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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.

75Papers
48Years
640Questions
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 363 56.7%
Easy 160 25%
Hard 88 13.8%
Not classified 29 4.5%

Question type distribution

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

Multiple Choices 445 69.5%
Subjective 111 17.3%
Numerical Answer Type (NAT) 84 13.1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
640 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
640 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
114 Qs
Quadratic Equation And Inequalities
89 Qs
Vector Algebra
89 Qs
Complex Numbers
84 Qs
Sequences And Series
63 Qs
Matrices And Determinants
57 Qs
Mathematical Induction And Binomial Theorem
52 Qs
3D Geometry
46 Qs
Permutations And Combinations
44 Qs
Statistics
2 Qs

Paper coverage

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

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
4 Qs
JEE ADVANCED 2023 PAPER 1 ONLINE
9 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
6 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
10 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
5 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
11 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
3 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
5 Qs
JEE ADVANCED 2020 PAPER 2 OFFLINE
4 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
9 Qs
JEE ADVANCED 2019 PAPER 2 OFFLINE
6 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
3 Qs
JEE ADVANCED 2018 PAPER 2 OFFLINE
3 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
5 Qs
JEE ADVANCED 2017 PAPER 2 OFFLINE
3 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
8 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
8 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
7 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
7 Qs
IIT JEE 2010 PAPER 1 OFFLINE
11 Qs
IIT JEE 2010 PAPER 2 OFFLINE
7 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
13 Qs
IIT JEE 2005 SCREENING
8 Qs
IIT JEE 2005
2 Qs
IIT JEE 2005 MAINS
2 Qs
IIT JEE 2004 SCREENING
9 Qs
IIT JEE 2004
6 Qs
IIT JEE 2003
7 Qs
IIT JEE 2003 SCREENING
7 Qs
IIT JEE 2002 SCREENING
8 Qs
IIT JEE 2002
5 Qs
IIT JEE 2001 SCREENING
9 Qs
IIT JEE 2001
2 Qs
IIT JEE 2000 SCREENING
12 Qs
IIT JEE 2000
7 Qs
IIT JEE 1999
16 Qs
IIT JEE 1998
21 Qs
IIT JEE 1997
9 Qs
IIT JEE 1996
4 Qs
IIT JEE 1995 SCREENING
10 Qs
IIT JEE 1995
3 Qs
IIT JEE 1994
14 Qs
IIT JEE 1993
8 Qs
IIT JEE 1992
8 Qs
IIT JEE 1991
6 Qs
IIT JEE 1990
6 Qs
IIT JEE 1989
13 Qs
IIT JEE 1988
11 Qs
IIT JEE 1987
8 Qs
IIT JEE 1986
13 Qs
IIT JEE 1985
14 Qs
IIT JEE 1984
19 Qs
IIT JEE 1983
19 Qs
IIT JEE 1982
21 Qs
IIT JEE 1981
9 Qs
IIT JEE 1980
9 Qs
IIT JEE 1979
9 Qs
IIT JEE 1978
9 Qs

Browse by subtopics

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

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

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 2025 PAPER 1 ONLINE202510View paper
JEE ADVANCED 2025 PAPER 2 ONLINE20255View paper
JEE ADVANCED 2024 PAPER 1 ONLINE202412View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20244View paper
JEE ADVANCED 2023 PAPER 1 ONLINE20239View paper
JEE ADVANCED 2023 PAPER 2 ONLINE20236View paper
JEE ADVANCED 2022 PAPER 1 ONLINE202210View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20225View paper
JEE ADVANCED 2021 PAPER 1 ONLINE202111View paper
JEE ADVANCED 2021 PAPER 2 ONLINE20213View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20205View paper
JEE ADVANCED 2020 PAPER 2 OFFLINE20204View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE20199View paper
JEE ADVANCED 2019 PAPER 2 OFFLINE20196View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20183View paper
JEE ADVANCED 2018 PAPER 2 OFFLINE20183View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20175View paper
JEE ADVANCED 2017 PAPER 2 OFFLINE20173View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE20168View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20168View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE20157View 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 OFFLINE20117View paper
IIT JEE 2010 PAPER 1 OFFLINE201011View paper
IIT JEE 2010 PAPER 2 OFFLINE20107View 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 2006200613View paper
IIT JEE 200520052View paper
IIT JEE 2005 MAINS20052View paper
IIT JEE 2005 SCREENING20058View paper
IIT JEE 200420046View paper
IIT JEE 2004 SCREENING20049View paper
IIT JEE 200320037View paper
IIT JEE 2003 SCREENING20037View paper
IIT JEE 200220025View paper
IIT JEE 2002 SCREENING20028View paper
IIT JEE 200120012View paper
IIT JEE 2001 SCREENING20019View paper
IIT JEE 200020007View paper
IIT JEE 2000 SCREENING200012View paper
IIT JEE 1999199916View paper
IIT JEE 1998199821View paper
IIT JEE 199719979View paper
IIT JEE 199619964View paper
IIT JEE 199519953View paper
IIT JEE 1995 SCREENING199510View paper
IIT JEE 1994199414View paper
IIT JEE 199319938View paper
IIT JEE 199219928View paper
IIT JEE 199119916View paper
IIT JEE 199019906View paper
IIT JEE 1989198913View paper
IIT JEE 1988198811View paper
IIT JEE 198719878View paper
IIT JEE 1986198613View paper
IIT JEE 1985198514View paper
IIT JEE 1984198419View paper
IIT JEE 1983198319View paper
IIT JEE 1982198221View paper
IIT JEE 198119819View paper
IIT JEE 198019809View paper
IIT JEE 197919799View paper
IIT JEE 197819789View 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