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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.

31Papers
18Years
290Questions
1Topics

Engineering Mathematics 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.

Easy 246 84.8%
Medium 43 14.8%
Hard 1 0.3%

Question type distribution

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

MCQ 227 78.3%
Numerical Answer Type (NAT) 59 20.3%
MSQ 2 0.7%
Fill in the blanks 2 0.7%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
290 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
290 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
95 Qs
Probability and Statistics
55 Qs
Linear Algebra
51 Qs
Differential Equations
39 Qs
Complex Variables
27 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) 2017 [Session 2]
11 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.

Included previous year papers

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

Paper nameYearPDFAttempt
Mechanical Engineering (ME) 20262026
8 questions in this view
2026
Mechanical Engineering (ME) 20252025
9 questions in this view
2025
Mechanical Engineering (ME) 20242024
9 questions in this view
2024
Mechanical Engineering (ME) 20232023
9 questions in this view
2023
Mechanical Engineering (ME) 2021 [Session 1]2021
9 questions in this view
2021
Mechanical Engineering (ME) 2020 [Session 1]2020
12 questions in this view
2020
Mechanical Engineering (ME) 2020 [Session 2]2020
9 questions in this view
2020
Mechanical Engineering (ME) 2019 [Session 1]2019
9 questions in this view
2019
Mechanical Engineering (ME) 2019 [Session 2]2019
6 questions in this view
2019
Mechanical Engineering (ME) 2018 [Session 1]2018
10 questions in this view
2018
Mechanical Engineering (ME) 2018 [Session 2]2018
7 questions in this view
2018
Mechanical Engineering (ME) 2017 [Session 2]2017
11 questions in this view
2017
Mechanical Engineering (ME) 2016 [Session 1]2016
7 questions in this view
2016
Mechanical Engineering (ME) 2016 [Session 2]2016
8 questions in this view
2016
Mechanical Engineering (ME) 2016 [Session 3]2016
8 questions in this view
2016
Mechanical Engineering (ME) 2015 [Session 1]2015
1 questions in this view
2015
Mechanical Engineering (ME) 2015 [Session 2]2015
3 questions in this view
2015
Mechanical Engineering (ME) 2015 [Session 3]2015
2 questions in this view
2015
Mechanical Engineering (ME) 2014 [Session 1]2014
9 questions in this view
2014
Mechanical Engineering (ME) 2014 [Session 2]2014
4 questions in this view
2014
Mechanical Engineering (ME) 2014 [Session 3]2014
9 questions in this view
2014
Mechanical Engineering (ME) 2014 [Session 4]2014
9 questions in this view
2014
Mechanical Engineering (ME) 2013 [Session 1]2013
15 questions in this view
2013
Mechanical Engineering (ME) 2013 [Session 2]2013
13 questions in this view
2013
Mechanical Engineering (ME) 2013 [Session 3]2013
15 questions in this view
2013
Mechanical Engineering (ME) 2013 [Session 4]2013
13 questions in this view
2013
Mechanical Engineering (ME) 20112011
15 questions in this view
2011
Mechanical Engineering (ME) 20102010
12 questions in this view
2010
Mechanical Engineering (ME) 20092009
11 questions in this view
2009
Mechanical Engineering (ME) 20082008
16 questions in this view
2008
Mechanical Engineering (ME) 20072007
12 questions in this view
2007

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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