E-Math Mastery Checklist
Stop guessing what you don't know. A strategic audit of every E-Math topic from Trig to Statistics.
The O-Level E-Math Mastery Checklist is a strategic audit tool for Secondary 3 and 4 students preparing for the GCE O-Level Elementary Mathematics examination. Unlike a simple formula sheet, this checklist is designed as a 'Gap Diary' — systematically work through each topic area, attempt a TYS question from memory, and only check off topics you can solve without notes. It covers Number & Algebra, Geometry & Trigonometry, Mensuration & Graphs, and Probability & Statistics — the four domains weighted across Paper 1 (short answer) and Paper 2 (structured).
Number & Algebra
- • Standard Form: A × 10ⁿ, where 1 ≤ A < 10
- • Direct Proportion: y = kx | Inverse Proportion: y = k/x
- • Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a
- • Map Scales: Area Scale = (Length Scale)²
Geometry & Trigonometry
- • Sum of Interior Angles: (n - 2) × 180°
- • Sine Rule: a/sinA = b/sinB = c/sinC
- • Cosine Rule: a² = b² + c² - 2bc cosA
- • Area of Triangle: ½ab sinC
- • Angle Properties of Circles (e.g. Angles in same segment, Cyclic quads)
Mensuration & Graphs
- • Arc Length = (θ/360) × 2πr
- • Area of Sector = (θ/360) × πr²
- • Gradient (m) = (y₂ - y₁) / (x₂ - x₁)
- • Distance-Time Graph Gradient = Speed
- • Speed-Time Graph Gradient = Acceleration | Area under graph = Distance
Probability & Statistics
- • P(A) = Number of successful outcomes / Total outcomes
- • Mean (x̄) = Σfx / Σf
- • Standard Deviation: Measures consistency/spread of data
- • Dot plots and Box-and-whisker plots: Compare Median and Interquartile Range
Frequently Asked Questions
What is the difference between an E-Math checklist and a formula sheet?▾
A formula sheet lists formulas for reference. This checklist is a self-assessment tool — it asks you to verify whether you can actually apply each formula by solving a TYS question from memory. It is a diagnostic tool for identifying and closing knowledge gaps before the O-Level exam.
Which O-Level E-Math topics does this checklist cover?▾
It covers all four examination domains: Number & Algebra (Standard Form, Proportions, Quadratic Formula, Map Scales), Geometry & Trigonometry (Interior Angles, Sine/Cosine Rules, Circle Properties), Mensuration & Graphs (Arc Length, Sectors, Gradient, Distance-Time/Speed-Time graphs), and Probability & Statistics (Probability rules, Mean, Standard Deviation, Box-and-Whisker plots).
Is this checklist suitable for both E-Math and A-Math?▾
This specific checklist covers Elementary Mathematics (E-Math / Syllabus 4048) only. We have a separate A-Math Formula Bible resource that covers Additional Mathematics (Syllabus 4049) topics like Calculus, Logarithms, and Trigonometric Identities.
How should I use this checklist for revision?▾
Work through each topic area systematically. For each formula or concept listed, attempt a relevant TYS (Ten-Year Series) question without any notes. If you can solve it correctly, check it off. If not, mark it as a gap and prioritise that topic in your revision schedule. The goal is to have every item checked off before the exam.
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