Simple Math Tools

Question 1 — Two-Point Linear Equation

Problem: A straight line passes through the points (x₁, y₁) = (4, 5) and (x₂, y₂) = (8, 15). Find the equation y(x) = m·x + n that goes through both points and its derivative y′(x).

Solver 1 — Equation & Derivative

Question 2 — Linear Interpolation

Problem: The known data points are (x₁, y₁) = (4, 5) and (x₃, y₃) = (8, 15). What is the value of y at x₂ = 4.6 using linear interpolation?

Solver 2 — Linear Interpolation

x₁:

y₁:

x₂:

y₂:

x₃:

y₃:

Equation:

Value:

Question 3 — Number Base Converter

Problem: Convert the decimal number 56 (base 10) into binary (base 2) and show its positional expansion using powers of the base.

Solver 3 — Number Base Converter

Question 4 — Arithmetic Series Sum

Problem: What is the sum of all integers from 1 to 100 with a step of 1? (Classic Gauss problem — answer should be 5050.)

Solver 4 — Arithmetic Series Sum

Question 5 — Cylindrical Tank Volume

Problem: A vertical cylindrical tank has an inner diameter of 500 mm and a height of 1200 mm. What is its volume in m³ and litres? (1 m³ = 1000 L)

Solver 5 — Cylindrical Tank Volume

Enter two values. 1 m³ = 1000 L, 1 m = 1000 mm

Diameter:

Height:

Volume:

m³

Liters:

Question 6 — Rectangular Tank Volume

Problem: A rectangular tank measures 800 mm wide, 600 mm long and 500 mm high. What is its volume in m³ and litres?

Solver 6 — Rectangular Tank Volume

Enter three values. 1 m³ = 1000 L, 1 m = 1000 mm

Width:

Length:

Height:

Volume:

m³

Liters:

Frequently Asked Questions

What does Math Tools do?

Math Tools bundles small online calculators in one page: a two-point linear equation and derivative finder, a linear interpolation calculator, a base (radix) converter, a sum-of-series calculator, and cylindrical and rectangular tank volume calculators.

How does the two-point linear equation calculator work?

Enter the coordinates of two points (x₁, y₁) and (x₂, y₂). Pressing Equation returns the straight line y(x)=m·x+n through both points; Derivative returns the constant slope y'(x)=m.

How do I do a linear interpolation between two points?

Provide the known points (x₁, y₁) and (x₃, y₃) and a target x₂ between them. The tool computes the linear equation and the interpolated value y(x₂) instantly — useful for table look-ups in engineering data sheets.

How do I sum a series of consecutive numbers?

Enter the minimum, maximum and step. The calculator uses the arithmetic-series formula sum = ((max+min)/2) · (((max-min)/step)+1). Example: from 1 to 100 with step 1 the sum is 5050.

How do I convert a decimal number to another base?

Type a positive integer and choose a target base (2 = binary, 8 = octal, 16 = hexadecimal, etc.). The converter shows the result and the positional expansion using powers of the base, e.g. 255 = FF₁₆.

How do I calculate cylindrical or rectangular tank volume?

Enter any two known dimensions in millimetres (diameter and height for a cylinder, or width, length and height for a prism) or enter the volume in cubic metres. The calculator solves the missing dimension and converts the volume to litres (1 m³ = 1000 L).

Is Math Tools free to use?

Yes. Every calculator runs entirely in your browser. There is no sign-up, no installation and no usage limit.