O Level & N(A) A Maths Revision Notes, Practice Questions and Past Year Trends

Note: O Level = G3, N(A) = G2

Additional materials:

• Provided formula sheet

• A Maths formulas and identities reference — quick reference for all formulas you'll need

Algebra section

1. Quadratic functions

• Revision notes & Questions

2. Equation and inequalities

• Solve quadratic inequality

• Discriminant, b² - 4ac

• Intersection(s) between line & curve

3. Surds

• Revision notes & questions

4. Polynomials and partial fractions

• Polynomials & cubic equation

• Partial fractions

5. Binomial theorem (G3 only)

• Expansion

• General term

6. Exponential functions & logarithms (G3 only)

• Exponential functions

• Logarithms

Geometry section

1. Coordinate geometry

• Formulas & techniques

• Geometry problems involving coordinate geometry

2. Circles

• Equation of circles

• Circle properties

3. Linear law (G3 only)

• Revision notes & questions

4. Plane geometry (G3 only)

• Revision notes & questions

Trigonometry section

1. Graphs

• Sine graph

• Cosine graph

• Tangent graph

2. Common questions

• Find trigonometric ratio without use of calculator

• Solve trigonometric equation

• Real-life problem

• Geometry problem

3. Usage of formulas

• Summary of all formulas & identities

• Identities

• Addition formulas sin (A ± B), cos (A ± B), tan (A ± B)

• Double angle formula sin 2A, cos 2A, tan 2A

• R-formulas

• Principal values

Differentiation and Integration

1. Techniques

• Differentiation techniques

• Integration techniques

• Integration as reverse of differentiation

2. Applications

• Gradient of curve and forming the equation of curve

• Tangent to the curve, normal to the curve

• Increasing function, decreasing function

• Stationary point and it’s nature

• Maxima and minima

• Rate of change

• Area under curve

• Kinematics (G3 only)