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Previous year question hub

Calculus - Engineering Mathematics - Electrical Engineering Previous Year Questions

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

26Papers
19Years
94Questions
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.

Easy 66 70.2%
Medium 27 28.7%
Hard 1 1.1%

Question type distribution

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

MCQ 69 73.4%
Numerical Answer Type (NAT) 19 20.2%
MSQ 6 6.4%

Subject weightage

Top subjects by unique question coverage.

Electrical Engineering
94 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
94 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
94 Qs

Paper coverage

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

Electrical Engineering (EE) 2026
2 Qs
Electrical Engineering (EE) 2025
1 Qs
Electrical Engineering (EE) 2024
3 Qs
Electrical Engineering (EE) 2023
3 Qs
Electrical Engineering (EE) 2022
3 Qs
Electrical Engineering (EE) 2021
3 Qs
Electrical Engineering (EE) 2020
5 Qs
Electrical Engineering (EE) 2019
3 Qs
Electrical Engineering (EE) 2018
5 Qs
Electrical Engineering (EE) 2017 [Session 2]
4 Qs
Electrical Engineering (EE) 2017 [Session 1]
3 Qs
Electrical Engineering (EE) 2016 [Session 1]
2 Qs
Electrical Engineering (EE) 2016 [Session 2]
1 Qs
Electrical Engineering (EE) 2014 [Session 2]
3 Qs
Electrical Engineering (EE) 2014 [Session 1]
2 Qs
Electrical Engineering (EE) 2014 [Session 3]
1 Qs
Electrical Engineering (EE) 2013 [Session 1]
8 Qs
Electrical Engineering (EE) 2013 [Session 2]
7 Qs
Electrical Engineering (EE) 2013 [Session 3]
6 Qs
Electrical Engineering (EE) 2013 [Session 4]
6 Qs
Electrical Engineering (EE) 2012
4 Qs
Electrical Engineering (EE) 2011
6 Qs
Electrical Engineering (EE) 2010
4 Qs
Electrical Engineering (EE) 2009
4 Qs
Electrical Engineering (EE) 2008
3 Qs
Electrical Engineering (EE) 2007
2 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Electrical Engineering (EE) 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
Electrical Engineering (EE) 20252025
1 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20242024
3 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20232023
3 questions in this view		2023
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20222022
3 questions in this view		2022
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20212021
3 questions in this view		2021
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20202020
5 questions in this view		2020
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20192019
3 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20182018
5 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2017 [Session 1]2017
3 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2017 [Session 2]2017
4 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2016 [Session 1]2016
2 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2016 [Session 2]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2014 [Session 1]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2014 [Session 2]2014
3 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2014 [Session 3]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2013 [Session 1]2013
8 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2013 [Session 2]2013
7 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2013 [Session 3]2013
6 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 2013 [Session 4]2013
6 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20122012
4 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20112011
6 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20102010
4 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20092009
4 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20082008
3 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electrical Engineering (EE) 20072007
2 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Calculus previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2007
Divergence of the vector field \(V(x,y,z) = -(x \cos xy + y)\mathbf{i} + (y \cos xy)\mathbf{j} + (\sin z^2 + x^2 + y^2)\mathbf{k}\) is
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2
2007 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2007
The integral \(\frac{1}{2\pi}\int_{0}^{2\pi} \sin(t-\tau)\cos\tau d\tau\) equals
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3
2008 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2008
Consider function \( f(x) = (x^2 - 4)^2 \) where \( x \) is a real number. Then the function has
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4
2008 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2008
Equation \( e^x - 1 = 0 \) is required to be solved using Newton’s method with an initial guess \( x_0 = -1 \). Then, after one step of Newton’s method, estimate \( x_1 \) of the solution will be given by
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5
2008 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2008
A differential equation \( \frac{dx}{dt} = e^{-2t} u(t) \) has to be solved using trapezoidal rule of integration with a step size h=0.01 s. Function \( u(t) \) indicates a unit step function. If \( x(0-) = 0 \), then value of \( x \) at \( t=0.01 \) s will be given by:
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6
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009
\( f(x,y) \) is a continuous function defined over \( (x,y) \in [0,1] \times [0,1] \). Given the two constraints, \( x > y^2 \) and \( y > x^2 \), the volume under \( f(x,y) \) is
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7
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009

A cubic polynomial with real coefficients

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8
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009
Let \( x^2 - 117 = 0 \). The iterative steps for the solution using Newton-Raphson's method is given by
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9
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009
\( \mathbf{F}(x,y) = (x^2 + xy) \hat{a}_x + (y^2 + xy) \hat{a}_y \). It's line integral over the straight line from \( (x,y) = (0,2) \) to \( (x,y) = (2,0) \) evaluates to
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10
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010
The value of the quantity P, where \( P = \int_{0}^{1} x e^{x} dx \), is equal to
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11
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010
At t = 0, the function f(t) = \frac{\sin t}{t} has
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12
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

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13
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010

If 137 + 276 = 435 how much is 731 + 672?

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14
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
Solution of the variables \(x_1\) and \(x_2\) for the following equations is to be obtained by employing the Newton-Raphson iterative method.
equation (i) \(10x_2 \sin x_1 - 0.8 = 0\)
equation (ii) \(10x_2^2 - 10x_2 \cos x_1 - 0.6 = 0\)
Assuming the initial values \(x_1 = 0.0\) and \(x_2 = 1.0\), the Jacobian matrix is
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15
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
The function \(f(x) = 2x - x^2 + 3\) has
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16
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
The sum of n terms of the series 4+44+444+.... is
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17
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.
The distances covered during four laps of the journey are listed in the table below
LapDistance (kilometres)Average speed (kilometres per hour)
P1515
Q7545
R4075
S1010
From the given data, we can conclude that the fuel consumed per kilometre was least during the lap
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18
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?
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19
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
Given that f(y) = | y | / y , and q is any non-zero real number, the value of | f(q) - f(-q) | is
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20
2012 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2012
The maximum value of f(x) = x^3 - 9x^2 + 24x + 5 in the interval [1, 6] is
(A) 21
(B) 25
(C) 41
(D) 46
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Showing 20 of 87 questions