🌈 Class 4 Maths Formulas – All Important Formulas, Rules and Examples
🎉 Welcome to Maths Wallah!
Hello, little mathematicians! Are you ready to explore the wonderful world of Mathematics? This colourful study guide covers numbers, addition, subtraction, multiplication, division, fractions, measurement, time, money and geometry.
⭐ Learn formulas, read solved examples and test yourself with interactive questions!
🔢 1. Numbers and Place Value
Place value tells us the value of a digit according to its position.
| Place | Value |
|---|---|
| Ones | 1 |
| Tens | 10 |
| Hundreds | 100 |
| Thousands | 1,000 |
| Ten Thousands | 10,000 |
Expanded form = 40,000 + 7,000 + 300 + 50 + 2
Face value of 7 = 7
Place value of 7 = 7,000
- Successor = Number + 1
- Predecessor = Number − 1
- Smallest five-digit number = 10,000
- Greatest four-digit number = 9,999
🎯 Try It: What is the place value of 6 in 36,425?
⚖️ 2. Comparing Numbers
45,678 > 45,587
12,345 < 23,456
67,890 = 67,890
🎯 Try It: Which number is greater, 54,321 or 54,231?
📊 3. Ascending and Descending Order
⬆️ Ascending Order
Arrange numbers from smallest to largest.
1,245, 2,345, 3,456, 4,567⬇️ Descending Order
Arrange numbers from largest to smallest.
4,567, 3,456, 2,345, 1,245🎯 Try It: Arrange 450, 125, 300 in ascending order.
➕ 4. Addition Formulas
Addition combines two or more quantities.
2,345 + 1,234 = 3,579
4,567 + 2,345 = 6,912
5,678 + 1,322 = 7,000
Important Addition Rules
- 456 + 0 = 456
- 25 + 35 = 35 + 25 = 60
- 99 + 1 = 100
278 + 156 ----- 4348 + 6 = 14. Write 4 and carry 1.
7 + 5 + 1 = 13. Write 3 and carry 1.
2 + 1 + 1 = 4.
Answer = 434
🎯 Try It: Calculate 3,456 + 2,789.
➖ 5. Subtraction Formulas
Subtraction finds the difference between two quantities.
5,678 − 2,345 = 3,333
8,000 − 3,456 = 4,544
7,500 − 2,750 = 4,750
Example: 8,000 − 3,456 = 4,544.
Check: 4,544 + 3,456 = 8,000.
🎯 Try It: Calculate 9,000 − 4,675.
✖️ 6. Multiplication Formulas
Multiplication is a shortcut for repeated addition.
25 × 4 = 100
125 × 6 = 750
234 × 5 = 1,170
125 × 12 = 1,500
Important Multiplication Rules
- 456 × 1 = 456
- 456 × 0 = 0
- 12 × 8 = 8 × 12 = 96
🎯 Try It: There are 24 boxes with 6 pencils in each. How many pencils?
➗ 7. Division Formulas
Division means sharing equally or making equal groups.
When there is a remainder:
144 ÷ 12 = 12
157 ÷ 12 = 13 remainder 1
Check: 12 × 13 + 1 = 157.
- 8 ÷ 8 = 1
- 0 ÷ 5 = 0
- Division by zero is undefined.
- The remainder must be smaller than the divisor.
🎯 Try It: Share 168 sweets equally among 12 children.
🔄 8. Multiplication and Division Relationship
Multiplication helps us check division, and division helps us check multiplication.
🧩 9. Factors and Multiples
A factor divides a number exactly. A multiple is obtained by multiplying a number by 1, 2, 3 and so on.
1, 2, 3, 4, 6, 12
First five positive multiples of 4:4, 8, 12, 16, 20
🎯 Try It: Name all the factors of 10.
🎯 10. Odd and Even Numbers
🟢 Even Numbers
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Even numbers end in 0, 2, 4, 6 or 8.
🟣 Odd Numbers
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Odd numbers end in 1, 3, 5, 7 or 9.
🎯 Try It: Is 3,468 odd or even?
🍕 11. Fractions
A fraction represents equal parts of a whole.
- Numerator: Number of parts being considered.
- Denominator: Total number of equal parts.
One-half = 1/2
One-third = 1/3
One-quarter = 1/4
Three-quarters = 3/4
Finding a Fraction of a Quantity
Half of 24 = 24 ÷ 2 = 12.
One-third of 18 = 18 ÷ 3 = 6.
One-quarter of 32 = 32 ÷ 4 = 8.
Equivalent Fractions
Equivalent fractions represent the same value.
Multiply or divide the numerator and denominator by the same non-zero number to get an equivalent fraction.
Adding Fractions with the Same Denominator
🎯 Try It: Find one-quarter of 36.
📏 12. Measurement Formulas
Length and Distance
1 m = 100 cm
1 km = 1,000 m
5 m = 500 cm
3 km = 3,000 m
Weight
4 kg = 4,000 g
2 kg 500 g = 2,500 g
Capacity
3 L = 3,000 mL
2 L 250 mL = 2,250 mL
🎯 Try It: Convert 7 metres into centimetres.
🕒 13. Time Formulas
| Time Unit | Relationship |
|---|---|
| Minute | 1 minute = 60 seconds |
| Hour | 1 hour = 60 minutes |
| Day | 1 day = 24 hours |
| Week | 1 week = 7 days |
| Year | 1 year = 12 months |
5 hours = 5 × 60 = 300 minutes.
3 minutes = 3 × 60 = 180 seconds.
2 days = 2 × 24 = 48 hours.
Elapsed Time
Elapsed time is the time between a starting point and an ending point.
Elapsed time = 1 hour 30 minutes.
🎯 Try It: How many minutes are there in 6 hours?
💰 14. Money Formulas
₹125 + ₹250 = ₹375
₹500 − ₹275 = ₹225
Cost of a school bag = ₹650
Money paid = ₹1,000
Change = ₹1,000 − ₹650 = ₹350.
🎯 Try It: A book costs ₹375. You pay ₹500. Find your change.
📐 15. Geometry and Shapes
| Shape | Important Property |
|---|---|
| Triangle | 3 sides |
| Square | 4 equal sides |
| Rectangle | Opposite sides equal |
| Circle | Round shape |
| Cube | 6 square faces |
| Cuboid | 6 rectangular faces |
| Sphere | Ball-shaped |
| Cylinder | Two circular ends and a curved surface |
| Cone | One circular base and a pointed top |
Lines and Angles
- A line extends endlessly in both directions.
- A line segment has two endpoints.
- A ray has one endpoint and extends in one direction.
- A right angle measures 90°.
- An acute angle is less than 90°.
- An obtuse angle is greater than 90° but less than 180°.
📏 16. Perimeter Formulas
Perimeter is the total distance around the boundary of a closed shape.
Perimeter = 4 × 6 = 24 cm
Perimeter = 2 × (8 + 4) = 24 cm
🎯 Try It: A square has a side of 9 cm. Find its perimeter.
🟦 17. Area: Basic Concept
Area is the amount of surface covered by a flat shape.
Area = 5 × 3 = 15 cm²
Area = 4 × 4 = 16 cm²
Area formulas may be introduced later depending on the school syllabus.
🔢 18. Patterns and Number Sequences
Count by 5: 5, 10, 15, 20, 25, ...
Double each time: 2, 4, 8, 16, 32, ...
Count backwards by 10: 100, 90, 80, 70, ...
Example: 25, 35, 45, 55, __
🎯 Reveal the next number
⭐ 19. All Important Class 4 Maths Formulas
| Topic | Formula or Rule |
|---|---|
| Place Value | Digit × Value of Its Place |
| Expanded Form | Sum of Place Values |
| Successor | Number + 1 |
| Predecessor | Number − 1 |
| Addition | Addend + Addend = Sum |
| Subtraction | Minuend − Subtrahend = Difference |
| Check Subtraction | Difference + Subtrahend = Minuend |
| Multiplication | Groups × Objects per Group |
| Division | Dividend ÷ Divisor = Quotient |
| Division with Remainder | Dividend = Divisor × Quotient + Remainder |
| Half of a Number | Number ÷ 2 |
| One-third of a Number | Number ÷ 3 |
| One-quarter of a Number | Number ÷ 4 |
| Length | 1 m = 100 cm |
| Distance | 1 km = 1,000 m |
| Weight | 1 kg = 1,000 g |
| Capacity | 1 L = 1,000 mL |
| Time | 1 hour = 60 minutes |
| Money | ₹1 = 100 paise |
| Change | Money Paid − Cost |
| Square Perimeter | 4 × Side |
| Rectangle Perimeter | 2 × (Length + Breadth) |
| Rectangle Area | Length × Breadth |
| Square Area | Side × Side |
📝 20. Interactive Maths Challenge
Try all the questions first. Open the answer section only when you have finished!
- Write 56,348 in expanded form.
- Find the place value of 7 in 47,256.
- Calculate 3,456 + 2,789.
- Calculate 8,000 − 3,675.
- Calculate 234 × 6.
- Calculate 864 ÷ 8.
- Find half of 48.
- Find one-third of 27.
- Convert 6 metres into centimetres.
- Convert 5 kilograms into grams.
- How many minutes are there in 4 hours?
- A book costs ₹275. You pay ₹500. Find the change.
- A square has a side of 7 cm. Find its perimeter.
- A rectangle is 9 cm long and 4 cm wide. Find its perimeter.
- A rectangle is 6 cm long and 3 cm wide. Find its area.
- Complete the pattern: 125, 150, 175, 200, __.
🏆 Click Here to Reveal All 16 Answers
- 50,000 + 6,000 + 300 + 40 + 8
- 7,000
- 6,245
- 4,325
- 1,404
- 108
- 24
- 9
- 600 cm
- 5,000 g
- 240 minutes
- ₹225
- 28 cm
- 26 cm
- 18 cm²
- 225
🎉 Conclusion
Congratulations, little mathematicians! 🌟 You have explored important Class 4 Maths formulas, rules and examples.
Practise a little every day, solve the interactive questions and keep discovering the fun of Mathematics.
📚 Maths Wallah
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