Curriculum Formula Sheets & Exam Cheatsheets
Free high-yield revision summaries, formula sheets, qualitative analysis charts, and essay frameworks created by Cambridge, IBDP, SAT, and IELTS specialist instructors.
Complete Pure Mathematics, Algebra & Calculus Cheat Sheet
Cambridge IGCSE (0580/0606) & A-Level (9709)
The definitive formula sheet covering quadratic equations, coordinate geometry, circle theorems, trigonometry identities, differentiation, integration, vectors, and kinematics.
Master Physics Equations & Physical Constants Cheat Sheet
Cambridge IGCSE (0625) & A-Level Physics (9702)
Complete formula bank including Newtonian mechanics, thermal physics, electricity & magnetism, waves, quantum, and nuclear physics with standard SI units.
Organic Reaction Pathways & Qualitative Analysis Sheet
Cambridge IGCSE (0620) & A-Level Chemistry (9701)
Includes stoichiometry equations, cation/anion flame test tables, organic synthesis flowcharts (alkanes, alkenes, alcohols, esters, carboxylic acids), and electrode half-equations.
Digital SAT Desmos Math & Writing Grammar Rules Cheat Sheet
College Board Digital SAT (1500+ Target)
Features built-in Desmos graphing calculator hacks, system of equations regression models, 12 must-know SAT punctuation rules, and transitions logic.
Official IELTS Band 8.5+ Writing & Speaking Templates
British Council & IDP Official IELTS (Academic/General)
Curated by certified examiners: 4-paragraph Task 2 essay blueprint, Task 1 chart report structures, 100 high-scoring academic collocations, and Speaking Part 2/3 starters.
Economics & Business Formulas & 25-Mark Essay Framework
Cambridge IGCSE (0455/0450) & A-Level (9708/9609)
Master Price Elasticities (PED, YED, XED, PES), Monetary vs Fiscal Policy evaluation matrices, Break-Even & Financial Ratio formulas, and Cambridge 25-mark essay structures.
Second Language Grammar & Oral Examination Strategy
IGCSE, IB & Official Language Certifications (DELE, DELF, HSK, JLPT)
High-scoring connectives, subjunctive & past tense triggers, oral picture description formulas, and conversational recovery phrases across English, Mandarin, Malay, French & Spanish.
Evidence-Based Active Recall & Executive Function System
All Curricula & Specialized ADHD/Dyslexia Support
Spaced repetition intervals, the Feynman concept mastering technique, Pomodoro intervals for ADHD focus, and the Cornell Error Log revision routine.
Complete Pure Mathematics, Algebra & Calculus Cheat Sheet
1. Quadratic Functions & Discriminant
💡 Exam Tip: Solve ax² + bx + c = 0
💡 Exam Tip: Δ > 0: two distinct real roots; Δ = 0: two equal real roots; Δ < 0: no real roots
💡 Exam Tip: Vertex at (-p, q); Axis of symmetry x = -p
2. Coordinate Geometry & Sequences
💡 Exam Tip: Parallel lines: m₁ = m₂. Perpendicular: m₁ × m₂ = -1
💡 Exam Tip: Distance d = √[(x₂ - x₁)² + (y₂ - y₁)²]
💡 Exam Tip: a = first term, d = common difference
💡 Exam Tip: For sum to infinity S_∞, |r| < 1
3. Trigonometry & Circle Theorems
💡 Exam Tip: tanθ = sinθ / cosθ
💡 Exam Tip: Area of Triangle = ½ab sinC
💡 Exam Tip: θ MUST be in radians (rad = deg × π / 180)
💡 Exam Tip: Essential for A-Level 9709 P1/P3 integration
4. Differentiation & Integration (Calculus)
💡 Exam Tip: n ≠ -1. For n = -1: ∫ 1/x dx = ln|x| + C
💡 Exam Tip: d/dx [f(g(x))] = f'(g(x)) × g'(x)
💡 Exam Tip: Keep expressions bracketed to avoid sign errors
💡 Exam Tip: ∫ cos x dx = sin x + C, ∫ sin x dx = -cos x + C
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