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Class 5 Maths Formulas & Calculators

Browse free Class 5 mathematics formulas, solved examples and working calculators. Indian school maths concepts.

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Place Value

d\times 10^n

Value of a digit depends on its position.

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Money Conversion

\text{paise}=100\times\text{rupees}

One rupee equals one hundred paise.

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Total Cost

\text{price}\times\text{quantity}

Multiply price per item by number of items.

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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.

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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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