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Previous year question hub

Engineering Mathematics - Mechanical Engineering Previous Year Questions

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

30Papers
17Years
279Questions
1Topics

Engineering Mathematics question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 237 84.9%
Medium 41 14.7%
Hard 1 0.4%

Question type distribution

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

MCQ 224 80.3%
Numerical Answer Type (NAT) 51 18.3%
MSQ 2 0.7%
Fill in the blanks 2 0.7%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
279 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
279 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
92 Qs
Probability and Statistics
52 Qs
Linear Algebra
48 Qs
Differential Equations
38 Qs
Complex Variables
26 Qs
Numerical Methods
23 Qs

Paper coverage

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

Mechanical Engineering (ME) 2026
8 Qs
Mechanical Engineering (ME) 2025
9 Qs
Mechanical Engineering (ME) 2024
9 Qs
Mechanical Engineering (ME) 2023
9 Qs
Mechanical Engineering (ME) 2021 [Session 1]
9 Qs
Mechanical Engineering (ME) 2020 [Session 1]
12 Qs
Mechanical Engineering (ME) 2020 [Session 2]
9 Qs
Mechanical Engineering (ME) 2019 [Session 1]
9 Qs
Mechanical Engineering (ME) 2019 [Session 2]
6 Qs
Mechanical Engineering (ME) 2018 [Session 1]
10 Qs
Mechanical Engineering (ME) 2018 [Session 2]
7 Qs
Mechanical Engineering (ME) 2016 [Session 2]
8 Qs
Mechanical Engineering (ME) 2016 [Session 3]
8 Qs
Mechanical Engineering (ME) 2016 [Session 1]
7 Qs
Mechanical Engineering (ME) 2015 [Session 2]
3 Qs
Mechanical Engineering (ME) 2015 [Session 3]
2 Qs
Mechanical Engineering (ME) 2015 [Session 1]
1 Qs
Mechanical Engineering (ME) 2014 [Session 1]
9 Qs
Mechanical Engineering (ME) 2014 [Session 3]
9 Qs
Mechanical Engineering (ME) 2014 [Session 4]
9 Qs
Mechanical Engineering (ME) 2014 [Session 2]
4 Qs
Mechanical Engineering (ME) 2013 [Session 1]
15 Qs
Mechanical Engineering (ME) 2013 [Session 3]
15 Qs
Mechanical Engineering (ME) 2013 [Session 2]
13 Qs
Mechanical Engineering (ME) 2013 [Session 4]
13 Qs
Mechanical Engineering (ME) 2011
15 Qs
Mechanical Engineering (ME) 2010
12 Qs
Mechanical Engineering (ME) 2009
11 Qs
Mechanical Engineering (ME) 2008
16 Qs
Mechanical Engineering (ME) 2007
12 Qs

Browse by subtopics

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

Calculus

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

92 questions27 papers17 years

Probability and Statistics

Explore previous-paper coverage, trends and focused practice for Probability and Statistics.

52 questions28 papers17 years

Linear Algebra

Explore previous-paper coverage, trends and focused practice for Linear Algebra.

48 questions26 papers16 years

Differential Equations

Explore previous-paper coverage, trends and focused practice for Differential Equations.

38 questions22 papers15 years

Complex Variables

Explore previous-paper coverage, trends and focused practice for Complex Variables.

26 questions22 papers15 years

Numerical Methods

Explore previous-paper coverage, trends and focused practice for Numerical Methods.

23 questions20 papers14 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Mechanical Engineering (ME) 202620268View paper
Mechanical Engineering (ME) 202520259View paper
Mechanical Engineering (ME) 202420249View paper
Mechanical Engineering (ME) 202320239View paper
Mechanical Engineering (ME) 2021 [Session 1]20219View paper
Mechanical Engineering (ME) 2020 [Session 1]202012View paper
Mechanical Engineering (ME) 2020 [Session 2]20209View paper
Mechanical Engineering (ME) 2019 [Session 1]20199View paper
Mechanical Engineering (ME) 2019 [Session 2]20196View paper
Mechanical Engineering (ME) 2018 [Session 1]201810View paper
Mechanical Engineering (ME) 2018 [Session 2]20187View paper
Mechanical Engineering (ME) 2016 [Session 1]20167View paper
Mechanical Engineering (ME) 2016 [Session 2]20168View paper
Mechanical Engineering (ME) 2016 [Session 3]20168View paper
Mechanical Engineering (ME) 2015 [Session 1]20151View paper
Mechanical Engineering (ME) 2015 [Session 2]20153View paper
Mechanical Engineering (ME) 2015 [Session 3]20152View paper
Mechanical Engineering (ME) 2014 [Session 1]20149View paper
Mechanical Engineering (ME) 2014 [Session 2]20144View paper
Mechanical Engineering (ME) 2014 [Session 3]20149View paper
Mechanical Engineering (ME) 2014 [Session 4]20149View paper
Mechanical Engineering (ME) 2013 [Session 1]201315View paper
Mechanical Engineering (ME) 2013 [Session 2]201313View paper
Mechanical Engineering (ME) 2013 [Session 3]201315View paper
Mechanical Engineering (ME) 2013 [Session 4]201313View paper
Mechanical Engineering (ME) 2011201115View paper
Mechanical Engineering (ME) 2010201012View paper
Mechanical Engineering (ME) 2009200911View paper
Mechanical Engineering (ME) 2008200816View paper
Mechanical Engineering (ME) 2007200712View paper

Sample previous year questions

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

1
2007 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2007
The minimum value of function \( y = x^2 \) in the interval \( [1,5] \) is
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2
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
In the Taylor series expansion of \(e^x\) about \(x = 2\), the coefficient of \((x-2)^4\) is
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3
2009 · Mechanical Engineering · Engineering Mathematics · Linear Algebra
Mechanical Engineering (ME) 2009
For a matrix \( M = \begin{bmatrix} \frac{3}{5} & \frac{4}{5} \\ x & \frac{3}{5} \end{bmatrix} \), the transpose of the matrix is equal to the inverse of the matrix, \( [M]^T = [M]^{-1} \). The value of \( x \) is given by
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4
2010 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2010
The parabolic arc \( y = \sqrt{x} \), \( 1 \le x \le 2 \) is revolved around the x-axis. The volume of the solid of revolution is
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5
2011 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2011
A series expansion for the function \(\sin \theta\) is
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6
2013 · Mechanical Engineering · Engineering Mathematics · Differential Equations
Mechanical Engineering (ME) 2013 [Session 1]
The partial differential equation \(\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} = \frac{\partial^2 u}{\partial x^2}\) is a
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