets, which are frequently asked in CBSE exams.

Download this Relations and Functions Answer PDF File: Click Here

Domain and Range-Based Questions

Domain and range are among the most heavily tested topics in this worksheet. Questions involve functions containing:

Logarithmic expressions
Square roots
Rational functions
Modulus functions
Trigonometric and inverse trigonometric functions

Students must carefully apply conditions like non-zero denominators, positive arguments for logarithms, and valid ranges for inverse trigonometric functions. These questions highlight common error areas where students tend to lose easy marks.

Modulus and Greatest Integer Function Applications

Several MCQs are based on modulus and greatest integer functions. These problems require interval-wise analysis and careful logical thinking rather than direct substitution. Such questions are important because they strengthen analytical skills needed for later chapters in calculus.

Composite and Inverse Functions

The worksheet also includes questions on composite functions and inverse relations. These questions test whether students understand function operations clearly and can apply them step by step. This area is particularly important for students aiming to build a solid foundation for Class 12 mathematics.

Trigonometric and Logarithmic Reasoning Questions

Some questions combine trigonometric identities with logarithmic expressions. These are slightly tricky and demand proper step-by-step reasoning. They test attention to detail and conceptual clarity, making them useful for higher-level problem-solving.

What Students Can Learn from This Worksheet

From analysing this worksheet, a few clear points emerge:

NCERT concepts form the base of most questions
Domain and range need careful handling
Properties of relations must be logically understood
Options are closely framed, so careless reading leads to mistakes
Regular practice improves confidence and speed

Overall, this Relations and Functions worksheet is a strong practice resource for Class 11 students. It closely matches CBSE exam expectations and helps build a solid conceptual foundation that will be crucial for advanced topics in mathematics.