Elementary Mathematics · Syllabus 4052 · Jurong West

O Level E-Math Tuition in Jurong West

Build confidence in Mathematics with personalised guidance, strong conceptual foundations, and a teacher who genuinely connects with her students.

Explore E-Math Resources

Meet Your E-Math Tutor

Teacher Karen

Teacher Karen

Strong Results, Built on Strong Relationships

Teacher Karen believes that students learn best when they feel understood, supported and confident enough to ask questions. Her close connection with students helps make Mathematics lessons engaging, approachable and effective.

  • Full-time educator · 8 years of teaching experience
  • Secondary Level: Math and Science

A1 & A2 Student Results

Students in Karen's Mathematics classes have achieved A1 and A2 grades. WhatsApp Teacher Karen to discuss your child's level and goals—we can share what to expect from lessons without overpromising outcomes.

Confident Teaching

Karen brings confidence and dedication to helping students strengthen their Mathematics foundations and work towards their academic goals.

Meaningful Student Connections

By building strong relationships with her students, Karen creates a supportive environment where they feel comfortable asking questions, making mistakes and learning.

E-Math Resources & Downloads

2026 O Level Mathematics Syllabus

Singapore-Cambridge O Level Mathematics (4052)

Access the official examination syllabus, learning objectives, and assessment structure.

View / Download Syllabus

2026 O Level E-Math Paper 1 & 2 with Solutions

Paper 1, Paper 2 and worked solutions for revision. Separate downloads will be provided when available.

Coming Soon

Explore the O Level E-Math Syllabus

Topics follow the official Elementary Mathematics syllabus (4052, 2026). Learning objectives below are paraphrased for revision—refer to the official syllabus PDF for the complete list.

N1 · Number and Algebra

Numbers and their operations

Working with integers, fractions, decimals and standard form with correct order of operations.

Key learning objectives
  • Perform four operations on integers, fractions and decimals accurately.
  • Use brackets and apply order of operations (BODMAS).
  • Express numbers in standard form and perform calculations involving it.
  • Round values to a required degree of accuracy and apply significant figures appropriately.
  • Solve practical problems involving basic number operations.

N2 · Number and Algebra

Ratio and proportion

Comparing quantities, sharing in a given ratio, and direct and inverse proportion.

Key learning objectives
  • Express relationships between quantities as ratios in simplest form.
  • Divide a quantity in a given ratio and solve related word problems.
  • Apply direct proportion in practical contexts.
  • Apply inverse proportion where one quantity increases as another decreases.
  • Interpret and use scale factors in maps and models.

N3 · Number and Algebra

Percentage

Percentage change, reverse percentages, and financial contexts such as GST and interest.

Key learning objectives
  • Calculate percentage of a quantity and express one quantity as a percentage of another.
  • Find percentage increase and decrease.
  • Solve reverse percentage problems.
  • Apply percentages to discounts, GST, profit and loss.
  • Interpret simple interest in context.

N4 · Number and Algebra

Rate and speed

Average speed, conversion of units, and distance–time relationships.

Key learning objectives
  • Use speed = distance ÷ time and related formulae.
  • Convert between units of speed (e.g. km/h and m/s).
  • Interpret distance–time graphs and speed–time graphs qualitatively.
  • Solve problems involving average speed for whole journeys.
  • Apply rates in other contexts such as hourly pay or flow rates.

A1 · Number and Algebra

Algebraic expressions and formulae

Simplifying expressions, expansion, factorisation and changing the subject of a formula.

Key learning objectives
  • Use letters to represent numbers and substitute values into expressions.
  • Expand and simplify linear and simple quadratic expressions.
  • Factorise linear expressions and simple quadratics.
  • Change the subject of a formula.
  • Add and subtract algebraic fractions with linear denominators.

A2 · Number and Algebra

Functions and graphs

Linear and quadratic functions, graphs, gradients and intersections.

Key learning objectives
  • Draw and interpret graphs of linear functions.
  • Find gradient and y-intercept from equations and graphs.
  • Sketch graphs of quadratic functions and identify key features.
  • Solve equations graphically by finding intersections.
  • Use functions in simple modelling contexts.

A3 · Number and Algebra

Equations and inequalities

Linear and simultaneous equations, quadratic equations and linear inequalities.

Key learning objectives
  • Solve linear equations and problems leading to linear equations.
  • Solve simultaneous linear equations in two unknowns.
  • Solve quadratic equations by factorisation and using the formula where required.
  • Form and solve equations from word problems.
  • Solve linear inequalities and represent solutions on a number line.

A4 · Number and Algebra

Set language and notation

Sets, Venn diagrams, union, intersection and complement.

Key learning objectives
  • Use set language and notation including ∈, ∪, ∩ and complement.
  • Draw and interpret Venn diagrams for two or three sets.
  • Find numbers of elements in sets from Venn diagrams.
  • Solve problems using set notation in context.

A5 · Number and Algebra

Matrices

Matrix operations, determinants and using matrices to solve problems.

Key learning objectives
  • Add, subtract and multiply matrices where defined.
  • Find the determinant and inverse of a 2 × 2 matrix.
  • Represent information in matrix form and interpret products.
  • Solve simultaneous equations using matrix methods.

G1 · Geometry and Measurement

Angles, triangles and polygons

Angle properties, triangle congruency and polygon angle sums.

Key learning objectives
  • Apply angle properties with parallel lines and at a point.
  • Use sum of angles in a triangle and in polygons.
  • Apply properties of special triangles and quadrilaterals.
  • Construct simple geometrical figures accurately.

G2 · Geometry and Measurement

Congruence and similarity

Tests for congruence and similarity, and scale factors for lengths and areas.

Key learning objectives
  • Identify congruent figures and use congruence tests for triangles.
  • Identify similar figures and use properties of similar triangles.
  • Use scale factors for lengths, areas and volumes of similar solids.
  • Apply similarity in measurement and real-life problems.

G3 · Geometry and Measurement

Properties of circles

Angle properties of circles including angles in the same segment and cyclic quadrilaterals.

Key learning objectives
  • Apply angle properties related to radii, tangents and chords.
  • Use angles in the same segment and at the centre.
  • Apply properties of cyclic quadrilaterals.
  • Solve geometry problems combining circle theorems.

G4 · Geometry and Measurement

Pythagoras' theorem and trigonometry

Right-angled triangles, Pythagoras’ theorem and basic trigonometric ratios.

Key learning objectives
  • Use Pythagoras’ theorem to find unknown sides in right-angled triangles.
  • Apply sine, cosine and tangent ratios for acute angles.
  • Solve problems involving angles of elevation and depression.
  • Use bearings and simple 3D problems involving right triangles.

G5 · Geometry and Measurement

Mensuration

Areas, volumes, surface areas and arcs and sectors of circles.

Key learning objectives
  • Calculate areas of composite plane figures.
  • Find volumes and surface areas of prisms, cylinders, pyramids, cones and spheres.
  • Calculate arc length and area of sectors.
  • Apply mensuration formulae in practical contexts.

G6 · Geometry and Measurement

Coordinate geometry

Gradient, length, midpoint and equations of straight lines on the coordinate plane.

Key learning objectives
  • Find gradient, length and midpoint of a line segment.
  • Find the equation of a straight line given sufficient information.
  • Determine whether lines are parallel or perpendicular.
  • Solve problems involving intersections of lines and geometric figures on grids.

G7 · Geometry and Measurement

Vectors in two dimensions

Vector notation, magnitude, addition, subtraction and simple geometric applications.

Key learning objectives
  • Represent vectors in column form and use vector notation.
  • Add and subtract vectors and multiply by a scalar.
  • Find magnitude of a vector.
  • Apply vectors to simple geometry and translation problems.

S1 · Statistics and Probability

Data handling and analysis

Statistical diagrams, averages and spread for ungrouped and grouped data.

Key learning objectives
  • Construct and interpret bar charts, pie charts, histograms and stem-and-leaf diagrams.
  • Calculate mean, median and mode for data sets.
  • Work with grouped data using midpoints.
  • Understand range as a measure of spread.
  • Draw and interpret cumulative frequency curves and use them to find medians and quartiles.

S2 · Statistics and Probability

Probability

Single and combined events, tree diagrams and expectation.

Key learning objectives
  • Calculate probability of single events.
  • Use probability scale from 0 to 1 and complementary events.
  • Find probabilities of combined events using sample spaces and tree diagrams.
  • Distinguish mutually exclusive and independent events at syllabus depth.
  • Calculate expected value in simple situations.

Our 4-Step E-Math Learning Journey

Understand the concept. Learn from examples. Practise with confidence. Keep improving.

  1. Karen starts by ensuring students understand the mathematical concepts behind each topic. She breaks down challenging ideas into manageable explanations, encouraging students to ask questions until they feel confident.

Tuition Fees

Secondary 3

$280/month

$35/hour

Secondary 4

$320/month

$40/hour

Monthly fees are calculated based on 4 lessons per month, with each lesson lasting 2 hours (8 hours total).

Frequently Asked Questions

Who are the E-Math classes for?

Our O Level E-Math tuition classes are designed for Secondary 3 and Secondary 4 students.

Where and when are the classes held?

Our classes are held at Tuition @ Pioneer, located just a 2-minute walk from Pioneer MRT. For specific class schedules and availability, please WhatsApp Teacher Karen at 9185 0641.

How does Teacher Karen help students improve in Mathematics?

Karen focuses on building strong mathematical foundations through clear explanations, guided examples and regular practice. Her close relationship with students creates a supportive environment where they feel comfortable asking questions and learning from their mistakes.

Ready to Build Confidence in E-Math?

Learn with Teacher Karen in a supportive environment that combines strong mathematical foundations, consistent practice and a genuine connection with students.

Small-group classes near Pioneer MRT, Jurong West.