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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.

9Papers
9Years
261Questions
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.

Not classified 261 100%

Question type distribution

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

Multiple Choices 261 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
261 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
261 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Matrices And Determinants
56 Qs
Probability
39 Qs
Three Dimensional Geometry
38 Qs
Vector Algebra
33 Qs
Sets And Relations
19 Qs
Linear Programming
14 Qs
Sequences And Series
12 Qs
Permutations And Combinations
12 Qs
Statistics
9 Qs
Binomial Theorem
8 Qs
Mathematical Reasoning
8 Qs
Complex Numbers
8 Qs
Quadratic Equations
3 Qs
Logarithms
2 Qs

Paper coverage

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

KCET 2025
32 Qs
KCET 2024
28 Qs
KCET 2023
30 Qs
KCET 2022
28 Qs
KCET 2021
26 Qs
KCET 2020
32 Qs
KCET 2019
30 Qs
KCET 2018
30 Qs
KCET 2017
25 Qs

Browse by subtopics

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

Matrices And Determinants

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

65 questions10 papers10 years

Probability

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

44 questions10 papers10 years

Three Dimensional Geometry

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

41 questions10 papers10 years

Vector Algebra

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

36 questions10 papers10 years

Sets And Relations

Explore previous-paper coverage, trends and focused practice for Sets And Relations.

23 questions9 papers9 years

Linear Programming

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

16 questions10 papers10 years

Permutations And Combinations

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

14 questions9 papers9 years

Sequences And Series

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

13 questions10 papers10 years

Statistics

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

10 questions10 papers10 years

Binomial Theorem

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

9 questions8 papers8 years

Mathematical Reasoning

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

9 questions7 papers7 years

Complex Numbers

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

9 questions9 papers9 years

Quadratic Equations

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

3 questions3 papers3 years

Logarithms

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

2 questions2 papers2 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
KCET 2025202532View paper
KCET 2024202428View paper
KCET 2023202330View paper
KCET 2022202228View paper
KCET 2021202126View paper
KCET 2020202032View paper
KCET 2019201930View paper
KCET 2018201830View paper
KCET 2017201725View paper

Sample previous year questions

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

1
2017 · Mathematics · Algebra · Sequences And Series
KCET 2017
$3+5+7+\ldots$ to $n$ terms is
A
$n(n+2)$
B
$(n+1)^2$
C
$n^2$
D
$n(n-2)$
Open complete paper
2
2018 · Mathematics · Algebra · Sequences And Series
KCET 2018

    If $a, b, c$ are three consecutive terms of an AP and $x, y, z$ are three consecutive terms of a GP, then the value of $x^{b-c} \cdot y^{c-a} \cdot z^{a-b}$ is

A

0

B

-1

C

$x y z$

D

1

Open complete paper
3
2019 · Mathematics · Algebra · Sequences And Series
KCET 2019

The third term of a GP is 9. The product of its first five terms is

A
\(3^{10}\)
B
\(9^5\)
C
\(3^{12}\)
D
\(3^9\)
Open complete paper
4
2020 · Mathematics · Algebra · Sequences And Series
KCET 2020

If the sum of \(n\) terms of an AP is given by \(S_n=n^2+n\), then the common difference of the \(\mathrm{AP}\) is

A
4
B
1
C
2
D
6
Open complete paper
5
2021 · Mathematics · Algebra · Sequences And Series
KCET 2021

If the middle term of the AP is 300, then the sum of its first 51 terms is

A
15300
B
14800
C
16500
D
14300
Open complete paper
6
2022 · Mathematics · Algebra · Vector Algebra
KCET 2022

If \(|\mathbf{a}|=2\) and \(|\mathbf{b}|=3\) and the angle between \(\mathbf{a}\) and \(\mathbf{b}\) is \(120^{\circ}\), then the length of the vector \(\left|\frac{\mathbf{a}}{2}-\frac{\mathbf{b}}{3}\right|\) is

A
2
B
3
C
1/6
D
1
Open complete paper