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Trends across 13 subjects and 14 years, so you can plan with clarity.
Source and method: totals come from PiCraft's question-by-question database of UPSC CSE Mathematics Optional papers, Paper I and Paper II, 2013 to 2026. Questions and marks were re-counted from that database on 12 October 2026. See the full analysis.
Share of all marks, by subject
By question size
Marks per subject in each exam year. Darker means more marks.
Marks per year, each on the same scale (2013 to 2026). Big dot marks the peak year.
The eight topics that carried the most marks
| Topic | Questions | Marks |
|---|---|---|
| Linear Transformations, Rank and Nullity, Matrix of a Linear TransformationLinear Algebra | 21 | 254 |
| Double and Triple Integrals; Areas, Surfaces and VolumesCalculus | 18 | 235 |
| The SphereAnalytic Geometry | 18 | 225 |
| Second Order Variable Coefficients: One Solution Known, Variation of ParametersOrdinary Differential Equations | 17 | 215 |
| Simplex Method (including Big-M and Two-Phase)Linear Programming | 13 | 215 |
| Equations of First Order and First Degree; Integrating FactorsOrdinary Differential Equations | 19 | 206 |
| Functions of Several Variables: Partial Derivatives, Maxima and MinimaReal Analysis | 13 | 205 |
| Two-Dimensional and Axisymmetric Motion; Sources, Sinks and ImagesMechanics and Fluid Dynamics | 13 | 190 |
845 questions from the 2022-25 papers, tagged by chapter. Pick a subject and the papers you want to look at.
Short summaries of strategies from toppers in school boards, JEE, NEET, CUET and UPSC Maths.
Shloka Upadhyaya · 99.8%
Read strategy →486/500CBSE Class 12 · 2025Navya Shukla · 97.2%
Read strategy →99.6%CBSE Class 10 and 12 · 2025Three CBSE toppers from the UAE · 99.4% to 99.6%
Read strategy →Rajit Gupta · Common rank 1
Read strategy →AIR 1JEE Advanced 2018Pranav Goyal · Rank 1 · JEE Main AIR 4
Read strategy →AIR 1NEET 2021Tanmay Gupta · NEET UG rank 1
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Every CSE Mathematics Optional question from 2013 to 2026, mapped to its exact syllabus topic, with solutions and analysis.
Choose a question type, then tap a topic to open all its PYQs.
UPSC Civil Services (Main) — Paper I and Paper II, 250 marks each.
Choose a subject, then a topic. Every question asked on that topic from 2013 to 2026 appears below, in the exact wording of the paper.
Every question carrying 15 or 20 marks in CSE 2013–2026, with the exact topics they come from. Download the booklets or browse subject by subject.
408 questions · 6690 marks · topic weightage and exact sub-topics for every subject
Read openly licensed textbooks right here on the website, and see the standard reference books for every subject.
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Short, clear reads on the strategies of toppers in UPSC Maths, JEE, NEET, CUET and the school boards, written in our own words with a link to each original source.
These are our own summaries for learning. All credit goes to the toppers and to the publishers of the original interviews, linked on each post. Marks and ranks are as reported there.
Choose a subject to see which topics are asked most often and in which years. Tap any square to read those questions.
Detailed solutions to the PYQs, subject by subject. Download the consolidated book, or open the list to pick a single topic.
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The complete Mathematics Optional paper for each year, question by question.
Key formulae, standard results and shortcuts for all 13 subjects, written for Mains revision. Choose a subject, search inside it, or download the PDF.
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