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Secondary Maths Tuition:
G3 Mathematics and G3 Additional Mathematics

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Secondary School Maths Tuition

At SG Maths Tuition, I provide small group tuition for Secondary level Maths in Singapore: G3 Mathematics (formerly Elementary Mathematics or E Maths) and G3 Additional Mathematics.

Upper secondary is where most maths grades start to slide. The pace jumps at Secondary 3: algebra becomes the language of every topic, and the methods that worked in lower secondary stop being enough. Many students add G3 Additional Mathematics on top of that, doubling the maths they carry.

I teach both subjects as dedicated tracks:

Some students come to rebuild shaky fundamentals. Some are carrying both subjects at once and feeling the weight of it. Some are aiming for A1s, including students on the Integrated Programme (IP). Whatever the goal, I build each lesson and study plan around the school's sequence and the student's own gaps.

From 2027: students sit the Singapore-Cambridge SEC (formerly Singapore-Cambridge GCE O Levels) at the end of Secondary 4, under Full Subject-Based Banding. G3 Mathematics and G3 Additional Mathematics keep the same topics, two-paper format and A1-9 grades. Only the names and codes change.

The first SEC cohort sits in 2027. They apply through the 2028 Post-Secondary Admissions Exercise, which replaces the Joint Admissions Exercise. For JC, the maths requirement is met by G3 Mathematics or G3 Additional Mathematics.

Learning Materials

Alongside lessons I write up the explanations that come round again and again, as free walkthroughs a student can work through unaided. They are collected on one page and I add to it as I go: browse the secondary maths learning materials.

A Message from Dr Ng

Tutoring has been my full-time work since 2010, the year before I finished my Ph.D. in Mathematics at the National University of Singapore (NUS), where I had earlier completed a B.Sc. with First Class Honours in 2002. Those years aside, upper secondary is simply where I feel I am of most use. It is the stage where G3 Mathematics and G3 Additional Mathematics either knit together for a student or quietly start to drift apart, and I would rather sit beside someone at exactly that turning point than anywhere else.

Dr Ng's photograph

How I teach Secondary level maths

For G3 Maths and G3 A Maths, I take each topic step by step. I help students see the key idea first, then familiarise themselves with the question types that tend to come up in weighted assessments and examinations. Wherever a student starts, the aim is steady gains in understanding and a bit more confidence each week. Carrying both subjects at once is its own challenge, so I keep the two tracks in view together. Where the trouble sits in algebra (indices, algebraic fractions, completing the square) or in geometry (congruency and similarity, polygons, geometric properties of circles), we name the shaky idea plainly, work patiently through practice that fits it, and watch how things move from there.

My Academic Credentials

These degrees say I have spent a long time with the mathematics. They say nothing about whether your child leaves a lesson understanding G3 Maths and G3 A Maths better, and that is the part I care about most.

Ph.D. in Mathematics, National University of Singapore (NUS)

B.Sc. First Class Honours in Mathematics, NUS

GPA: 4.9 / 5.0 (Placed on Dean's List for 4 Semesters)

Associate Faculty, Singapore University of Social Sciences (SUSS)

Why Choose SG Maths Tuition for G3 Mathematics and G3 Additional Mathematics Tutoring?

Small group of students reviewing maths together on a tablet

Small group classes (3 to 4 students)

Schools teach topics in different orders and at different speeds, IP schools included. With three to four students per class, each one works on their own school's material to their own study plan, never a one-size-fits-all worksheet. Lessons stay interactive, and every question gets asked.

Portrait of Dr. Ng explaining a maths concept

A Tutor Who Knows the Subject Well

I hold a Ph.D. in Mathematics and a B.Sc. First Class Honours in Mathematics from the National University of Singapore, and have taught secondary school maths full time since 2010. I know the latest MOE syllabus for both G3 Maths and G3 A Maths in detail, including its growing emphasis on real-world application problems.

Student working through maths practice beside graphed results

Steady Progress, One Foundation at a Time

Most students who struggle have a weak foundation underneath the topic in front of them. I start there and repair it first. Once the basics hold, students work through the recurring question types of every topic until accurate, complete, well-presented solutions feel natural.

Reference books and notes tabbed by maths topic

Comprehensive and Customised Learning Materials

Every student gets personalised worksheets, practice papers and study materials, each one built around what they need. Alongside the textbook, I add exam-focused content that targets the tests and exams ahead.

Calculator and stationery laid out for exam practice

Intensive Examination Preparation

I run June holiday bootcamps, mock tests and timed quizzes that mirror school exams and the national papers. Students learn to handle the time pressure of two-paper maths exams, present working that earns method marks, and stamp out the careless slips that quietly cost grades.

Calculator and notebook ready for timed maths practice

Consistent Feedback and Monitoring

Parents get regular progress updates, which matter most in Secondary 3 and 4, when subject combination and post-secondary choices hang on maths grades. Students hear exactly which topics and habits are costing them marks, and exactly what to revise next.

Step-by-Step Teaching Methodology

Read recent school papers and assignments to pinpoint weak topics, and trace whether the real gaps sit in earlier years' material. Log the key dates: weighted assessments, end-of-year exams.

Build a study plan that tracks the school's teaching sequence for G3 Mathematics and G3 Additional Mathematics while patching earlier gaps in parallel. Set termly goals and spell out honestly what the work demands.

Re-teach concepts and key formulae with plenty of guided practice. Build accuracy and presentation habits early, then drill them with quizzes and timed practice on exam-style questions.

Keep feedback flowing to parents and students. Flag what to revise before each test. In Secondary 3 and 4, show how the preparation should shift as the national exams close in.

Secondary Maths Small-Group Timetable & Booking

G3 Maths & G3 A Maths small-group classes: 2 hours per class, $840 for 8 lessons (billed in advance)

Weekdays (Mon-Fri)

  • 3:00 pm
  • 5:00 pm

Saturday

  • 9:30 am
  • 11:30 am
  • 2:00 pm

Sunday

  • 9:30 am
  • 11:30 am
  • 2:00 pm

Slots subject to availability; contact to confirm.

Topics covered for Secondary School Maths

G3 Mathematics (Syllabus K310)

  1. Prime Factorization, HCF, LCM
  2. Numbers and Approximation
  3. Single and Simultaneous Linear Equations
  4. Linear Graphs including use of linear graphs to solve simultaneous equations
  5. Application Problems involving Linear Graphs
  6. Ratio, Rate, Proportion, Percentages, Simple Interest
  7. Applications of Rate and Percentages including Distance-Speed-Time questions, Income Tax, GST, Hire Purchase, Profit and Loss, Sales Commission, Exchange Rates
  8. Polygons
  9. Geometric Constructions including perpendicular bisector and angle bisector
  10. Mensuration - Squares, Rectangles, Circles, Parallelograms, Rhombuses, Trapeziums, Cubes, Cuboids, Prisms, Cylinders, Pyramids, Cones, Spheres and Hemispheres
  11. Number Patterns
  12. Single and Combined Linear Inequalities
  13. Expansion and Factorization
  14. Special Algebraic Identities
  15. Algebraic Fractions
  16. Making a Variable the Subject of the Formula
  17. Quadratic Functions, Completing the Square, Quadratic Graphs
  18. Equations involving Quadratic Expressions, Algebraic Fractions, and Applications to Real World Problems
  19. Indices, Standard Form, Compound Interest
  20. Coordinate Geometry
  21. Graphs of Functions and Graphical Solutions
  22. Pythagoras' Theorem, Trigonometry and Further Trigonometry
  23. Applications of Trigonometry
  24. Arc Length, Sector Area, Radian Measure
  25. Congruency and Similarity Tests for Triangles
  26. Areas and Volumes of Similar Figures and Solids
  27. Geometric Properties of Circles
  28. Sets
  29. Probability of Single and Combined Events
  30. Matrices and their use in Real World Problems
  31. Statistical Data Analysis
  32. Vectors
  33. See my dedicated G3 Maths tuition page for the full programme

G3 Additional Mathematics (Syllabus K341)

  1. Quadratic Functions, Equations, Graphs, Completing the Square, use of the Discriminant, Quadratic Inequalities, Simultaneous Equations involving a Linear and Quadratic Equation, Applications of Quadratic Functions
  2. Surds and Application Problems involving Surds
  3. Polynomials including Factor and Remainder Theorems, Cubic Equations, Cubic Identities, Partial Fractions
  4. Binomial Theorem and its Applications
  5. Exponential and Logarithmic Functions and Equations, Exponential and Logarithmic Graphs
  6. Coordinate Geometry including distance formula, midpoint formula, perpendicular lines, shoelace formula, angle between line and axes
  7. Linear Law
  8. Trigonometric Graphs
  9. Trigonometric Functions and Equations including Basic Angle, ASTC
  10. Trigonometric Identities and Formulae including Compound Angle, Double Angle and Half Angle Formulae, R-Formulae, Proving Identities
  11. Differentiation: Gradients, Derivatives, Differentiation Techniques
  12. Applications of Differentiation: Increasing and Decreasing Functions, Tangent and Normal Lines, Rates of Change, Stationary Points including First and Second Derivative Tests, Maxima and Minima Problems
  13. Differentiation of Trigonometric, Exponential, Logarithmic Functions, and their Applications
  14. Integration
  15. Applications of Integration: Definite Integrals, Area Under a Curve, Area Bounded by a Curve and Lines
  16. Areas of Regions Below the x-axis
  17. Kinematics
  18. Proofs in Plane Geometry: Using concepts from congruency and similarity of triangles, geometric properties of circles, alternate segment theorem, midpoint theorem
  19. See my dedicated G3 A Maths tuition page for the full programme

These are the full topic lists for G3 Mathematics and G3 Additional Mathematics.

Frequently Asked Questions (FAQ) - Secondary Maths Tuition

When are the small group classes held & duration of each class?

For G3 Mathematics and G3 Additional Mathematics, these are the timeslots for small group classes:

Mon-Fri: 3:00 pm or 5:00 pm.

Sat: 9:30 am, 11:30 am, 2:00 pm.

Sun: 9:30 am, 11:30 am, 2:00 pm.

The duration of each class is 2 hours.

What is the class size for small group tuition?

I maintain a class size of 3 to 4 students.

A small class lets me see how each student lays out their working and catch the habits that quietly cost marks before they settle in.

Schools reach topics in different orders, so keeping the group small means I can carry a student who is a little ahead or behind without anyone being left out.

It also keeps the room comfortable enough that students will own up to what they have not understood, which is half the work at this stage.

Do you offer trial lessons?

Yes, we offer trial lessons for new students.

Please WhatsApp us or Contact us to arrange for a trial lesson.

How much are the fees for small group classes?

Small-group lessons for G3 Mathematics and G3 Additional Mathematics: $840 for 8 lessons (billed in advance). For regular students, the fees for the next lesson cycle are due on the 6th lesson of the current lesson cycle (of 8 classes).

Where can I find your payment, refund, holiday, and cancellation policies?

These policies are the same at every secondary and JC level and are listed in full in the FAQ on our homepage, covering payment methods (PayNow / bank transfer), the refund policy for new students, public holidays and school vacation periods, and class cancellations and make-ups.

Is the syllabus aligned with MOE requirements?

Yes, what I teach is fully aligned with the latest Ministry of Education (MOE) syllabus for both G3 Mathematics and G3 Additional Mathematics. I constantly monitor syllabus changes and keep myself updated with the types of questions set in the national exams as well as in papers set by individual schools, including IP schools. I am also fully prepared for the 2027 move to the Singapore-Cambridge SEC, a change of name and framework, not of content.

What materials do students receive?

Summary notes of each topic, topical worksheets, mock quizzes, and full length practice papers, all pitched at the exam standard for G3 Mathematics and G3 Additional Mathematics.

Do you provide exam preparation?

Yes, I provide June holiday intensive revision bootcamps, mock tests and timed quizzes, and intensive revision before major exams. These allow students to build foundations, improve accuracy, and increase their exam confidence.

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