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Unlock the Math-gic: Your Secondary 3 A Math Tuition Online Course for O-Level and IP Quests

Feeling the pull of Sec 3 A Math challenges like logarithms, polynomials, or trigonometric functions? We’ve seen young wizards face those same bumps—our standalone online math tuition course gently turns them into steady steps forward, with self-paced learning crafted just for Singapore students like you.

Guided by Principal Math Tutor Mr. Justin Tan—with over 13 years sharing heartfelt journeys and a double major in Math and Economics from NUS (Distinction)—this MOE-aligned secondary 3 a math tuition sparks proprietary video lessons that make tough ideas feel simple and warm. Draw from real-life examples and easy steps to light those “aha” moments, one patient try at a time. No hurry from quick classes; hold your wand and revisit anytime with unlimited 24/7 access on any device.

Key Sparks to Light Your Tuition Journey:
– Full Coverage: Dive into 11 key topics, from Simultaneous Linear and Non-Linear Equations to Trigonometric Functions, building a strong base for what’s next.
– Special Videos: Made with our unique teaching tricks to make math click and feel like magic—rewind, replay, and master at your own pace.
– Practice Tools: Fun quizzes, worksheets with clear answers, and progress checks to strengthen weak spots and cheer your growth.
– Always Fresh: We update content often to keep it spot-on, with new AI sparks (in early testing) coming soon for even better personal fits.
– Flexible for Everyone: Perfect as standalone online math tuition or a free extra for our in-person wizards—learn anywhere, anytime.

Ready to begin your math quest and shine in O-Level or IP paths? Jump in today and let the wins unfold!

Course Description

In this Secondary 3 Additional Mathematics course (O Level/Integrated Programme), you will be learning

  1. Simultaneous Linear and Non-Linear Equations
  2.  Quadratic Equations and Inequalities
  3.  Surds and Indices
  4.  Logarithmic and Exponential Functions
  5.  Polynomials
  6.  Partial Fractions
  7.  Binomial Theorem
  8.  Coordinate Geometry
  9.  Linear Law
  10.  Circles
  11.  Trigonometric Functions

Course Content

2) Quadratic Equations and Inequalities 33 Topics | 1 Quiz
Lesson Content
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Understanding coefficients in Quadratic Equations
Refresher on Basic Inequalities
Solving Quadratic Inequalities and representing the solution on the number line – Portion of the curve below the x-axis
Solving Quadratic Inequalities and representing the solution on the number line – Portion of the curve above the x-axis
Practice Question 1 – Solving Quadratic Inequalities and representing the solution on the number line
Practice Question 2 – Solving Quadratic Inequalities and representing the solution on the number line
How are the roots of the quadratic equation related to the sign of the discriminant
Summary – How are the roots of the quadratic equation related to the sign of the discriminant
How are the roots of the quadratic equation related to its discriminant when the discriminant is greater than 0
How are the roots of the quadratic equation related to its discriminant when the discriminant is equal to 0
How are the roots of the quadratic equation related to its discriminant when the discriminant is less than 0
Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
Practice Question 3a – Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
Practice Question 3b – Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
Practice Question 4a – Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
Practice Question 4b – Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
Practice Question 5a – Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
Practice Question 5b – Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
Practice Question 6a – Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
Practice Question 6b – Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
Conditions for quadratic expression to be always positive when a>0
Practice Question 7a – Conditions for quadratic expression to be always positive when a>0
Conditions for quadratic expression to be always negative when a<0
Practice Question 7b – Conditions for quadratic expression to be always negative when a<0
Conditions for quadratic expression to be always positive when a>0 (or always negative when a<0) - Thinking Questions
Completing The Square
Practice Question 8a – Completing The Square, a>0
Practice Question 8b – Completing The Square, a>0
Practice Question 8c – Completing The Square, a<0
Practice Question 8d – Completing The Square, a<0
3) Surds and Indices 30 Topics | 1 Quiz
Lesson Content
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What are Surds
What are Surds – Rules of Surds
Practice Question 1a – Simplifying of Surds
Practice Question 1b – Simplifying of Surds
Practice Question 1c – Simplifying of Surds
Practice Question 1d – Simplifying of Surds
Practice Question 1e – Simplifying of Surds
Practice Question 1f – Simplifying of Surds
Practice Question 2a – Simplifying of Surds (Addition and Subtraction of Surds)
Practice Question 2b – Simplifying of Surds (Addition and Subtraction of Surds)
Practice Question 3a – Simplifying of Surds (Multiplication of Surds)
Practice Question 3b – Simplifying of Surds (Multiplication of Surds)
Conjugate Surd
Rationalizing the Denominator and Division of Surds
Practice Question 4a – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4b – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4c – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4d – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4e – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4f – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 5a – Division of Surds and Rationalizing the Denominator (Questions involving Area)
Solving Equations involving Surds
Practice Question 6a – Solving Equations Involving Surds
Practice Question 6b – Solving Equations Involving Surds
Practice Question 6c – Solving Equations Involving Surds
Practice Question 6d – Solving Equations Involving Surds
Equality of Surds
Practice Question 7a – Solving for unknowns using Equality of Surds
Practice Question 7b – Solving for unknowns using Equality of Surds
Laws of Indices
4) Logarithmic and Exponential Functions 44 Topics | 1 Quiz
Lesson Content
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What is a Function (Recap)
Euler’s Number, e
Exponential Function
Graph of Exponential Function
Graph of Natural Exponential Function
Logarithmic Function
Graph of Logarithmic Function
Graph of Natural Logarithmic Function
Logarithms
Common Logarithms
Natural Logarithms
Practice Question 1a – Converting to Logarithmic Form and Index Form
Practice Question 1b – Converting to Logarithmic Form and Index Form
Practice Question 1c – Converting to Logarithmic Form and Index Form
Practice Question 1d – Converting to Logarithmic Form and Index Form
Practice Question 2a – Solving Logarithmic Equations
Practice Question 2b – Solving Logarithmic Equations
Practice Question 3 – Evaluating Logarithmic Expressions
Laws of Logarithms (Power Law)
Practice Question 4a – Using Power Law
Practice Question 4b – Using Power Law
Laws of Logarithms (Product Law)
Practice Question 5a – Using Product Law
Practice Question 5b – Using Product Law
Laws of Logarithms (Quotient Law)
Practice Question 6a – Using Quotient Law
Practice Question 6b – Using Quotient Law
Laws of Logarithms (Change-of-Base Law)
Practice Question 7a – Using Change-of-Base Law
Practice Question 7b – Using Change-of-Base Law
Logarithmic Equations
Practice Question 8 – Solving Logarithmic Equations
Practice Question 9 – Solving Logarithmic Equations using Substitution
Exponential Equations
Solving Exponential Equations by taking logarithms on both sides
Solving Exponential Equations by taking common logarithms on both sides (Using lg)
Solving Exponential Equations by taking natural logarithms on both sides (Using ln)
Solving Exponential Equations by taking natural logarithms on both sides (Using ln)
Practice Question 10a – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10b – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10c – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10d – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10e – Solving Exponential Equations without taking logarithms on both sides
Practice Question 11 – Application of Exponential and Logarithmic Functions
10) Circles 3 Topics | 1 Quiz
11) Trigonometric Functions 28 Topics | 1 Quiz
Lesson Content
0% Complete 0/28 Steps
Trigonometric Ratios of Acute Angles and Special Angles 𝜃
Trigonometric Ratios of Complementary Angles
General Angles 𝜃 and Basic Angle 𝛼
Practice Question 1a – General Angles 𝜃 and Basic Angle 𝛼
Practice Question 1b – General Angles 𝜃 and Basic Angle 𝛼
Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2a – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2b – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2c – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2d – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2e – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2f – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Basic Trigonometric Equations
Practice Question 3a – Basic Trigonometric Equations
Practice Question 3b – Basic Trigonometric Equations
Graphs of the Sine Function – Properties
Graphs of the Sine Function, a>0
Graphs of the Sine Function, a<0
Practice Question 4a – Graphs of the Sine Function
Practice Question 4b – Graphs of the Sine Function
Graphs of the Cosine Function – Properties
Graphs of the Cosine Function, a>0
Graphs of the Cosine Function, a<0
Practice Question 5a – Graphs of the Cosine Function
Practice Question 5b – Graphs of the Cosine Function
Graphs of the Tangent Function – Properties
Graphs of the Tangent Function, a>0
Graphs of the Tangent Function, a<0

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