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Previous year question hub

Mathematics Previous Year Questions

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

10Papers
10Years
26Questions
10Topics

Mathematics question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 23 88.5%
Hard 3 11.5%

Question type distribution

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

MCQ 14 53.8%
MSQ 10 38.5%
Numerical Answer Type (NAT) 2 7.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
26 Qs

Most asked topics

Top topics across the included previous year papers.

Linear Algebra
8 Qs
Real Analysis
4 Qs
Algebra
4 Qs
Ordinary Differential Equations
2 Qs
Topology
2 Qs
Partial Differential Equations
2 Qs
Complex Analysis
1 Qs
Calculus
1 Qs
Numerical Analysis
1 Qs
Functional Analysis
1 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Eigenvalues and Canonical Forms
4 Qs
Vector Spaces and Linear Transformations
3 Qs
Lebesgue Measure and Integration
2 Qs
Topological Spaces and Constructions
2 Qs
Group Theory
2 Qs
Existence, Uniqueness and Linear Equations
1 Qs
Metric Spaces and Continuity
1 Qs
Functions of a complex variable
1 Qs
Multiple Integrals and Change of Variables
1 Qs
Fields and Field Extensions
1 Qs
Numerical Solutions of Nonlinear Equations
1 Qs
Inner Products and Quadratic Forms
1 Qs
Normed Spaces, Banach Spaces and Operators
1 Qs
Rings and Polynomial Domains
1 Qs
Characteristics and PDE Classification
1 Qs
Function Sequences and Uniform Convergence
1 Qs
Sturm-Liouville Problems and Special Functions
1 Qs
Heat, Wave and Laplace Equations
1 Qs

Paper coverage

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

Mathematics (MA) 2026
1 Qs
Mathematics (MA) 2021
2 Qs
Mathematics (MA) 2020
1 Qs
Mathematics (MA) 2019
2 Qs
Mathematics (MA) 2013
1 Qs
Mathematics (MA) 2012
1 Qs
Mathematics (MA) 2011
4 Qs
Mathematics (MA) 2010
5 Qs
Mathematics (MA) 2008
5 Qs
Mathematics (MA) 2007
4 Qs

Browse by topics

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

Linear Algebra

Explore previous-paper coverage, trends and focused practice for Linear Algebra.

8 questions7 papers7 years

Real Analysis

Explore previous-paper coverage, trends and focused practice for Real Analysis.

4 questions3 papers3 years

Algebra

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

4 questions4 papers4 years

Ordinary Differential Equations

Explore previous-paper coverage, trends and focused practice for Ordinary Differential Equations.

2 questions2 papers2 years

Topology

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

2 questions1 papers1 years

Partial Differential Equations

Explore previous-paper coverage, trends and focused practice for Partial Differential Equations.

2 questions2 papers2 years

Complex Analysis

Explore previous-paper coverage, trends and focused practice for Complex Analysis.

1 questions1 papers1 years

Calculus

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

1 questions1 papers1 years

Numerical Analysis

Explore previous-paper coverage, trends and focused practice for Numerical Analysis.

1 questions1 papers1 years

Functional Analysis

Explore previous-paper coverage, trends and focused practice for Functional Analysis.

1 questions1 papers1 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Mathematics (MA) 202620261View paper
Mathematics (MA) 202120212View paper
Mathematics (MA) 202020201View paper
Mathematics (MA) 201920192View paper
Mathematics (MA) 201320131View paper
Mathematics (MA) 201220121View paper
Mathematics (MA) 201120114View paper
Mathematics (MA) 201020105View paper
Mathematics (MA) 200820085View paper
Mathematics (MA) 200720074View paper

Sample previous year questions

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

1
2008 · Mathematics · Ordinary Differential Equations · Existence, Uniqueness and Linear Equations
Mathematics (MA) 2008
Let \(y\) be a solution of \(y' = e^{-y^2} - 1\) on \([0, 1]\) which satisfies \(y(0) = 0\). Then
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2
2010 · Mathematics · Linear Algebra · Eigenvalues and Canonical Forms
Mathematics (MA) 2010
If a \( 3 \times 3 \) real skew-symmetric matrix has an eigenvalue \( 2i \), then one of the remaining eigenvalues is
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3
2011 · Mathematics · Numerical Analysis · Numerical Solutions of Nonlinear Equations
Mathematics (MA) 2011
While solving the equation \(x^2 - 3x + 1 = 0\) using the Newton-Raphson method with the initial guess of a root as 1, the value of the root after one iteration is
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4
2012 · Mathematics · Functional Analysis · Normed Spaces, Banach Spaces and Operators
Mathematics (MA) 2012
Consider the statements
P: If \(X\) is a normed linear space and \(M \subseteq X\) is a subspace, then the closure \(\overline{M}\) is also a subspace of \(X\).
Q: If \(X\) is a Banach space and \(\sum x_n\) is an absolutely convergent series in \(X\), then \(\sum x_n\) is convergent.
R: Let \(M_1\) and \(M_2\) be subspaces of an inner product space such that \(M_1 \cap M_2 = \{0\}\). Then \(\forall m_1 \in M_1, m_2 \in M_2 ; \|m_1 + m_2\|^2 = \|m_1\|^2 + \|m_2\|^2\).
S: Let \(f : X \to Y\) be a linear transformation from the Banach Space \(X\) into the Banach space \(Y\). If \(f\) is continuous, then the graph of \(f\) is always compact.
The correct statements amongst the above are:
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5
2013 · Mathematics · Algebra · Group Theory
Mathematics (MA) 2013

Which of the following groups has a proper subgroup that is NOT cyclic?

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6
2019 · Mathematics · Algebra · Rings and Polynomial Domains
Mathematics (MA) 2019
Consider the following statements: I. The ring \(\mathbb{Z}[\sqrt{-1}]\) is a unique factorization domain. II. The ring \(\mathbb{Z}[\sqrt{-5}]\) is a principal ideal domain. III. In the polynomial ring \(\mathbb{Z}_3[x]\), the ideal generated by \(x^3 + x + 1\) is a maximal ideal. IV. In the polynomial ring \(\mathbb{Z}_2[x]\), the ideal generated by \(x^3 + 1\) is a prime ideal. ( \(\mathbb{Z}\) denotes the set of all integers, \(\mathbb{Z}_n\) denotes the set of all integers modulo \(n\), for any positive integer \(n\) ) Which of the above statements are TRUE?
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