Math Guides & Tutorials
Short, practical explanations with worked examples. Each guide links to a free tool so you can try the idea on your own numbers.
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Calculator
How to Use a Scientific Calculator8 min read · Learn how to use a scientific calculator: order of operations, degrees vs radians, trig, l…
Calculator Code Mode: Expressions, Shortcuts and the 0000 Game Break6 min read · How Code Mode works: type whole expressions like sin(30)+2^3, use every supported function…
What Is a Calc Solver?6 min read · What people mean by a calc solver (also typed calcsolver, calc solve or solver calc), what…Arithmetic
Order of Operations: PEMDAS and BODMAS6 min read · Learn the order of operations: PEMDAS and BODMAS rules with worked examples, common traps …
How to Calculate Percentages7 min read · Learn how to calculate a percentage, percent change, discounts, tips and percentage increa…
How to Add and Subtract Fractions7 min read · Step-by-step guide to adding, subtracting, multiplying and dividing fractions, finding com…
How to Simplify Fractions5 min read · Learn to simplify fractions to lowest terms using the greatest common factor or repeated d…
How to Convert Units6 min read · Learn how to convert units of length, mass, volume, temperature and speed with conversion …
Ratios and Proportions Explained6 min read · Learn what ratios and proportions are, how to simplify ratios, solve missing values with c…
Converting Fractions, Decimals and Percents8 min read · Learn to convert between fractions, decimals and percents, including repeating decimals, w…
Equivalent Fractions6 min read · Understand equivalent fractions: how to make them, test them by cross-multiplying, and use…
Mixed Numbers7 min read · Learn mixed numbers and improper fractions: how to convert between them and how to add, su…
Negative Numbers7 min read · Understand negative numbers with the number line and learn the sign rules for adding, subt…
Place Value and Rounding7 min read · Learn place value from ones to billions and from tenths to thousandths, write numbers in e…
Multiplication Tricks7 min read · Fast multiplication tricks: times 9, 11, 5 and 25, squaring numbers ending in 5, double-an…
Scientific Notation7 min read · Learn scientific notation: writing large and small numbers, converting to and from standar…
Percentage Increase and Decrease7 min read · Learn to calculate percentage increase and decrease, reverse a percentage change, handle s…Algebra
Exponents and Powers Explained7 min read · Understand exponents and powers with the laws of exponents, negative and fractional expone…
How to Solve Quadratic Equations8 min read · Learn three ways to solve quadratic equations: factoring, completing the square and the qu…
Algebra Basics8 min read · Learn algebra from scratch: variables, expressions versus equations, simplifying, the dist…
Algebraic Expressions8 min read · Understand algebraic expressions: terms, like terms, simplifying, evaluating and expanding…
Polynomials Explained8 min read · Understand polynomials: terms, degree, standard form, monomials, binomials and trinomials,…
Factoring Polynomials9 min read · Learn how to factor polynomials: GCF, trinomials, the ac method, difference of squares, pe…
The Remainder and Factor Theorems7 min read · Understand the remainder theorem and factor theorem: how to find remainders without dividi…
Dividing Polynomials8 min read · Learn to divide polynomials with long division and synthetic division, handle remainders, …
Linear Equations9 min read · Learn linear equations: solving for x, slope-intercept form, finding an equation from two …
Basic Algebra Formulas7 min read · A clear algebra formulas cheat sheet: identities, exponent laws, the quadratic formula, sl…
Algebraic Fractions8 min read · Learn algebraic (rational) fractions: simplifying by factoring, multiplying, dividing, add…Numbers
Factors, Multiples, GCF and LCM7 min read · Understand factors, multiples, prime factorization, the greatest common factor (GCF) and l…
Binary, Decimal and Hexadecimal7 min read · Learn how number systems work: binary, octal, decimal and hexadecimal, place value, conver…
Prime and Composite Numbers7 min read · Learn what prime and composite numbers are, list the primes to 50, test any number by tria…
Divisibility Rules6 min read · Learn quick divisibility rules for 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11, why they work, and h…
Roman Numerals6 min read · Learn Roman numerals: the symbols I V X L C D M, the addition and subtraction rules, conve…Statistics
Geometry
The Pythagorean Theorem Explained6 min read · Understand the Pythagorean theorem a² + b² = c² with a visual proof, worked examples, Pyth…
Degrees vs Radians6 min read · Understand degrees and radians, how to convert between them, why calculators have DEG and …
Types of Triangles7 min read · Learn the types of triangles by sides and by angles, their properties, the triangle inequa…
Angles Explained8 min read · Learn angles: acute, right, obtuse and reflex, complementary and supplementary pairs, vert…
Area and Perimeter8 min read · Learn area and perimeter formulas for rectangles, triangles, parallelograms, trapezoids an…
Volume and Surface Area8 min read · Learn volume and surface area formulas for cubes, boxes, cylinders, cones and spheres with…
Coordinate Geometry7 min read · Learn coordinate geometry: plotting points, the four quadrants, the distance and midpoint …
Trigonometry Basics8 min read · Learn trigonometry basics: sine, cosine and tangent, SOH-CAH-TOA, finding angles and sides…
