Saturday, 24 January 2026

 

📘 Class 8 Maths – Chapter 14: Factorisation

STEP 8: MCQs + Practice Worksheet


📝 Part A: Multiple Choice Questions (MCQs)

  1. Factorisation of x² − 9 is:
    A) (x − 3)(x − 3)
    B) (x + 3)(x + 3)
    C) (x − 3)(x + 3) ✅
    D) x(x − 9)
  2. Common factor of 8x + 12 is:
    A) 2
    B) 4 ✅
    C) x
    D) 8
  3. Which identity is used for a² − b²?
    A) (a + b)²
    B) (a − b)²
    C) (a − b)(a + b) ✅
    D) a² + b²
  4. Factorisation of x² + 5x + 6 is:
    A) (x + 1)(x + 6)
    B) (x + 2)(x + 3) ✅
    C) (x − 2)(x − 3)
    D) x(x + 6)
  5. Number of terms in (a + b)² after expansion:
    A) 2
    B) 3 ✅
    C) 4
    D) 1

✏️ Part B: Practice Worksheet

  1. Factorise: 6x + 18
  2. Factorise: x² − 25
  3. Factorise by grouping: ax + ay + bx + by
  4. Factorise: x² + 9x + 20
  5. Factorise completely: 4x² − 16
  6. Find the factors of 2a² + 6a

🎯 Learning Tip

  • Always check for common factors first
  • Use identities wherever possible
  • Practice grouping for 4-term expressions

📘 Class 8 Mathematics – Complete Library

CBSE | NCERT | State Syllabus


Chapter 1: Rational Numbers

Chapter 2: Linear Equations in One Variable

Chapter 3: Understanding Quadrilaterals

Chapter 4: Practical Geometry

Chapter 5: Data Handling

Chapter 6: Squares and Square Roots

Chapter 7: Cubes and Cube Roots

Chapter 8: Comparing Quantities

Chapter 9: Algebraic Expressions and Identities

Chapter 10: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing with Numbers

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