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Class 6 Maths Formulas & Calculators

Browse free Class 6 mathematics formulas, solved examples and working calculators. Indian school maths concepts.

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Remainder Relation

\(a=bq+r\)

Dividend equals divisor times quotient plus remainder; 0 ≤ r < |b|.

Learn formula →Arithmetic

Even Number

\(n=2k\)

An integer is even when divisible by 2.

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Odd Number

\(n=2k+1\)

An integer is odd when it is one more than an even integer.

Learn formula →Measurement

Centimetres to Metres

\(m=cm/100\)

Convert centimetres to metres.

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Metres to Kilometres

\(km=m/1000\)

Convert metres to kilometres.

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Grams to Kilograms

\(kg=g/1000\)

Convert grams to kilograms.

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Minutes to Hours

\(h=m/60\)

Convert minutes to hours.

Open calculator →Geometry

Rectangle Perimeter

\(P=2(l+b)\)

Distance around a rectangle.

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Square Perimeter

\(P=4a\)

Four equal sides of a square.

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Rectangle Area

A=l\times b

Area enclosed by a rectangle.

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Square Area

\(A=a^2\)

Area enclosed by a square.

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Fraction of a Quantity

\frac{a}{b}\times N

Find a fractional part of a whole number.

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Fraction Addition

\frac ab+\frac cd=\frac{ad+bc}{bd}

Add two fractions using a common denominator.

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Fraction Multiplication

\frac ab\times\frac cd=\frac{ac}{bd}

Multiply the numerators and denominators.

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Average (Mean)

\bar x=\frac{\sum x_i}{n}

Add values and divide by number of values.

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Percentage

p=\frac{\text{part}}{\text{whole}}\times100

Express part of a whole out of one hundred.

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Percent of a Number

x\times\frac{p}{100}

Calculate a given percentage of a number.

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Ratio Simplification

a:b=\frac{a}{g}:\frac{b}{g}

Divide both terms by their greatest common divisor.

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HCF of Two Integers

\operatorname{HCF}(a,b)

Greatest positive integer dividing both integers.

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LCM of Two Integers

\operatorname{LCM}(a,b)=\frac{|ab|}{\operatorname{HCF}(a,b)}

Smallest nonnegative common multiple; both nonzero for positive LCM.

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Triangle Area

A=\frac12 bh

Half the product of base and perpendicular height.

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Parallelogram Area

\(A=bh\)

Base times perpendicular height.

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Circle Circumference

C=2\pi r

Distance around a circle of radius r.

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Circle Area

A=\pi r^2

Area inside a circle of radius r.

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Simple Interest

SI=\frac{PRT}{100}

Interest on principal P at annual rate R% for T years.

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Profit

\text{Profit}=SP-CP

Selling price minus cost price.

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Profit Percentage

\frac{SP-CP}{CP}\times100

Profit relative to cost price; CP must be positive.

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Discount

D=\frac{MP\times d}{100}

Discount on marked price at rate d%.

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Speed

v=\frac{d}{t}

Speed equals distance divided by elapsed time.

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Distance

\(d=vt\)

Distance at constant speed.

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Time

t=\frac{d}{v}

Travel time at constant nonzero speed.

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Cube Volume

\(V=a^3\)

Volume of a cube with side a.

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Cuboid Volume

\(V=lbh\)

Volume of a rectangular box.

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Cube Total Surface Area

\(S=6a^2\)

Six equal square faces.

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Cuboid Total Surface Area

\(S=2(lb+bh+hl)\)

Sum of areas of six rectangular faces.

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