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Previous year question hub

Calculus - Engineering Mathematics - Civil Engineering Previous Year Questions

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

24Papers
19Years
82Questions
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 71 86.6%
Medium 10 12.2%
Hard 1 1.2%

Question type distribution

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

MCQ 68 82.9%
Numerical Answer Type (NAT) 11 13.4%
MSQ 2 2.4%
Fill in the blanks 1 1.2%

Subject weightage

Top subjects by unique question coverage.

Civil Engineering
82 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
82 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
82 Qs

Paper coverage

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

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

Included previous year papers

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

Paper nameYearPDFAttempt
Civil Engineering (CE) 20262026
1 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
Civil Engineering (CE) 20262026
3 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
Civil Engineering (CE) 2025 [Session 1]2025
3 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
Civil Engineering (CE) 2025 [Session 2]2025
3 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
Civil Engineering (CE) 2024 [Session 1]2024
1 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
Civil Engineering (CE) 2024 [Session 2]2024
2 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
Civil Engineering (CE) 2023 [Session 2]2023
1 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
Civil Engineering (CE) 2022 [Session 2]2022
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
Civil Engineering (CE) 2021 [Session 2]2021
5 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
Civil Engineering (CE) 2020 [Session 2]2020
3 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2019 [Session 2]2019
5 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2018 [Session 2]2018
2 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2017 [Session 2]2017
4 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2016 [Session 1]2016
3 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2016 [Session 2]2016
3 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2014 [Session 1]2014
6 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2014 [Session 2]2014
4 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20132013
5 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20122012
4 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20112011
6 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20102010
6 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20092009
5 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20082008
1 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20072007
3 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 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2007
A velocity vector is given as \(\vec{V} = 5xy\hat{i} + 2y^2\hat{j} + 3yz^2\hat{k}\). The divergence of this velocity vector at (1,1,1) is
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2
2007 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2007
Evaluate \(\int_{0}^{\infty} \frac{\sin t}{t} dt\)
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3
2007 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2007
Given that one root of the equation \(x^3 - 10x^2 + 31x - 30 = 0\) is 5, the other two roots are
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4
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
If \( y = 5x^2 + 3 \), then the tangent at \( x = 0 \), \( y = 3 \)
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5
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?
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6
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
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7
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
A particle moves along a curve whose parametric equations are: \(x = t^3 + 2t\), \(y = -3e^{-2t}\) and \(z = 2\sin(5t)\), where \(x\), \(y\) and \(z\) show variations of the distance covered by the particle (in cm) with time \(t\) (in s). The magnitude of the acceleration of the particle (in cm/s²) at \(t = 0\) is __________
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8
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
\(\lim_{x\to\infty}\left(\frac{x+\sin x}{x}\right)\) equals to
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9
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
With reference to the conventional Cartesian \((x, y)\) coordinate system, the vertices of a triangle have the following coordinates: \((x_1, y_1) = (1, 0)\); \((x_2, y_2) = (2, 2)\); and \((x_3, y_3) = (4, 3)\). The area of the triangle is equal to
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10
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 2]
The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate?
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11
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 2]
X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?
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12
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 2]
The expression \(\lim_{\alpha \to 0} \frac{x^{\alpha}-1}{\alpha}\) is equal to
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13
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 2]
\( z = \frac{2 - 3i}{-5 + i} \) can be expressed as
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14
2016 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2016 [Session 1]
The value of \[ \int_0^{\infty} \frac{1}{1+x^2} dx + \int_0^{\infty} \frac{\sin x}{x} dx \] is
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15
2016 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2016 [Session 1]
The area of the region bounded by the parabola y = x2 + 1 and the straight line x + y = 3 is
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16
2016 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2016 [Session 1]
The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as shown in the figure.

The respective values of the magnitude (in kN) and the direction (with respect to the x-axis) of the resultant vector are
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17
2016 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2016 [Session 2]
The angle of intersection of the curves \(x^2 = 4y\) and \(y^2 = 4x\) at point (0, 0) is
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18
2016 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2016 [Session 2]
The area between the parabola \(x^2 = 8y\) and the straight line \(y = 8\) is ______.
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19
2016 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2016 [Session 2]
The quadratic approximation of \(f(x) = x^3 - 3x^2 - 5\) at the point \(x = 0\) is
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20
2017 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2017 [Session 2]
Let \(w = f(x, y)\), where \(x\) and \(y\) are functions of \(t\). Then, according to the chain rule, \(\frac{dw}{dt}\) is equal to
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Showing 20 of 82 questions