Class 11 Maths: Relations & Functions Basics

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 11 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at easy level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

This helpful practice worksheet is designed for Class 11 Mathematics students, offering a straightforward yet comprehensive review of the foundational concepts of Relations and Functions. Understanding relations and functions is absolutely crucial in Class 11, as these topics form the bedrock for much of higher mathematics, including calculus and advanced algebra. This worksheet helps students solidify their grasp on key ideas such as what constitutes a relation, how to identify different types of relations, and the essential characteristics of a function, including its domain and range. Aligned with the CBSE curriculum and NCERT guidelines, this practice material is perfect for students looking to reinforce their basic understanding, teachers seeking an easy assessment tool, or parents who want to support their child's learning journey by providing extra practice in a core mathematical area. It's particularly useful for those who need to build a strong conceptual base before moving on to more complex applications.

What your child will learn

• Identify and define different types of relations between two sets.
• Determine the domain and range for given relations and functions.
• Distinguish between a relation and a function.
• Practice basic problems involving relations and their properties.
• Apply the concept of functions to simple algebraic expressions.

Understanding the concept

In mathematics, a 'relation' is essentially a connection or correspondence between elements of two sets. Imagine you have two groups of items, say 'Students' and 'Subjects'. A relation could be 'studies', so 'Student A studies Maths'. This links elements from one set to elements in another. More formally, a relation between two non-empty sets A and B is a subset of their Cartesian product A × B. This means it's a collection of ordered pairs (a, b) where 'a' is from set A and 'b' is from set B. Now, a 'function' is a very special type of relation. What makes it special? For every element in the first set (called the 'domain'), there is exactly one corresponding element in the second set (called the 'codomain'). Think of it like a machine: you put an input in, and you always get one specific output. You won't put the same input in and get two different outputs. For example, if we have a function f(x) = x + 2, and you input 3, the output is always 5. You won't get 7 for the same input. The 'domain' of a function or relation is the set of all possible input values, while the 'range' is the set of all actual output values. Understanding these fundamental building blocks is key to mastering more advanced mathematical topics later on.

Tips for parents & teachers

• Encourage your child to first review their textbook notes on relations and functions before attempting the worksheet.
• Work through the first few problems together to ensure your child understands the format and expectations.
• Prompt your child to explain their reasoning for each answer aloud, focusing on the definitions of domain, range, and function.
• Use real-life examples to illustrate relations and functions, like 'a person's height' (function) vs. 'a person's hobbies' (relation).
• Review any incorrect answers with your child, explaining where they went wrong and how to approach similar problems correctly.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 11) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 11 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.