๐ What this Exercise Covers
Exercise 2.3 focuses on:
- Understanding patterns in whole numbers
- Finding rules in sequences
- Using patterns for easy calculations
๐ข 1. What are Number Patterns?
A pattern is a sequence of numbers that follows a rule.
๐ Examples:
๐ 2, 4, 6, 8, 10
(Adding 2 each time)
๐ 5, 10, 15, 20
(Adding 5 each time)
๐ 10, 9, 8, 7
(Subtracting 1 each time)
๐ 2. Patterns in Addition
Example:
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10
๐ Pattern: Sum keeps increasing in a regular way
๐ 3. Patterns in Multiplication
Example:
2 ร 1 = 2
2 ร 2 = 4
2 ร 3 = 6
2 ร 4 = 8
๐ Pattern: Multiples of 2
๐ง 4. Important Idea
Patterns help:
- Predict next numbers
- Solve problems faster
- Understand number relationships
โ๏ธ Exercise 2.3 โ Worksheet (50 Questions)
๐ข Section A: Complete the Patterns (1โ15)
- 2, 4, 6, ___, ___
- 5, 10, 15, ___, ___
- 1, 3, 5, ___, ___
- 10, 20, 30, ___, ___
- 100, 200, 300, ___, ___
- 7, 14, 21, ___, ___
- 9, 18, 27, ___, ___
- 4, 8, 12, ___, ___
- 11, 22, 33, ___, ___
- 3, 6, 9, ___, ___
- 50, 100, 150, ___, ___
- 8, 16, 24, ___, ___
- 6, 12, 18, ___, ___
- 15, 30, 45, ___, ___
- 25, 50, 75, ___, ___
๐ Section B: Find the Rule (16โ25)
- 2, 4, 6, 8 โ Rule: ______
- 5, 10, 15 โ Rule: ______
- 3, 6, 9 โ Rule: ______
- 7, 14, 21 โ Rule: ______
- 1, 2, 3, 4 โ Rule: ______
- 10, 20, 30 โ Rule: ______
- 100, 200 โ Rule: ______
- 9, 18, 27 โ Rule: ______
- 6, 12, 18 โ Rule: ______
- 4, 8, 12 โ Rule: ______
๐ง Section C: Fill in the Missing Numbers (26โ35)
- 1, 4, 7, ___, ___
- 2, 5, 8, ___, ___
- 10, 15, 20, ___, ___
- 3, 9, 27, ___, ___
- 100, 90, 80, ___, ___
- 5, 15, 25, ___, ___
- 7, 14, 28, ___, ___
- 20, 40, 60, ___, ___
- 2, 6, 18, ___, ___
- 1, 1, 2, 3, 5, ___
๐ Section D: Short Answer (36โ45)
- Write next 3 multiples of 5 after 25
- Write next 3 multiples of 10 after 50
- What comes after 999 in pattern of +1?
- Write 3 numbers decreasing by 2 from 20
- Write pattern of multiples of 3 till 15
- Write 4 numbers increasing by 4 from 8
- What is next in pattern: 2, 6, 10, ___
- What is next in pattern: 5, 15, 25, ___
- Write pattern of +7 starting from 7
- Write 3 numbers after 100 increasing by 10
๐งฉ Section E: Case-Based Questions (46โ50)
๐ฆ Case Study: Stacking Boxes
A worker stacks boxes in rows:
1st row = 2 boxes
2nd row = 4 boxes
3rd row = 6 boxes
- How many boxes in 4th row?
- How many in 5th row?
- What pattern is followed?
๐ซ Case Study: Class Bench Arrangement
Each row has 5 more students than previous row.
1st row = 5 students
2nd row = 10 students
- How many students in 3rd row?
- What is the rule of pattern?
โ Answer Key
Section A
- 8, 10
- 20, 25
- 7, 9
- 40, 50
- 400, 500
- 28, 35
- 36, 45
- 16, 20
- 44, 55
- 12, 15
- 200, 250
- 32, 40
- 24, 30
- 60, 75
- 100, 125
Section B
- +2
- +5
- +3
- +7
- +1
- +10
- +100
- +9
- +6
- +4
Section C
- 10, 13
- 11, 14
- 25, 30
- 81, 243
- 70, 60
- 35, 45
- 56, 112
- 80, 100
- 54, 162
- 8
Section D
- 30, 35, 40
- 60, 70, 80
- 1000
- 18, 16, 14
- 3, 6, 9, 12, 15
- 12, 16, 20, 24
- 14
- 35
- 7, 14, 21, 28
- 110, 120, 130
Section E
- 8
- 10
- +2 pattern
- 15
- +5 pattern
