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  1. 1Pythagorean Theorem
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    1. 1.1Squares and square roots
    2. 1.2Pythagorean theorem
    3. 1.3Estimating square roots
    4. 1.4Using the pythagorean relationship
    5. 1.5Applications of pythagorean theorem
  2. 2Surface Area and Volume
    1. 2.1Surface area and volume of prisms
    2. 2.2Surface area and volume of pyramids
    3. 2.3Surface area and volume of cylinders
    4. 2.4Surface area and volume of cones
    5. 2.5Surface area and volume of spheres
  3. 3Circles
    1. 3.1Angles in a circle
    2. 3.2Chord properties
    3. 3.3Tangent properties
    4. 3.4Circle and circumference
    5. 3.5Arcs of a circle
    6. 3.6Areas and sectors of circles
    7. 3.7Inscribed Angles and Proofs
    8. 3.8Central and inscribed angles in circles
  4. 4Scale Factors and Similarity
    1. 4.1Enlargements and reductions with scale factors
    2. 4.2Scale diagrams
    3. 4.3Similar triangles
    4. 4.4Similar polygons
  5. 5Trigonometry
    1. 5.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 5.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 5.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 5.4Combination of SohCahToa questions
    5. 5.5Solving expressions using 45-45-90 special right triangles
    6. 5.6Solving expressions using 30-60-90 special right triangles
    7. 5.7Word problems relating ladder in trigonometry
    8. 5.8Word problems relating guy wire in trigonometry
    9. 5.9Other word problems relating angles in trigonometry
  6. 6Sine Rule and Cosine Rule
    1. 6.1Sine rule
    2. 6.2Cosine rule
    3. 6.3Sine rule and cosine rule word problems
  7. 7Bearings
    1. 7.1Introduction to bearings
    2. 7.2Bearings and direction word problems
    3. 7.3Angle of elevation and depression
  8. 8Linear Functions
    1. 8.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 8.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 8.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 8.4Gradient intercept form: y = mx + b
    5. 8.5General form: Ax + By + C = 0
    6. 8.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 8.7Rate of change
    8. 8.8Graphing linear functions using table of values
    9. 8.9Graphing linear functions using x- and y-intercepts
    10. 8.10Graphing from slope-intercept form y=mx+b
    11. 8.11Graphing linear functions using a single point and gradient
    12. 8.12Word problems of graphing linear functions
    13. 8.13Parallel and perpendicular lines in linear functions
    14. 8.14Applications of linear relations
    15. 8.15Perpendicular line equation
  9. 9Simultaneous Equations
    1. 9.1Determining number of solutions to linear equations
    2. 9.2Solving simultaneous linear equations by graphing
    3. 9.3Solving simultaneous linear equations by elimination
    4. 9.4Solving simultaneous linear equations by substitution
    5. 9.5Money related questions in linear equations
    6. 9.6Unknown number related questions in linear equations
    7. 9.7Distance and time related questions in linear equations
    8. 9.8Rectangular shape related questions in linear equations
    9. 9.9Simultaneous linear-quadratic equations
    10. 9.10Simultaneous quadratic-quadratic equations
    11. 9.11Solving 3 variable simultaneous equations by substitution
    12. 9.12Solving 3 variable simultaneous equations by elimination
    13. 9.13Solving 3 variable simultaneous equations with no or infinite solutions
    14. 9.14Word problems relating 3 variable simultaneous equations
  10. 10Operations with Algebraic Expressions
    1. 10.1Simplifying algebraic fractions and restrictions
    2. 10.2Adding and subtracting algebraic fractions
    3. 10.3Multiplying algebraic fractions
    4. 10.4Dividing algebraic fractions
    5. 10.5Solving equations with algebraic fractions
    6. 10.6Applications of equations with algebraic fractions
    7. 10.7Simplifying complex fractions
    8. 10.8Partial fraction decomposition
  11. 11Reciprocal Functions
    1. 11.1Graphing reciprocals of linear functions
    2. 11.2Graphing reciprocals of quadratic functions
  12. 12Statistics
    1. 12.1Classification of data
    2. 12.2Median and mode
    3. 12.3Mean
    4. 12.4Range and outliers
    5. 12.5Application of averages
    6. 12.6Frequency distribution and histograms
    7. 12.7Spread of a data set - standard deviation & variance
    8. 12.8Measures of relative standing - z-score, quartiles, percentiles
  13. 13Bivariate Data
    1. 13.1Scatter plots and correlation
    2. 13.2Regression analysis
    3. 13.3Equation of the best fit line
  14. 14Sequences
    1. 14.1Arithmetic sequences
    2. 14.2Geometric sequences
  15. 15Introduction to Matrices
    1. 15.1Notation of matrices
    2. 15.2Adding and subtracting matrices
    3. 15.3Scalar multiplication
    4. 15.4Matrix multiplication
    5. 15.5The three types of matrix row operations
    6. 15.6Representing a linear system as a matrix
    7. 15.7Solving a linear system with matrices using Gaussian elimination
  16. 16Properties of Matrices
    1. 16.1Zero matrix
    2. 16.2Identity matrix
    3. 16.3Properties of matrix addition
    4. 16.4Properties of scalar multiplication
    5. 16.5Properties of matrix multiplication
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FAQ
  • I'm from NSW and preparing for HSC. Does your General Maths course support the NSW maths syllabus?

    Of course! We cover all materials in the Board of Studies syllabus. The course also contains help in the general maths course in Victoria, South Australia for SACE and the national curriculum for General Mathematics.

  • I will start my General Mathematics next term. However, I want to do some revision on the basics first. Can StudyPug help?

    Sure thing! Your subscription gives you unlimited access to all maths help in all courses. You can review any help in Year 10 maths, or even skip ahead to Year 11 maths and Year 12 maths. To save your precious study time, you can skip, review and learn any materials anytime based on your needs.

  • What course should I take after General Maths?

    The prerequisite for this course is Year 10 maths, and after you mastered general mathematics, your follow up course should be any course at the Unit 3 and 4 levels, including Mathematical Methods or Maths Extension 1.

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