My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
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.

21Papers
16Years
73Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 63 86.3%
Medium 9 12.3%
Hard 1 1.4%

Question type distribution

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

MCQ 62 84.9%
Numerical Answer Type (NAT) 8 11%
MSQ 2 2.7%
Fill in the blanks 1 1.4%

Subject weightage

Top subjects by unique question coverage.

Civil Engineering
73 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
73 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
73 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) 2022 [Session 2]
3 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

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Civil Engineering (CE) 202620261View paper
Civil Engineering (CE) 202620263View paper
Civil Engineering (CE) 2025 [Session 1]20253View paper
Civil Engineering (CE) 2025 [Session 2]20253View paper
Civil Engineering (CE) 2024 [Session 1]20241View paper
Civil Engineering (CE) 2024 [Session 2]20242View paper
Civil Engineering (CE) 2022 [Session 2]20223View paper
Civil Engineering (CE) 2020 [Session 2]20203View paper
Civil Engineering (CE) 2019 [Session 2]20195View paper
Civil Engineering (CE) 2018 [Session 2]20182View paper
Civil Engineering (CE) 2017 [Session 2]20174View paper
Civil Engineering (CE) 2016 [Session 1]20163View paper
Civil Engineering (CE) 2016 [Session 2]20163View paper
Civil Engineering (CE) 2014 [Session 1]20146View paper
Civil Engineering (CE) 2014 [Session 2]20144View paper
Civil Engineering (CE) 201320135View paper
Civil Engineering (CE) 201220124View paper
Civil Engineering (CE) 201120116View paper
Civil Engineering (CE) 201020106View paper
Civil Engineering (CE) 200920095View paper
Civil Engineering (CE) 200820081View paper

All Calculus previous year questions

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

1
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 1]
If \( y = 5x^2 + 3 \), then the tangent at \( x = 0 \), \( y = 3 \)
Open complete paper
2
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?
Open complete paper
3
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?
Open complete paper
4
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 __________
Open complete paper
5
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
Open complete paper
6
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
Open complete paper
7
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?
Open complete paper
8
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?
Open complete paper
9
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
Open complete paper
10
2014 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2014 [Session 2]
\( z = \frac{2 - 3i}{-5 + i} \) can be expressed as
Open complete paper
11
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
Open complete paper
12
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
Open complete paper
13
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
Open complete paper
14
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
Open complete paper
15
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 ______.
Open complete paper
16
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
Open complete paper
17
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
Open complete paper
18
2017 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2017 [Session 2]
The divergence of the vector field \( \mathbf{V} = x^2 \mathbf{i} + 2 y^3 \mathbf{j} + z^4 \mathbf{k} \) at \( x = 1, y = 2, z = 3 \) is ________
Open complete paper
19
2017 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2017 [Session 2]
The tangent to the curve represented by \( y = x \ln x \) is required to have 45° inclination with the x-axis. The coordinates of the tangent point would be
Open complete paper
20
2017 · Civil Engineering · Engineering Mathematics · Calculus
Civil Engineering (CE) 2017 [Session 2]
Consider the following definite integral: \( I = \int_{0}^{1} \frac{(\sin^{-1} x)^2}{\sqrt{1-x^2}} dx \). The value of the integral is
Open complete paper

Showing 20 of 73 questions