My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
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.

10Papers
10Years
600Questions
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.

Not classified 600 100%

Question type distribution

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

Multiple Choices 600 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
600 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
261 Qs
Calculus
220 Qs
Trigonometry
42 Qs
Algebra
33 Qs
Coordinate Geometry
25 Qs
Calculus
19 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Matrices And Determinants
65 Qs
Probability
44 Qs
Three Dimensional Geometry
41 Qs
Differentiation
38 Qs
Vector Algebra
36 Qs
Functions
36 Qs
Application Of Derivatives
33 Qs
Definite Integration
31 Qs
Limits Continuity And Differentiability
29 Qs
Indefinite Integration
28 Qs
Differential Equations
27 Qs
Sets And Relations
23 Qs
Inverse Trigonometric Functions
22 Qs
Area Under The Curves
17 Qs
Linear Programming
16 Qs
Permutations And Combinations
14 Qs
Sequences And Series
13 Qs
Trigonometric Ratios And Identities
13 Qs
Straight Lines And Pair Of Straight Lines
12 Qs
Statistics
10 Qs
Binomial Theorem
9 Qs
Mathematical Reasoning
9 Qs
Complex Numbers
9 Qs
Properties Of Triangles
4 Qs
Ellipse
4 Qs
Circle
3 Qs
Hyperbola
3 Qs
Quadratic Equations
3 Qs
Trigonometric Equations
3 Qs
Parabola
3 Qs
Logarithms
2 Qs

Paper coverage

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

KCET 2026
60 Qs
KCET 2025
60 Qs
KCET 2024
60 Qs
KCET 2023
60 Qs
KCET 2022
60 Qs
KCET 2021
60 Qs
KCET 2020
60 Qs
KCET 2019
60 Qs
KCET 2018
60 Qs
KCET 2017
60 Qs

Browse by topics

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

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
KCET 2026202660View paper
KCET 2025202560View paper
KCET 2024202460View paper
KCET 2023202360View paper
KCET 2022202260View paper
KCET 2021202160View paper
KCET 2020202060View paper
KCET 2019201960View paper
KCET 2018201860View paper
KCET 2017201760View paper

Sample previous year questions

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

1
2017 · Mathematics · Calculus · Differentiation
KCET 2017
If $y=\log (\log x)$, then $\frac{d^2 y}{d x^2}$ is equal to
A
$\frac{-(1+\log x)}{x^2 \log x}$
B
$\frac{-(1+\log x)}{(x \log x)^2}$
C
$\frac{(1+\log x)}{(x \log x)^2}$
D
$\frac{(1+\log x)}{x^2 \log x}$
Open complete paper
2
2018 · Mathematics · Calculus · Differentiation
KCET 2018
\(\text { If } y=\sqrt{x+\sqrt{x+\sqrt{x+\ldots \infty}}} \text {, then } \frac{d y}{d x} \text { is equal }\) to
A
$\frac{1}{y^2-1}$
B
$\frac{1}{2 y+1}$
C
$\frac{2 y}{y^2-1}$
D
$\frac{1}{2 y-1}$
Open complete paper
3
2019 · Mathematics · Calculus · Definite Integration
KCET 2019

$$\int_\limits{-3}^3 \cot ^{-1} x d x=$$

A
\(6\pi\)
B
\(3\pi\)
C
3
D
0
Open complete paper
4
2020 · Mathematics · Calculus · Application Of Derivatives
KCET 2020

If the side of a cube is increased by \(5 \%\), then the surface area of a cube is increased by

A
10%
B
60%
C
6%
D
20%
Open complete paper
5
2021 · Mathematics · Calculus · Definite Integration
KCET 2021

If \(I_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x\), where \(n\) is positive integer, then \(I_{10}+I_8\) is equal to

A
9
B
\(\frac{1}{7}\)
C
\(\frac{1}{8}\)
D
\(\frac{1}{9}\)
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