My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Calculus - Mathematics Previous Year Questions

Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

45Papers
38Years
111Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 63 53.8%
Hard 42 35.9%
Not classified 7 6%
Easy 5 4.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Subjective 69 59%
Multiple Choices 24 20.5%
Numerical Answer Type (NAT) 14 12%
Fill in the blanks 10 8.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
111 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
111 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Application Of Derivatives
24 Qs
Definite Integration
24 Qs
Application Of Integration
22 Qs
Indefinite Integrals
14 Qs
Limits Continuity And Differentiability
9 Qs
Differential Equations
10 Qs
Differentiation
6 Qs
Functions
2 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

JEE Advanced 2026 Paper 2 Online
8 Qs
JEE Advanced 2026 Paper 1 Online
3 Qs
JEE Advanced 2026 Paper 1 Online
3 Qs
JEE Advanced 2026 Paper 1 Online
3 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
2 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2018 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
4 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
1 Qs
IIT JEE 2009 PAPER 1 OFFLINE
1 Qs
IIT JEE 2009 PAPER 2 OFFLINE
1 Qs
IIT JEE 2007 PAPER 1 OFFLINE
2 Qs
IIT JEE 2007 PAPER 2 OFFLINE
1 Qs
IIT JEE 2006
1 Qs
IIT JEE 2005
5 Qs
IIT JEE 2005 MAINS
3 Qs
IIT JEE 2004
2 Qs
IIT JEE 2003
1 Qs
IIT JEE 2002
2 Qs
IIT JEE 2002 SCREENING
1 Qs
IIT JEE 2001
3 Qs
IIT JEE 1999
3 Qs
IIT JEE 1998
1 Qs
IIT JEE 1997
1 Qs
IIT JEE 1996
6 Qs
IIT JEE 1995
3 Qs
IIT JEE 1994
6 Qs
IIT JEE 1993
3 Qs
IIT JEE 1992
4 Qs
IIT JEE 1991
3 Qs
IIT JEE 1990
3 Qs
IIT JEE 1989
2 Qs
IIT JEE 1988
4 Qs
IIT JEE 1987
3 Qs
IIT JEE 1986
1 Qs
IIT JEE 1985
5 Qs
IIT JEE 1984
3 Qs
IIT JEE 1983
5 Qs
IIT JEE 1982
2 Qs
IIT JEE 1981
3 Qs
IIT JEE 1980
1 Qs
IIT JEE 1979
2 Qs
IIT JEE 1978
2 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Application Of Integration

Explore previous-paper coverage, trends and focused practice for Application Of Integration.

65 questions47 papers39 years

Differentiation

Explore previous-paper coverage, trends and focused practice for Differentiation.

36 questions31 papers28 years

Indefinite Integrals

Explore previous-paper coverage, trends and focused practice for Indefinite Integrals.

21 questions21 papers21 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
JEE Advanced 2026 Paper 1 Online20263View paper
JEE Advanced 2026 Paper 1 Online20263View paper
JEE Advanced 2026 Paper 1 Online20263View paper
JEE Advanced 2026 Paper 2 Online20268View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20241View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20222View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20201View paper
JEE ADVANCED 2018 PAPER 2 OFFLINE20181View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20174View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE20151View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20141View paper
IIT JEE 2009 PAPER 1 OFFLINE20091View paper
IIT JEE 2009 PAPER 2 OFFLINE20091View paper
IIT JEE 2007 PAPER 1 OFFLINE20072View paper
IIT JEE 2007 PAPER 2 OFFLINE20071View paper
IIT JEE 200620061View paper
IIT JEE 200520055View paper
IIT JEE 2005 MAINS20053View paper
IIT JEE 200420042View paper
IIT JEE 200320031View paper
IIT JEE 200220022View paper
IIT JEE 2002 SCREENING20021View paper
IIT JEE 200120013View paper
IIT JEE 199919993View paper
IIT JEE 199819981View paper
IIT JEE 199719971View paper
IIT JEE 199619966View paper
IIT JEE 199519953View paper
IIT JEE 199419946View paper
IIT JEE 199319933View paper
IIT JEE 199219924View paper
IIT JEE 199119913View paper
IIT JEE 199019903View paper
IIT JEE 198919892View paper
IIT JEE 198819884View paper
IIT JEE 198719873View paper
IIT JEE 198619861View paper
IIT JEE 198519855View paper
IIT JEE 198419843View paper
IIT JEE 198319835View paper
IIT JEE 198219822View paper
IIT JEE 198119813View paper
IIT JEE 198019801View paper
IIT JEE 197919792View paper
IIT JEE 197819782View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
1978 · Mathematics · Calculus · Differentiation
IIT JEE 1978
Find the derivative of \(\sin \left( {{x^2} + 1} \right)\) with respect to \(x\) first principle.
Write your response
Open complete paper
2
1979 · Mathematics · Calculus · Differentiation
IIT JEE 1979
Find the derivative of \(f\left( x \right) = \left\{ {\matrix{ \[{{{x - 1} \over {2{x^2} - 7x + 5}}} & {when\,\,x \ne 1} \cr\] \[{ - {1 \over 3}} & {when\,\,x = 1} \cr\] } } \right.\)
at \(x=1\)
Write your response
Open complete paper
3
1980 · Mathematics · Calculus · Differentiation
IIT JEE 1980
Given \(y = {{5x} \over {3\sqrt {{{\left( {1 - x} \right)}^2}} }} + {\cos ^2}\left( {2x + 1} \right)\); Find \({{dy} \over {dx}}\).
Write your response
Open complete paper
4
1981 · Mathematics · Calculus · Differentiation
IIT JEE 1981
Let \(y = {e^{x\,\sin \,{x^3}}} + {\left( {\tan x} \right)^x}\). Find \({{dy} \over {dx}}\)
Write your response
Open complete paper
5
1982 · Mathematics · Calculus · Differentiation
IIT JEE 1982
If \(y = f\left( {{{2x - 1} \over {{x^2} + 1}}} \right)\) and \(f'\left( x \right) = \sin {x^2}\), then \({{dy} \over {dx}} = ..........\)
Write your response
Open complete paper
6
1983 · Mathematics · Calculus · Application Of Derivatives
IIT JEE 1983
The function \(y = 2{x^2} - In\,\left| x \right|\) is monotonically increasing for values of \(x\left( {x \ne 0} \right)\) satisfying the inequalities ......... and monotonically decreasing for values of \(x\) satisfying the inequalities ............
Write your response
Open complete paper