O Level E Math Complete Topic Breakdown

Understanding the O Level For the best math tuition Singapore, explore our structured programs designed for exam success. E Math syllabus helps you plan your revision effectively. Here’s a complete breakdown of all topics.

Syllabus Overview

The O Level E Math syllabus (4052) is divided into three strands:

  • Number and Algebra
  • – Geometry and Measurement
  • – Statistics and Probability

Number and Algebra (40-45%)

  1. Numbers and Their Operations
  2. – Types of numbers (integers, rational, real)
  3. – Four operations
  4. – Order of operations
  5. – Prime numbers and factorisation

2. Ratio and Proportion

  • Ratio notation and simplification
  • – Direct and inverse proportion
  • – Map scales

3. Percentage

  • Percentage calculations
  • – Percentage increase/decrease
  • – Reverse percentages
  • – Profit and loss

4. Rate and Speed

  • Rate calculations
  • – Speed, distance, time
  • – Average speed

5. Algebraic Expressions and Formulae

  • Simplifying expressions
  • – Expansion and factorisation
  • – Algebraic fractions
  • – Formulae manipulation

6. Functions and Graphs

  • Function notation
  • – Linear functions and graphs
  • – Quadratic graphs
  • – Graphical solutions

7. Equations and Inequalities

  • Linear equations
  • – Simultaneous equations
  • – Quadratic equations
  • – Inequalities

8. Set Language and Notation

  • Set notation
  • – Venn diagrams
  • – Union and intersection

Geometry and Measurement (35-40%)

  1. Angles, Triangles and Polygons
  2. – Angle properties
  3. – Triangle properties
  4. – Polygon properties
  5. – Similarity and congruence

2. Mensuration

  • Perimeter and area
  • – Surface area and volume
  • – Circle properties
  • – Arc length and sector area

3. Coordinate Geometry

  • Distance between points
  • – Midpoint
  • – Gradient
  • – Equation of a line

4. Trigonometry

  • Sine, cosine, tangent
  • – Pythagoras theorem
  • – Bearings
  • – 3D problems

5. Vectors

  • Vector notation
  • – Vector operations
  • – Position vectors
  • – Magnitude

Statistics and Probability (15-20%)

  1. Data Handling
  2. – Data collection
  3. – Data representation
  4. – Mean, median, mode
  5. – Range and standard deviation

2. Probability

  • Simple probability
  • – Combined events
  • – Tree diagrams
  • – Probability of independent events

Topic Weightage for Exams

Paper 1 (2 hours, 90 marks):

All topics tested, emphasis on fundamental skills.

Paper 2 (2.5 hours, 90 marks):

All topics tested, includes more application questions.

Commonly Tested Topics

High frequency:

  • Algebraic manipulation
  • – Linear and quadratic equations
  • – Geometry proofs
  • – Trigonometry
  • – Statistics

Medium frequency:

  • Vectors
  • – Sets
  • – Graphs
  • – Mensuration

Lower frequency but important:

  • Matrices (if in syllabus)
  • – Number patterns

How To Use This Breakdown

  1. Identify Weak Areas
  2. Look at your test results. Which topics do you consistently lose marks in?

2. Prioritise High-Value Topics

Focus more time on frequently tested topics.

3. Don’t Ignore Any Topic

Every topic can appear in the exam.

4. Practise By Topic

Use assessment books organised by topic.

Topic-by-Topic Revision Tips

Algebra:

Master expansion and factorisation first. They’re used everywhere.

Geometry:

Memorise properties. Draw diagrams for every question.

Trigonometry:

Know when to use sin, cos, or tan. Practise bearings.

Statistics:

Use calculators efficiently. Check units carefully.

How Ace Scorers Helps

Our E Math programme covers all topics systematically:

  • Clear explanations
  • – Plenty of practice
  • – Regular testing
  • – Individual attention

Contact us for comprehensive E Math tuition.

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