My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Calculus PYQs - BITSAT Previous Year Questions

Practice 69 Calculus PYQs from BITSAT previous papers (6 years). Ideal for exam prep with clear topic navigation.

6Papers
6Years
69Questions
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 69 100%

Question type distribution

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

Multiple Choices 69 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
69 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
69 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Functions
13 Qs
Limits Continuity And Differentiability
11 Qs
Application Of Derivatives
11 Qs
Differential Equations
9 Qs
Area Under The Curves
9 Qs
Definite Integration
6 Qs
Indefinite Integration
6 Qs
Differentiation
4 Qs

Paper coverage

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

BITSAT 2025
12 Qs
BITSAT 2024
10 Qs
BITSAT 2023
10 Qs
BITSAT 2022
10 Qs
BITSAT 2021
12 Qs
BITSAT 2020
15 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
BITSAT 2025202512View paper
BITSAT 2024202410View paper
BITSAT 2023202310View paper
BITSAT 2022202210View paper
BITSAT 2021202112View paper
BITSAT 2020202015View paper

Sample previous year questions

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

1
2020 · Mathematics · Calculus · Functions
BITSAT 2020

Let f(x) = x \(-\) 3, g(x) = 4 \(-\) x. Then the set of values of x for which \(|f(x) + g(x)|\, < \,|f(x)| + |g(x)|\) is true, is given by :

A
R
B
R \(-\) (3, 4)
C
R \(-\) [3, 4]
D
None of these
Open complete paper
2
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
BITSAT 2021

The value of \(\mathop {\lim }\limits_{x \to 0} {{\sqrt {1 - {{\cos x}^2}} } \over {1 - \cos x}}\) is

A
\({1 \over 2}\)
B
2
C
\(\sqrt 2\)
D
None of these
Open complete paper
3
2022 · Mathematics · Calculus · Functions
BITSAT 2022

If g(x) = x2 + x \(-\) 2 and \(\frac{1}{2}gof(x)=2x^2-5x+2\), then f(x) is equal to

A
2x \(-\) 3
B
2x + 3
C
2x2 + 3x + 1
D
2x2 \(-\) 3x + 1
Open complete paper
4
2023 · Mathematics · Calculus · Limits Continuity And Differentiability
BITSAT 2023

The value of \(\lim _\limits{x \rightarrow 0} \frac{8}{x^8}\left(1-\cos \frac{x^2}{2}-\cos \frac{x^2}{4}+\cos \frac{x^2}{2} \cos \frac{x^2}{4}\right)\) is

A
\(\frac{1}{32}\)
B
\(\frac{1}{8}\)
C
\(\frac{1}{64}\)
D
\(\frac{1}{16}\)
Open complete paper
5
2024 · Mathematics · Calculus · Functions
BITSAT 2024
Let $ [x] $ denote the greatest integer $ \leq x $. If $ f(x)=[x] $ and $ g(x)=|x| $, then the value of $ f\left(g\left(\frac{8}{5}\right)\right)-g\left(f\left(-\frac{8}{5}\right)\right) $ is
A
2
B
-2
C
1
D
-1
Open complete paper
6
2025 · Mathematics · Calculus · Functions
BITSAT 2025

If $f: X \rightarrow Y$ be a function defined by $f(x)=a \sin \left(x+\frac{\pi}{4}\right)+b \cos x+c$ and $f$ is bijective, then the set $X$ with $\theta=\tan ^{-1}\left(\frac{a+\sqrt{2} b}{a}\right)$ is

A

$\left[-\frac{\pi}{2}+\theta, \frac{\pi}{2}+\theta\right]$

B

$[\pi-\theta, \pi+\theta]$

C

$\left[-\frac{\pi}{2}-\theta, \frac{\pi}{2}-\theta\right]$

D

$\left[2 \pi-\frac{\theta}{2}, \frac{\pi}{2}+\theta\right]$

Open complete paper