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.

79Papers
49Years
498Questions
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 279 55.4%
Hard 127 25.2%
Easy 62 12.3%
Not classified 36 7.1%

Question type distribution

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

MCQ 213 42.3%
Subjective 121 24%
MSQ 85 16.9%
Numerical Answer Type (NAT) 75 14.9%
Fill in the blanks 10 2%

Subject weightage

Top subjects by unique question coverage.

Mathematics
498 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
498 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Application Of Derivatives
123 Qs
Definite Integration
112 Qs
Limits Continuity And Differentiability
63 Qs
Application Of Integration
65 Qs
Differential Equations
45 Qs
Differentiation
36 Qs
Functions
33 Qs
Indefinite Integrals
21 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 2025 PAPER 1 ONLINE
6 Qs
JEE ADVANCED 2025 PAPER 2 ONLINE
6 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
9 Qs
JEE ADVANCED 2024 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2023 PAPER 1 ONLINE
5 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
5 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
7 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
3 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
9 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
8 Qs
JEE ADVANCED 2020 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2019 PAPER 2 OFFLINE
5 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
4 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
6 Qs
JEE ADVANCED 2018 PAPER 2 OFFLINE
6 Qs
JEE ADVANCED 2017 PAPER 2 OFFLINE
9 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
6 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
6 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
6 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
9 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
7 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
9 Qs
JEE ADVANCED 2014 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
4 Qs
JEE ADVANCED 2013 PAPER 2 OFFLINE
4 Qs
IIT JEE 2012 PAPER 1 OFFLINE
8 Qs
IIT JEE 2012 PAPER 2 OFFLINE
6 Qs
IIT JEE 2011 PAPER 2 OFFLINE
7 Qs
IIT JEE 2011 PAPER 1 OFFLINE
5 Qs
IIT JEE 2010 PAPER 1 OFFLINE
6 Qs
IIT JEE 2010 PAPER 2 OFFLINE
6 Qs
IIT JEE 2009 PAPER 2 OFFLINE
7 Qs
IIT JEE 2009 PAPER 1 OFFLINE
4 Qs
IIT JEE 2008 PAPER 2 OFFLINE
8 Qs
IIT JEE 2008 PAPER 1 OFFLINE
7 Qs
IIT JEE 2007 PAPER 2 OFFLINE
8 Qs
IIT JEE 2007 PAPER 1 OFFLINE
4 Qs
IIT JEE 2006
15 Qs
IIT JEE 2005 MAINS
9 Qs
IIT JEE 2005 SCREENING
9 Qs
IIT JEE 2005
7 Qs
IIT JEE 2004 SCREENING
7 Qs
IIT JEE 2004
5 Qs
IIT JEE 2003
6 Qs
IIT JEE 2003 SCREENING
6 Qs
IIT JEE 2002 SCREENING
7 Qs
IIT JEE 2002
2 Qs
IIT JEE 2001 SCREENING
5 Qs
IIT JEE 2001
4 Qs
IIT JEE 2000 SCREENING
9 Qs
IIT JEE 2000
3 Qs
IIT JEE 1999
10 Qs
IIT JEE 1998
10 Qs
IIT JEE 1997
8 Qs
IIT JEE 1996
9 Qs
IIT JEE 1995 SCREENING
6 Qs
IIT JEE 1995
5 Qs
IIT JEE 1994
12 Qs
IIT JEE 1993
6 Qs
IIT JEE 1992
6 Qs
IIT JEE 1991
5 Qs
IIT JEE 1990
9 Qs
IIT JEE 1989
5 Qs
IIT JEE 1988
6 Qs
IIT JEE 1987
7 Qs
IIT JEE 1986
4 Qs
IIT JEE 1985
8 Qs
IIT JEE 1984
6 Qs
IIT JEE 1983
15 Qs
IIT JEE 1982
8 Qs
IIT JEE 1981
9 Qs
IIT JEE 1980
1 Qs
IIT JEE 1979
3 Qs
IIT JEE 1978
2 Qs

Browse by subtopics

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

Application Of Derivatives

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

123 questions59 papers44 years

Definite Integration

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

112 questions61 papers46 years

Limits Continuity And Differentiability

Explore previous-paper coverage, trends and focused practice for Limits Continuity And Differentiability.

63 questions37 papers21 years

Application Of Integration

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

65 questions47 papers39 years

Differential Equations

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

45 questions35 papers29 years

Differentiation

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

36 questions31 papers28 years

Functions

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

33 questions21 papers16 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 2025 PAPER 1 ONLINE20256View paper
JEE ADVANCED 2025 PAPER 2 ONLINE20256View paper
JEE ADVANCED 2024 PAPER 1 ONLINE20242View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20249View paper
JEE ADVANCED 2023 PAPER 1 ONLINE20235View paper
JEE ADVANCED 2023 PAPER 2 ONLINE20235View paper
JEE ADVANCED 2022 PAPER 1 ONLINE20223View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20227View paper
JEE ADVANCED 2021 PAPER 1 ONLINE20212View paper
JEE ADVANCED 2021 PAPER 2 ONLINE20219View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20208View paper
JEE ADVANCED 2020 PAPER 2 OFFLINE20207View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE20194View paper
JEE ADVANCED 2019 PAPER 2 OFFLINE20195View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20186View paper
JEE ADVANCED 2018 PAPER 2 OFFLINE20186View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20176View paper
JEE ADVANCED 2017 PAPER 2 OFFLINE20179View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE20166View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20166View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE20157View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE20159View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20149View paper
JEE ADVANCED 2014 PAPER 2 OFFLINE20147View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE20134View paper
JEE ADVANCED 2013 PAPER 2 OFFLINE20134View paper
IIT JEE 2012 PAPER 1 OFFLINE20128View paper
IIT JEE 2012 PAPER 2 OFFLINE20126View paper
IIT JEE 2011 PAPER 1 OFFLINE20115View paper
IIT JEE 2011 PAPER 2 OFFLINE20117View paper
IIT JEE 2010 PAPER 1 OFFLINE20106View paper
IIT JEE 2010 PAPER 2 OFFLINE20106View paper
IIT JEE 2009 PAPER 1 OFFLINE20094View paper
IIT JEE 2009 PAPER 2 OFFLINE20097View paper
IIT JEE 2008 PAPER 1 OFFLINE20087View paper
IIT JEE 2008 PAPER 2 OFFLINE20088View paper
IIT JEE 2007 PAPER 1 OFFLINE20074View paper
IIT JEE 2007 PAPER 2 OFFLINE20078View paper
IIT JEE 2006200615View paper
IIT JEE 200520057View paper
IIT JEE 2005 MAINS20059View paper
IIT JEE 2005 SCREENING20059View paper
IIT JEE 200420045View paper
IIT JEE 2004 SCREENING20047View paper
IIT JEE 200320036View paper
IIT JEE 2003 SCREENING20036View paper
IIT JEE 200220022View paper
IIT JEE 2002 SCREENING20027View paper
IIT JEE 200120014View paper
IIT JEE 2001 SCREENING20015View paper
IIT JEE 200020003View paper
IIT JEE 2000 SCREENING20009View paper
IIT JEE 1999199910View paper
IIT JEE 1998199810View paper
IIT JEE 199719978View paper
IIT JEE 199619969View paper
IIT JEE 199519955View paper
IIT JEE 1995 SCREENING19956View paper
IIT JEE 1994199412View paper
IIT JEE 199319936View paper
IIT JEE 199219926View paper
IIT JEE 199119915View paper
IIT JEE 199019909View paper
IIT JEE 198919895View paper
IIT JEE 198819886View paper
IIT JEE 198719877View paper
IIT JEE 198619864View paper
IIT JEE 198519858View paper
IIT JEE 198419846View paper
IIT JEE 1983198315View paper
IIT JEE 198219828View paper
IIT JEE 198119819View paper
IIT JEE 198019801View paper
IIT JEE 197919793View 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.
Open complete paper
2
1979 · Mathematics · Calculus · Application Of Derivatives
IIT JEE 1979
Prove that the minimum value of \({{\left( {a + x} \right)\left( {b + x} \right)} \over {\left( {c + x} \right)}},\)
\(a,b > c,x > - c\) is \({\left( {\sqrt {a - c} + \sqrt {b - c} } \right)^2}\).
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 \({{dy} \over {dx}}\).
Open complete paper
4
1981 · Mathematics · Calculus · Application Of Derivatives
IIT JEE 1981
For all \(x\) in \(\left[ {0,1} \right]\), let the second derivative \(f''(x)\) of a function \(f(x)\) exist and satisfy \(\left| {f''\left( x \right)} \right| < 1.\) If \(f(0)=f(1)\), then show that \(\left| {f\left( x \right)} \right| < 1\) for all \(x\) in \(\left[ {0,1} \right]\).
Open complete paper
5
1982 · Mathematics · Calculus · Differentiation
IIT JEE 1982
Let \(f\) be a twice differentiable function such that

\(f''\left( x \right) = - f\left( x \right),\) and \(f'\left( x \right) = g\left( x \right),h\left( x \right) = {\left[ {f\left( x \right)} \right]^2} + {\left[ {g\left( x \right)} \right]^2}\)

Find \(h\left( {10} \right)\) if \(h(5)=11\)

Open complete paper
6
1983 · Mathematics · Calculus · Differentiation
IIT JEE 1983
The derivative of an even function is always an odd function.
Open complete paper