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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.

20Papers
20Years
1,169Questions
11Topics

Mathematics 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 780 66.7%
Easy 308 26.3%
Hard 81 6.9%

Question type distribution

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

MCQ 792 67.8%
Numerical Answer Type (NAT) 290 24.8%
MSQ 75 6.4%
Fill in the blanks 12 1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
1169 Qs

Most asked topics

Top topics across the included previous year papers.

Real Analysis
168 Qs
Algebra
152 Qs
Linear Algebra
128 Qs
Calculus
114 Qs
Ordinary Differential Equations
113 Qs
Complex Analysis
106 Qs
Functional Analysis
88 Qs
Topology
85 Qs
Numerical Analysis
75 Qs
Linear Programming
73 Qs
Partial Differential Equations
67 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Lebesgue Measure and Integration
80 Qs
Functions of a complex variable
72 Qs
Existence, Uniqueness and Linear Equations
66 Qs
Group Theory
63 Qs
Normed Spaces, Banach Spaces and Operators
60 Qs
Eigenvalues and Canonical Forms
57 Qs
Rings and Polynomial Domains
51 Qs
Function Sequences and Uniform Convergence
51 Qs
Topological Spaces and Constructions
50 Qs
Vector Spaces and Linear Transformations
49 Qs
Multiple Integrals and Change of Variables
49 Qs
Multivariable Differentiation and Optimization
41 Qs
Fields and Field Extensions
38 Qs
Heat, Wave and Laplace Equations
38 Qs
Metric Spaces and Continuity
36 Qs
Complex integration
34 Qs
Linear Programming and Simplex Methods
34 Qs
Connectedness and Compactness
33 Qs
Characteristics and PDE Classification
29 Qs
Hilbert Spaces and Spectral Theory
28 Qs
Vector Calculus
24 Qs
Inner Products and Quadratic Forms
22 Qs
Duality
21 Qs
Numerical differentiation and error, Numerical integration
20 Qs
Sturm-Liouville Problems and Special Functions
20 Qs
Laplace Transforms and Series Solutions
20 Qs
Interpolation
19 Qs
Transportation and Assignment Problems
18 Qs
Numerical Solutions of Nonlinear Equations
16 Qs
Numerical solution of initial value problems for ordinary differential equations
12 Qs
Systems of linear equations
8 Qs
Autonomous Systems and Stability
7 Qs
Countability, Separation and Extension Theorems
2 Qs
Multivariable Differentiation Theorems
1 Qs

Paper coverage

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

Mathematics (MA) 2026
55 Qs
Mathematics (MA) 2025
55 Qs
Mathematics (MA) 2024
55 Qs
Mathematics (MA) 2023
55 Qs
Mathematics (MA) 2022
55 Qs
Mathematics (MA) 2021
55 Qs
Mathematics (MA) 2020
54 Qs
Mathematics (MA) 2019
55 Qs
Mathematics (MA) 2018
55 Qs
Mathematics (MA) 2017
55 Qs
Mathematics (MA) 2016
55 Qs
Mathematics (MA) 2015
21 Qs
Mathematics (MA) 2014
55 Qs
Mathematics (MA) 2013
65 Qs
Mathematics (MA) 2012
65 Qs
Mathematics (MA) 2011
65 Qs
Mathematics (MA) 2010
65 Qs
Mathematics (MA) 2009
60 Qs
Mathematics (MA) 2008
85 Qs
Mathematics (MA) 2007
84 Qs

Browse by topics

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

Included previous year papers

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

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
55 questions in this view
2026
Mathematics (MA) 20252025
55 questions in this view
2025
Mathematics (MA) 20242024
55 questions in this view
2024
Mathematics (MA) 20232023
55 questions in this view
2023
Mathematics (MA) 20222022
55 questions in this view
2022
Mathematics (MA) 20212021
55 questions in this view
2021
Mathematics (MA) 20202020
54 questions in this view
2020
Mathematics (MA) 20192019
55 questions in this view
2019
Mathematics (MA) 20182018
55 questions in this view
2018
Mathematics (MA) 20172017
55 questions in this view
2017
Mathematics (MA) 20162016
55 questions in this view
2016
Mathematics (MA) 20152015
21 questions in this view
2015
Mathematics (MA) 20142014
55 questions in this view
2014
Mathematics (MA) 20132013
65 questions in this view
2013
Mathematics (MA) 20122012
65 questions in this view
2012
Mathematics (MA) 20112011
65 questions in this view
2011
Mathematics (MA) 20102010
65 questions in this view
2010
Mathematics (MA) 20092009
60 questions in this view
2009
Mathematics (MA) 20082008
85 questions in this view
2008
Mathematics (MA) 20072007
84 questions in this view
2007

Sample previous year questions

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

1
2008 · Mathematics · Linear Algebra · Vector Spaces and Linear Transformations
Mathematics (MA) 2008
Consider the subspace \( W = \{[a_{ij}] : a_{ij} = 0 \text{ if } i \text{ is even}\} \) of all \(10 \times 10\) real matrices. Then the dimension of \(W\) is
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2
2009 · Mathematics · Linear Algebra · Vector Spaces and Linear Transformations
Mathematics (MA) 2009
The dimension of the vector space V = {A = (aij)n×n : aij ∈ ℂ, aij = –aji} over the field ℝ is
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3
2010 · Mathematics · Algebra · Fields and Field Extensions
Mathematics (MA) 2010
Let \( E \) and \( F \) be any two events with \( P(E \cup F) = 0.8, P(E) = 0.4 \) and \( P(E|F) = 0.3 \). Then \( P(F) \) is
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4
2011 · Mathematics · Linear Algebra · Eigenvalues and Canonical Forms
Mathematics (MA) 2011
The distinct eigenvalues of the matrix \[\begin{bmatrix} 1 & 1 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 0 \end{bmatrix}\] are
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5
2012 · Mathematics · Complex Analysis · Functions of a complex variable
Mathematics (MA) 2012
The straight lines \(L_1 : x = 0\), \(L_2 : y = 0\) and \(L_3 : x + y = 1\) are mapped by the transformation \(w = z^2\) into the curves \(C_1, C_2\) and \(C_3\) respectively. The angle of intersection between the curves at \(w = 0\) is
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6
2013 · Mathematics · Linear Algebra · Eigenvalues and Canonical Forms
Mathematics (MA) 2013
The possible set of eigen values of a \(4\times 4\) skew-symmetric orthogonal real matrix is
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