Class 7 Maths Part 2 Chapter 7 PDF: Finding the Unknown (Ganita Prakash)

Class 7 Maths Part 2 Chapter 7, Finding the Unknown, introduces linear equations in one variable—moving from balanced weighing scales and matchstick patterns to systematic equation solving by balancing both sides and transposing terms, word-problem modelling, and India’s classical Bijaganita algebra.

What Class 7 Mathematics Chapter 7 Covers

7.1–7.2 Find the Unknowns & Solving Equations Systematically models equations as balanced two-pan weighing scales (LHS = RHS), solves equations by performing the same operation on both sides or transposing terms across the ‘=’ sign, and verifies solutions by substitution.

7.3–7.4 Word Problems, Mind the Mistake & History of Algebra translates age, money, geometry and number-puzzle problems into linear equations, corrects common sign/bracket errors, and highlights Brahmagupta and Bhaskaracharya’s contributions to avyakta ganita (the mathematics of unknowns) and tangram puzzles.

Exercises in Chapter 7

• Figure it Out exercise sets and Summary with geometric and algebraic puzzles.

Read Class 7 Mathematics Chapter 7 Online

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• Previous: Chapter 6: Constructions and Tilings
• All Mathematics chapters and the other Class 7 books: Class 7 NCERT books 2026-27
• All Class 1 to 12 NCERT Textbooks: NCERT Books PDF (Class 1–12)
• Every book chapter by chapter: NCERT chapter wise PDF

FAQ

What is the golden rule for solving a linear equation?
An equation is like a balanced weighing scale: whatever mathematical operation (adding, subtracting, multiplying or dividing by a non-zero number) you perform on the Left-Hand Side (LHS), you must perform the exact same operation on the Right-Hand Side (RHS) to preserve equality.

How do you solve the equation 5x – 4 = 16 step by step?
Add 4 to both sides to get $5x = 16 + 4 = 20$. Then divide both sides by 5 to get x = 20 ÷ 5 = 4. Checking in the LHS gives 5(4) – 4 = 16 = RHS.

Updated 2026–27 NCERT Class 7 Books & Chapter-Wise PDFs

Looking for all chapters and the latest 2026–27 NCF NCERT textbooks for Class 7? Open any chapter below to download its official PDF or read our Read Online & Notes study guide, or visit the complete NCERT Class 7 Books PDF (2026–27 Main Page) for all subjects or All NCERT Books PDF (Class 1 to 12).