Grade 10 Core Maths

Algebra - Products 11 Topics

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1.1 Algebra - Products

1.2 Product of a binomial with a binomial - Explanation

1.3 Product of a binomial with a binomial - Example 1

1.4 Product of a binomial with a binomial (with fractions) - Example 2

1.5 Squaring binomials - Explanation

1.6 Squaring binomials - Example 1

1.7 Squaring binomials - Example 2

1.8 Products resulting in a difference of two squares - Explanation

1.9 Products of binomials - mixed examples

1.10 Product of a trinomial and a binomial - Explanation

1.11 Products resulting in the sum or difference of two cubes - Explanation

Algebra - Factorisation 12 Topics

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2.1 Factorising - Introduction

2.2 Factorising by Highest Common Factor - Examples

2.3 Factorising by Highest Common Factor (with brackets) - Examples

2.4 Factorising by difference of two squares - Examples

2.5 Factorising by difference of two squares (with brackets) - Examples

2.6 Factorising by sum or difference of two cubes - Explanation

2.7 Factorising trinomials - Explanation

2.8 Factorising trinomials - Example 1

2.9 Factorising trinomials - Example 2

2.10 Factorising by grouping - Explanation

2.11 Mixed Factorising - Example 1

2.12 Mixed Factorising - Example 2

Algebraic Fractions 8 Topics

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3.1 Simplifying algebraic fractions - Introduction

3.2 Multiplying algebraic fractions - Explanation

3.3 Multiplying algebraic fractions - Examples

3.4 Dividing Algebraic fractions - Explanation

3.5 Dividing Algebraic fractions - Examples

3.6 Addition and subtraction of algebraic fractions - Explanation

3.7 Addition and subtraction of algebraic fractions - Example 1

3.8 Algebraic Fractions - Mixed operations

Exponents 13 Topics

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4.1 The laws of exponents - Law 1 & 2

4.2 The laws of exponents - Law 3 & 4

4.3 The laws of exponents - Law 5 & 6

4.4 Applying the laws of exponents - Mixed Example 1

4.5 Applying the laws of exponents - Mixed Example 2

4.6 Applying the laws of exponents - Mixed Example 3 (more complex)

4.7 Applying the laws of exponents - Mixed Examples 4 (more complex)

4.8 Simplifying exponential expressions using factorising - Explanation

4.9 Simplifying exponential expressions using factorising - Example 1

4.10 Simplifying exponential expressions using factorising - Example 2

4.11 Exponential Equations - Explanation

4.12 Exponential Equations - Example 1

4.13 Exponents - Some challenges

Number Patterns and Sequences 4 Topics

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5.1 Patterns with a linear general term - Explanation

5.2 Linear number patterns - Example 1

5.4 Linear number patterns - Example 3

5.5 Linear number patterns - Example 4

Equations and Inequalities 24 Topics

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6.1 Linear Equations - Example 1

6.2 Linear Equations with fractions - Explanation

6.3 Linear Equations with Fractions - Example 1

6.4 Linear Equations with Fractions - Example 2

6.5 Linear Equations with more than one term in the denominator - Explanation

6.6 Linear Equations with more than one term in the denominator - Example 1

6.7 Literal Equations (changing the subject of the formula) - Explanation

6.8 Literal Equations (changing the subject of the formula) - Example 1

6.9 Literal Equations (changing the subject of the formula) - Example 2

6.10 Quadratic Equations - Introduction

6.11 Quadratic Equations - Example 1

6.12 Simultaneous Linear Equations - Elimination Method Explanation

6.13 Simultaneous Linear Equations - Elimination Method Example 1

6.14 Simultaneous Equations - Substitution Method Explanation

6.15 Simultaneous Equations - Substitution Method Example 1

6.16 Word Problems with Linear Equations - Example 1

6.17) Word Problems with Linear Equations - Example 2

6.18 Word Problems with Linear Equations - Example 3

6.19 Word Problems with Linear Equations - Example 4

6.20 Word Problems with Linear Equations - Example 5

6.21 Word Problems with Linear Equations - Example 6

6.22 Linear Inequalities - Explanation

6.23 Linear Inequalities - Example 1

6.24 Linear Inequalities - Example 2

Trigonometry 38 Topics

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7.1 Definition of Trigonometric Ratios - Explanation

7.2 Definition of Trigonometric Ratios - Example 1

7.3 Calculations in Trigonometry - Finding the ratio given the angle Explanation

7.4 Calculations in Trigonometry - Finding the ratio given the angle Example 1

7.5 Calculations in Trigonometry - Finding the angle given the ratio Explanation

7.6 Calculations in Trigonometry - Finding the angle given the ratio Example 1

7.7 Reciprocals of Trigonometric Ratios - Explanation

7.8 Reciprocals of Trigonometric Ratios - Examples

7.9 Solving right angle triangles (given a side and an angle) - Explanation

7.10 Solving right angle triangles (given a side and an angle) - Example 1

7.11 Solving right angle triangles (given two sides) - Explanation

7.12 Solving right angle triangles (given two sides) - Example 1

7.13 Angles of Elevation and Depression - Explanation

7.14 Angles of Elevation and Depression - Example 1

7.15 Angles of Elevation and Depression - Example 2

7.16 Angles of Elevation and Depression - Example 3

7.17 The CAST Diagram - Explanation

7.18 The CAST Diagram - Example 1

7.19 The CAST Diagram - Example 2

7.20 The CAST Diagram - Example 3

7.21 The CAST Diagram - Example 4

7.22 Special Angles - Explanation

7.23 Special Angles - Examples

7.24 The Sine Graph - Explanation

7.25 The Sine Graph - Amplitude Change

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Functions 27 Topics

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8.1 Functions - Explanation

8.2 Function Notation - Explanation

8.3 Function Notation - Example 1

8.4 Function Notation - Example 2

8.5 The Linear Function - Sketching using the table method

8.6 The Linear Function - Sketching using the dual intercept method

8.7 The Linear Function - Sketching using the gradient y-intercept method

8.8 The Linear Function - Writing the Equation in Standard Form

8.10 The Linear Function - Finding the Equation Example 1

8.11 The Linear Function - Finding the Equation Example 2

8.12 The Quadratic Function - The Parabola

8.13 The Quadratic Function (The Parabola) - Sketching Example 1

8.14 The Quadratic Function (The Parabola) - Finding the Equation Example 1

8.15 The Quadratic Function (The Parabola) - Finding the Equation Example 2

8.16 The Quadratic Function (The Parabola) - Finding the Equation Example 3

8.17 The Hyperbolic Function - (The Hyperbola)

8.18 The Hyperbolic Function (The Hyperbola) - Sketching Example 1

8.19 The Hyperbolic Function (The Hyperbola) - Sketching Example 2

8.20 The Hyperbolic Function (The Hyperbola) - Finding the Equation Example 1

8.21 The Hyperbolic Function (The Hyperbola) - Finding the Equation Example 2

8.22 The Exponential Function - Explanation

8.23 The Exponential Function - Sketching Example 1

8.24 The Exponential Function - Sketching Example 2

8.25 The Exponential Function - Finding the Equation Example 1

8.26 The Exponential Function - Finding the Equation Example 2

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Analytical Geometry 14 Topics

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9.1 The Distance Formula - Explanation

9.2 The Distance Formula - Example 1

9.3 The Distance Formula - Example 2

9.4 The Distance Formula - Example 3

9.5 The Midpoint Formula - Explanation

9.6 The Midpoint Formula - Example 1

9.7 The Midpoint Formula - Example 2

9.8 The Midpoint Formula - Example 3

9.9 The Gradient of a Line - Explanation

9.10 The Gradient of a Line - Parallel and Perpendicular Explanation

9.11 The Gradient of a Line - Parallel and Perpendicular Example 1

9.12 The Gradient of a Line - Parallel and Perpendicular Example 2

9.13 Analytical Geometry - Mixed Example 1

9.14 Analytical Geometry - Mixed Example 2

Financial Mathematics 8 Topics

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10.1 The Simple Interest Formula - Explanation

10.2 The Compound Interest Formula - Explanation

10.3 Compound Interest - Example 1

10.4 Compound Interest - Example 2

10.5 Compound Interest - Example 3

10.6 Compound Interest - Example 4

10.7 Compound Interest - Example 5

10.8 Compound Interest - Example 6

Volume and Surface Area 8 Topics

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13.1 Volume Formulae for Right Prisms

13.2 Surface Area Formulae for Right Prisms

13.3 Volume and Surface Area of Cylinders

13.4 Volume and Surface Area of Cones

13.5 Volume and Surface Area of Pyramids

13.6 Volume and Surface Area of Spheres

13.7 Volume and Surface area of Hemispheres

13.8 Multiplying by a Scale Factor of k.

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