๐Ÿ“˜ Class-6 Chapter Whole Numbers โ€“ Exercise 2.3 Patterns in Whole Numbers (Worksheet 50 Questions)

๐Ÿ” What this Exercise Covers

Exercise 2.3 focuses on:

  • Understanding patterns in whole numbers
  • Finding rules in sequences
  • Using patterns for easy calculations

๐Ÿ”ข 1. What are Number Patterns?

A pattern is a sequence of numbers that follows a rule.

๐Ÿ“Œ Examples:

๐Ÿ‘‰ 2, 4, 6, 8, 10
(Adding 2 each time)

๐Ÿ‘‰ 5, 10, 15, 20
(Adding 5 each time)

๐Ÿ‘‰ 10, 9, 8, 7
(Subtracting 1 each time)


๐Ÿ” 2. Patterns in Addition

Example:
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10

๐Ÿ‘‰ Pattern: Sum keeps increasing in a regular way


๐Ÿ” 3. Patterns in Multiplication

Example:
2 ร— 1 = 2
2 ร— 2 = 4
2 ร— 3 = 6
2 ร— 4 = 8

๐Ÿ‘‰ Pattern: Multiples of 2


๐Ÿง  4. Important Idea

Patterns help:

  • Predict next numbers
  • Solve problems faster
  • Understand number relationships

โœ๏ธ Exercise 2.3 โ€“ Worksheet (50 Questions)


๐Ÿ”ข Section A: Complete the Patterns (1โ€“15)

  1. 2, 4, 6, ___, ___
  2. 5, 10, 15, ___, ___
  3. 1, 3, 5, ___, ___
  4. 10, 20, 30, ___, ___
  5. 100, 200, 300, ___, ___
  6. 7, 14, 21, ___, ___
  7. 9, 18, 27, ___, ___
  8. 4, 8, 12, ___, ___
  9. 11, 22, 33, ___, ___
  10. 3, 6, 9, ___, ___
  11. 50, 100, 150, ___, ___
  12. 8, 16, 24, ___, ___
  13. 6, 12, 18, ___, ___
  14. 15, 30, 45, ___, ___
  15. 25, 50, 75, ___, ___

๐Ÿ” Section B: Find the Rule (16โ€“25)

  1. 2, 4, 6, 8 โ†’ Rule: ______
  2. 5, 10, 15 โ†’ Rule: ______
  3. 3, 6, 9 โ†’ Rule: ______
  4. 7, 14, 21 โ†’ Rule: ______
  5. 1, 2, 3, 4 โ†’ Rule: ______
  6. 10, 20, 30 โ†’ Rule: ______
  7. 100, 200 โ†’ Rule: ______
  8. 9, 18, 27 โ†’ Rule: ______
  9. 6, 12, 18 โ†’ Rule: ______
  10. 4, 8, 12 โ†’ Rule: ______

๐Ÿง  Section C: Fill in the Missing Numbers (26โ€“35)

  1. 1, 4, 7, ___, ___
  2. 2, 5, 8, ___, ___
  3. 10, 15, 20, ___, ___
  4. 3, 9, 27, ___, ___
  5. 100, 90, 80, ___, ___
  6. 5, 15, 25, ___, ___
  7. 7, 14, 28, ___, ___
  8. 20, 40, 60, ___, ___
  9. 2, 6, 18, ___, ___
  10. 1, 1, 2, 3, 5, ___

๐Ÿ”„ Section D: Short Answer (36โ€“45)

  1. Write next 3 multiples of 5 after 25
  2. Write next 3 multiples of 10 after 50
  3. What comes after 999 in pattern of +1?
  4. Write 3 numbers decreasing by 2 from 20
  5. Write pattern of multiples of 3 till 15
  6. Write 4 numbers increasing by 4 from 8
  7. What is next in pattern: 2, 6, 10, ___
  8. What is next in pattern: 5, 15, 25, ___
  9. Write pattern of +7 starting from 7
  10. Write 3 numbers after 100 increasing by 10

๐Ÿงฉ Section E: Case-Based Questions (46โ€“50)


๐Ÿ“ฆ Case Study: Stacking Boxes

A worker stacks boxes in rows:
1st row = 2 boxes
2nd row = 4 boxes
3rd row = 6 boxes

  1. How many boxes in 4th row?
  2. How many in 5th row?
  3. What pattern is followed?

๐Ÿซ Case Study: Class Bench Arrangement

Each row has 5 more students than previous row.

1st row = 5 students
2nd row = 10 students

  1. How many students in 3rd row?
  2. What is the rule of pattern?

โœ… Answer Key


Section A

  1. 8, 10
  2. 20, 25
  3. 7, 9
  4. 40, 50
  5. 400, 500
  6. 28, 35
  7. 36, 45
  8. 16, 20
  9. 44, 55
  10. 12, 15
  11. 200, 250
  12. 32, 40
  13. 24, 30
  14. 60, 75
  15. 100, 125

Section B

  1. +2
  2. +5
  3. +3
  4. +7
  5. +1
  6. +10
  7. +100
  8. +9
  9. +6
  10. +4

Section C

  1. 10, 13
  2. 11, 14
  3. 25, 30
  4. 81, 243
  5. 70, 60
  6. 35, 45
  7. 56, 112
  8. 80, 100
  9. 54, 162
  10. 8

Section D

  1. 30, 35, 40
  2. 60, 70, 80
  3. 1000
  4. 18, 16, 14
  5. 3, 6, 9, 12, 15
  6. 12, 16, 20, 24
  7. 14
  8. 35
  9. 7, 14, 21, 28
  10. 110, 120, 130

Section E

  1. 8
  2. 10
  3. +2 pattern
  4. 15
  5. +5 pattern