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Previous year question hub

Topology - Mathematics Previous Year Questions

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

19Papers
19Years
85Questions
1Topics

Topology 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 63 74.1%
Easy 15 17.6%
Hard 7 8.2%

Question type distribution

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

MCQ 71 83.5%
MSQ 10 11.8%
Numerical Answer Type (NAT) 3 3.5%
Fill in the blanks 1 1.2%

Subject weightage

Top subjects by unique question coverage.

Mathematics
85 Qs

Most asked topics

Top topics across the included previous year papers.

Topology
85 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Topological Spaces and Constructions
50 Qs
Connectedness and Compactness
33 Qs
Countability, Separation and Extension Theorems
2 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
6 Qs
Mathematics (MA) 2024
5 Qs
Mathematics (MA) 2023
4 Qs
Mathematics (MA) 2022
6 Qs
Mathematics (MA) 2021
5 Qs
Mathematics (MA) 2020
6 Qs
Mathematics (MA) 2019
3 Qs
Mathematics (MA) 2018
4 Qs
Mathematics (MA) 2017
3 Qs
Mathematics (MA) 2016
2 Qs
Mathematics (MA) 2014
4 Qs
Mathematics (MA) 2013
5 Qs
Mathematics (MA) 2012
3 Qs
Mathematics (MA) 2011
4 Qs
Mathematics (MA) 2010
4 Qs
Mathematics (MA) 2009
3 Qs
Mathematics (MA) 2008
4 Qs
Mathematics (MA) 2007
8 Qs

Browse by subtopics

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
6 questions in this view
2026
Mathematics (MA) 20252025
6 questions in this view
2025
Mathematics (MA) 20242024
5 questions in this view
2024
Mathematics (MA) 20232023
4 questions in this view
2023
Mathematics (MA) 20222022
6 questions in this view
2022
Mathematics (MA) 20212021
5 questions in this view
2021
Mathematics (MA) 20202020
6 questions in this view
2020
Mathematics (MA) 20192019
3 questions in this view
2019
Mathematics (MA) 20182018
4 questions in this view
2018
Mathematics (MA) 20172017
3 questions in this view
2017
Mathematics (MA) 20162016
2 questions in this view
2016
Mathematics (MA) 20142014
4 questions in this view
2014
Mathematics (MA) 20132013
5 questions in this view
2013
Mathematics (MA) 20122012
3 questions in this view
2012
Mathematics (MA) 20112011
4 questions in this view
2011
Mathematics (MA) 20102010
4 questions in this view
2010
Mathematics (MA) 20092009
3 questions in this view
2009
Mathematics (MA) 20082008
4 questions in this view
2008
Mathematics (MA) 20072007
8 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 · Topology · Topological Spaces and Constructions
Mathematics (MA) 2008
Let \(X\) be a non-empty set. Let \(\mathcal{T}_1\) and \(\mathcal{T}_2\) be two topologies on \(X\) such that \(\mathcal{T}_1\) is strictly contained in \(\mathcal{T}_2\). If \(I : (X, \mathcal{T}_2) \to (X, \mathcal{T}_1)\) is the identity map, then
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2
2009 · Mathematics · Topology · Connectedness and Compactness
Mathematics (MA) 2009
The subspace \(\mathbb{Q} \times [0, 1]\) of \(\mathbb{R}^2\) (with the usual topology) is
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3
2010 · Mathematics · Topology · Topological Spaces and Constructions
Mathematics (MA) 2010
Let \( X = \mathbb{R} \) equipped with the topology generated by open intervals of the form \( (a, b) \) and sets of the form \( (a, b) \cap \mathbb{Q} \). Then which one of the following statements is correct?
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4
2011 · Mathematics · Topology · Connectedness and Compactness
Mathematics (MA) 2011
The subspace \( P = \{(x, y, z) \in \mathbb{R}^3 : z = x^2 + y^2 + 1\} \) is
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5
2012 · Mathematics · Topology · Topological Spaces and Constructions
Mathematics (MA) 2012
In a topological space, which of the following statements is NOT always true :
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6
2013 · Mathematics · Topology · Topological Spaces and Constructions
Mathematics (MA) 2013
Consider \(\mathbb{R}^2\) with the usual topology. Which of the following statements are TRUE for all \(A, B \subseteq \mathbb{R}^2\)?
P:\(A \cup B = \overline{A} \cup \overline{B}\).
Q:\(A \cap B = \overline{A} \cap \overline{B}\).
R:\((A \cup B)^{\circ} = A^{\circ} \cup B^{\circ}\).
S:\((A \cap B)^{\circ} = A^{\circ} \cap B^{\circ}\).
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