Difficulty distribution
How the classified questions are distributed by difficulty.
75questions
Not classified
75
100%
Mathematics Previous Year Questions
Practice Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
5Papers
5Years
75Questions
4Topics
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.
Question type distribution
MCQ, numerical, multiple-select and other formats found in these papers.
75questions
Multiple Choices
75
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 topics
Open a focused page built from the same verified paper data.
Algebra
Explore previous-paper coverage, trends and focused practice for Algebra.
Calculus
Explore previous-paper coverage, trends and focused practice for Calculus.
Coordinate Geometry
Explore previous-paper coverage, trends and focused practice for Coordinate Geometry.
Trigonometry
Explore previous-paper coverage, trends and focused practice for Trigonometry.
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 | 15 | View paper |
| IAT IISER 2024 | 2024 | 15 | View paper |
| IAT IISER 2023 | 2023 | 15 | View paper |
| IAT IISER 2022 | 2022 | 15 | View paper |
| IAT IISER 2020 | 2020 | 15 | View paper |
Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
2020 · Mathematics · Trigonometry · Trigonometric Equations
IAT IISER 2020
If S is the set of all points $(x, y)$ satisfying the equation $\sin x=\cos y$, then which of the following statements is correct?
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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 · Sets And Relations
IAT IISER 2020
$$\text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is }$$