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Previous year question hub

Functional Analysis - Mathematics Previous Year Questions

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

20Papers
20Years
88Questions
1Topics

Functional Analysis 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 72 81.8%
Hard 9 10.2%
Easy 7 8%

Question type distribution

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

MCQ 66 75%
Numerical Answer Type (NAT) 15 17%
MSQ 7 8%

Subject weightage

Top subjects by unique question coverage.

Mathematics
88 Qs

Most asked topics

Top topics across the included previous year papers.

Functional Analysis
88 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Normed Spaces, Banach Spaces and Operators
60 Qs
Hilbert Spaces and Spectral Theory
28 Qs

Paper coverage

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

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

Browse by subtopics

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

Normed Spaces, Banach Spaces and Operators

Explore previous-paper coverage, trends and focused practice for Normed Spaces, Banach Spaces and Operators.

60 questions19 papers19 years

Hilbert Spaces and Spectral Theory

Explore previous-paper coverage, trends and focused practice for Hilbert Spaces and Spectral Theory.

28 questions16 papers16 years

Included previous year papers

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

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
6 questions in this view		2026
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20252025
4 questions in this view		2025
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20242024
4 questions in this view		2024
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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
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20222022
6 questions in this view		2022
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20212021
5 questions in this view		2021
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20202020
5 questions in this view		2020
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20192019
5 questions in this view		2019
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20182018
3 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20172017
3 questions in this view		2017
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20162016
3 questions in this view		2016
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Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20152015
1 questions in this view		2015
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20142014
4 questions in this view		2014
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20132013
3 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20122012
3 questions in this view		2012
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20112011
5 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20102010
5 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20092009
5 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20082008
9 questions in this view		2008
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20072007
4 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 · Functional Analysis · Normed Spaces, Banach Spaces and Operators
Mathematics (MA) 2008
For \(1 \leq p \leq \infty\), let \(\| \|_p\) denote the \(p\)-norm on \(\mathbb{R}^2\). If \(\| \|_p\) satisfies the parallelogram law, then \(p\) is equal to
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2
2009 · Mathematics · Functional Analysis · Normed Spaces, Banach Spaces and Operators
Mathematics (MA) 2009
Consider the metrics d1(f,g) = (∫ab |f(t) – g(t)|2 dt)1/2 and d∞(f,g) = supt∈[a,b] |f(t) – g(t)| on the space X = C[a,b] of all real valued continuous functions on [a,b]. Then which of the following is TRUE?
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3
2010 · Mathematics · Functional Analysis · Hilbert Spaces and Spectral Theory
Mathematics (MA) 2010
Which one of the following sets of functions is NOT orthogonal (with respect to the \( L^2 \)-inner product) over the given interval?
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4
2011 · Mathematics · Functional Analysis · Normed Spaces, Banach Spaces and Operators
Mathematics (MA) 2011
Let \( x = (x_1, x_2, \ldots) \in l^4, x \neq 0. \) For which one of the following values of \( p, \) the series \( \sum_{i=1}^{\infty} x_i y_i \) converges for every \( y = (y_1, y_2, \ldots) \in l^p \)?
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5
2012 · Mathematics · Functional Analysis · Hilbert Spaces and Spectral Theory
Mathematics (MA) 2012
Let \(H\) be a Hilbert space and \(S^{\perp}\) denote the orthogonal complement of a set \(S \subseteq H\). Which of the following is INCORRECT?
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6
2013 · Mathematics · Functional Analysis · Hilbert Spaces and Spectral Theory
Mathematics (MA) 2013
Let \(\mathcal{H}\) be a Hilbert space and let \(\{e_n : n \ge 1\}\) be an orthonormal basis of \(\mathcal{H}\). Suppose \(T: \mathcal{H} \to \mathcal{H}\) is a bounded linear operator. Which of the following CANNOT be true?
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