There are many math techniques you can learn to improve your problem-solving abilities and potentially solve problems faster. Here are some categorized by area: Basic Operations: Estimation: Estimation is a great way to get an approximate answer to a problem before you solve it exactly. This can be helpful for checking your work or getting a general idea of what the answer should be. There are many estimation techniques you can learn, such as rounding numbers and using place value. Mental Math: Mental math is the ability to perform calculations without using a calculator or other tools. There are many mental math techniques you can learn, such as memorizing multiplication tables and using order of operations. Mental math technique Algebra Techniques: Factoring: Factoring is the process of breaking down a polynomial expression into its constituent parts. Factoring can be helpful for solving equations, simplifying expressions, and graphing functions. Factoring math technique Completing the Square: Completing the square is a technique used to rewrite a quadratic expression in the form (x+h) 2+k. This can be helpful for solving quadratic equations by graphing or using the quadratic formula. Completing the Square math technique Expanding Expressions: Expanding expressions is the opposite of factoring. It is the process of combining terms to form a new polynomial expression. Expanding expressions can be helpful for simplifying expressions and preparing them for other operations. Expanding Expressions math technique Geometry Techniques: The Pythagorean Theorem: The Pythagorean Theorem is a fundamental theorem in geometry that states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Pythagorean Theorem math technique Area and Volume Formulas: There are many formulas for calculating the area and volume of different geometric shapes. Memorizing these formulas can be helpful for solving geometry problems. Here are some common formulas: Area of a rectangle: length × width Area of a triangle = 1/2  base×height