Math & Statistics
Math & Statistics tools on UniTools: scientific calculator, percentage calculator and more.
The Math & Statistics category covers percentages, fractions, powers, logs, random numbers, quadratic equations, and core descriptive statistics.
It is built for fast checking and everyday calculation work without manual recomputation.
Tools in this category
Scientific Calculator
Free online scientific calculator: sin, cos and tan in degrees or radians, log and ln, powers, roots and factorials. Type the whole expression with brackets and see how it was read.
Percentage Calculator
Eight percentage problems in one calculator: a percentage of a number, what percent one number is of another, the whole from a percentage, adding and subtracting a percentage, change, difference and reverse percentage.
Percent Change Calculator
Work out the percentage change between two numbers, whether prices rose, traffic fell or a salary moved. Shows the direction and the absolute gap.
Fraction Calculator
Do arithmetic with fractions and get the answer in lowest terms. Shows the working method so it is useful for checking homework.
Simplify Fraction
Enter a fraction and get its simplest equivalent form, along with the number both parts were divided by.
Exponent Calculator
Calculate x to the power of y, including negative and fractional exponents. Useful for growth rates, compound interest and scientific work.
Square Root Calculator
Find the square root of any positive number, with enough decimal places for geometry, construction and physics work.
Logarithm Calculator
The logarithm of a number to any base, shown alongside the common log, natural log and binary log of the same number, with a check by raising the base to the power.
Scientific Notation Converter
Scientific notation converter: turn 602,214,076,000,000,000,000,000 into 6.02214076 × 10²³ and back, expand e-notation like 1.5e-9 into digits, and see standard form for very large or very small numbers.
Random Number Generator
Random numbers in any range — one or several at once, with or without repeats. For giveaways, dice rolls, sampling and settling arguments.
Standard Deviation Calculator
Calculate standard deviation, variance and mean from a list of numbers, with both the sample and population formulas.
Quadratic Equation Solver
Solves ax² + bx + c = 0 with the discriminant, showing the full working, a check by Vieta's formulas and the vertex of the parabola; complex roots when D < 0.
Average Calculator (Mean, Median, Mode)
Paste a list of numbers and get the mean with its working, plus the median, mode, range and sum. Shows why the three averages often disagree.
GCD & LCM Calculator
Find the GCD and LCM of two or more numbers at once. Used for simplifying fractions, scheduling repeats and splitting things evenly.
Combinations & Permutations Calculator
Count how many ways you can choose or arrange r items from n. The difference is whether order matters — and it changes the answer hugely.
Roman Numeral Converter
Convert 1 to 3999 into Roman numerals or read numerals back into numbers. Validates the input rather than accepting made-up forms.
Ratio Calculator
Solve a : b = c : x for the missing value, with the ratio reduced to its simplest form and the scale factor shown.
Prime Number Checker
Check whether a number is prime and see its complete factorisation into prime factors, with the smallest divisor found.
Pythagorean Theorem Calculator
Find the hypotenuse from two legs, or a missing leg from one leg and the hypotenuse, plus the triangle's area and perimeter.
Circle Calculator
Enter any one property of a circle and get the other three. Works from radius, diameter, circumference or area.
Number to Words Converter
Convert numbers to words: plain English in US or UK style, dollars, pounds and euros, or the amount line for a check. Reads decimals, negatives and numbers up to 36 digits.
Percent of a Number Calculator
How much a given percentage of a number comes to, with the formula and the value of one percent so you can carry on in your head.
What Percent Is X of Y
The share one number represents of another, what percentage is left over, and the same share written as a fraction.
Add a Percentage Calculator
The figure after a markup: how much was added, what the total becomes, and the multiplier that does it in one step.
Subtract a Percentage Calculator
The price after a discount: how much came off, what remains, and the multiplier that does it in a single multiplication.
Percent Difference Calculator
How much bigger one number is than another and how much smaller the other is than the first — two different answers — plus the ratio and the symmetric difference.
Reverse Percentage Calculator
Given a percentage and what it amounts to, recovers the whole, and shows how much sits in the remaining share.
Fraction to Decimal Converter
Divides numerator by denominator and gives the exact answer: a terminating decimal, or a recurring one with the period in brackets rather than a truncated tail.
Mixed Numbers and Improper Fractions
Converts a mixed number to an improper fraction and an improper fraction to a mixed number, shows the working on one line, simplifies the result and gives the decimal.
Fraction to Percent Converter
Turns a fraction into a percentage and any percentage back into a fully simplified fraction.
Proportion Calculator
Solves a proportion a : b = c : d with the unknown in any of the four places, and inverse proportion, by cross-multiplication, with the working and a check.
Factorial Calculator
The exact value of n! using arbitrary-precision arithmetic, the number of digits, and how many zeros it ends with.
Divisors Calculator
The complete list of divisors, how many there are, their sum, and whether the number is perfect, abundant or deficient.
Prime Factorization Calculator
Canonical factorisation with exponents, the count of distinct primes, and the number of divisors that follows directly from it.
Rounding Calculator
Rounds to any place by five different rules, including round-half-to-even, and reports the error the rounding introduced.
Triangle Calculator
The area of a triangle from its base and height, three sides (Heron's formula), two sides and the included angle, or the legs of a right triangle — with the working, angles and radii.
Trapezoid Calculator
Area from the two parallel sides and the height, plus the midline, perimeter and, for an isosceles trapezoid, the horizontal projection of each leg.
Cylinder Calculator
Volume from the radius or the diameter, in litres whatever units you measure in, plus lateral and total surface area.
Sphere Volume and Surface Area
The volume of a sphere, V = 4/3πr³, and its surface area, S = 4πr², from the radius, diameter, volume, surface area or the edge of a cube it sits inside, with the working, the volume in litres and a table of values.
Cone Volume and Surface Area
The volume of a cone, V = πr²h/3, and of a frustum, with slant height, base, lateral and total surface area, apex angle, and the height or radius from a known volume, answered in terms of π with the working.
Box Volume Calculator
Volume, surface area, space diagonal and total edge length for a rectangular box or a room.
Distance Between Points
Distance in the plane and in space, the midpoint of the segment, and the Manhattan distance along a street grid.
Slope Calculator
The gradient, the line's equation in y = mx + b form, its angle with the x-axis, the grade as a percentage and the perpendicular gradient.
Linear Equation Solver
Solves ax + b = c, shows the working step by step and substitutes the answer back as a check.
System of Equations Solver
Solves a two-unknown system by Cramer's rule, reports the determinant and checks the answer in both equations.
Matrix Calculator
Finds the inverse matrix in exact fractions, the determinant, rank, trace and transpose, multiplies, adds and subtracts matrices up to 6×6, and shows results as tables.
Arithmetic Sequence Calculator
Any term from the first term and the common difference, the sum of the first n terms, and the start of the sequence.
Geometric Sequence Calculator
The nth term, the sum of the first n terms, and the sum of the infinite series where it converges.
Significant Figures Calculator
Sig fig calculator: count how many significant figures a number has, round it to any number of figures, and see it in scientific notation where the count is never ambiguous.
P-value Calculator
The p-value for a one-tailed or two-tailed test, the critical z value, and a plain verdict at your significance level.
Confidence Interval Calculator
Interval bounds from the sample mean, standard deviation and sample size, plus the margin of error and the standard error.
Z-score Calculator
How many standard deviations a value sits from the mean, the percentile it corresponds to, and how unusual that makes it.
Molar Mass Calculator
Works out molar mass from a chemical formula, handles brackets and hydrates, and gives the mass fraction of every element.
Solution Dilution Calculator
Solves C1V1 = C2V2 for any of the four values and shows how much solvent to add.
pH Calculator
Works out pH and pOH from a hydrogen ion concentration or from the dissociation constant of a weak acid.
Ideal Gas Law Calculator
Solves the ideal gas law PV = nRT for pressure, volume, amount of substance or temperature, and gives the molar volume at those conditions.
Density, Mass and Volume
The density formula ρ = m ÷ V in all three shapes: density, mass or volume from the other two, in grams, kilograms, tonnes, cubic centimetres, litres and cubic metres, with the working and g/cm³ converted to kg/m³.
Force, Work and Power
Force from mass and acceleration or entered directly, work W = F · d · cos θ with the angle, and power P = W ÷ t, with the working in watts, kilowatts and horsepower.
Wavelength and Frequency Calculator
Converts wavelength to frequency and back for light, sound in air and sound in water, and gives the photon energy.
Related categories
FAQs
What topics does Math & Statistics cover?
Percentages, percent change, fractions, exponents, roots, logs, scientific notation, random numbers, and statistics.
Is it useful for both study and daily tasks?
Yes. The category fits school, office, and personal calculation needs.
Is there a scientific calculator with functions?
Yes. The category includes a dedicated scientific calculator.
Can I calculate sample and population standard deviation?
Yes. The statistics tool supports both common modes.