Zandile Loves Maths

Properties of lines

Test Your Knowledge: Properties of lines

Parallel lines

Test Your Knowledge: Parallel lines

Example : Properties of lines and Parallel lines

Exercise: Properties of lines and Parallel lines

Triangle notes

Example: Triangles

Exercise: Triangles

Quadrilaterals notes

Test Your Knowledge: Quadrilaterals

Circle Terminology

Test Your Knowledge: Circle Terminology

Theorem 1: Perpendicular from circle centre bisects chord

Example : Theorem 1

Exercise : Theorem 1

Proof for Theorem 1: Perpendicular line from circle centre bisects chord

Theorem 2: Angle at the centre is equal to two times angle at the circumference

Exercise : Theorem 2

Proof for Theorem 2: Angle at the centre is equal to two times angle at the circumference

Theorem 3: Angles in the same segment

Example : Theorem 3

Exercise : Theorem 3

Proof for Theorem 3: Angles in the same segment

Theorem 4: Cyclic Quadrilateral

Example 1: Theorem 4

Exercise 1: Theorem 4

Proof for Theorem 4: Opposite angles of a cyclic quad are supplementary

Proof Cyclic Quadrilaterals

Example 2: Proof Cyclic Quadrilaterals

Exercise 2: Proofing Cyclic Quadrilaterals

Theorem 5: Tangents (Tangents from same point and tangent perpendicular to radius)

Example 1: Theorem 5

Exercise 1: Theorem 5

Proof for Theorem 5: Tangents from the same point

Theorem 5: Tan-chord theorem

Example 2: Theorem 5

Exercise 2: Theorem 5

Proof for Theorem 5: Tan-chord theorem

Grade 11 Questions from Past Papers Overview

Nov 2022 Question 8.1 (Example)

Nov 2022 Question 9.2 (Example)

Nov 2021 Question 9

Nov 2020 Question 8

Nov 2019 Question 8.1

Nov 2019 Question 9

Nov 2018 Question 8.1

Nov 2018 Question 9.2

Distance or length formula

Distance or length formula: Exercise

Midpoint part 1

Midpoint part 1: Exercise

Midpoint part 2

Midpoint part 2: Exercise

Equation of a line

Equation of a line: Exercise

Angle of inclination of a positive gradient part 1

Angle of inclination of a positive gradient part 1: Exercise

Angle of inclination of a positive gradient part 2

Angle of inclination of a positive gradient part 2: Exercise

Angle of inclination of a negative gradient part 1

Angle of inclination of a negative gradient part 1: Exercise

Angle of inclination of a negative gradient part 2

Angle of inclination of a negative gradient part 2: Exercise

Past paper part 1

Linear Equation

Linear Equation : Exercise

Linear Intercepts

Linear Intercepts: Exercise

Linear Domain and Range

Linear Domain and Range: Exercise

Linear Sketching

Linear Sketching: Exercise

Linear Determining the equation

Linear Determine the equation: Exercise

Quadratic Equation

Quadratic Equation : Exercise

Quadratic Intercepts

Quadratic Intercepts: Exercise

Quadratic Turning point

Quadratic Turning point: Exercise

Quadratic Domain and Range

Quadratic Domain and Range: Exercise

Quadratic Turning point, Domain and Range: Example 1

Quadratic Turning point, Domain and Range: Exercise 1

Quadratic Turning point, Domain and Range: Example 2

Quadratic Turning point, Domain and Range: Exercise 2

Quadratic Turning point, Domain and Range: Example 3

Quadratic Turning point, Domain and Range: Exercise 3

Quadratic Axis of symmetry

Quadratic Axis of symmetry: Example 1

Quadratic Axis of symmetry: Example 2

Quadratic Axis of symmetry: Exercise

Quadratic Sketching

Quadratic Sketching: Exercise

Quadratic Determining the equation case 1

Quadratic Determining the equation case 2

Quadratic Determining the equation case 3

Quadratic Determining the equation (case 1-3): Exercise

Quadratic Shifting: Example 1

Quadratic Shifting: Example 2

Quadratic Shifting: Exercise

Quadratic Average gradient

Quadratic Average Gradient: Exercise

Quadratic Reflect about the x-axis

Quadratic Reflect about the y-axis

Quadratic Reflect about the x-axis & y-axis: Exercise

Quadratic Questions on inequality: Example 1 part 1

Quadratic Questions on inequality: Example 1 part 2

Quadratic Questions on inequality: Example 2

Quadratic Questions on inequality: Example 3

Quadratic Questions on inequality : Exercise

Quadratic Nature of roots notes

Quadratic Nature of roots: Example 1

Quadratic Nature of roots: Example 2

Quadratic Nature of roots: Exercise

Quadratic Word problems: Example 1

Quadratic Word problems: Exercise 1

Quadratic Word problems: Example 2

Quadratic Word problems: Exercise 2

Quadratic and Linear Function notes

Quadratic Involving intersection: Example

Quadratic Involving intersection and nature of roots: Example 1

Quadratic Involving intersection and nature of roots: Example 2

Quadratic and Linear involving x-intercepts: Example

Quadratic and Linear: Exercise

Hyperbola Equation

Hyperbola Exercise: Equation

Hyperbola Asymptotes

Hyperbola Asymptotes: Exercise

Hyperbola Domain and Range

Hyperbola Domain and Range: Exercise

Hyperbola Intercepts

Hyperbola Intercepts: Exercise

Hyperbola Axes of symmetry

Hyperbola Axes of symmetry: Exercise

Hyperbola Sketching

Hyperbola Sketching: Exercise

Hyperbola Determing the equation: Example 1

Hyperbola Determining the equation:Example 2

Hyperbola Determining the equation: Exercise

Hyperbola Question Example part 1

Hyperbola Question Exercise part 1

Hyperbola Question Example part 2

Hyperbola Question Exercise part 2

Hyperbola Question Example part 3

Hyperbola Question Exercise part 3

Hyperbola Question Example part 4

Hyperbola Question Exercise part 4

Hyperbola Word problems: Example 1

Hyperbola Word problems: Exercise 1

Hyperbola Word problems: Example 2

Hyperbola Word problems: Exercise 2

Hyperbola Word problems: Example 3

Hyperbola Word problems: Exercise 3

Hyperbola Word problems: Example 4

Hyperbola Word problems: Exercise 4

Hyperbola + Linear

Hyperbola + Quadratic