My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Calculus - Mathematics Previous Year Questions

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

20Papers
20Years
114Questions
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.

Medium 80 70.2%
Easy 29 25.4%
Hard 5 4.4%

Question type distribution

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

MCQ 67 58.8%
Numerical Answer Type (NAT) 42 36.8%
MSQ 3 2.6%
Fill in the blanks 2 1.8%

Subject weightage

Top subjects by unique question coverage.

Mathematics
114 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
114 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Multiple Integrals and Change of Variables
49 Qs
Multivariable Differentiation and Optimization
41 Qs
Vector Calculus
24 Qs

Paper coverage

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

Mathematics (MA) 2026
5 Qs
Mathematics (MA) 2025
7 Qs
Mathematics (MA) 2024
8 Qs
Mathematics (MA) 2023
5 Qs
Mathematics (MA) 2022
5 Qs
Mathematics (MA) 2021
8 Qs
Mathematics (MA) 2020
4 Qs
Mathematics (MA) 2019
8 Qs
Mathematics (MA) 2018
5 Qs
Mathematics (MA) 2017
4 Qs
Mathematics (MA) 2016
5 Qs
Mathematics (MA) 2015
3 Qs
Mathematics (MA) 2014
4 Qs
Mathematics (MA) 2013
4 Qs
Mathematics (MA) 2012
8 Qs
Mathematics (MA) 2011
8 Qs
Mathematics (MA) 2010
5 Qs
Mathematics (MA) 2009
4 Qs
Mathematics (MA) 2008
8 Qs
Mathematics (MA) 2007
6 Qs

Browse by subtopics

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

Multiple Integrals and Change of Variables

Explore previous-paper coverage, trends and focused practice for Multiple Integrals and Change of Variables.

49 questions19 papers19 years

Multivariable Differentiation and Optimization

Explore previous-paper coverage, trends and focused practice for Multivariable Differentiation and Optimization.

41 questions17 papers17 years

Vector Calculus

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

24 questions18 papers18 years

Included previous year papers

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

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
5 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
Mathematics (MA) 20252025
7 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
Mathematics (MA) 20242024
8 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
Mathematics (MA) 20232023
5 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
Mathematics (MA) 20222022
5 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
Mathematics (MA) 20212021
8 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
Mathematics (MA) 20202020
4 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20192019
8 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20182018
5 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20172017
4 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20162016
5 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20152015
3 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20142014
4 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20132013
4 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20122012
8 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20112011
8 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20102010
5 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20092009
4 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20082008
8 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20072007
6 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

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

1
2008 · Mathematics · Calculus · Multiple Integrals and Change of Variables
Mathematics (MA) 2008
Let \(E = \{(x, y) \in \mathbb{R}^2 : 0 \leq x \leq 1, 0 \leq y \leq x\}\). Then \(\iint_E (x + y) \, dx \, dy\) is equal to
Open complete paper
2
2009 · Mathematics · Calculus · Multiple Integrals and Change of Variables
Mathematics (MA) 2009
Let \(E = \{(x, y) \in \mathbb{R}^2 : 0 < x < y\}\). Then \(\iint_E y e^{-(x+y)} dx dy =\)
Open complete paper
3
2010 · Mathematics · Calculus · Multivariable Differentiation and Optimization
Mathematics (MA) 2010
Let \( f(x,y) = \begin{cases} \frac{xy}{(x^2+y^2)^{3/2}} [1-\cos(x^2+y^2)], & (x,y) \neq (0,0) \\ k, & (x,y) = (0,0) \end{cases} \) Then the value of \( k \) for which \( f(x,y) \) is continuous at \( (0,0) \) is
Open complete paper
4
2011 · Mathematics · Calculus · Vector Calculus
Mathematics (MA) 2011
Let \(I = \oint_C (2x^2 + y^2) dx + e^y dy\), where \(C\) is the boundary (oriented anticlockwise) of the region in the first quadrant bounded by \(y=0\), \(x^2+y^2=1\) and \(x=0\). The value of \(I\) is
Open complete paper
5
2012 · Mathematics · Calculus · Multiple Integrals and Change of Variables
Mathematics (MA) 2012
A continuous random variable \(X\) has the probability density function
\[ f(x) = \begin{cases} rac{3}{5} e^{-\frac{3x}{5}}, & x > 0 \\ 0, & x \leq 0 \end{cases} \]
The probability density function of \(Y = 3X + 2\) is
Open complete paper
6
2013 · Mathematics · Calculus · Multiple Integrals and Change of Variables
Mathematics (MA) 2013
Let \(f: \mathbb{R} \to \mathbb{R}\) be a continuous function with \(f(1) = 5\) and \(f(3) = 11\). If \(g(x) = \int_1^3 f(x + t) dt\) then \(g'(0)\) is equal to ______
Open complete paper