fbpx


   Chapter 1: Real Numbers

1.1 

What is a Rational Number?

1.2 

Surds are Irrational Numbers

1.3 

Advanced Laws of Indices

1.4 

Multiplication of Surds

1.5 

Division of Surds

1.6 

Simplifying Surds

1.7 

Adding and Subtracting Surds

1.8 

Brackets with Surds

1.9 

Rationalising the Denominator

1.10

Surd Problems

1.11

Laws of Logarithms

1.12

Real Numbers Test

2.1 

Factorising Harder Trinomials

2.2 

The Cross Sword Method of Factorising

2.3 

Advanced Completing the Square

2.4 

Division for Polynomials

2.5 

Zeros, Roots and x-intercepts

2.6 

Remainder and Factor Theorems

2.7 

Expansion and Factorisation Test

3.1 

The Parabola

3.2 

Graphing Factored Quadratic Functions

3.3 

The Hyperbola

3.4 

The Cubic Curve

3.5 

Graphing Factored Polynomial Functions

3.6 

Circle at Origin

3.7 

Graphing Exponential Functions

3.8 

Curve Sketching: Translation and Dilation

3.9 

Curves Test

3.10

Expansion, Factorisation, Graphs Revision



   Chapter 2: Expansion and Factorisation

1.1 

What is a Rational Number?

1.2 

Surds are Irrational Numbers

1.3 

Advanced Laws of Indices

1.4 

Multiplication of Surds

1.5 

Division of Surds

1.6 

Simplifying Surds

1.7 

Adding and Subtracting Surds

1.8 

Brackets with Surds

1.9 

Rationalising the Denominator

1.10

Surd Problems

1.11

Laws of Logarithms

1.12

Real Numbers Test

2.1 

Factorising Harder Trinomials

2.2 

The Cross Sword Method of Factorising

2.3 

Advanced Completing the Square

2.4 

Division for Polynomials

2.5 

Zeros, Roots and x-intercepts

2.6 

Remainder and Factor Theorems

2.7 

Expansion and Factorisation Test

3.1 

The Parabola

3.2 

Graphing Factored Quadratic Functions

3.3 

The Hyperbola

3.4 

The Cubic Curve

3.5 

Graphing Factored Polynomial Functions

3.6 

Circle at Origin

3.7 

Graphing Exponential Functions

3.8 

Curve Sketching: Translation and Dilation

3.9 

Curves Test

3.10

Expansion, Factorisation, Graphs Revision



   Chapter 3: Curves

1.1 

What is a Rational Number?

1.2 

Surds are Irrational Numbers

1.3 

Advanced Laws of Indices

1.4 

Multiplication of Surds

1.5 

Division of Surds

1.6 

Simplifying Surds

1.7 

Adding and Subtracting Surds

1.8 

Brackets with Surds

1.9 

Rationalising the Denominator

1.10

Surd Problems

1.11

Laws of Logarithms

1.12

Real Numbers Test

2.1 

Factorising Harder Trinomials

2.2 

The Cross Sword Method of Factorising

2.3 

Advanced Completing the Square

2.4 

Division for Polynomials

2.5 

Zeros, Roots and x-intercepts

2.6 

Remainder and Factor Theorems

2.7 

Expansion and Factorisation Test

3.1 

The Parabola

3.2 

Graphing Factored Quadratic Functions

3.3 

The Hyperbola

3.4 

The Cubic Curve

3.5 

Graphing Factored Polynomial Functions

3.6 

Circle at Origin

3.7 

Graphing Exponential Functions

3.8 

Curve Sketching: Translation and Dilation

3.9 

Curves Test

3.10

Expansion, Factorisation, Graphs Revision



   Chapter 1: Area and Volume

1.1 

Surface Area of a Cone

1.2 

Surface Area of a Sphere

1.3 

Surface Areas of Composite Figures

1.4 

Volume of Pyramid, Cone and Sphere

1.5 

Further Questions on Area and Volume

1.6 

Area and Volume Test

2.1 

Parts of a Circle

2.2 

Angle in a Semicircle

2.3 

Angles at the Centre of a Circle

2.4 

Angles in the Same Segment

2.5 

Cyclic Quadrilaterals

2.6 

Tangent to a Circle

2.7 

Equal Tangents

2.8 

Chord Properties

2.9 

Further Questions on Circle Geometry

2.10

Circle Geometry Test

2.11

Area, Volume, Circle Geometry Revision

3.1 

Sine Rule

3.2 

Cosine Rule

3.3 

Ambiguous Case of the Sine Rule

3.4 

Further Questions on Sine and Cosine Rules

3.5 

Area of a Triangle Using Trigonometry

3.6 

Calculator: Angles Larger Than 90

3.7 

Trigonometry Test 1

3.8 

Rotation Angles and Reference Angles

3.9 

The CAST Rule

3.10

Application of the CAST Rule

3.11

Trigonometry with the Unit Circle

3.12

Radians and Degrees

3.13

Sine and Cosine Curves 1

3.14

Sine and Cosine Curves 2

3.15

Trigonometry Test 2

3.16

Trigonometry Revision



   Chapter 2: Circle Geometry

1.1 

Surface Area of a Cone

1.2 

Surface Area of a Sphere

1.3 

Surface Areas of Composite Figures

1.4 

Volume of Pyramid, Cone and Sphere

1.5 

Further Questions on Area and Volume

1.6 

Area and Volume Test

2.1 

Parts of a Circle

2.2 

Angle in a Semicircle

2.3 

Angles at the Centre of a Circle

2.4 

Angles in the Same Segment

2.5 

Cyclic Quadrilaterals

2.6 

Tangent to a Circle

2.7 

Equal Tangents

2.8 

Chord Properties

2.9 

Further Questions on Circle Geometry

2.10

Circle Geometry Test

2.11

Area, Volume, Circle Geometry Revision

3.1 

Sine Rule

3.2 

Cosine Rule

3.3 

Ambiguous Case of the Sine Rule

3.4 

Further Questions on Sine and Cosine Rules

3.5 

Area of a Triangle Using Trigonometry

3.6 

Calculator: Angles Larger Than 90

3.7 

Trigonometry Test 1

3.8 

Rotation Angles and Reference Angles

3.9 

The CAST Rule

3.10

Application of the CAST Rule

3.11

Trigonometry with the Unit Circle

3.12

Radians and Degrees

3.13

Sine and Cosine Curves 1

3.14

Sine and Cosine Curves 2

3.15

Trigonometry Test 2

3.16

Trigonometry Revision



   Chapter 3: Trigonometry

1.1 

Surface Area of a Cone

1.2 

Surface Area of a Sphere

1.3 

Surface Areas of Composite Figures

1.4 

Volume of Pyramid, Cone and Sphere

1.5 

Further Questions on Area and Volume

1.6 

Area and Volume Test

2.1 

Parts of a Circle

2.2 

Angle in a Semicircle

2.3 

Angles at the Centre of a Circle

2.4 

Angles in the Same Segment

2.5 

Cyclic Quadrilaterals

2.6 

Tangent to a Circle

2.7 

Equal Tangents

2.8 

Chord Properties

2.9 

Further Questions on Circle Geometry

2.10

Circle Geometry Test

2.11

Area, Volume, Circle Geometry Revision

3.1 

Sine Rule

3.2 

Cosine Rule

3.3 

Ambiguous Case of the Sine Rule

3.4 

Further Questions on Sine and Cosine Rules

3.5 

Area of a Triangle Using Trigonometry

3.6 

Calculator: Angles Larger Than 90

3.7 

Trigonometry Test 1

3.8 

Rotation Angles and Reference Angles

3.9 

The CAST Rule

3.10

Application of the CAST Rule

3.11

Trigonometry with the Unit Circle

3.12

Radians and Degrees

3.13

Sine and Cosine Curves 1

3.14

Sine and Cosine Curves 2

3.15

Trigonometry Test 2

3.16

Trigonometry Revision



   Chapter 1: Statistics

1.1 

Mean Deviation

1.2 

Standard Deviation

1.3 

Using the Standard Deviation

1.4 

Line of Best Fit on Scatter Plots

1.5 

Statistics Test