📚 CIE A Level Maths Cheat Sheet
🧮 Pure 1 (P1)
📌 Topics in Order of Priority
🔢
🔧
1. Series
✏️
2. Functions
📐
3. Differentiation
4. Coordinate Geometry
🔵
5. ∫ Integration
📏
6. Circular Measure
🟦
7. Trigonometry
8. Quadratics
❓ Priority Questions
➗ Discriminant
🔲 Completing the Square
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🔁 Range, Inverse, Composite Functions
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🔀 Transformations (Trig)
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⚪ Circles
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📏 Perimeter and Area
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🔢 Trig Hidden Quadratics
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🔄 Series (the whole thing)
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🎯 Stationary Point
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📈 Tangents and Normals
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📊 Equation of a Curve
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🎨 Area of Shaded Region
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📊 Probability & Statistics 1 (S1)
📌 Topics in Order of Priority
📈 The Normal Distribution
🎲 Discrete Random Variables
1.
🔢 Permutations and Combinations
2.
📊 Representation of Data
3.
🎰 Probability
4.
5.
❓ Priority Questions
🌿 Stem and Leaf Diagrams
📈 Cumulative Frequency Graphs
●
🔀 Arrangements
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🎲 Probability with Permutations and Combinations
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🌳 Tree Diagrams and Conditional Probability
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🎲 All of Discrete Random Variables
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📈 All of Normal Distribution
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🧮 Pure 3 (P3)
📌 Topics in Order of Priority
🔢
🔲
1. Algebra
✏️
2. Complex Numbers
🧭
3. Differentiation
4. Vectors
🔄
5. ∫ Integration
📏
6. Differential Equations
7. Trigonometry
📈
8. Numerical Solution of Equations
9. Logarithmic and Exponential Functions
📝 Note: ∫ Integration is technically the most important because it extends into differential
equations.
❓ Priority Questions
➗
🔢
● Partial Fractions
📈
● Binomial Expansion
🔄
● Linear Law
✏️
● Compound/Double Angles
🎯
● Implicit Differentiation
🔄
● Stationary Points
● Integration by Substitution
● ∫ Integration by Parts
📏
● Numerical Solutions
🔀
● Angle Between Two Lines
⏳
● Parallel, Intersect, Skew Lines
🔲
● Rates of Change (Differential Equations)
📡
● Argand Diagrams
● Polar/Euler Form
📊 Probability & Statistics 2 (S2)
📌 Topics in Order of Priority
❓ Hypothesis Tests
🎲 Poisson Distribution
1.
📉 Sampling and Estimation
2.
🔄 Continuous Random Variables
3.
🔢 Linear Combinations of Random Variables
4.
5.
❓ Priority Questions
🎲 Poisson Probabilities
🔄 Poisson Approximation to the Binomial Distribution
●
📈 Normal Approximation to the Poisson Distribution
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➕ Sums and Multiples for Linear Combinations
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📘 Continuous Random Variables (Show that k equals, Mean and Variance, and
●
●
📏 Unbiased Estimates
Median)
🎯 Confidence Intervals
●
📊 Sample Mean
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📈 Normal Distribution Hypothesis Test
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🎲 Binomial Distribution Hypothesis Test
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📖 Advice from Cambridge Examiners
✍️ Show all working (especially if using equation solvers on your calculator).
📝 Arrange your solution in a logical manner.
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📏 Bring a compass and protractor for P3.
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✅ Give your answers in the form required by the question.
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📊 Non-exact numerical answers should be given to 3️⃣ significant figures unless stated
●
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🎯 Angles in degrees to 1️⃣ decimal place, angles in radians to 3️⃣ significant figures.
otherwise.
🚫 Don’t round off prematurely.
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🖊 Write clearly and neatly.
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📜 Be aware of the contents of the formula booklet and always check a formula if
●
●
uncertain.
📢 Advice from Takudzwa
🎯 Focus on high-scoring topics.
📄 Do a lot of topical past paper questions.
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😴 Be well-rested leading up to the exam.
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⏳ Time yourself before the exam (1️⃣ hour 50️⃣ minutes is not a lot of time!).
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😌 Relax, everything is under control. You’ve got this. 💪
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⚡ Cometh the hour, cometh the man/woman. The ball is in your court, play ball. ⚡
