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Previous year question hub

Calculus - Mathematics Previous Year Questions

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

16Papers
15Years
432Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 432 100%

Question type distribution

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

Multiple Choices 415 96.1%
Subjective 17 3.9%

Subject weightage

Top subjects by unique question coverage.

Mathematics
432 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
432 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Definite Integration
85 Qs
Limits Continuity And Differentiability
83 Qs
Application Of Derivatives
64 Qs
Differential Equations
61 Qs
Functions
50 Qs
Differentiation
36 Qs
Indefinite Integrals
30 Qs
Application Of Integration
21 Qs
Indefinite Integration
1 Qs
Area Under The Curves
1 Qs

Paper coverage

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

WB JEE 2025
33 Qs
VITEEE 2025
11 Qs
WB JEE 2024
27 Qs
WB JEE 2023
30 Qs
WB JEE 2022
27 Qs
WB JEE 2021
31 Qs
WB JEE 2020
32 Qs
WB JEE 2019
29 Qs
WB JEE 2018
26 Qs
WB JEE 2017
29 Qs
WB JEE 2016
12 Qs
WB JEE 2012
1 Qs
WB JEE 2011
38 Qs
WB JEE 2010
40 Qs
WB JEE 2009
32 Qs
WB JEE 2008
34 Qs

Browse by subtopics

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
VITEEE 2025202511View paper
WB JEE 2025202533View paper
WB JEE 2024202427View paper
WB JEE 2023202330View paper
WB JEE 2022202227View paper
WB JEE 2021202131View paper
WB JEE 2020202032View paper
WB JEE 2019201929View paper
WB JEE 2018201826View paper
WB JEE 2017201729View paper
WB JEE 2016201612View paper
WB JEE 201220121View paper
WB JEE 2011201138View paper
WB JEE 2010201040View paper
WB JEE 2009200932View paper
WB JEE 2008200834View paper

Sample previous year questions

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

1
2016 · Mathematics · Calculus · Application Of Derivatives
WB JEE 2016
Time period T of a simple pendulum of length l is given by \(T = 2\pi \sqrt {{l \over g}}\). If the length is increased by 2%, then an approximate change in the time period is
A
2%
B
1%
C
\({1 \over 2}\)%
D
None of these
Open complete paper
2
2017 · Mathematics · Calculus · Limits Continuity And Differentiability
WB JEE 2017
Let \(f(x) = \left\{ {\matrix{ \[{{{{x^p}} \over {{{(\sin x)}^q}}},} & {if\,0 < x \le {\pi \over 2}} \cr\] {0,} & {if\,x = 0} \cr } } \right.\), \((p,q \in R)\). Then, Lagrange's mean value theorem is applicable to f(x) in closed interval [0, x]
A
for all p, q
B
only when p > q
C
only when p < q
D
for no value of p, q
Open complete paper
3
2018 · Mathematics · Calculus · Differentiation
WB JEE 2018
The equation x log x = 3 \(-\) x
A
has no root in (1, 3)
B
has exactly one root in (1, 3)
C
x log x \(-\) (3 \(-\) x) > 0 in [1, 3]
D
x log x \(-\) (3 \(-\) x) < 0 in [1, 3]
Open complete paper
4
2019 · Mathematics · Calculus · Differentiation
WB JEE 2019
Let \(f(x) = {x^4} - 4{x^3} + 4{x^2} + c,\,c \in R\). Then
A
f(x) has infinitely many zeroes in (1, 2) for all c
B
f(x) has exactly one zero in (1, 2) if \(-\)1 < c < 0
C
f(x) has double zeroes in (1, 2) if \(-\)1 < c < 0
D
whatever be the value of c, f(x) has no zero in (1, 2)
Open complete paper
5
2020 · Mathematics · Calculus · Limits Continuity And Differentiability
WB JEE 2020
Let f : R \(\to\) R be twice continuously differentiable (or f" exists and is continuous) such that f(0) = f(1) = f'(0) = 0. Then
A
f"(c) = 0 for some c \(\in\) R
B
there is no point for which f"(x) = 0
C
at all points f"(x) > 0
D
at all points f"(x) < 0
Open complete paper
6
2021 · Mathematics · Calculus · Functions
WB JEE 2021
f(x) is real valued function such that 2f(x) + 3f(\(-\)x) = 15 \(-\) 4x for all x\(\in\)R. Then f(2) =
A
\(-\)15
B
22
C
11
D
0
Open complete paper