A Maths Revision Notes

Provided formula sheet

1. Quadratic functions

2. Equation and inequalities

• Solve quadratic inequality (Subscription required)

• Discriminant, b² - 4ac (Subscription required)

• Intersection(s) between line & curve (Subscription required)

3. Surds (Subscription required)

4. Polynomials and partial fractions

• Polynomials & cubic equation (Subscription required)

• Partial fractions (Subscription required)

5. Binomial theorem

• Expansion (Subscription required)

• General term (Subscription required)

6. Exponential functions & logarithms

• Exponential functions (Subscription required)

• Logarithms (Subscription required)

Geometry section

1. Coordinate geometry

• Formulas & techniques

• Geometry problems

2. Circles

• Equation of circles (Subscription required)

• Circle properties (Subscription required)

3. Linear law (Subscription required)

4. Plane geometry (Subscription required)

Trigonometry section

1. Graphs

• Sine graph

• Cosine graph

• Tangent graph

2. Common questions

• Find trigonometric ratio without use of calculator (Subscription required)

• Solve trigonometric equation (Subscription required)

• Real-life problem (Subscription required)

• Geometry problem (Subscription required)

3. Usage of formulas

• Summary of all formulas & identities (Subscription required)

• Identities (Subscription required)

• Addition formulas (Subscription required)

• Double angle formula (Subscription required)

• R-formulas (Subscription required)

• Principal values (Subscription required)

Differentiation and Integration

1. Techniques

• Differentiation techniques

• Integration techniques

• Integration as reverse of differentiation (Subscription required)

2. Applications

• Gradient of curve (Subscription required)

• Tangent to the curve, normal to the curve (Subscription required)

• Increasing function, decreasing function (Subscription required)

• Stationary point and it’s nature (Subscription required)

• Maxima and minima (Subscription required)

• Rate of change (Subscription required)

• Area under curve (Subscription required)

• Kinematics (Subscription required)