# CBSE Class 6 Maths Formulas

## Important Math Formulas and Equations for CBSE Class 6 - Free PDF Download

Q1: What are the important properties of proportion?

A1: The following are the important properties of proportion:

Addendo – If a : b = c : d, then a + c : b + d

Subtrahend – If a : b = c : d, then a – c : b – d

Dividendo – If a : b = c : d, then a – b : b = c – d : d

Componendo – If a : b = c : d, then a + b : b = c+d : d

Alternendo – If a : b = c : d, then a : c = b: d

Invertendo – If a : b = c : d, then b : a = d : c

Componendo and dividendo – If a : b = c : d, then a + b : a – b = c + d : c – d

Q2: What are the Natural Numbers and Whole Numbers Properties?

A2: The various properties of Natural numbers and Whole numbers are as follows:

**Addition Property**When two natural numbers are added, the result is a natural number.

Eg: 34+145 = 179

Similarly, when two whole numbers are added, the result is a whole number.

Eg: 6+10= 16

**Subtraction Property**The subtraction of two natural numbers may or may not result in a natural number.

Eg: 5 –12 = -9 is not natural number

But 11– 5 = 6 is a natural number

The subtraction of two whole numbers may or may not result in a whole number.

**Multiplication Property**Multiplication of two natural numbers always results in a natural number

Eg: 12 X 6 = 72 is a natural number

Multiplication of two whole numbers always results in a whole number

Ex: 14 X 0 = is a whole number, where 4 and 0 are also whole numbers.

**Division Property**Division of two natural numbers may always not always result in a natural number.

Division of two whole numbers may always not always result in a whole number.

This is because if the result is in fraction or decimal, then they are not considered as natural or whole numbers.

Eg: 4/2 = 2 is natural as well as the whole number.

But 5/2 = 2.5 is neither natural nor the whole number.

Q3: What are the important formulas of mensuration?

A3: Some important formulas of mensuration are as follows:

Square - Area - (side)

^{2}, Perimeter - 4 x sideTriangle - Area - ½ ( b x h ) , Perimeter - Sum of all sides

Rectangle - Area - length x breadth , Perimeter - 2 * ( length + breadth )

Circle - Area - πr

^{2}, Perimeter - 2πr

Q4: What is the order of operations in algebra?

A4: The order of operation in algebra is given as follows:

First preference is given to all the operations inside the brackets.

Then all the operations on roots and exponents must be performed.

This is followed by the division and multiplication operations moving from left to right.

Then all the addition and subtraction operations must be performed from left to right.

NOTE: Students must ensure that all the operations must be performed according to BODMAS: Brackets, Of( Multiplication), Division, Multiplication, Addition and Subtraction.