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Previous year question hub

Calculus - Engineering Sciences Previous Year Questions

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

16Papers
16Years
59Questions
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.

Medium 31 52.5%
Easy 26 44.1%
Hard 2 3.4%

Question type distribution

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

MCQ 43 72.9%
Numerical Answer Type (NAT) 16 27.1%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
59 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
59 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Functions of Single Variable
33 Qs
Sequences and Series
13 Qs
Functions of Two Variables
13 Qs

Paper coverage

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

Engineering Sciences (XE) 2026
2 Qs
Engineering Sciences (XE) 2025
2 Qs
Engineering Sciences (XE) 2024
5 Qs
Engineering Sciences (XE) 2023
2 Qs
Engineering Sciences (XE) 2022
3 Qs
Engineering Sciences (XE) 2021
3 Qs
Engineering Sciences (XE) 2020
8 Qs
Engineering Sciences (XE) 2019
3 Qs
Engineering Sciences (XE) 2018
5 Qs
Engineering Sciences (XE) 2017
3 Qs
Engineering Sciences (XE) 2016
4 Qs
Engineering Sciences (XE) 2015
4 Qs
Engineering Sciences (XE) 2014
5 Qs
Engineering Sciences (XE) 2013
5 Qs
Engineering Sciences (XE) 2012
4 Qs
Engineering Sciences (XE) 2008
1 Qs

Browse by subtopics

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

Functions of Single Variable

Explore previous-paper coverage, trends and focused practice for Functions of Single Variable.

33 questions14 papers14 years

Sequences and Series

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

13 questions8 papers8 years

Functions of Two Variables

Explore previous-paper coverage, trends and focused practice for Functions of Two Variables.

13 questions12 papers12 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620262View paper
Engineering Sciences (XE) 202520252View paper
Engineering Sciences (XE) 202420245View paper
Engineering Sciences (XE) 202320232View paper
Engineering Sciences (XE) 202220223View paper
Engineering Sciences (XE) 202120213View paper
Engineering Sciences (XE) 202020208View paper
Engineering Sciences (XE) 201920193View paper
Engineering Sciences (XE) 201820185View paper
Engineering Sciences (XE) 201720173View paper
Engineering Sciences (XE) 201620164View paper
Engineering Sciences (XE) 201520154View paper
Engineering Sciences (XE) 201420145View paper
Engineering Sciences (XE) 201320135View paper
Engineering Sciences (XE) 201220124View paper
Engineering Sciences (XE) 200820081View paper

Sample previous year questions

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

1
2008 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2008
The value of
\[ \left( \int_{0}^{\pi/2} (\sin \theta)^{-1/4} d\theta \right) \times \left( \int_{0}^{\pi/2} (\sin \theta)^{-3/4} d\theta \right) \] is
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2
2012 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2012
If \((1.001)^{1259} = 3.52\) and \((1.001)^{2062} = 7.85\), then \((1.001)^{3321} =\)
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3
2013 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2013
Velocity of an object fired directly in upward direction is given by \( V = 80 - 32 t \), where \( t \) (time) is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?
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4
2014 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2014
If \( y = 5x^2 + 3 \), then the tangent at \( x = 0 \), \( y = 3 \)
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5
2015 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2015
If \(\log_x (5/7) = -1/3\), then the value of x is

Question diagram

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6
2016 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2016

Identify the correct spelling out of the given options:

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