School Prep
Understand every chapter, one step at a time.
Explore morePiCraft · Concept is the power
Understand deeply. Practise intelligently.
Whether you are writing UPSC Maths Optional or CUET, you should never have to figure it out alone. Clear concepts, honest PYQ insights, and Miju beside you when you are stuck.
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A short guided tour of the website and Miju, your AI buddy: explore the sections, log in, and use every feature.
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Each path has its own syllabus, topics and tools. Look around first; you only sign up to save progress.
Competitive Exams
Practise with purpose and aim higher.
Explore moreUPSC Mathematics Optional
Structured, topper-guided preparation.
Explore moreConcepts through Animations
Watch the idea move before you solve it.
Explore moreInside PiCraft
See what you get after you sign up
A quick look at PiCraft after logging in.
- 🎯Pick School Prep, Competitive Exams or UPSC Maths Optional
- 📚Syllabus, examination scheme and topic-wise previous-year questions
- 📊See which topics carry the most marks
- 🤖Miju, your AI tutor, for any doubt
- ⭐Save any card and resume learning where you stopped
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Meet Miju
Your little genius buddy
Create personalised workbooks, revise faster, practise smarter, and understand every topic with your friendly AI study buddy.
- 📘Create your own workbooks
- 🗂️Revise any topic with flash cards
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- 💡Concept explanations
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Miju is an AI tutor. It can make mistakes and is not an official answer key, so check important answers with your textbook or a mentor.
Miju Online · your little genius buddy
Ask Miju anything…➤
How PiCraft works
From first look to steady progress
- ExploreBrowse School, Competitive Exams or UPSC Maths Optional. No sign-up needed.
- Try a previewWatch a visual lesson or open the sample trend analysis.
- Create your accountSave your progress and keep learning across devices.
- Take Pi CheckDiscover your starting point and get a personalised learning plan.
- Learn, practise, improveStudy topic by topic, practise PYQs and ask Miju when you are stuck.
Concepts through Animations
See the idea move, then solve it
Short animated lessons, topic by topic. Tap a video to play it right here.
Trigonometry
Application of Trigonometry
Understand the famous lighthouse problem through animation.
Watch on YouTube →2D Geometry · Conic Sections
Application of Parabola
Understand the application of the parabola through animation.
Watch on YouTube →Calculus · Applications of Calculus
Application of Calculus: Mean Value Theorem
The Application of Calculus: Mean Value Theorem explained visually, with a real-life application.
Watch on YouTube →Geometry · Triangles
Heron's formula
Find the area of a triangle from its three sides, explained through animation.
Watch on YouTube →PiCraft Play Lab
Play with maths and science
Maths games, live graphs for textbook questions, games for little learners and quick science experiments. Tap a game and start playing, right here.
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Built with open-source tools: function-plot, Matter.js and canvas-confetti. Nothing is collected: best scores stay on your device.
One website, built around you
Whichever path you pick, you get the same helpful tools.
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Pi Check onboarding
Discover your starting point and get a personalised learning plan.
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Miju, your AI tutor
Stuck on a step? Ask Miju in plain words, or snap a photo of a question to get it explained.
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Your Learnbook
Save what you learn, build your own revision notes and keep track of your progress.
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Lectures and community
Watch PiCraft lectures on YouTube, join the Telegram group for resources and ask doubts on WhatsApp.
UPSC Maths Optional insights
Know where the weight lies
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.
854Questions analysed
11,200Marks mapped to topics
14Years, 2013 to 2026
9.6%Biggest scorer: Ordinary Differential Equations
Where the 11,200 marks went
Share of all marks, by subject
Ordinary Differential Equations
9.6%
Calculus
8.8%
Mechanics and Fluid Dynamics
8.8%
Numerical Analysis and Computer Programming
8.5%
Linear Algebra
8.5%
Dynamics and Statics
8.4%
Partial Differential Equations
7.7%
Analytic Geometry
7.7%
Real Analysis
7.3%
Vector Analysis
7.0%
Algebra
6.1%
Complex Analysis
5.9%
Linear Programming
5.6%
How the marks are split
By question size
- 10-mark 31% of marks
- 15-mark 39% of marks
- 20-mark 20% of marks
- Other 9% of marks
Paper I · 50%Paper II · 50%
Year-by-year heat map
Marks per subject in each exam year. Darker means more marks.
1314151617181920212223242526Ordinary Differential Equations701007080871067070707070707070Calculus6070707560837075707070707070Mechanics and Fluid Dynamics7050757060658060757575757575Numerical Analysis and Computer Programming6095606070757570656565656565Linear Algebra7070687070457070707070707070Dynamics and Statics7070847560227070707070757070Partial Differential Equations7055657070604570606060606060Analytic Geometry7060625570726055606060606060Real Analysis5755556555558060556040606060Vector Analysis6030464553726060606060556060Algebra7355506045454050404050405050Complex Analysis2540454555404545655560554545Linear Programming4550503045603545404550454545
Trend of the six biggest subjects
Marks per year, each on the same scale (2013 to 2026). Big dot marks the peak year.
Ordinary Differential Equationsavg 77 marks a year
Peak 106 in 2018Latest 70
Calculusavg 70 marks a year
Peak 83 in 2018Latest 70
Mechanics and Fluid Dynamicsavg 70 marks a year
Peak 80 in 2019Latest 75
Numerical Analysis and Computer Programmingavg 68 marks a year
Peak 95 in 2014Latest 65
Linear Algebraavg 68 marks a year
Peak 70 in 2013Latest 70
Dynamics and Staticsavg 68 marks a year
Peak 84 in 2015Latest 70
Top topics by marks
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 |
CUET UG insights
A taste of the analysis: what to study first
845 questions from the 2022-25 papers, tagged by chapter. Pick a subject and the papers you want to look at.
Toppers' blog
How toppers prepared
Short summaries of strategies from toppers in school boards, JEE, NEET, CUET and UPSC Maths.
499/500CBSE Class 12 · 2025
NCERT ten to fifteen times, consistency over intensity
Shloka Upadhyaya · 99.8%
Read strategy →486/500CBSE Class 12 · 2025Four to five serious hours and NCERT only
Navya Shukla · 97.2%
Read strategy →99.6%CBSE Class 10 and 12 · 2025Sleep, short sessions and no all-day studying
Three CBSE toppers from the UAE · 99.4% to 99.6%
Read strategy →AIR 1JEE Advanced 2025
Clear every doubt before you move on
Rajit Gupta · Common rank 1
Read strategy →AIR 1JEE Advanced 2018Concepts first, then ten years of papers
Pranav Goyal · Rank 1 · JEE Main AIR 4
Read strategy →AIR 1NEET 2021Biology through NCERT, then mock tests
Tanmay Gupta · NEET UG rank 1
Read strategy →Miju
How Miju helps
Notes, practice, quizzes and progress tracking for every section, in one place.
Workbooks that grow with you
Build your own workbook with Miju and track your progress on your dashboard.
Maths revision sets
Practice sets for IIT-JEE maths revision before your tests.
Topic-wise practice
Topic-wise practice and quick quizzes keep your IIT-JEE preparation focused and organised.
Physics numericals, step by step
Step-by-step solutions and flash cards help you work through Physics numericals.
Biology made easy to revise
Concept cards and quick quizzes help you revise Biology diagrams and terms.
Concept summaries
Concept summaries, diagrams and quick quizzes for your PG entrance preparation.
Faster revision
Notes, flash cards and quick tests to make CUET revision faster.
Physics, Chemistry, Biology
Notes and quick quizzes to keep your Physics, Chemistry and Biology prep organised.
Flash cards for tough topics
Flash cards, quizzes and structured revision for difficult topics.
Ready for your mock tests
Revise concepts, examples and practice sets before your Mathematics Optional mock tests.
About
Meet your mentor
Founder & Mentor
Learn from someone who has walked the path
A mathematics educator with an M.Sc. from NIT Warangal and four years of teaching. PiCraft brings the same clarity and structure to every lesson.
4+Years teaching
11SSB interviews
- 🎖️ Sainik School alumnus
- 🎓 NIT Warangal
- 🔬 IIT Bombay, IIT Madras workshops
PiCraft is an independent educational initiative. It is not affiliated with, or endorsed by, any government body.
Frequently asked questions
What is PiCraft?
A learning website for school Maths, Physics, Chemistry and Biology (Class 11 and 12), competitive exam preparation and UPSC Maths Optional, with an AI tutor, topic-wise practice and toppers' strategies.
Which classes and exams are covered?
Maths, Physics, Chemistry and Biology for Class 11 and 12, IIT-JEE, CUET UG and PG, and the UPSC Mathematics Optional.
Do I need to install anything?
No. It works in your browser. You can also add it to your home screen to use it like an app.
Do I need to sign up to look around?
No. The School, Competitive Exams and UPSC Maths Optional pages, syllabus, visual lessons and the toppers' blog are open to read. You sign up to save progress, ask Miju and open member material such as the CUET UG library.
What is Miju?
Miju is PiCraft's AI tutor. Ask in plain words, send a photo of a question for a step-by-step solution, or make flash cards and quizzes. Miju is an assistant, not an official answer key, so check important answers with your textbook or a mentor.
Is any material paid?
At the moment nothing is locked: all PDFs and resources are open once you log in. If a paid item is added later, its price will be shown before you pay. See Payments and refunds.
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We keep only what is needed to run your account and progress. Read the Privacy policy.
Who is behind it?
PiCraft, a Mathematics learning institute. You can message us on WhatsApp at +91 63506 04539.
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