πŸ“ Common Formulas

24 formulas

Quadratic Formula

x = [-b ± √(b² - 4ac)] / 2a

Use for solving quadratic equations

Pythagorean Theorem

aΒ² + bΒ² = cΒ²

For right-angled triangles

Distance Formula

d = √[(xβ‚‚-x₁)Β² + (yβ‚‚-y₁)Β²]

Calculate distance between two points

Area of Circle

A = Ο€rΒ²

Find circular area

Speed Formula

Speed = Distance / Time

Calculate velocity

Kinetic Energy

KE = Β½mvΒ²

Energy of moving objects

pH Formula

pH = -log[H⁺]

Measure acidity/basicity

Percentage

Percentage = (Part/Whole) Γ— 100

Calculate percentages

πŸ“š Key Definitions

50+ definitions

Photosynthesis

Process by which plants convert light energy into chemical energy stored in glucose, using carbon dioxide and water.

Mitochondria

Cellular organelle that generates adenosine triphosphate (ATP) for cellular energy through oxidative phosphorylation.

Osmosis

Movement of water molecules across a semipermeable membrane from higher to lower water potential.

Catalyst

Substance that accelerates a chemical reaction without being consumed in the reaction.

Biodiversity

Variety of all living organisms and their genetic information within a given ecosystem or on Earth.

Democracy

Form of government in which power rests with the people and is exercised through representation or direct participation.

πŸ› οΈ Study Tools & Tips

Learning strategies
✍️

Cornell Note-Taking

Divide page into notes, cues, and summary sections. Effective for lectures and reading.

πŸ—ΊοΈ

Mind Maps

Visual diagrams to organize information hierarchically. Great for brainstorming and revision.

🎯

Pomodoro Technique

Study for 25 minutes, take 5-minute breaks. Enhances focus and productivity.

πŸ“Š

Spaced Repetition

Review material at increasing intervals to move information to long-term memory.

πŸ’¬

Teach Others

Explaining concepts to peers reinforces understanding and identifies gaps in knowledge.

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Active Recall

Test yourself without looking at notes. Strengthens memory and learning retention.

🌐 Recommended Websites

Trusted learning platforms

Khan Academy

Free videos and exercises covering math, science, humanities and more.

Visit Site β†’

Coursera

Courses from top universities and companies worldwide.

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MIT OpenCourseWare

Free course materials from MIT including lectures and exams.

Visit Site β†’

Brilliant.org

Interactive problem-solving platform for STEM learning.

Visit Site β†’

TED-Ed

Educational videos on diverse topics with interactive elements.

Visit Site β†’

Wikipedia

Free online encyclopedia with comprehensive articles on most topics.

Visit Site β†’

βš›οΈ Periodic Table Quick Reference

1
H
Hydrogen
1.008
6
C
Carbon
12.01
7
N
Nitrogen
14.01
8
O
Oxygen
16.00

And 114+ more elements...