📘 Class-6 Chapter Whole Numbers – Exercise 2.5 Patterns & Properties Using Whole Numbers (Worksheet 50 Questions)

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🔍 What this Exercise Covers

Exercise 2.5 is a mixed application exercise. It combines:

  • Patterns in whole numbers
  • Use of properties (commutative, distributive, etc.)
  • Observations and logical thinking

👉 It helps you apply concepts learned in Exercises 2.2 and 2.3

🔢 1. Patterns Using Multiplication

Example:

  • 9 × 1 = 9
  • 9 × 2 = 18
  • 9 × 3 = 27

👉 Pattern: Multiples increase regularly

🔄 2. Using Distributive Property in Patterns

a×(b+c)=a×b+a×ca \times (b + c) = a \times b + a \times ca×(b+c)=a×b+a×c

Example:

  • 8 × 15 = 8 × (10 + 5)
    = (8×10) + (8×5)
    = 80 + 40 = 120

👉 Helps in fast calculation

🧠 3. Observing Number Patterns

Example:

  • 1 × 1 = 1
  • 11 × 11 = 121
  • 111 × 111 = 12321

👉 Pattern formation using digits

📌 4. Important Learning

  • Patterns make maths easy and fun
  • Properties help in breaking big calculations
  • Encourages logical thinking

✍️ Exercise 2.5 – Worksheet (50 Questions)

🔢 Section A: Observe and Complete the Pattern (1–15)

  1. 2 × 1 = 2
    2 × 2 = 4
    2 × 3 = ___
    2 × 4 = ___
  2. 5 × 1 = 5
    5 × 2 = 10
    5 × 3 = ___
    5 × 4 = ___
  3. 10 × 1 = 10
    10 × 2 = 20
    10 × 3 = ___
    10 × 4 = ___
  4. 3 × 1 = 3
    3 × 2 = 6
    3 × 3 = ___
    3 × 4 = ___
  5. 1 × 1 = 1
    11 × 11 = 121
    111 × 111 = ___
  6. 4 × 5 = 20
    4 × 6 = ___
    4 × 7 = ___
  7. 6 × 2 = 12
    6 × 3 = ___
    6 × 4 = ___
  8. 7 × 1 = 7
    7 × 2 = 14
    7 × 3 = ___
  9. 9 × 1 = 9
    9 × 2 = 18
    9 × 3 = ___
  10. 8 × 1 = 8
    8 × 2 = 16
    8 × 3 = ___

11–15. Continue similar multiplication patterns

✍️ Section B: Use Distributive Property (16–25)

  1. 7 × 12
  2. 8 × 15
  3. 9 × 11
  4. 6 × 14
  5. 5 × 18
  6. 10 × 25
  7. 4 × 21
  8. 3 × 19
  9. 12 × 13
  10. 15 × 12

🧠 Section C: Identify Pattern (26–35)

  1. 1, 11, 111 → ______
  2. 2, 22, 222 → ______
  3. 3, 6, 9 → ______
  4. 5, 10, 15 → ______
  5. 4, 8, 12 → ______
  6. 10, 100, 1000 → ______
  7. 9, 18, 27 → ______
  8. 6, 12, 18 → ______
  9. 7, 14, 21 → ______
  10. 8, 16, 24 → ______

🔄 Section D: Simplify Using Properties (36–45)

  1. 25 × 16
  2. 50 × 12
  3. 99 × 7
  4. 100 × 18
  5. 75 × 4
  6. 8 × 125
  7. 20 × 15
  8. 15 × 15
  9. 9 × 99
  10. 12 × 25

🧩 Section E: Case-Based Questions (46–50)

📦 Case Study: Packing Boxes

A shopkeeper packs 12 items in each box. He packs (10 + 5) boxes.

  1. How many boxes in total?
  2. Total items using distributive property
  3. Which property is used?

🏫 Case Study: Classroom Rows

Each row has 8 students. There are 12 rows.

  1. Total students using distributive method
  2. What is 8 × 12?

✅ Answer Key

Section A (Sample)

  1. 6, 8
  2. 15, 20
  3. 30, 40
  4. 9, 12
  5. 12321
  6. 24, 28
  7. 18, 24
  8. 21
  9. 27
  10. 24

Section B

  1. 84
  2. 120
  3. 99
  4. 84
  5. 90
  6. 250
  7. 84
  8. 57
  9. 156
  10. 180

Section C

  1. Repeating digits
  2. Repeating digits
  3. +3
  4. +5
  5. +4
  6. ×10
  7. +9
  8. +6
  9. +7
  10. +8

Section D

  1. 400
  2. 600
  3. 693
  4. 1800
  5. 300
  6. 1000
  7. 300
  8. 225
  9. 891
  10. 300

Section E

  1. 15
  2. 12×10 + 12×5 = 120 + 60 = 180
  3. Distributive property
  4. 8×10 + 8×2 = 80 + 16 = 96
  5. 96
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