📈 Class 9 · ages 13–14 · CBSE · ICSE · state boards
Class 9 maths: proofs, polynomials and a strong start
Class 9 is the real start of the board years. Geometry becomes about proof, polynomials and irrational numbers are new, and the habits formed now carry into Class 10. Starting early and steadily works best.
- Class 9
- Ages 13–14
- Online, from any city
- Free practice included
The year ahead
What children learn in Class 9 maths
Number systems
Rational and irrational numbers, real numbers on the number line and laws of exponents.
Polynomials
Zeroes, the remainder and factor theorems and algebraic identities.
Coordinate geometry
Plotting points in the Cartesian plane.
Linear equations in two variables
Solutions as points and drawing the graph of a line.
Lines, angles, triangles
Angle properties and congruence of triangles with proofs.
Quadrilaterals and circles
Properties of parallelograms and circle theorems.
Heron's formula, surface area, volume
Area from three sides, and surface area and volume of solids.
Statistics
Grouped data, bar graphs, histograms and mean, median and mode.
CBSE, ICSE and state boards teach very similar ideas but in a different order and depth, and textbooks are revised from time to time. Tell us your board, your textbook and the topic your child is on, and we will start there instead of guessing.
Common trouble spots
Where Class 9 children usually get stuck
- Writing geometry proofs. Each step needs a reason. Practise with the structure Given, To prove, Proof, and reasons in brackets.
- Irrational numbers. √2 is real but can't be written as a fraction. Locate it on a number line with a right triangle.
- Factor theorem. Test a root by substitution, then divide. Do both until it clicks.
- Graph of a linear equation. Make a table of 3 points and join them. Two are enough, the third is a check.
Start today
A four-week plan for home
Twenty to thirty minutes on most days is enough. Change the order if your child is already ahead on a topic.
- 01Week 1: Real numbers and exponents
Locate √2 and √3 on a number line and practise the exponent laws.
- 02Week 2: Polynomials
Zeroes, factor theorem and identities, 5 questions a day with the check step.
- 03Week 3: Geometry proofs
Write one full proof a day in Given / To prove / Proof format.
- 04Week 4: Graphs and Heron
Plot three linear equations and calculate triangle areas with Heron's formula.
Exams do not move
How many weeks does your child have?
Enter the exam date and weekly hours. The free planner counts the weeks and splits them into a calm plan. Starting early leaves room for gaps, practice and full papers.
Free practice
Practise Class 9 maths at home
No sign-up, nothing to install. Each tool shows its working so your child learns the method.
Scientific calculator
A free online scientific calculator with brackets, powers, roots, logs, trigonometry in degrees or radians, factorials and a history.
Use the tool →Quadratic equation solver
Solve ax² + bx + c = 0 with the discriminant, both roots (including complex ones), the vertex and the factorised form, step by step.
Use the tool →Pythagoras theorem calculator
Find the missing side of a right-angled triangle from any two sides, with the area, perimeter and both acute angles.
Use the tool →Area, perimeter & volume calculator
Area, perimeter, circumference, volume and surface area for 12 shapes: rectangle, triangle, circle, cuboid, cylinder, cone, sphere and more.
Use the tool →Mean, median & mode calculator
Mean, median, mode, range, quartiles and standard deviation for any list of numbers, such as marks, prices, runs or temperatures.
Use the tool →Read
Guides for parents
Maths, coding, AI & parents
How to prepare for maths exams: a revision plan that works (study tips for students)
A practical maths revision plan for students: audit your topics, build a timetable, practise past papers, keep a mistakes log, manage exam time and use free calculators to check your working. For school boards and international exams.
Read the guide →Maths, coding, AI & parents
The Pythagorean theorem explained simply, with examples
A simple explanation of the Pythagorean theorem (a² + b² = c²) with a visual proof, worked examples, Pythagorean triples and real-life uses. Free interactive lesson and worksheets included.
Read the guide →Maths, coding, AI & parents
BODMAS rule explained: order of operations with examples (PEMDAS, BIDMAS)
What BODMAS means (and PEMDAS and BIDMAS), the order to do brackets, powers, division, multiplication, addition and subtraction, worked examples, common mistakes, and free practice worksheets.
Read the guide →Working with us
How online maths classes work
- Tell us about your child. Share the class, board, textbook or topic, what feels hard and how much time is available. A parent or guardian makes the enquiry.
- We confirm the fit. We suggest a starting point and confirm the format, time and availability before anything is booked. If an introductory lesson or assessment has a fee, we say so up front.
- Learn, practise and review. Interactive lessons with the child writing and talking, practice between sessions and a short update for parents. We do not promise marks or ranks.
Read more about Maths exam preparation.
Free notes and practice
Class 9 maths topics
Live online course
Maths for Class 9: 24 live classes
12 weeks, 2 a week, from ₹367 a class in India (small group). See the week-by-week plan, the price for your country and how the demo class works.
FAQ
Class 9 maths: questions parents ask
How should a Class 9 student prepare in the first half of the year?
Keep up with school, do 20 to 30 minutes of practice on most days and review mistakes weekly. Early understanding of polynomials, number systems and geometry makes Class 10 much easier.
My child is scared of geometry proofs. Any advice?
Treat each proof as a short story: what is given, what must be shown, and one reason per step. Writing a full proof every day for a few weeks builds confidence quickly.
Is Class 9 important for board exams?
The Class 9 marks themselves are not the board result, but topics like polynomials, coordinate geometry and triangles return in Class 10, so a weak base is costly later.
Can you help with ICSE or state board Class 9?
Yes, share the board and textbook. We follow your school's order of topics.
Start a conversation
Questions about Class 9 maths?
Share your child's board, textbook and what feels hard. We'll suggest a starting point and confirm the format and schedule before anything is booked.
- Tell us the learner’s age or grade and goals
- We’ll suggest a suitable class or learning path
- We’ll confirm format, timing and fees with a parent or guardian
Play it, don't just read it
Try it now: Equations with x on both sides
Eight quick questions with instant feedback. Your score is saved on this device and counts in the games and learning paths too.
Equations with x on both sides (Grade 8): Solving equations such as 5x + 3 = 2x + 18. Open the practice page or print a worksheet.
Or play a game
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