Maths

This is a complete, free study companion for Maths — built around what the exam actually asks. The topics examiners repeat most are Algebraic identities and polynomial factorization, Solving linear equations in two variables and simultaneous equations, and Statistics: frequency table and arithmetic mean. The syllabus runs to 14 chapters. Below you'll find the full topic-frequency ranking, the exam paper pattern, every chapter, a step-by-step study plan, and the official downloads — everything in one place.

Everything here is free. We're an independent student resource, not the official Maharashtra Board body, so always confirm the current syllabus and exam dates on the official Maharashtra Board website before you rely on them.

Key information

Level: Class 9
Programme: CL9
Exam: School Based Examination
Conducted by: MSBSHSE

Most frequently examined topics

#	Topic	Times asked
1	Algebraic identities and polynomial factorization	8
2	Solving linear equations in two variables and simultaneous equations	7
3	Statistics: frequency table and arithmetic mean	7
4	Triangles: similarity, congruence and Pythagoras theorem	7
5	Areas and volumes of cylinder, cone, cube, sphere and hemisphere	7
6	Circle chord properties and congruent chords theorem	6
7	Distance formula, midpoint formula and section formula	6
8	Quadratic equations by factorization and formula	6
9	Linear equation word problems and mathematical modelling	6
10	Data representation using bar graph, histogram, frequency polygon and pie chart	6
11	Probability of coin, die and simple events	6
12	Remainder theorem and factor theorem	6

Counted across the official previous-year question papers we have analysed for this subject. It shows what has been asked before — it does not predict what will appear in your exam. Always confirm the current syllabus on the official portal.

What you will study (chapters)

Chapter 1: Real Numbers
Chapter 2: Polynomials
Chapter 3: Linear Equations in Two Variables
Chapter 4: Graphical Representation of Linear Equations
Chapter 5: Quadratic Equations
Chapter 6: Factorization of Quadratic Polynomials
Chapter 7: Coordinate Geometry Basics
Chapter 8: Distance Formula and Section Formula
Chapter 9: Triangles: Properties and Similarity
Chapter 10: Circles: Basic Concepts
Chapter 11: Areas and Volumes
Chapter 12: Statistics: Mean, Median, Mode
Chapter 13: Probability: Basic Concepts
Chapter 14: Data Representation and Interpretation

How to study Maths and score well

Start with the highest-frequency topics — In Maths, Algebraic identities and polynomial factorization, Solving linear equations in two variables and simultaneous equations, Statistics: frequency table and arithmetic mean, and Triangles: similarity, congruence and Pythagoras theorem appear again and again in past papers. Master these first — they return the most marks for the time you put in.
Practise with previous-year papers — Solve the last 5–10 years of Maharashtra Board Maths papers under timed, exam-like conditions. Past papers show exactly which topics repeat and how questions are worded.
Revise actively, not passively — Write a one-page summary for each of the 14 chapters — key definitions, formulas and the points examiners reward — then re-test yourself instead of re-reading.
Mark your answers with the official scheme — After each practice paper, score yourself against the official marking scheme. It shows how marks are awarded step-by-step, so you learn to present answers the way examiners expect.

Exam tips: how to score higher in Maths

Where students lose marks: rushing the high-weightage questions, skipping the steps the marking scheme rewards, and saving easy sections for last. Read the whole paper first, attempt your strongest section early to bank marks, and always show your working.

Manage your time: split your time in proportion to the marks each section carries, keep a few minutes at the end to check, and never leave a question blank — a partial, structured answer still earns partial marks.

Frequently asked questions

What are the most important topics in Maths?

Based on past papers, the most frequently asked topics include Algebraic identities and polynomial factorization, Solving linear equations in two variables and simultaneous equations, Statistics: frequency table and arithmetic mean. The full ranked list with how often each appears is in the "Most important topics" section above.

Where can I download Maths previous-year question papers?

Official Maharashtra Board previous-year question papers are available on the official Maharashtra Board website. Open the Question Papers section for the direct link, plus the exam pattern and the topics that repeat most.

How can I prepare for Maths faster?

Start with the highest-frequency topics, learn the exam pattern so you know how each section is marked, and practise with past papers. A subject-aware study tutor can quiz you on exactly these topics.

A Gyani AI tutor trained on the Maths syllabus and past papers can quiz you on the most-asked topics and show you exactly what to revise.