Inequalities in IOQM: previous year question analysis
Inequalities has appeared 12 times in IOQM between 2016 and 2025, making it the 10th most-asked of 14 chapters and about 3.4% of the bank. Over the last 5 years it has averaged 1.4 questions per year.
Total PYQs
12
Years covered
2016–2025
Weightage rank
#10 of 14
Share of bank
3.4%
How many Inequalities questions appeared each year
| Year | Questions | Relative volume |
|---|---|---|
| 2016 | 2 | |
| 2017 | 2 | |
| 2018 | 1 | |
| 2019 | 1 | |
| 2021 | 2 | |
| 2022 | 1 | |
| 2024 | 2 | |
| 2025 | 1 |
Which Inequalities sub-topics are asked most
Every question in this chapter is tagged to a sub-topic, so you can see exactly where the marks sit before you revise.
- Cauchy-Schwarz maximisation of a linear form on an ellipsoid1 questions
- constrained maximisation of a symmetric polynomial1 questions
- surd inequality, integer count1 questions
- equality case of a sum-of-squares identity1 questions
- Cauchy-Schwarz / Chebyshev on a cyclic sum1 questions
- extremal value of a $\pm 1$ pairwise-product sum1 questions
- nested absolute-value inequality, integer solution count1 questions
- extremal value of median minus mean1 questions
- extremal values of a rational expression under a constraint1 questions
- equality case of $t^{24} \le t^{20}$, then count1 questions
Question formats used in Inequalities
- Numerical / integer answer12
How Inequalities compares with nearby chapters
- #8Coordinate & Trigonometric Geometry16
- #9Sequences & Series16
- #10Inequalities12
- #11Modular Arithmetic9
- #12Functional Equations6
Counts are computed from AcadXL’s own IOQM question bank, tagged chapter- and sub-topic-wise and checked against official answer keys. Sign in to attempt the 12 Inequalities questions with solutions.