A collection of mathematical formulas, complete with explanations

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You can use the collection of mathematical formulas in this article to work on math problems from elementary, middle, to high school.

Mathematics has been around since the days of hunter-gatherers. In ancient times, our ancestors used Mathematics to add, subtract and divide food.

Citing the eni.com page, Mathematics began to be taken seriously since the emergence of the Pythagorean Theorem which was discovered by Pythagoras (570-495 BC).

Pythagoras is considered the father of world mathematics, because he has found a very diverse mathematical formula. Since then, many mathematicians have emerged and discovered various other formulas.

For example, Arhimedes with the formula for the volume of a spherical shape, Pierre de Fermat with his calculus formula, to scientists today.

Collection of Elementary to High School Mathematics Formulas

The use of mathematical formulas is very important in everyday life. With the mathematical formula, it can facilitate daily work.

Without Mathematics, the development of the world of technology would not be what it is today. The following is an explanation of a collection of mathematical formulas:

1. Perimeter and Area Formulas of Flat Shapes

*Rectangular

  • Perimeter = (2 x length) + (2 x width)

  • Area = length x width

*Rectangle

  • Perimeter = 4 x side

  • Area = side x side

*Triangle

  • Perimeter = side + side + side

  • Area = 1/2 x base x height

*Parallelogram

  • Perimeter = (2 x a) + (2 x b)

  • Area = base x height

*Trapezoid

  • Perimeter = a + b + c + d

  • Area = 1/2 x number of parallel sides x height

*Kite

  • Perimeter = 2(a + b)

  • Area = 1/2 x D1 x D2

*Circle

  • Perimeter = x diameter or 2 x x radius

  • Area = x radius x radius; where is equal to 22/7 or 3.14

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2. Volume Building Formulas

  • Volume of rectangular rectangular prism = length x width x height

  • Volume of cube = side x side x side

  • Volume of triangular prism = 1/2 x length x width x height

  • Volume of the cylinder = x radius x radius x height

  • Volume of cone = 1/3 x x radius x radius x height

3. Profit and Loss Formula

  • Percentage of profit = (profit/purchase price) x 100%

  • Percentage of loss = (loss/purchase price) x 100%

  • Gross = net + tara

  • Net = gross – tara

  • Tara = gross – net

  • Tara = percent tare x gross

  • Net price = net x price/unit weight

4. Gradient Formula

  • The gradient of the line that passes through the points (0,0) and (x, y) is m = y/x

  • The gradient of the line that passes through the points (x1, y1) and (x2, y2) is m = (y2 - y1)/(x2 - x1)

  • The gradient of the line parallel to the x-axis is 0.

  • The gradient of a line parallel to the y-axis is not defined.

  • The gradient of two parallel lines is m1 = m2.

  • The gradient of two perpendicular lines m1 x m2 = -1

5. Formulas for Sets and Series

  • The nth term formula for an arithmetic sequence Un = a + (n – 1)b

  • The nth term formula for a geometric sequence Un = ar^(n – 1)

  • Number of nth terms of arithmetic series Sn = n/2 (n + Un)

The collection of Mathematical formulas above is the basis of Mathematical formulas for the next stage. By understanding the mathematical formula above, it will be very helpful in terms of working on math problems.

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