Class 12 Relations and Functions Worksheet

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 12 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 medium level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

This helpful Class 12 Relations and Functions practice worksheet is designed specifically for CBSE students, focusing on essential concepts that form the bedrock of higher mathematics. Understanding relations and functions is crucial not just for excelling in your Class 12 examinations, but also for success in competitive exams and future studies in engineering, computer science, and other scientific fields. This worksheet provides a comprehensive set of medium-difficulty problems covering various aspects of relations, different types of functions, and how they compose together. It's ideally suited for students looking to reinforce their classroom learning, track their progress, and develop a strong conceptual clarity in this vital topic. Aligned with the NCERT curriculum, this practice material ensures that students are well-prepared to tackle complex problems and deepen their understanding of mathematical relationships.

What your child will learn

• Practice identifying different types of relations (reflexive, symmetric, transitive, equivalence).
• Apply concepts of one-one (injective) and onto (surjective) functions to various problems.
• Solve problems involving composition of functions.
• Recognise bijective functions and their properties.
• Develop problem-solving skills for CBSE Class 12 mathematics questions related to relations and functions.

Understanding the concept

Relations and functions are fundamental building blocks in mathematics that help us describe how different quantities or elements are connected. Imagine you have two groups of things. A 'relation' is simply a rule or a connection that links elements from the first group to elements in the second. For instance, if the first group is 'students' and the second is 'subjects', a relation could be 'studies'. So, a student 'studies' a subject. A 'function' is a special kind of relation where each element in the first group (called the domain) is linked to exactly one element in the second group (called the codomain). Think of it like a machine: you put in an input (from the domain), and it gives you one unique output (in the codomain). For example, if you input 'x' into the function f(x) = x + 2, it will always give you 'x+2' as the output – never anything else. We also learn about different types of functions, like 'one-to-one' (where each output comes from a unique input) and 'onto' (where every possible output from the second group is actually produced by some input). 'Composition of functions' is like chaining these machines together; the output of one function becomes the input for another, creating a new function. Mastering these concepts provides a solid foundation for more advanced mathematical topics.

Tips for parents & teachers

• Encourage your child to first review their textbook concepts and examples of relations and functions before attempting the worksheet.
• Suggest that they try solving each problem independently, and then check their answers later to identify areas for improvement.
• Discuss any questions they found challenging together, breaking down the problem step-by-step to understand the logic.
• Remind them to show all their working steps clearly, as this helps in understanding the solution process and earns marks in exams.
• Use this worksheet to pinpoint specific types of relations or functions your child finds difficult and focus extra practice on those areas.

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 12) 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 12 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.