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Previous year question hub

Mathematics Previous Year Questions

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

79Papers
49Years
1,790Questions
6Topics

Mathematics question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 1,028 56.4%
Easy 349 19.2%
Hard 348 19.1%
Not classified 97 5.3%

Question type distribution

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

Multiple Choices 1,116 61.3%
Subjective 406 22.3%
Numerical Answer Type (NAT) 233 12.8%
Fill in the blanks 67 3.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
1790 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
640 Qs
Calculus
387 Qs
Coordinate Geometry
319 Qs
Trigonometry
205 Qs
Algebra
128 Qs
Calculus
111 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
139 Qs
Application Of Derivatives
123 Qs
Vector Algebra
112 Qs
Definite Integration
112 Qs
Complex Numbers
104 Qs
Quadratic Equation And Inequalities
105 Qs
Circle
101 Qs
Trigonometric Functions And Equations
99 Qs
Straight Lines And Pair Of Straight Lines
85 Qs
Properties Of Triangle
77 Qs
Sequences And Series
73 Qs
Limits Continuity And Differentiability
63 Qs
Matrices And Determinants
62 Qs
Application Of Integration
65 Qs
3D Geometry
61 Qs
Parabola
60 Qs
Permutations And Combinations
55 Qs
Mathematical Induction And Binomial Theorem
54 Qs
Differential Equations
45 Qs
Ellipse
45 Qs
Differentiation
36 Qs
Functions
33 Qs
Inverse Trigonometric Functions
29 Qs
Hyperbola
28 Qs
Indefinite Integrals
21 Qs
Statistics
3 Qs

Paper coverage

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

JEE Advanced 2026 Paper 2 Online
18 Qs
JEE Advanced 2026 Paper 1 Online
16 Qs
JEE Advanced 2026 Paper 1 Online
16 Qs
JEE Advanced 2026 Paper 1 Online
16 Qs
JEE ADVANCED 2025 PAPER 1 ONLINE
16 Qs
JEE ADVANCED 2025 PAPER 2 ONLINE
16 Qs
JEE ADVANCED 2024 PAPER 1 ONLINE
17 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
17 Qs
JEE ADVANCED 2023 PAPER 1 ONLINE
17 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
17 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
18 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
18 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
19 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
19 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
18 Qs
JEE ADVANCED 2020 PAPER 2 OFFLINE
18 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
18 Qs
JEE ADVANCED 2019 PAPER 2 OFFLINE
18 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
18 Qs
JEE ADVANCED 2018 PAPER 2 OFFLINE
18 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
18 Qs
JEE ADVANCED 2017 PAPER 2 OFFLINE
18 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
18 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
18 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
20 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
20 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
20 Qs
JEE ADVANCED 2014 PAPER 2 OFFLINE
20 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
20 Qs
JEE ADVANCED 2013 PAPER 2 OFFLINE
20 Qs
IIT JEE 2012 PAPER 1 OFFLINE
20 Qs
IIT JEE 2012 PAPER 2 OFFLINE
20 Qs
IIT JEE 2011 PAPER 1 OFFLINE
23 Qs
IIT JEE 2011 PAPER 2 OFFLINE
20 Qs
IIT JEE 2010 PAPER 1 OFFLINE
28 Qs
IIT JEE 2010 PAPER 2 OFFLINE
19 Qs
IIT JEE 2009 PAPER 1 OFFLINE
20 Qs
IIT JEE 2009 PAPER 2 OFFLINE
19 Qs
IIT JEE 2008 PAPER 1 OFFLINE
23 Qs
IIT JEE 2008 PAPER 2 OFFLINE
22 Qs
IIT JEE 2007 PAPER 1 OFFLINE
22 Qs
IIT JEE 2007 PAPER 2 OFFLINE
22 Qs
IIT JEE 2006
40 Qs
IIT JEE 2005 SCREENING
22 Qs
IIT JEE 2005
18 Qs
IIT JEE 2005 MAINS
18 Qs
IIT JEE 2004 SCREENING
24 Qs
IIT JEE 2004
16 Qs
IIT JEE 2003 SCREENING
20 Qs
IIT JEE 2003
18 Qs
IIT JEE 2002 SCREENING
24 Qs
IIT JEE 2002
16 Qs
IIT JEE 2001 SCREENING
25 Qs
IIT JEE 2001
16 Qs
IIT JEE 2000 SCREENING
31 Qs
IIT JEE 2000
16 Qs
IIT JEE 1999
41 Qs
IIT JEE 1998
50 Qs
IIT JEE 1997
24 Qs
IIT JEE 1996
33 Qs
IIT JEE 1995 SCREENING
21 Qs
IIT JEE 1995
13 Qs
IIT JEE 1994
47 Qs
IIT JEE 1993
29 Qs
IIT JEE 1992
23 Qs
IIT JEE 1991
26 Qs
IIT JEE 1990
26 Qs
IIT JEE 1989
29 Qs
IIT JEE 1988
32 Qs
IIT JEE 1987
27 Qs
IIT JEE 1986
30 Qs
IIT JEE 1985
37 Qs
IIT JEE 1984
36 Qs
IIT JEE 1983
56 Qs
IIT JEE 1982
39 Qs
IIT JEE 1981
30 Qs
IIT JEE 1980
28 Qs
IIT JEE 1979
23 Qs
IIT JEE 1978
20 Qs

Browse by topics

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

Algebra

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

640 questions75 papers48 years

Calculus

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

387 questions72 papers46 years

Coordinate Geometry

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

319 questions77 papers49 years

Trigonometry

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

205 questions73 papers49 years

Algebra

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

128 questions45 papers36 years

Calculus

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

111 questions45 papers38 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 Online202616View paper
JEE Advanced 2026 Paper 1 Online202616View paper
JEE Advanced 2026 Paper 1 Online202616View paper
JEE Advanced 2026 Paper 2 Online202618View paper
JEE ADVANCED 2025 PAPER 1 ONLINE202516View paper
JEE ADVANCED 2025 PAPER 2 ONLINE202516View paper
JEE ADVANCED 2024 PAPER 1 ONLINE202417View paper
JEE ADVANCED 2024 PAPER 2 ONLINE202417View paper
JEE ADVANCED 2023 PAPER 1 ONLINE202317View paper
JEE ADVANCED 2023 PAPER 2 ONLINE202317View paper
JEE ADVANCED 2022 PAPER 1 ONLINE202218View paper
JEE ADVANCED 2022 PAPER 2 ONLINE202218View paper
JEE ADVANCED 2021 PAPER 1 ONLINE202119View paper
JEE ADVANCED 2021 PAPER 2 ONLINE202119View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE202018View paper
JEE ADVANCED 2020 PAPER 2 OFFLINE202018View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE201918View paper
JEE ADVANCED 2019 PAPER 2 OFFLINE201918View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE201818View paper
JEE ADVANCED 2018 PAPER 2 OFFLINE201818View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE201718View paper
JEE ADVANCED 2017 PAPER 2 OFFLINE201718View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE201618View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE201618View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE201520View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE201520View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE201420View paper
JEE ADVANCED 2014 PAPER 2 OFFLINE201420View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE201320View paper
JEE ADVANCED 2013 PAPER 2 OFFLINE201320View paper
IIT JEE 2012 PAPER 1 OFFLINE201220View paper
IIT JEE 2012 PAPER 2 OFFLINE201220View paper
IIT JEE 2011 PAPER 1 OFFLINE201123View paper
IIT JEE 2011 PAPER 2 OFFLINE201120View paper
IIT JEE 2010 PAPER 1 OFFLINE201028View paper
IIT JEE 2010 PAPER 2 OFFLINE201019View paper
IIT JEE 2009 PAPER 1 OFFLINE200920View paper
IIT JEE 2009 PAPER 2 OFFLINE200919View paper
IIT JEE 2008 PAPER 1 OFFLINE200823View paper
IIT JEE 2008 PAPER 2 OFFLINE200822View paper
IIT JEE 2007 PAPER 1 OFFLINE200722View paper
IIT JEE 2007 PAPER 2 OFFLINE200722View paper
IIT JEE 2006200640View paper
IIT JEE 2005200518View paper
IIT JEE 2005 MAINS200518View paper
IIT JEE 2005 SCREENING200522View paper
IIT JEE 2004200416View paper
IIT JEE 2004 SCREENING200424View paper
IIT JEE 2003200318View paper
IIT JEE 2003 SCREENING200320View paper
IIT JEE 2002200216View paper
IIT JEE 2002 SCREENING200224View paper
IIT JEE 2001200116View paper
IIT JEE 2001 SCREENING200125View paper
IIT JEE 2000200016View paper
IIT JEE 2000 SCREENING200031View paper
IIT JEE 1999199941View paper
IIT JEE 1998199850View paper
IIT JEE 1997199724View paper
IIT JEE 1996199633View paper
IIT JEE 1995199513View paper
IIT JEE 1995 SCREENING199521View paper
IIT JEE 1994199447View paper
IIT JEE 1993199329View paper
IIT JEE 1992199223View paper
IIT JEE 1991199126View paper
IIT JEE 1990199026View paper
IIT JEE 1989198929View paper
IIT JEE 1988198832View paper
IIT JEE 1987198727View paper
IIT JEE 1986198630View paper
IIT JEE 1985198537View paper
IIT JEE 1984198436View paper
IIT JEE 1983198356View paper
IIT JEE 1982198239View paper
IIT JEE 1981198130View paper
IIT JEE 1980198028View paper
IIT JEE 1979197923View paper
IIT JEE 1978197820View paper

Sample previous year questions

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

1
1978 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1978
Sketch the solution set of the following system of inequalities: \({x^2} + {y^2} - 2x \ge 0;\,\,3x - y - 12 \le 0;\,\,y - x \le 0;\,\,y \ge 0.\)
Write your response
Open complete paper
2
1979 · Mathematics · Algebra · Mathematical Induction And Binomial Theorem
IIT JEE 1979
Given that \({C_1} + 2{C_2}x + 3{C_3}{x^2} + ......... + 2n{C_{2n}}{x^{2n - 1}} = 2n{\left( {1 + x} \right)^{2n - 1}}\)
where \({C_r} = {{\left( {2n} \right)\,!} \over {r!\left( {2n - r} \right)!}}\,\,\,\,\,r = 0,1,2,\,............,2n\)
Prove that \({C_1}^2 - 2{C_2}^2 + 3{C_3}^2 - ............ - 2n{C_{2n}}^2 = {\left( { - 1} \right)^n}n{C_n}.\)
Write your response
Open complete paper
3
1980 · Mathematics · Algebra · Sequences And Series
IIT JEE 1980
The interior angles of a polygon are in arithmetic progression. The smallest angle is \({120^ \circ }\), and the common difference is \({5^ \circ }\), Find the number of sides of the polygon.
Write your response
Open complete paper
4
1981 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1981
For every integer n > 1, the inequality \({(n!)^{1/n}} < {{n + 1} \over 2}\) holds.
A
TRUE
B
FALSE
Open complete paper
5
1982 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1982
If p, q, r are any real numbers, then
A
max (p, q) < max (p, q, r )
B
min (p, q) = \({1 \over 2}\left( {p + q - \left| {p - q} \right|} \right)\)
C
max (p, q) < min (p, q, r)
D
none of these
Open complete paper
6
1983 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1983
The equation \(2{x^2} + 3x + 1 = 0\) has an irrational root.
A
TRUE
B
FALSE
Open complete paper