What topics are covered in these Additional Math study guides?

Our A Math study guides cover all O Level syllabus topics including Binomial Theorem, Indices, Surds, Logarithms, Differentiation, Integration, and Trigonometry. Each guide includes detailed explanations, worked examples, and practice questions with step-by-step solutions.

Are these study guides suitable for Sec 3 and Sec 4 students?

Yes, these study guides are designed for both Secondary 3 and Secondary 4 students taking Additional Mathematics. The materials are aligned with the Singapore O Level syllabus and cover topics progressively from basic to advanced levels.

Can I download the worksheets for free?

Yes, all Additional Math worksheets are available for free download. Each study guide includes comprehensive notes and practice questions that you can download and use for your revision.

Do the study guides include video solutions?

Many of our study guides include links to video solutions where our experienced tutors walk through problems step-by-step. This helps students understand difficult concepts and problem-solving techniques.

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Free O Level Additional Math Study Guides

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The best free additional math resources

Comprehensive study guides created by experienced educators. Everything you need to master O Level Additional Mathematics.

Comprehensive A Math Coverage

Study guides covering all O Level Additional Math topics aligned with Singapore syllabus (4047)

Step-by-Step Video Solutions

HD video walkthroughs by experienced tutors showing detailed problem-solving techniques

Free Downloadable Worksheets

Print-ready worksheets with practice questions and complete worked solutions for every topic

O Level Additional Mathematics Study Guides

Master O Level Additional Math with our comprehensive study guides. Packed with concise bite-sized concepts and extensive practice questions aligned with the Singapore O Level syllabus (4047).

Sec/IP LevelAdditional Mathematics

Binomial Theorem

The binomial theorem gives us a formula for expanding the product of two binomials. The formula allows us to expand any binomial raised to a power, which is very useful in algebra and calculus.

Topics Covered:

Pascal's Triangle
Binomial Coefficients
Binomial Expansion
Applications of Binomial Theorem

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Sec/IP LevelAdditional Mathematics

Indices

Indices are often used to show the power of a number in mathematical expressions. It is a number multiplied by itself some number of times.

Topics Covered:

Laws of Indices
Negative Indices
Fractional Indices
Zero Index

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Sec/IP LevelAdditional Mathematics

Surds

Surds are irrational numbers that cannot be expressed as a finite series of numbers or fractions. They are the square roots of numbers that are not perfect squares.

Topics Covered:

Simplifying Surds
Operations with Surds
Rationalizing Denominators
Solving Equations with Surds

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Sec/IP LevelAdditional Mathematics

Logarithms

The logarithm of a number is the exponent by which another fixed value, the base, has to be raised to yield a given number. It is also the inverse of the exponential function.

Topics Covered:

Laws of Logarithms
Change of Base
Logarithmic Equations
Applications of Logarithms

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Sec/IP LevelAdditional Mathematics

Techniques and Applications of Differentiation

One of the most important ideas in calculus, and one of its most difficult to grasp, is differentiation. Differentiation is a key concept used to determine instantaneous rates of change.

Topics Covered:

Product Rule
Quotient Rule
Chain Rule
Implicit Differentiation

+ 2 more topics

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Sec/IP LevelAdditional Mathematics

Techniques of Integration

Integration is a useful method of solving problems by using limits and infinite series. It is the reverse of differentiation. It can also be used to calculate areas of complicated shapes.

Topics Covered:

Integration by Substitution
Integration by Parts
Partial Fractions
Trigonometric Integration

+ 1 more topics

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Sec/IP LevelAdditional Mathematics

Applications of Integration

The definite integral is a concept that can be used to represent the area under a curve, which we could use in a lot of calculations. It is often written as an integral sign with limits above and below it.

Topics Covered:

Area under a Curve
Area between Curves
Volume of Revolution
Definite Integrals

+ 1 more topics

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Sec/IP LevelAdditional Mathematics

Trigonometric Functions

Trigonometric functions are real functions that relate an angle of a right-angled triangle to the ratios of two side lengths. The most familiar trigonometric functions are the sine, cosine, and tangent.

Topics Covered:

Trigonometric Identities
Compound Angle Formulas
Double Angle Formulas
R-Formula

+ 1 more topics

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Sec/IP LevelAdditional Mathematics

Sketching of Trigonometric Curves

Trigonometric graphs are the visual representation of the functions that can be used to solve mathematical problems involving triangles. They can be used to find the amplitude, period, frequency and phase shift of a function.

Topics Covered:

Basic Trigonometric Graphs
Amplitude and Period
Phase Shift
Vertical Translation

+ 1 more topics

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Ace Your O Level Additional Math with Expert Guidance

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What Our A Math Students Say

Success stories from O Level students who achieved distinction with our study guides and tuition

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"The A Math study guides helped me improve from a C to an A1! The step-by-step solutions and video explanations made complex calculus topics so much easier to understand."

Sarah Tan

Raffles Girls' School

"I struggled with Additional Math trigonometry until I found these study guides. The clear explanations and practice questions helped me score A1 in my O Levels!"

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Cedar Girls' Secondary School

"The free worksheets are amazing! I used them throughout Sec 3 and 4 for consistent practice. Definitely helped me build strong foundations in A Math."

Emily Ng

Anglo-Chinese School (Independent)

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