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O-Level E-Maths revision: methods, worked examples and practice
Secondary school, working toward the Singapore-Cambridge GCE O-Level. Rae explains, marks and drills Elementary Maths (E-Maths) with your level in mind. Free to try, no install.
Start with a method you can explain, then test it on a question with different numbers. These free lessons cover core 4052 skills and show the reasoning behind each answer.
Start with a complete lesson
Ratio and proportion: sharing, scaling and inverse proportion
Two worked examples, an independent question and common mistakes.
Percentages: reverse percentages and successive changes
Two worked examples, an independent question and common mistakes.
Speed and rates: total distance, total time and unit conversions
Two worked examples, an independent question and common mistakes.
Probability: replacement, tree diagrams and checking outcomes
Two worked examples, an independent question and common mistakes.
A revision routine you can repeat
- Try the short question before opening the answer. Write your units and the relationship you are using.
- Compare your working line by line. Record the first incorrect decision, rather than copying the entire answer.
- Return later and solve a changed question without the worked solution. Then mix topics so the method is not signposted.
Scope: Mathematics 4052, examination year 2026. Check the official syllabus. For 2027 SEC, check your school’s G3 syllabus; do not assume the examination label and code stay the same.
Print the O-Level E-Maths: a four-question revision diagnostic
What Rae does for Maths
- Step-by-step working and feedback on the method you used.
- Mathematical notation and diagrams to support the explanation.
- Hints when you're stuck, practice questions when you're not.
- Snap a photo of the problem, send a voice note, or attach the file.
- Revisit topics with Rae’s notes and practice tools.
Use the SEAB syllabus for O-Level Elementary Maths (E-Maths) (4052) to check which skills you need to practise.
Topics
Whole numbers and the operations performed on them
Syllabus expectations and practice.
Ratio and proportion
Syllabus expectations and practice.
Percentage
Syllabus expectations and practice.
Rate and speed
Syllabus expectations and practice.
Algebraic expressions and formulae
Syllabus expectations and practice.
Functions together with their graphs
Syllabus expectations, worked examples and practice.
Equations and inequalities
Syllabus expectations, worked examples and practice.
Set language and notation
Syllabus expectations and practice.
Matrices
Syllabus expectations and practice.
Angles, triangles and many-sided figures
Syllabus expectations and practice.
Congruence alongside similarity
Syllabus expectations, worked examples and practice.
The properties of the circle
Syllabus expectations, worked examples and practice.
The theorem of Pythagoras and trigonometry
Syllabus expectations, worked examples and practice.
Mensuration
Syllabus expectations and practice.
Geometry using coordinates
Syllabus expectations, worked examples and practice.
Two-dimensional vectors
Syllabus expectations and practice.
Handling and analysing data
Syllabus expectations and practice.
Probability
Syllabus expectations and practice.
How the exam is structured
Paper 1
- Whole paper (90 marks): About 26 short-answer items.
Paper 2
- Whole paper (90 marks): Between 9 and 10 questions that vary in length and mark value; the final question is an extended task applying mathematics to a real-world situation.
What the exam rewards
- AO1 Applying routine methods: recalling facts, terms and notation, lifting information straight from tables, graphs, diagrams and text, and carrying out standard procedures. (45% of the marks)
- AO2 Tackling problems in varied settings: reading a situation to pick the right concept or formula, converting between forms, linking different topics, casting a problem into mathematical terms, choosing and applying suitable techniques, and reading the result back into context. (40% of the marks)
- AO3 Reasoning and communicating: backing up mathematical claims, giving context-based explanations, and setting out mathematical arguments. (15% of the marks)
How it works
Open Rae on the web or in Telegram. Ask a question, attach your working or use voice. Read the explanation, try a follow-up question and use the notes and practice tools to revisit what you learned. AI feedback can make mistakes; check it against your syllabus and your teacher’s guidance.