Creating a formula sheet: Structure, template, and study technique

A useful formula collection consists of more than just equations. Organize them by topic or task type and, for each formula, note the purpose, variables, units, conditions, a brief calculation step, and typical errors. First, create a detailed study version. If you want to take a sheet into an exam, check the precise rules for permitted aids afterward and prepare a separate, rule-compliant version. A private study collection is never automatically a permitted exam sheet.

In short: The best study version can be detailed. An exam version, however, must adhere exactly to the permitted page count, format, content, and edits. Sometimes, only an official formula collection is provided, and your own must stay at home.

Important note: Which formula collection is permitted depends on the rules of your specific exam. Review the examination regulations, list of permitted aids, and exam instructions together. Clarify questions regarding format or content in writing with the relevant authority. Spickboy does not provide any universal guarantee of admission.

You can find further study and regulation topics in the Spickboy™ Guide.

Study sheet, permitted formula collection, or prohibited aid?

Distinguish between these three cases before you start designing:

Version	Purpose	Limit
Private study collection	Understand, organize, and recall material	remains outside the exam unless expressly permitted
Officially permitted exam version	look up permitted formulas in the specified format	page count, handwriting, comments, examples, and monitoring depend on the specific rule
Non-permitted aid	sheet or content outside of permissions	do not bring or use; clarify in advance with the responsible office

The technical or content quality of the sheet does not determine its admissibility. A self-written page may be permitted in one exam, excluded in another, and replaced by an issued document in a third.

Creating a formula collection: seven steps

1. Define the scope

Write at the top of your working draft:

• Subject, module, or field of study,
• Exam or learning objective,
• Scope of topics,
• Source status,
• for exam use: exact format rule.

This prevents you from accidentally mixing formulas from different conventions or courses. Even the same symbol can mean something different in two subjects.

2. Organize by topic or decision

Organizing by chapter makes sense if the tasks mirror the structure of the lessons. Organizing by application is helpful if you first need to decide what is to be calculated. The University of Hamburg lists topics, applications, and task types as possible organizing principles.

Examples of useful groups:

• Geometry → Areas → Rectangle, triangle, circle,
• Statistics → Location → Dispersion → Correlation,
• Business Administration → Percentage calculation → Interest calculation → Cost accounting,
• Electrical Engineering → Basic quantities → Series and parallel circuits.

Use a table of contents or clear marginal terms if the collection spans more than a few pages.

3. Note formula and purpose together

A = a · b alone is concise, but easily confused without context. Add a short functional line:

Purpose: Calculate the area of a rectangle from side length and width.

The purpose should facilitate the decision, not repeat the formula in a long paragraph.

4. Define every variable

Write directly next to the formula what each character stands for. Do not silently assume the same meaning throughout the entire collection.

Example:

• W: percentage value,
• p: percentage rate in percent,
• G: base value.

If a convention differs from the teaching material, adapt it or mark the discrepancy. During preparation, orient yourself to the technical notation used in the course and exam documents rather than introducing an undocumented personal system of abbreviations.

5. Supplement with units and conversion

Errors can arise from mixed units. Therefore, note:

• required input unit,
• unit of the result,
• common conversions,
• a corresponding note for dimensionless quantities.

Example: For v̄ = s / t, distance and time must be entered in compatible units. 150 kilometers in 2 hours result in an average speed of 75 kilometers per hour. If meters and seconds are used, the result unit is meters per second.

6. Make conditions and limits visible

A formula can be mathematically correct and yet inappropriate in a specific case. Therefore, note briefly:

• prerequisites,
• permitted value ranges,
• special cases,
• rounding rules from your course,
• delineation from a similar-looking formula.

For example, v̄ = s / t describes an average value over the considered path and time frame. It is not automatically the speed at every single moment.

7. Test with a task and verify professionally

Cover the formula and first try to name the purpose, variables, and conditions. Then solve a small task. Finally, check with the script, textbook, official collection, or model solution.

The Bavarian method collection for the vocational preparation curriculum explicitly links the construction of a formula collection with the targeted finding and application of formulas. The practical test is therefore part of the creation process, not just for the exam.

Copyable template for every formula

Use this block repeatedly. For the study version, it may be more detailed than for a permitted exam version.

Field	Your entry
Topic / task type	...
Purpose	What am I calculating or deciding?
Formula	...
Variables	Symbol = meaning
Units	Inputs and result
Conditions	When does the formula apply?
Micro-example	Values → insertion → result
Error warning	What do I easily confuse?
Source	Script · book · official collection · version

If the exam rule prohibits examples, comments, or derivations, remove these elements only from the exam version. The detailed study version remains available for practice.

Two completed micro-examples

Percentage value

• Purpose: Calculate the share of a base value.
• Formula: W = (p / 100) · G
• Variables: W percentage value, p percentage rate, G base value.
• Condition: p is entered as a percentage; in decimal representation, the formula must be read accordingly.
• Example: 15 percent of 80: W = (15 / 100) · 80 = 12.
• Error warning: Do not swap percentage value and base value.

Density

• Purpose: Determine mass per volume.
• Formula: ρ = m / V
• Variables: ρ density, m mass, V volume.
• Units: Choose units consistently, e.g., grams and cubic centimeters.
• Example: 54 grams at 20 cubic centimeters: ρ = 54 / 20 = 2.7 g/cm³.
• Error warning: Convert volume to the required unit before entering.

These examples show the format. Only adopt formulas and rounding rules for your material from professionally appropriate sources.

Compress without destroying readability

Lack of space tempts one into tiny handwriting and cryptic abbreviations. That saves space but costs search and error time. Compress in this order:

1. Remove duplicate formulas.
2. Merge similar cases into one clear group.
3. Shorten recurring terms with a visible legend.
4. Break long sentences in purpose, condition, and warning.
5. Reduce examples to one characteristic calculation step.
6. Delete low-priority content.

Only reduce the font size once content compression is complete – and only as much as you can read quickly under normal conditions. A formula collection is not an archive of the entire course.

Use the formula collection as a learning technique

Creating it alone is not full training. Use the collection actively:

• Read only the purpose and write out the formula from memory.
• Cover the variable list and explain each character.
• State the condition and unit before tackling a task.
• Choose the formula for mixed tasks without seeing the heading.
• Mark errors in a separate list and check them again at a later date.

For pure memorization, a question-and-answer version is often more helpful than a fully visible sheet. The article Fast rote learning goes deeper into recall, repetition intervals, and flashcards. In the general study plan, you can enter the formulas as separate work packages and review appointments.

May your own formula collection be brought into the exam?

There is no general answer to this. Three official German examples show the spectrum:

Own handwritten sheets permitted – with narrow limits

The Institute for Mechanics at TU Darmstadt specifies two double-sided handwritten DIN A4 sheets for its written exams. Printed or photocopied versions and example tasks are excluded there. That is an institute rule, not a general university rule.

Formula collection is issued by the IHK

The IHK Berlin leaflet explains for its scope: whether a formula collection is permitted is stated in the respective list of aids. If it is provided, the exam version is issued; your own collection may not be brought in.

Collection is part of the task description

For the exam "Statistical measurement data analysis for biotechnologists," TU Braunschweig explains that no personal formula collection is permitted. The required collection and tables are provided there with the task description.

Do not apply any of these examples to your exam. Check at least:

• own or issued collection,
• number and format of pages,
• handwritten or printed,
• single or double-sided,
• permitted comments, derivations, and examples,
• submission or monitoring,
• currently applicable list of aids.

Depending on the regulations, a non-permitted sheet can be treated as an unauthorized aid. The article Attempted cheating in an exam classifies possible procedures without predicting a sanction for your specific case.

Frequently asked questions about the formula collection

What is the best way to sort a formula collection?

Use the logic of your tasks. Chapters work for clearly separated topics; an order by purpose or task type helps if you first need to choose the appropriate method. Test searching with practice tasks and change unclear groups.

Should every formula contain an example?

In the private study version, a micro-example is helpful for formulas that are difficult to distinguish. For the exam version, the rule decides: Some offices expressly exclude examples, others allow certain comments or provide the collection themselves.

Create by hand or digitally?

Both forms are possible for learning. Digital is easier to sort; handwritten can directly correspond to the later permitted form. For the exam, only the specifications regarding handwriting, printing, copies, and page format count.

How many formulas belong on one page?

As many as are legible and relevant for your declared material – not as many as possible. Remove duplicates and rare details before significantly reducing font size or spacing. An exam rule may additionally set a fixed page count.

Must I memorize formulas despite a permitted collection?

You should at least understand the purpose, variables, conditions, and selection. A collection helps with looking things up but does not decide which formula fits the task. What is actually expected by heart results from the teaching and examination requirements.

May I use a formula collection from the Internet?

For learning, only if you professionally check the content, notation, errors, and scope. For the exam, a third-party printout can be inadmissible despite correct formulas. Clarify the permitted source and presentation format based on the current official rule.

Your next step

Choose a single topic and fill out the template for five important formulas. Afterward, verify each line against a task: purpose, selection, variables, unit, condition, and result. Only when the study version works should you create a separate exam version if necessary – exactly according to the aid rule applicable for it.

Sources and status

Sources verified on August 24, 2026. Exam rules can change; before a specific exam, the current version from the responsible office is authoritative.

• University of Hamburg, SuMO project: Tips for your formula collection, July 15, 2022. Scope: structure, comments, applications, and examples as study and creation aids; specific exam rules remain course-dependent.
• State Institute for School Quality and Educational Research Bavaria: Method collection for the vocational preparation curriculum – Mathematics learning area, commissioned by the Bavarian State Ministry for Education and Cultural Affairs, file/working status February 19, 2021. Scope: exclusively the "formula collection license" on PDF page 16 and its connection of structure, finding, and applying; check the file for a cleared official version before publication.
• Technical University of Darmstadt, Institute for Mechanics: General information on exams, no visible update date. Scope: written exams of the institute mentioned therein; two double-sided handwritten DIN A4 sheets and other local limits.
• Chamber of Industry and Commerce Berlin: IHK leaflet on permitted aids, no visible document date. Scope: vocational training and further education exams within the leaflet and the respective list of aids; personal formula collection is not intended there as an exam version.
• Technical University of Braunschweig, Institute for Production Metrology: FAQ for the exam "Statistical measurement data analysis for biotechnologists", no visible update date. Scope: exclusively the mentioned exam; issued instead of personal formula collection.