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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.

20Papers
20Years
85Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 44 51.8%
Easy 39 45.9%
Hard 2 2.4%

Question type distribution

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

MCQ 69 81.2%
Numerical Answer Type (NAT) 16 18.8%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
85 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
85 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Functions of Single Variable
47 Qs
Sequences and Series
20 Qs
Functions of Two Variables
18 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) 2011
4 Qs
Engineering Sciences (XE) 2010
4 Qs
Engineering Sciences (XE) 2009
2 Qs
Engineering Sciences (XE) 2008
8 Qs
Engineering Sciences (XE) 2007
9 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.

47 questions18 papers18 years

Sequences and Series

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

20 questions12 papers12 years

Functions of Two Variables

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

18 questions15 papers15 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Engineering Sciences (XE) 20262026
2 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20252025
2 questions in this view		2025
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20242024
5 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20232023
2 questions in this view		2023
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20222022
3 questions in this view		2022
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20212021
3 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20202020
8 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20192019
3 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20182018
5 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20172017
3 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20162016
4 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20152015
4 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20142014
5 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20132013
5 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20122012
4 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20112011
4 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20102010
4 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20092009
2 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20082008
8 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20072007
9 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

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

1
2007 · Engineering Sciences · Calculus · Functions of Two Variables
Engineering Sciences (XE) 2007
The maximum value of the function \( 2x + 3y + 4z \) on the ellipsoid \( 2x^2 + 3y^2 + 4z^2 = 1 \) is
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2
2008 · Engineering Sciences · Calculus · Functions of Two Variables
Engineering Sciences (XE) 2008
\(\lim_{(x,y) \to (0,0)} \frac{x^4 + xy}{x^3 - y^3}\) is
Open complete paper
3
2009 · Engineering Sciences · Calculus · Sequences and Series
Engineering Sciences (XE) 2009
The infinite series \(\sum_{n=1}^{\infty} \frac{(-1)^{n} x^{2}}{(1+x^{2})^{n}}\) is
Open complete paper
4
2010 · Engineering Sciences · Calculus · Functions of Single Variable
Engineering Sciences (XE) 2010
Which of the following options is the closest in meaning to the word below:
Circuitous
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5
2011 · Engineering Sciences · Calculus · Sequences and Series
Engineering Sciences (XE) 2011
The sum of n terms of the series 4+44+444+.... is
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6
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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