1. Estimate first.
Before you start, try to estimate what you think the answer might be. Even a rough estimate will help you double-check yourself after you arrive at your answer.

2. Translate problems into something you understand.
When you study equations and formulas, put them into words. The words can help you see a variety of applications. For example: c^2=a^2+b^2 can be translated as the square of the hypotenuse of a right triangle is equal to the squares of the other two sides.

3. Perform opposite operations.
If a problem involves multiplication, check your work by division; add, then subtract; factor, then multiply; find the square root, then the square; differentiate, then integrate.

4. Make a picture.
When you are stuck on a complex math or science problem, try to draw an elaborate colored picture or diagram. Sometimes a visual representation will clear your mind and help you figure out a way to solve it.

5. Write down memorized formulas on your test.
Memorize any formulas you think you’ll need for the exam. Write them all out on your text the moment it gets handed to you. Then you won’t need to worry about forgetting them, which will help your anxiety level.

6. Check your work systematically.
Ask yourself if your answer makes sense. Are the units correct? Is your answer consistent with the parameters of the question? Check your formulas.

7. Write each number clearly.
Write your variables clearly so that you don’t confuse them with other ones – especially variables that look similar like 4 and 9; 1 and 7; x an y

8. Answer the easy questions first.
Begin answering questions that you know right away. This will build your confidence and help you focus your time and energy on the tough ones later. This is a good way to manage your time as well.

9. Show all your work.
Don’t skip any steps when solving math problems. This will help you proof your answers later, and help you avoid any logical mistakes.

10. Organize Your Calculations
Line up your numbers in each step. Use graph paper if it helps. .

11. Finish your test last.
Remain calm and relaxed during your test. Take extra time after you’ve finished your exam to check all your answers thoroughly. Plan on being the last person in class – and don’t worry about others finishing before you.

Any others you would like to recommend?

Please leave a comment . . .

So here are some of my favorites posted on his site — along with some others that I’ve found:

1. Quadratic Formula

2. Elliptic Partial Differential Equations

(Monge-Ampere & Infinity Laplacian)

3. Zermelo-Fraenkel with Choice Axioms of Set Theory

4. Y Combinator

5. All Values (from Zero to Infinity) are Less Than Love

6. Math Lip Tattoo

7. The Continuity Equation

8. Schroedinger’s Equation for the Wavefunction of a Particle

This plugin is a work-in-progress, and may not solve and/simplify everything.

However, it is supposed to handle: reduction of constants, removal of unneeded parentheses, reduction of similar factors and terms, linear equations, quadratics, some polynomial reductions, associative property, and some substitutions.

Use * to multiply, ^ for exponentiation, and / to divide.

Recommended Reading

• How to Multiply Large Numbers Easily
• Firefox Extensions Every Student Should Use
• Free Math Help

Simply divide the even number by two, and multiply the second number by two until you get the simplest numbers possible.

For example:

32 x 125 is the same as:
16 x 250 is the same as:
8 x 500 is the same as:
4 x 1000 = 4,000

Check out 10 Easy Arithmetic Tricks for more math hacks.