How to Memorize Math Formulas Quickly (and Keep Them)
Here's how to memorize math formulas quickly: first cut the list down to only the ones you're not given in the exam. Then derive or explain each one once so it makes sense, turn it into a flashcard with a worked example on the back, and rewrite the whole list from memory every few days. Use each formula in a real question the same day you learn it. That's how they stick past test day.
If formulas keep falling out of your head between lessons and tests, FlashDeck turns your notes into flashcards and only shows the ones you're about to forget. Build my study plan
Memorize fewer formulas than you think
Most people start by trying to learn every formula in the textbook. That's a trap. Before you memorize anything, find out which formulas you'll actually be given.
- GCSE maths (UK): In recent exam years, students in England have been given a formulae sheet in GCSE maths exams. What's on it, and whether it continues for your year, can change, so ask your teacher for the current one and learn everything that isn't on it.
- SAT (US): The digital SAT gives you a reference sheet with key geometry formulas.
- A level, AP and grade 12 (Canada): You usually get a formula booklet, but it doesn't cover everything. Know what's missing.
Print the sheet. Highlight what's on it. Everything that's not highlighted is your real list. Usually, it's way shorter than you feared.
(There's a quick "given vs must know" table at the end of this post.)
Understand where each formula comes from
This sounds slower. It's actually the fastest way to memorize equations, because a formula you understand is a formula you can rebuild when your memory glitches.
Derive once, then drill
For each formula on your list, spend 2 minutes on "why":
- Area of a triangle = ½ × base × height. A triangle is half a rectangle. Done, you'll never forget the ½.
- Circumference = 2πr. The diameter is 2r, and π is how many diameters fit around a circle. So πd = 2πr.
- Gradient (slope) = change in y ÷ change in x. Rise over run: how far up for every step across.
- Pythagoras: a² + b² = c². The squares on the two short sides add up to the square on the longest side (the hypotenuse).
You don't need to prove everything. You need one sentence that makes it click. This is the Feynman idea in action; see our post on Feynman technique vs active recall for how to do it with any topic.
Math formula tricks that actually help
- Patterns. Area of a trapezium is (a + b) ÷ 2 × h, which is just the average of the parallel sides times the height.
- Mnemonics. SOH CAH TOA for trig ratios is a classic for a reason.
- Songs. The quadratic formula song (sung to "Pop Goes the Weasel") has been stuck in students' heads for decades. If it works, it works.
- Units. Area is always something squared; volume is always something cubed. If your formula gives the wrong units, it's wrong.
Formula flashcards that actually work
A card that just says "Quadratic formula" on the front and the formula on the back only trains half the skill. You also need to know when to use it and how.
The three-part formula card
- Front: a prompt that describes the situation. "Solving ax² + bx + c = 0 when it won't factorize."
- Back, top: the formula.
- Back, bottom: a tiny worked example with numbers.
Example card:
- Front: How do you find the distance between two points (x₁, y₁) and (x₂, y₂)?
- Back: d = √((x₂ − x₁)² + (y₂ − y₁)²). Example: (1, 2) to (4, 6) gives √(9 + 16) = √25 = 5.
That's how to memorize algebra formulas effectively: the example proves to your brain that you can use it, not just recite it.
Chemistry and physics formulas too
The same card format works for how to memorize chemistry formulas (moles = mass ÷ molar mass) and physics equations (speed = distance ÷ time). Put the units on the back too. Examiners love units.
Here's where the solo method wobbles. Once you have 40 formula cards across maths, physics and chemistry, it's hard to track which ones you keep fumbling and which ones you've got.
FlashDeck handles that. Paste your formula notes and it turns them into flashcards, then each day it only shows the ones you're about to forget. The quadratic formula you keep blanking on comes back; the area of a rectangle doesn't. Build my study plan
Rewrite the sheet from memory
This one is simple and slightly brutal.
- Take a blank page.
- Write every formula on your "must know" list from memory. No peeking.
- Check against your list. Circle any you missed or got wrong.
- Make those circled ones your priority flashcards.
- Repeat in 2 days, then 4 days, then a week.
This is called blurting, and it works because it forces you to pull every formula out of your head, not just recognize it. By the third round, the blank page fills up fast. Do it the morning of a test too as a warm-up; some people even jot key formulas on scrap paper at the start of the exam, if your exam rules allow scrap paper.
Use each formula in a question the same day
Learning a formula without using it is like learning a dance move without music. It doesn't stick.
The same-day rule
- Learn a formula, then do 3 questions that need it the same day.
- The next day, do 1 question that needs it mixed with other topics.
- In a week, do a past paper question where you have to spot which formula to use.
That last step matters most. In exams, nobody tells you which formula to use. Recognizing "oh, this is a Pythagoras question" is its own skill.
If you have mocks coming, fit this into our 2-week mock revision timetable, where maths gets its own past-paper lane.
How to memorize calculus formulas
Calculus (A level, AP Calc, grade 12) has a lot of rules. Group them into families: derivatives of powers, trig, exponentials and logs, then the chain, product and quotient rules. Learn one family per day and do questions on just that family before mixing. Derivative and integral pairs make great two-sided cards.
Formulas you get vs formulas you must know
A quick guide. Always check the official sheet for your exam and year, because they change.
| Exam | Typically given (check your sheet) | Commonly must know |
|---|---|---|
| SAT math | Area of circle, rectangle, triangle; circumference; Pythagoras; special right triangles; volumes of box, cylinder, sphere, cone, pyramid; 360° in a circle, 180° in a triangle | Slope, slope-intercept form, quadratic formula, discriminant, equation of a circle, percent change, exponential growth |
| GCSE maths (England) | A formulae sheet has been provided in recent years; check your year's version | Anything not on your sheet, plus area of rectangle and triangle, circle basics, and how to use each formula |
| A level / AP / grade 12 | Formula booklet, often big | Core derivatives, key identities, anything missing from the booklet |
The "must know" column is where your flashcards go.
Lock in your formula list tonight
Knowing how to memorize math formulas quickly comes down to three things: learn fewer, understand each one, and drill them with spacing. FlashDeck does the spacing part for you, turning your notes into cards and showing only what you're about to forget. It runs in the browser on your phone or laptop, no download, starting with a free check-in.
FAQ
How can I remember maths formulas easily?
Understand where each formula comes from in one sentence, then use it in a few questions the same day. Make flashcards with a worked example on the back and review them over several days. Rewriting the formula list from memory every few days locks them in.
What is the fastest way to memorize formulas?
Cut your list to only the formulas you won't be given, then blurt them onto a blank page and check. Turn anything you miss into flashcards. Short daily reviews beat one long cram.
What math formulas do you need to memorize for the SAT?
The SAT reference sheet covers basic geometry, so focus on algebra: slope, the forms of a line, the quadratic formula, the discriminant, the equation of a circle and percent change. Check the College Board's current reference sheet to be sure.
How do I memorize physics equations?
Treat them like math formulas: learn what each letter means and its unit, then use the equation in questions straight away. Put the equation, the units and a quick worked example on each flashcard.