EMaths For GCE O Level (SG)
This course covers the entire EMaths syllabus from Sec1 to Sec4, clearly organised into S1, S2, S3, and S4 to reflect the four years of study. For students who need to strengthen their fundamentals — such as basic algebra, introduction to Coordinate Geometry, or the Pythagoras’ Theorem, they are encouraged to begin with the EMaths – Foundation Course before progressing to this full syllabus.
Students struggling with Maths are encouraged to first complete the EMaths Foundation Course to strengthen their basic skills. This will provide valuable insights that make learning this full course much easier and more effective.
New maths lessons are added weekly, though they may be released in any order and not necessarily follow the chapter sequence listed below.
Course Content
01
Master two strategies for decomposing any composite number into its prime factors and acquire proficiency in two methods to find the HCF & LCM of a group of composite numbers.
02
Gain an understanding of the real number system’s structure and learn how to solve the common tested temperature-height exam question easily.
03
Learn how to perform factorisation by Common Factors & Grouping through a systematic approach, minimizing errors in the process.
04
Master a clear three-step method for simplifying fractional algebraic expressions by cancellation, building strong foundation for S2 Algebra.
05
Master the common denominator method to combine multiple fractional algebraic expressions into a single fraction, laying a strong foundation for advanced S2 concepts.
06
Master the Balancing Equation Technique to solve linear equations with one unknown accurately, significantly reducing careless mistakes.
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07
S1 - Polygons
Learn to apply interior and exterior angle formulas for both regular and irregular polygons confidently.
08
S1 - Solving (Single) Inequalities Equation
Learn to solve single-variable inequalities and accurately graph their solutions on a number line.
09
S1 - Percentage
Master the fundamentals of percentages and tackle exam questions on percentage change, original prices, gains and losses, and remainders.
10
S1 - Ratio, Rate & Speed
This chapter reviews the key concepts of ratio, rate, and speed learned in primary school.
11
S1 - Number Sequences (Patterns)
Use linear, quadratic, and cubic differences to find the general term of number sequences and determine the nth term without guessing.
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12
S2 - Scales & Maps
Learn to interpret map scales, convert between map and area scales, and calculate both map and actual distances or areas accurately.
13
S2 - Direct & Inverse Proportion
Learn the concepts of direct and inverse proportion and master a systematic approach to solving both basic and advanced proportion problems.
14
S2 - Algebra: Factorisation By Identities & Cross Method
Extend S1 factorisation skills by mastering perfect square and difference of squares identities and factorising quadratics using the cross-method
15
S2 - Algebra: Advanced Cancellation
This advanced cancellation course builds on S1 content & incorporates advanced questions using factorisation concepts from S2.
16
S2 - Algebra: Advanced Fractional Algebra
This advanced fractional algebra course builds on S1 content and tackles complex questions applying factorisation principles from S2.
17
S2 - Algebra: Solving Non-Linear Equation
This advanced course builds on S1 Solving Linear Equations and teaches solving non-linear equations using S2 factorisation principles.
18
S2 - Algebra: Make Subject Of (Formula)
Learn a streamlined 5-step method for formula rearrangement, providing clarity, simplicity, and a success rate of up to 99%.
19
S2 - Solving Simultaneous Equations
Learn to solve simultaneous equations with two unknowns using the elimination and substitution method.
20
S2 - Mensuration of Cone, Sphere & Pyramid
Learn the formulas for the volume and surface area of cones, spheres, and pyramids, and apply them to solve challenging problems.
21
S2 - Mean, Median & Mode
Master how to calculate mean, median, and mode for discrete and continuous datasets to effectively summarize, interpret, and compare data.
22
S2 - Probability Of Single Event
This introductory course teaches the basics of probability for single events, laying foundation for finding probability of multiple events in S4.
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23
S3 - Law Of Indices
This video logically organizes the Laws of Indices, helping students easily identify and apply the correct rule in any scenario.
24
S3 - Standard Form
Learn to express very large or small numbers in standard form and manipulate multiple expressions without a calculator.
25
S3 - Graph Sketching Of Quadratic Function
Master sketching quadratic graphs using Cross Factorisation and Completing the Square methods.
26
S3 - Graph Sketching Of Exponential, Reciprocal & Cubic Function
Master sketching exponential, reciprocal, and cubic graphs by focusing on 3 key fundamental graph instead of memorizing dozens of graph.
27
S3 - Solving (Dual) Inequalities Equation
Learn to solve dual inequalities, building on the foundational skills from the Solving (Single) Inequality Equation.
28
S3 - Quadratic Formula & Graph
Learn to solve quadratic equations using the Complete The Square method and the Quadratic Formula.
29
S3 - Coordinate Geometry
Building on S1 Coordinate Geometry, this chapter teaches advanced concepts like distance between points and straight line equations.
30
S3 - Congruency & Similarity Of Triangle & Similar Solids
This chapter builds on the Maths Foundation Course, teaching proofs of congruency and similarity, and the concept of similar solids.
31
S3 - Trigo: Trigo Ratio
Learn to construct Sine, Cosine, and Tangent ratios using the opposite, adjacent, and hypotenuse sides of right-angled triangles.
32
S3 - Trigo: Angle Of Elevation & Depression
Learn to solve angle of elevation and depression problems using trigonometry for real-world applications.
33
S3 - Trigo: Area Of Triangle
Explore an alternative trigonometry formula to calculate the area of any triangle using the appropriate values for flexibility and ease.
34
S3 - Trigo: Obtuse Angle Formula
Master the trigonometry formula for obtuse angles, enabling you to solve triangles and calculate unknown sides or angles accurately.
35
S3 - Trigo: Sine & Cosine Rule
Learn to apply the Sine and Cosine Rules to solve for unknown sides and angles in any triangle, including real-world problems.
36
S3 - Trigo: Bearings
Learn to determine bearings using trigonometry to accurately solve directional and navigation problems.
37
S3 - Trigo: Shortest Distance With Angle Of Elevation & Depression
Learn to calculate the shortest distance from a point to a line and apply it to determine the largest angle of elevation or depression.
38
S3 - Circle In Degree & Radian
Learn to measure angles in both degrees and radians, a crucial skill for trigonometry and circle-related problems.
39
S3 - Properties Of Circle
Explore circle angle properties and learn to recognize patterns for effective application in problem-solving.
40
S3 - Simple & Compound Interest
Learn the key formulas for calculating simple interest and compound interest, including yearly, quarterly, and monthly compounding periods.
41
S3 - Hired Purchase
Learn to calculate key components of Hire Purchase agreements, a method for acquiring high-value items through instalment payments.
42
S3 - Exchange Rate
Learn currency exchange concepts, including converting between currencies and calculating rates using both buy and sell prices.
43
S3 - Income Tax
Learn to calculate income tax by assessing income, applying deductibles and determining tax owed using applicable rates.
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44
S4 - Set Language & Venn Diagram
Learn the concepts of Set Language and Venn Diagrams to express and visualize relationships between sets effectively.
45
S4 - Probability Of Dual Events
Build on the Single Event Probability course to calculate dual-event probabilities and apply tree diagrams effectively.
46
S4 - Mean & Standard Deviation
Learn to calculate and interpret mean and standard deviation for discrete and grouped data, and compare datasets effectively.
47
S4 - Quartiles & Percentiles
Learn key data distribution measures and how to interpret datasets using cumulative frequency and box-and-whisker plots.
48
S4 - Distance-Speed-Acceleration Time Graph
Understand how Distance-Speed-Acceleration-Time graphs show changing distance, speed, and acceleration over time.
49
S4 - Matrices
Introduction to matrices and key operations—addition, subtraction, and multiplication—with real-world applications.
50
S4 - Vectors
Introduce to vectors, covering their representation, magnitude, addition & subtraction, with applications in physics, & engineering.