Relations and Functions Practice Test
20 questions. No registration required.
Practice PSEB Class 12 Mathematics Relations and Functions with a free 10-question MCQ test. Review reflexive, symmetric, transitive and equivalence relations, one-to-one and onto functions, composition of functions, and invertible functions. Check your result instantly, read detailed explanations, and repeat the test as many times as needed. No registration is required.
20 questions. No registration required.
Relations and Functions is an important part of Class 12 Mathematics. This practice test is designed to help students review the basic properties of relations and the main types of functions through short multiple-choice questions. The test contains 20 questions with four answer options, instant result checking, and explanations that can be used for independent revision.
The topic requires more than memorizing definitions. Students should be able to examine a relation and decide whether it is reflexive, symmetric, or transitive. They should also understand when a relation is an equivalence relation and how the properties of a function affect whether it is one-to-one, onto, or invertible.
Use this test as a quick revision activity before broader Mathematics practice. After completing all questions, review every explanation carefully, especially when an answer was selected by guessing. Repeat the test after revising weak concepts.
Focus on definitions, mathematical properties, and the differences between common types of relations and functions.
Review reflexive, symmetric, and transitive relations. Practice checking each property separately and deciding whether a relation satisfies the conditions required for an equivalence relation.
Practice identifying one-to-one functions and onto functions. Review how inputs are connected with outputs and how the domain, codomain, and range can affect the classification of a function.
Review composition of functions, the order of composition, and invertible functions. Practice determining when an inverse exists and how function properties are connected with invertibility.
Before repeating the test, make sure you can explain the meaning of each important term without relying only on a memorized example. A strong understanding of definitions makes it easier to solve questions where a relation or function is presented in an unfamiliar form.
Relations and Functions questions often look simple, but a small mistake in a definition can lead to the wrong answer. When reviewing your result, check whether you made one of these common errors:
Turn a short MCQ test into a focused Class 12 Mathematics revision session.
Try to answer every question before checking notes or other learning materials.
Read the explanation even after a correct answer when you were uncertain or used guessing.
Return to the definitions of relation properties or function types that caused mistakes.
Attempts are unlimited, so repeat the practice after revision and compare your understanding.
Common questions about this PSEB Class 12 Mathematics practice test.