Free CBSE / NCERT practice

Free Class 12 Maths Quiz: 43 MCQs with Answers

Practise Class 12 maths for school tests and exams. Answer a question and it is marked straight away, with a short explanation. No sign-up needed; log in and your score is saved to your account.

Inverse Trigonometric Functions
Matrices
Determinants
Continuity and Differentiability
Application of Derivatives
Integrals
Vector Algebra
Relations and Functions

43questions

~25 minto finish

Class 12CBSE / NCERT

Keep building maths confidence

Bring the marked paper to a mentor and work on the topics it flags, at our Adarsh Nagar centre or online. See CBSE tuition in Jaipur or maths classes.

What is in this Class 12 maths quiz

This is a free 43-question multiple-choice quiz on Class 12 maths, put together and checked by Reportcards, A Learning Centre in Jaipur. It covers the main Class 12 maths topics taught in CBSE and NCERT-based schools. You can take it without an account. Log in with a free account and your score is saved, with points and badges; otherwise it stays on the device you answer on.

The 43 questions are spread across these topics, so a weak area shows up as a pattern rather than as one unlucky question:

Inverse Trigonometric Functions · 4 questions
Matrices · 4 questions
Determinants · 4 questions
Continuity and Differentiability · 4 questions
Application of Derivatives · 4 questions
Integrals · 4 questions
Vector Algebra · 4 questions
Relations and Functions · 3 questions
Differential Equations · 3 questions
Probability · 3 questions
Application of Integrals · 2 questions
Three Dimensional Geometry · 2 questions
Linear Programming · 2 questions

How the marking works

Each question is marked the moment it is answered, and the explanation appears straight away while the question is still fresh. A test that only gives a score at the end teaches a student what they scored; a test that explains each answer teaches them why. At the end you get a marked paper listing every question that was missed, with a topic-by-topic breakdown of strengths and focus areas, so the next revision session has somewhere obvious to start.

A question from this quiz

Let f: R -> R be defined by f(x) = 3 - 4x. Which of the following statements is correct regarding f?

f is one-one but not onto
f is onto but not one-one
f is neither one-one nor onto
f is bijective (both one-one and onto)

Answer: f is bijective (both one-one and onto)

If f(x1) = f(x2), then 3 - 4x1 = 3 - 4x2 gives x1 = x2, so f is injective. For every real number y, choosing x = (3 - y)/4 gives f(x) = y, so f is surjective. Therefore, f is bijective.

How to use it at home

Sit the quiz once cold, without notes, and keep the marked paper. Revise only the topics the paper flags, then take it again a week later: the second score is the one worth talking about, because it measures what changed rather than what was already known. The marked paper is often more useful than the score itself, since it names the topic rather than saying a student is "weak in Class 12 maths".

Related on this site: the Class 11 Maths Quiz, all free quizzes, CBSE tuition.

Questions parents ask

Is this Class 12 Maths Quiz free?

Yes. It is completely free and works without an account. Log in with a free account if you want your scores saved, with points, streaks and badges; otherwise the score stays on your own device.

How long does it take?

Most students finish the 43 questions in about 25 minutes. You can stop part way and resume later on the same device, because your progress is saved in the browser.

Which class and board is it for?

It is written for Class 12 students following CBSE / NCERT, covering the main Class 12 maths topics taught in CBSE and NCERT-based schools. Any student revising the same topics can use it.

Are the answers explained?

Yes. Every question is marked as soon as it is answered and each answer carries a short explanation, and the marked paper at the end lists every question that was missed.