GALAXY OF TOOLS

MATH SECTOR · 31 TOOLS

Free Math Calculators Online

Percentages, fractions, equations, statistics and geometry, solved instantly. 31 free tools, no sign-up.

Everyday maths9

Algebra & numbers10

Geometry4

Statistics, probability & numerals4

Physics & electrical4

Math calculators that show the working

Some sums are too fiddly for mental arithmetic and too quick to justify opening a spreadsheet. What is 18% of 2,450? What is 3/8 plus 5/12? How do you solve 2x² − 7x + 3 = 0? These free math calculators answer questions like these instantly and, just as importantly, show the formula or the steps, so you can check the result and learn the method instead of copying a number, which helps when a teacher wants to see the working too.

The collection runs from everyday arithmetic to school and college topics. The percentage calculator handles discounts, marks and growth, the fraction calculator simplifies and works with mixed numbers, the scientific calculator covers trigonometry, logs and powers, and the quadratic equation solver gives exact roots with a plotted parabola. Statistics, geometry, number theory and conversions such as Roman numerals each have dedicated tools as well. You will also find tools for exponents, logarithms, factorials, ratios, rounding and scientific notation, each focused on doing one job clearly.

Students use them to check homework and revise for board exams, SATs or GCSEs, teachers use them to prepare worked examples, and parents use them to make sense of the methods their children bring home. Everything is calculated in your browser, so answers appear as you type, with no sign-up and nothing sent anywhere. For money and measurements, the finance calculators and unit converters work the same way.

Finding the right calculator

A few tools overlap, so here is how to pick the one that fits your question:

  • Percentage or percentage change. Use the percentage calculator for “what is X% of Y” and “X is what percent of Y”. Use the percentage change calculator to compare an old and a new value, such as a price rise or a drop in marks.
  • Average or spread. The average calculator gives the mean, median, mode and range. When you need to know how spread out the numbers are, the standard deviation calculator shows sample and population results with a step table.
  • LCM or GCD. Adding fractions needs a common denominator, which is the least common multiple; simplifying a fraction needs the greatest common divisor. The LCM and GCD calculator finds both with prime factor tables.
  • Area or volume. Flat shapes such as a floor or a plot of land need the area calculator; solids such as a water tank or a box need the volume calculator.

Getting answers you can trust

A calculator is only as good as the numbers and settings you give it. These habits help:

  • Mind the order of operations. The scientific calculator follows standard precedence (brackets, powers, multiplication and division, then addition and subtraction), so add brackets when you mean something else.
  • Check whether you are in degrees or radians before using sin, cos or tan. It is the most common cause of a “wrong” trigonometry answer.
  • Round only at the end. Rounding intermediate results adds error, so keep full precision and round the final answer to the places your question asks for.
  • For cheques and legal documents, the number to words converter spells out amounts in the international system or the Indian lakh and crore system.

Math Calculators: frequently asked questions

How do I calculate a percentage of a number?

Multiply the number by the percentage and divide by 100. For example, 18% of 2,450 is 2,450 × 18 ÷ 100 = 441.

What is the difference between sample and population standard deviation?

Population standard deviation divides by n and describes a complete data set. Sample standard deviation divides by n − 1 to correct for working from a subset, so it comes out slightly larger.

Do these calculators show step-by-step solutions?

Many do. The fraction, quadratic, square root, LCM and GCD, logarithm and standard deviation tools show the working alongside the answer, so you can follow the method.

How do I check whether a large number is prime?

Use the prime number checker. It tests the number, shows its prime factorisation if it is not prime, and finds the nearest primes on either side.

What is the difference between decimal places and significant figures?

Decimal places count digits after the decimal point, while significant figures count from the first non-zero digit. So 0.004567 is 0.00 to two decimal places but 0.0046 to two significant figures.

Can I use the scientific calculator for exam practice?

Yes. It covers the functions of a typical school scientific calculator, including trigonometry, logarithms, powers, roots and factorials. Check your exam rules, though, because most exams allow only approved handheld calculators.