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Previous year question hub

Algebra - Mathematics Previous Year Questions

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

79Papers
49Years
768Questions
1Topics

Algebra question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 449 57.1%
Easy 182 23.2%
Hard 121 15.4%
Not classified 34 4.3%

Question type distribution

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

MCQ 385 49%
Subjective 159 20.2%
Numerical Answer Type (NAT) 112 14.2%
MSQ 104 13.2%
Fill in the blanks 26 3.3%

Subject weightage

Top subjects by unique question coverage.

Mathematics
768 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
768 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
139 Qs
Vector Algebra
112 Qs
Complex Numbers
104 Qs
Quadratic Equation And Inequalities
105 Qs
Sequences And Series
73 Qs
Matrices And Determinants
62 Qs
3D Geometry
61 Qs
Permutations And Combinations
55 Qs
Mathematical Induction And Binomial Theorem
54 Qs
Statistics
3 Qs

Paper coverage

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

JEE Advanced 2026 Paper 1 Online
9 Qs
JEE Advanced 2026 Paper 1 Online
9 Qs
JEE Advanced 2026 Paper 1 Online
9 Qs
JEE Advanced 2026 Paper 2 Online
6 Qs
JEE ADVANCED 2025 PAPER 1 ONLINE
10 Qs
JEE ADVANCED 2025 PAPER 2 ONLINE
5 Qs
JEE ADVANCED 2024 PAPER 1 ONLINE
12 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
5 Qs
JEE ADVANCED 2023 PAPER 1 ONLINE
9 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
7 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
10 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
7 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
13 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
3 Qs
JEE ADVANCED 2020 PAPER 2 OFFLINE
9 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
7 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
10 Qs
JEE ADVANCED 2019 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
8 Qs
JEE ADVANCED 2018 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2017 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
6 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
8 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
8 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
8 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
8 Qs
JEE ADVANCED 2014 PAPER 2 OFFLINE
7 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
11 Qs
JEE ADVANCED 2013 PAPER 2 OFFLINE
10 Qs
IIT JEE 2012 PAPER 2 OFFLINE
11 Qs
IIT JEE 2012 PAPER 1 OFFLINE
7 Qs
IIT JEE 2011 PAPER 1 OFFLINE
13 Qs
IIT JEE 2011 PAPER 2 OFFLINE
8 Qs
IIT JEE 2010 PAPER 1 OFFLINE
13 Qs
IIT JEE 2010 PAPER 2 OFFLINE
8 Qs
IIT JEE 2009 PAPER 1 OFFLINE
11 Qs
IIT JEE 2009 PAPER 2 OFFLINE
4 Qs
IIT JEE 2008 PAPER 2 OFFLINE
9 Qs
IIT JEE 2008 PAPER 1 OFFLINE
8 Qs
IIT JEE 2007 PAPER 1 OFFLINE
9 Qs
IIT JEE 2007 PAPER 2 OFFLINE
8 Qs
IIT JEE 2006
15 Qs
IIT JEE 2005 SCREENING
8 Qs
IIT JEE 2005
5 Qs
IIT JEE 2005 MAINS
5 Qs
IIT JEE 2004
9 Qs
IIT JEE 2004 SCREENING
9 Qs
IIT JEE 2003
9 Qs
IIT JEE 2003 SCREENING
7 Qs
IIT JEE 2002 SCREENING
8 Qs
IIT JEE 2002
6 Qs
IIT JEE 2001 SCREENING
9 Qs
IIT JEE 2001
7 Qs
IIT JEE 2000 SCREENING
12 Qs
IIT JEE 2000
7 Qs
IIT JEE 1999
16 Qs
IIT JEE 1998
23 Qs
IIT JEE 1997
9 Qs
IIT JEE 1996
12 Qs
IIT JEE 1995 SCREENING
10 Qs
IIT JEE 1995
3 Qs
IIT JEE 1994
17 Qs
IIT JEE 1993
10 Qs
IIT JEE 1992
10 Qs
IIT JEE 1991
10 Qs
IIT JEE 1990
9 Qs
IIT JEE 1989
15 Qs
IIT JEE 1988
16 Qs
IIT JEE 1987
11 Qs
IIT JEE 1986
16 Qs
IIT JEE 1985
18 Qs
IIT JEE 1984
19 Qs
IIT JEE 1983
24 Qs
IIT JEE 1982
25 Qs
IIT JEE 1981
10 Qs
IIT JEE 1980
12 Qs
IIT JEE 1979
12 Qs
IIT JEE 1978
12 Qs

Browse by subtopics

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

Probability

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

139 questions71 papers49 years

Vector Algebra

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

112 questions66 papers46 years

Complex Numbers

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

104 questions66 papers48 years

Quadratic Equation And Inequalities

Explore previous-paper coverage, trends and focused practice for Quadratic Equation And Inequalities.

105 questions51 papers46 years

Sequences And Series

Explore previous-paper coverage, trends and focused practice for Sequences And Series.

73 questions47 papers40 years

Matrices And Determinants

Explore previous-paper coverage, trends and focused practice for Matrices And Determinants.

62 questions34 papers21 years

3D Geometry

Explore previous-paper coverage, trends and focused practice for 3D Geometry.

61 questions43 papers26 years

Permutations And Combinations

Explore previous-paper coverage, trends and focused practice for Permutations And Combinations.

55 questions44 papers35 years

Mathematical Induction And Binomial Theorem

Explore previous-paper coverage, trends and focused practice for Mathematical Induction And Binomial Theorem.

54 questions35 papers32 years

Statistics

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

3 questions3 papers3 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 Online20269View paper
JEE Advanced 2026 Paper 1 Online20269View paper
JEE Advanced 2026 Paper 1 Online20269View paper
JEE Advanced 2026 Paper 2 Online20266View paper
JEE ADVANCED 2025 PAPER 1 ONLINE202510View paper
JEE ADVANCED 2025 PAPER 2 ONLINE20255View paper
JEE ADVANCED 2024 PAPER 1 ONLINE202412View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20245View paper
JEE ADVANCED 2023 PAPER 1 ONLINE20239View paper
JEE ADVANCED 2023 PAPER 2 ONLINE20237View paper
JEE ADVANCED 2022 PAPER 1 ONLINE202210View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20227View paper
JEE ADVANCED 2021 PAPER 1 ONLINE202113View paper
JEE ADVANCED 2021 PAPER 2 ONLINE20213View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20207View paper
JEE ADVANCED 2020 PAPER 2 OFFLINE20209View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE201910View paper
JEE ADVANCED 2019 PAPER 2 OFFLINE20197View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20188View paper
JEE ADVANCED 2018 PAPER 2 OFFLINE20187View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20176View paper
JEE ADVANCED 2017 PAPER 2 OFFLINE20177View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE20168View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20168View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE20158View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE20157View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20148View paper
JEE ADVANCED 2014 PAPER 2 OFFLINE20147View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE201311View paper
JEE ADVANCED 2013 PAPER 2 OFFLINE201310View paper
IIT JEE 2012 PAPER 1 OFFLINE20127View paper
IIT JEE 2012 PAPER 2 OFFLINE201211View paper
IIT JEE 2011 PAPER 1 OFFLINE201113View paper
IIT JEE 2011 PAPER 2 OFFLINE20118View paper
IIT JEE 2010 PAPER 1 OFFLINE201013View paper
IIT JEE 2010 PAPER 2 OFFLINE20108View paper
IIT JEE 2009 PAPER 1 OFFLINE200911View paper
IIT JEE 2009 PAPER 2 OFFLINE20094View paper
IIT JEE 2008 PAPER 1 OFFLINE20088View paper
IIT JEE 2008 PAPER 2 OFFLINE20089View paper
IIT JEE 2007 PAPER 1 OFFLINE20079View paper
IIT JEE 2007 PAPER 2 OFFLINE20078View paper
IIT JEE 2006200615View paper
IIT JEE 200520055View paper
IIT JEE 2005 MAINS20055View paper
IIT JEE 2005 SCREENING20058View paper
IIT JEE 200420049View paper
IIT JEE 2004 SCREENING20049View paper
IIT JEE 200320039View paper
IIT JEE 2003 SCREENING20037View paper
IIT JEE 200220026View paper
IIT JEE 2002 SCREENING20028View paper
IIT JEE 200120017View paper
IIT JEE 2001 SCREENING20019View paper
IIT JEE 200020007View paper
IIT JEE 2000 SCREENING200012View paper
IIT JEE 1999199916View paper
IIT JEE 1998199823View paper
IIT JEE 199719979View paper
IIT JEE 1996199612View paper
IIT JEE 199519953View paper
IIT JEE 1995 SCREENING199510View paper
IIT JEE 1994199417View paper
IIT JEE 1993199310View paper
IIT JEE 1992199210View paper
IIT JEE 1991199110View paper
IIT JEE 199019909View paper
IIT JEE 1989198915View paper
IIT JEE 1988198816View paper
IIT JEE 1987198711View paper
IIT JEE 1986198616View paper
IIT JEE 1985198518View paper
IIT JEE 1984198419View paper
IIT JEE 1983198324View paper
IIT JEE 1982198225View paper
IIT JEE 1981198110View paper
IIT JEE 1980198012View paper
IIT JEE 1979197912View paper
IIT JEE 1978197812View 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: \({x^2} + {y^2} - 2x \ge 0;\,\,3x - y - 12 \le 0;\,\,y - x \le 0;\,\,y \ge 0.\)
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 \({C_1}^2 - 2{C_2}^2 + 3{C_3}^2 - ............ - 2n{C_{2n}}^2 = {\left( { - 1} \right)^n}n{C_n}.\)
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.
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.
Open complete paper
5
1982 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 1982
If p, q, r are any real numbers, then
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.
Open complete paper