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General Maths Topics

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1. Pythagorean Theorem

1.1 Squares and square roots
1.2 Pythagorean theorem
1.3 Estimating square roots
1.4 Using the pythagorean relationship
1.5 Applications of pythagorean theorem

2. Surface Area and Volume

2.1 Surface area and volume of prisms
2.2 Surface area and volume of pyramids
2.3 Surface area and volume of cylinders
2.4 Surface area and volume of cones
2.5 Surface area and volume of spheres

3. Circles

3.1 Angles in a circle
3.2 Chord properties
3.3 Tangent properties
3.4 Circle and circumference
3.5 Arcs of a circle
3.6 Areas and sectors of circles
3.7 Inscribed Angles and Proofs
3.8 Central and inscribed angles in circles

4. Scale Factors and Similarity

4.1 Enlargements and reductions with scale factors
4.2 Scale diagrams
4.3 Similar triangles
4.4 Similar polygons

5. Trigonometry

5.1 Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
5.2 Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
5.3 Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
5.4 Combination of SohCahToa questions
5.5 Solving expressions using 45-45-90 special right triangles
5.6 Solving expressions using 30-60-90 special right triangles
5.7 Word problems relating ladder in trigonometry
5.8 Word problems relating guy wire in trigonometry
5.9 Other word problems relating angles in trigonometry

6. Sine Rule and Cosine Rule

6.1 Sine rule
6.2 Cosine rule
6.3 Sine rule and cosine rule word problems

7. Bearings

7.1 Introduction to bearings
7.2 Bearings and direction word problems
7.3 Angle of elevation and depression

8. Linear Functions

8.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
8.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
8.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
8.4 Gradient intercept form: y = mx + b
8.5 General form: Ax + By + C = 0
8.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
8.7 Rate of change
8.8 Graphing linear functions using table of values
8.9 Graphing linear functions using x- and y-intercepts
8.10 Graphing from slope-intercept form y=mx+b
8.11 Graphing linear functions using a single point and gradient
8.12 Word problems of graphing linear functions
8.13 Parallel and perpendicular lines in linear functions
8.14 Applications of linear relations
8.15 Perpendicular line equation

9. Simultaneous Equations

9.1 Determining number of solutions to linear equations
9.2 Solving simultaneous linear equations by graphing
9.3 Solving simultaneous linear equations by elimination
9.4 Solving simultaneous linear equations by substitution
9.5 Money related questions in linear equations
9.6 Unknown number related questions in linear equations
9.7 Distance and time related questions in linear equations
9.8 Rectangular shape related questions in linear equations
9.9 Simultaneous linear-quadratic equations
9.10 Simultaneous quadratic-quadratic equations
9.11 Solving 3 variable simultaneous equations by substitution
9.12 Solving 3 variable simultaneous equations by elimination
9.13 Solving 3 variable simultaneous equations with no or infinite solutions
9.14 Word problems relating 3 variable simultaneous equations

10. Operations with Algebraic Expressions

10.1 Simplifying algebraic fractions and restrictions
10.2 Adding and subtracting algebraic fractions
10.3 Multiplying algebraic fractions
10.4 Dividing algebraic fractions
10.5 Solving equations with algebraic fractions
10.6 Applications of equations with algebraic fractions
10.7 Simplifying complex fractions
10.8 Partial fraction decomposition

11. Reciprocal Functions

11.1 Graphing reciprocals of linear functions
11.2 Graphing reciprocals of quadratic functions

12. Statistics

12.1 Classification of data
12.2 Median and mode
12.3 Mean
12.4 Range and outliers
12.5 Application of averages
12.6 Frequency distribution and histograms
12.7 Spread of a data set - standard deviation & variance
12.8 Measures of relative standing - z-score, quartiles, percentiles

13. Bivariate Data

13.1 Scatter plots and correlation
13.2 Regression analysis
13.3 Equation of the best fit line

14. Sequences

14.1 Arithmetic sequences
14.2 Geometric sequences

15. Introduction to Matrices

15.1 Notation of matrices
15.2 Adding and subtracting matrices
15.3 Scalar multiplication
15.4 Matrix multiplication
15.5 The three types of matrix row operations
15.6 Representing a linear system as a matrix
15.7 Solving a linear system with matrices using Gaussian elimination

16. Properties of Matrices

16.1 Zero matrix
16.2 Identity matrix
16.3 Properties of matrix addition
16.4 Properties of scalar multiplication
16.5 Properties of matrix multiplication

16 Chapters · 101 Topics · 720 Videos

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Yes — our General Maths content covers all major topics regardless of textbook, aligned to standard high school curriculum for your region.

Is General Maths harder than other Year 11 maths courses?

General Maths focuses on practical applications like statistics and financial maths. It's designed to be accessible while building real-world skills.

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