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O Level (G3) & N(A) (G2) A Maths Revision Notes

Provided formula sheet

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

  • Double angle formula

  • R-formulas

  • Principal values

Differentiation and Integration

1. Techniques

  • Differentiation techniques

  • Integration techniques

  • Integration as reverse of differentiation

2. Applications

  • Gradient 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)



 

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