Class 9
Mathematics
Chapter 4
Ganita Prakash (latest NCERT)
Exploring Algebraic Identities
Free NCERT practice questions for Class 9 Mathematics, Chapter 4 — 182 questions across MCQs, short-answer, long-answer, numericals and more. Download a printable PDF worksheet in seconds. No signup, no ads, no paywall.
What this chapter covers
Class 9 Maths Chapter 4 'Exploring Algebraic Identities' systematises the algebraic identities students saw in Class 8 and adds new ones. Identities for (a+b)², (a−b)², (a+b)(a−b), (x+a)(x+b), (a+b+c)², (a+b)³, (a−b)³ and a³+b³ are derived and used to expand and factorise expressions. The chapter develops algebraic fluency that is used throughout Class 10 mensuration, trigonometry and quadratic equations.
Key topics in this chapter
- Standard algebraic identities
- (a+b)², (a−b)², (a+b)(a−b)
- (a+b)³, (a−b)³, a³±b³
- (a+b+c)² and three-variable identities
- Expanding and factorising using identities
Frequently asked questions
What is included in Class 9 Mathematics Chapter 4 (Exploring Algebraic Identities)?
This chapter has 182 NCERT-aligned practice questions covering all the concepts from the Ganita Prakash textbook's Chapter 4. Questions span easy, medium and hard levels across 7 different formats so students get a balanced practice set.
Are these questions based on the new NCERT Ganita Prakash textbook?
Yes. Every question on Practico for Class 9 Mathematics is mapped directly to the latest NCERT Ganita Prakash textbook (the one CBSE schools are using now). The chapter numbers and chapter titles match the textbook exactly.
How many questions can I practice from this chapter?
182 questions are available right now. You can pick how many you want at a time — generate 10 quick MCQs, a 30-question worksheet, or a full exam-style mix. Each generation gives you a different random set.
Can I download a free PDF worksheet for Exploring Algebraic Identities?
Yes — completely free, no sign-up required. Pick this chapter, choose the number of questions and types you want, and download a printable PDF (with or without answers) in one click.
What question types are available?
This chapter has assertion reason, fill blank, long, mcq, numerical, short, true false. You can mix any combination, or filter to just the type you want to practice — for example, only numericals to drill calculation, or only short-answer questions for exam revision.
Is Practico aligned with CBSE exam patterns?
Yes. Practico questions are tagged by marks (1, 2, 3, 5) and by difficulty (Easy/Medium/Hard) just like CBSE exam blueprints, so you can build a worksheet that mirrors a real unit test or annual exam.