E-Math Structured Study & Revision Guide

A data-driven, efficient prep strategy and tracking tool

4 Core Topics

6 Satellite Topics

100% Smarter Prep

🚀 A1 Sprint Plan 🔥 Final Mission 📘 SOP Master 📤 Resource Upload

Core Topics

The absolute pillars of the exam, comprising ~75%-85% of the score and difficulty. Each typically appears as a major application question in Paper 2.

Trigonometry Application in Context

Sine/Cosine Rule
2D Bearings
3D Angles of Elevation/Depression
Area of Triangle (½ ab sinC)
Shortest Distance from a Point to a Line
Integration with SOH-CAH-TOA

📚 Study Materials High-Frequency

Quadratic Functions & Graphs

Completing the Square & Vertex Form
Graph Sketching including vertex, axis of symmetry, x/y intercepts
Finding Maximum/Minimum Values
Finding Equation from Graph
Relationship between Roots and Graph Position

📚 Study Materials Key Focus

Comprehensive Algebraic Manipulation

Operations on Algebraic Fractions
Solving Fractional Equations
Changing the Subject of a Formula
Solving Simultaneous Equations
Factorisation

📚 Study Materials Foundation

Geometric Proofs & Similarity/Congruency

Proving Similarity (mainly AA)
Proving Congruency (SAS, SSS, ASA, RHS)
Application of Similarity/Congruency Properties
Ratio of Areas vs. Ratio of Lengths
Properties of parallel lines, rhombus, trapezium

📚 Study Materials Logical Reasoning

Satellite Topics

Lower-value but consistently appearing standalone concepts, usually in Paper 1. Key to securing your foundational marks.

Indices & Standard Form

Laws of Indices
Solving Exponential Equations
Standard Form representation and operations

📚 Study Materials Fundamentals

Statistics & Probability

Mean, Median, Mode from charts
Basic Probability
Data Interpretation & Misleading Graphs

📚 Study Materials Reliable Marks

Ratio & Percentage in Context

Map Scale (length and area)
Simple & Compound Interest
Percentage Change, Profit, Discount
Currency Exchange

📚 Study Materials Practical Math

Coordinate Geometry

Distance between two points
Gradient of a line
Equation of a straight line
Gradients of parallel/perpendicular lines

📚 Study Materials Calculation

Mensuration

Circles, Sectors, Arc Length
Surface Area & Volume of Solids
Ratios in Similar Figures/Solids

📚 Study Materials Formula-based

Inequalities

Solving Linear & Compound Inequalities
Representing solution on a Number Line

📚 Study Materials Logical Basics

📚 Scientific Study Tips

🎯 Prioritization Strategy

Invest 80% of your revision time in the Core Topics, as they form the bulk of the exam score. Ensure you can perform consistently on the comprehensive questions in Paper 2.

⭐ Secure Foundational Marks

Although Satellite Topics have lower scores, they appear consistently. Mastering them ensures you don't lose the easy marks in Paper 1.

🔄 Spaced Repetition

Schedule deep dives into 2-3 Core Topics weekly, while quickly reviewing 1-2 Satellite Topics daily to keep the concepts fresh.

📝 Simulated Practice

Regularly take full mock exams under timed conditions, focusing on time allocation. Core Topics require more practice and deeper thinking.

E-Math Strategic Prep Report: How to Study Smart and Score High

To: Dennis

We have completed a full data analysis of the 2022 End-of-Year exam papers from 11 different schools. The purpose of this report is not to bury you in endless practice questions, but to provide you with a "battle map." This map will show you which territories are most important, which weapons are most effective, and how you can win this exam in the most efficient way possible.

Part 1: Understanding the Battlefield – The Real E-Math Topic Distribution

Studying for an exam isn't about blindly reviewing everything. The data tells us that different topics have vastly different weights in the actual exam.

Topic Category	Approx. Score Weight (%)	Difficulty / Complexity	Your Study Priority
The 4 Core Topics (~80% Score Weight)
1. Trigonometry Application in Context	~25%	★★★★★	Must Master
2. Quadratic Functions & Graphs	~18%	★★★★☆	Must Master
3. Comprehensive Algebraic Manipulation	~20%	★★★☆☆	Must Be Error-Free
4. Geometric Proofs & Similarity/Congruency	~15%	★★★★☆	Must Master the Process
The 6 Satellite Topics (~20% Score Weight)
5. Ratio & Percentage in Context	~5%	★★☆☆☆	Conquer Quickly, Aim for 100% Accuracy
6. Statistics & Probability	~4%	★★☆☆☆
7. Mensuration	~4%	★★★☆☆
8. Coordinate Geometry	~3%	★★☆☆☆
9. Indices & Standard Form	~2%	★☆☆☆☆
10. Inequalities	~2%	★☆☆☆☆

💡 What the Data Tells Us (The Data Doesn't Lie):

The 80/20 Rule is Real: Approximately 80% of your final score comes from just 4 Core Topics. If you are aiming for an A, the vast majority of your time and energy must be invested in deeply understanding and practicing these four modules.
Algebra is the Foundation: While "Comprehensive Algebraic Manipulation" is just one of the core topics, it is the fundamental tool required to solve all other core topics (especially Quadratics and Trigonometry). Any small weakness in algebra will be magnified into a major problem in the application questions.
Satellite Topics are "Easy Marks" but Also "Dangerous Traps": The 6 satellite topics make up about 20% of the score. They aren't difficult, but if you lose marks here due to carelessness or forgetting a formula, you will have no chance to recover those marks in the harder Core Topic sections.

Part 2: How to Learn – Your Phased Study Path

Based on the data, you should adopt a three-phase study path: "Secure the Foundation First, then Conquer the Core, and Finally, Build Speed."

Phase 1: The Satellite Sweep

Goal: To quickly master the 6 satellite topics, build confidence, and ensure you make zero errors on these foundational questions.

Execution Sequence (The most efficient order):

Day 1: "Indices & Standard Form" and "Inequalities".
Day 2: "Ratio & Percentage" and "Statistics & Probability".
Day 3: "Coordinate Geometry" and "Mensuration".

How to study:

Focus on the M-Layer (Memorisation) and P-Layer (Procedure). Write down every relevant formula three times. Then, use the practice sets for timed drills to be both fast and accurate.

Phase 2: The Core Topic Deep Dive

Goal: To truly understand the problem-solving models (SOPs) for the four Core Topics and be able to solve them independently.

Execution Sequence:

Algebraic Manipulation: Master it first to build muscle memory.
Quadratic Functions: Connect algebra with graph features.
Geometric Proofs: Train your logical thinking and formal writing.
Trigonometry Application: The final test of all your skills.

How to study:

For each Core Topic, strictly follow this process: Learn the SOP → Imitate the Model → Self-Correct using your mistake log.

Phase 3: Simulation & Skill Transfer

Goal: To break the boundaries between topics and improve your performance under real exam pressure.

Action:

Full Exam Simulation: Once a week, take a complete 2022 exam paper under timed conditions.
Advanced Variation Training: Complete "Variation Drill Packages" to challenge your thinking.
Self-Assess with Radar Chart: After each mock, update your personal competency radar chart and return to Phase 2 for targeted reinforcement.

🚀 Final Advice

This report gives you the most efficient, data-driven path to success. Stop practicing questions randomly. Starting today, follow this plan. Spend three days securing all the satellite topics, and then invest the majority of your effort in conquering the four Core Topics one by one.

Remember, the goal of learning isn't about how many questions you do, but how much you learn from every single mistake.

Good luck!