Difficulty distribution
How the classified questions are distributed by difficulty.
33questions
Not classified
33
100%
Algebra - Mathematics Previous Year Questions
Practice Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
5Papers
5Years
33Questions
1Topics
Algebra question pattern
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Questions by year
Year-wise coverage for Algebra. Each bar uses a separate theme-derived color.
Question type distribution
MCQ, numerical, multiple-select and other formats found in these papers.
33questions
Multiple Choices
33
100%
Subject weightage
Top subjects by unique question coverage.
Most asked topics
Top topics across the included previous year papers.
Subtopic coverage
Top subtopics inside this exact selection.
Paper coverage
Question coverage for the most populated papers. Every active PYP paper remains listed below.
Browse by subtopics
Open a focused page built from the same verified paper data.
Matrices And Determinants
Explore previous-paper coverage, trends and focused practice for Matrices And Determinants.
Probability
Explore previous-paper coverage, trends and focused practice for Probability.
Complex Numbers
Explore previous-paper coverage, trends and focused practice for Complex Numbers.
Sets And Relations
Explore previous-paper coverage, trends and focused practice for Sets And Relations.
Vector Algebra
Explore previous-paper coverage, trends and focused practice for Vector Algebra.
Sequences And Series
Explore previous-paper coverage, trends and focused practice for Sequences And Series.
Permutations And Combinations
Explore previous-paper coverage, trends and focused practice for Permutations And Combinations.
Three Dimensional Geometry
Explore previous-paper coverage, trends and focused practice for Three Dimensional Geometry.
Binomial Theorem
Explore previous-paper coverage, trends and focused practice for Binomial Theorem.
Quadratic Equations
Explore previous-paper coverage, trends and focused practice for Quadratic Equations.
Statistics
Explore previous-paper coverage, trends and focused practice for Statistics.
Linear Programming
Explore previous-paper coverage, trends and focused practice for Linear Programming.
Included previous year papers
Newest papers appear first. Sort by year, question coverage or name.
| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| IAT IISER 2025 | 2025 | 8 | View paper |
| IAT IISER 2024 | 2024 | 6 | View paper |
| IAT IISER 2023 | 2023 | 7 | View paper |
| IAT IISER 2022 | 2022 | 7 | View paper |
| IAT IISER 2020 | 2020 | 5 | View paper |
Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
2020 · Mathematics · Algebra · Sets And Relations
IAT IISER 2020
$$\text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is }$$
2022 · Mathematics · Algebra · Probability
IAT IISER 2022
A randomly chosen card from a deck of 52 cards is given to be a black card (Spade or Club). What is the probability that it is either a face card (King, Queen or Jack) or a Spade?
2023 · Mathematics · Algebra · Probability
IAT IISER 2023
Consider three biased coins. Let the probability of getting head be $\frac{1}{3}$ and the probability of getting tail be $\frac{2}{3}$ in each of the coins. Consider the experiment of tossing the threee coins one by one, and the following events:
$E$ :"At least two heads show up"
F:"First coin shows tail".
What is the conditional probability of $E$ given that $F$ has already occurred?
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2024 · Mathematics · Algebra · Probability
IAT IISER 2024
A ship sets off on a voyage with three engines, labelled $A, B$, and $C$, which work independently. The ship can complete the voyage only if at least two of these engines keep working. The probability that engine $A$ breaks down is $1 / 4$, that engine $B$ breaks down is $1 / 4$, and that engine $C$ breaks down is $1 / 2$. What is the probability that the ship can complete the voyage?
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2025 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2025
Let $A$ be a $3 \times 3$ matrix with real entries such that
$$A=\left[\begin{array}{ccc} 4 & -1 & \cos x \\ -1 & 5 x & 25 \\ x^2+1 & 25 & 7 \end{array}\right]$$
For how many values of $x$, the matrix $A$ is symmetric?
2020 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2020
If $A=\left[\begin{array}{lll}1 & a & 0 \\ 0 & 1 & b \\ 0 & 0 & 1\end{array}\right]$, then the determinant of $I-A+A^2-A^3+A^4-\cdots+A^{2020}$ is
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