Whether you are about to enter into your senior years or you are already in the midst of its chaos, we’ve put together an all-in-one guide for HSC Standard Maths for you to use!

From ensuring that you have covered all your past topics before the next exam or you are anticipating what the next two years may bring. We have you covered.

Standard Maths is a 2-unit course that builds on mathematical concepts and problem-solving skills you have learned in Years 9 and 10.

Thus, it is good to revise and ensure you have a good understanding of the following topics:

Area and Surface Area

Financial Mathematics

Linear Relationships

Non-Linear Relationships

Right-angled triangles (trigonometry)

Single variable data analysis

Volume

Equations

Probability

Introduction to HSC Standard Maths

Unlike Mathematics Advanced or Extension, the Standard course is not based on calculus and instead focuses on practical and applicable mathematical skills for students entering the workforce or pursuing tertiary education.

As the education board describes, Mathematics ‘improves numeracy by building student confidence and making mathematics meaningful’.

Four topics are studied in Year 11:

Algebra (Formula and Equations and Linear Relationships)

Measurement (Applications of Measurement and Working with Time

Financial Mathematics (Money Matters)

Statistical Analysis (Data Analysis and Relative Frequency and Probability)

Five topics are studied in Year 12:

Algebra (Types of Relationships)

Measurement (Non-right-angled Trigonometry and Rates and Ratios)

Financial Mathematics (Investments and Loans and Annuities

Statistical Analysis (Bivariate Data Analysis and The Normal Distribution

Networks (Network Concepts and Critical Path Analysis)

In studying the above topics, you will develop your knowledge, understanding and skills in working and communicating mathematically. By studying how maths is used in a broad range of contemporary contexts, problem solving skills are taught to provide you with skills for the rest of your life!

Algebra

Algebra involves the use of symbols (all those x and y that pop up in your math textbooks, including the occasional Greek alphabet) to represent numbers or quantities. This helps you to break down problems or utilise formulas, helping to develop logical and sequential thinking to help with problem-solving.

Year 11 subtopics include:

Substitution

Equations

Changing the Subject

Travel Calculations

Blood Alcohol Content

Medication

Year 12 subtopics include:

Simultaneous equations

Break-Even Analysis

Exponential Functions and Models

Quadratic Functions and Models

Reciprocal Functions and Models

Inverse Variation

Measurement

Measurement teaches you how to solve practical problems using numbers and geometry. From area to volume, to calculate the energy you receive from the food you eat — this topic demonstrates how measurement exists in all aspects of our lives.

Year 11 subtopics include:

Units of Measurement

Measurement Errors

Standard Form and Significant Figures

Food and Nutrition

Energy Consumption

Perimeter, Area and Volume

Perimeter

Area of Circles and Sectors

Area of Composite Shapes

Trapezoidal Rules

Surface Area

Volume

Capacity

Time

Latitude and Longitude

Year 12 subtopics include:

Rates and Concentration

Ratio calculations

Scale drawing

Perimeter, area and volume

Heart and Energy Rate

Fuel Consumption Rate

Trigonometry: Sine and Cosine Rule

Angles of elevation and depression

Compass and True Bearings

Area of a Triangle

Financial Maths

For everything to do with money — financial maths focusses on earning, spending, investing, saving and borrowing money. These topics will help you to make independent and informed decisions about your finances and evaluate the financial information given to you.

Year 11 subtopics include:

Salary and wages

Annual Leave Loading and Bonuses

Overtime and Allowances

Commission

Piecework, Royalties

Allowable Tax Deductions

Taxable Income

Gross Pay, Net Pay and Deductions

Calculating Tax

Interest and Depreciation

Calculating GST

Household Bills

Car Insurance

Personal Budget

Year 12 subtopics include:

Future value

Appreciation and Inflation

Shares and Dividends

Declining Balance Depreciation

Reducing-Balance Loans

Credit Cards

Annuities as a Recurrence

Future and Present Value Table

Statistical Analysis

The statistical analysis looks at the collection, exploration, display, analysis and interpretation fo data to communicate information. It helps you to interpret and understand data to make your own decisions and draw your conclusions independently.

Year 11 subtopics include:

Classification of Data

Dot Plots and Stem-and-Leaf Plots

Box and Whisker graphs

Grouped Frequency Tables

Cumulative Frequency

Pareto Charts

Motor Vehicle Statistics

Water Usage

Linear Relationships

Measures of Central Tendency, Spread and Outliers

Describing and Comparing Distributions

Year 12 subtopics:

Bivariate Data Analysis

Bivariate Scatterplot

Line of Best Fit

Correlation Coefficient

Interpolation and Extrapolation

Statistical Investigation

Normal Distribution

Z Scores and Comparing Data

Networks

Networks is a relatively new course and only studied in Year 12. Networks involve graphical representations of situations to help inform your decision-making by using logical sequences to understand the relationship between people or things.

Year 12 subtopics include:

Networks

Network Travels and Diagrams

Eulerian and Network Problems

Minimal Spanning Trees and Connector Problems

Network Diagrams

Forward and Backward Scanning

Float Times and Critical Path

Minimum Completion Time

Network Flow Problems

On the hunt for other useful HSC Standard Maths resources?

Check out some of the other articles we’ve created below:

Looking for some extra help for your child with HSC Standard Maths?

We have an incredible team of Maths tutors and mentors!

We offer tutoring and mentoring for students in Years K-12 in a variety of subjects, with personalised lessons conducted one-on-one in your home or at one of our state of the art campuses in Hornsby or the Hills!

We’ve supported over 8,000 students over the last 11 years, and on average our students score mark improvements of over 20%!

To find out more and get started with an inspirational English tutor and mentor,get in touch today or give us a ring on 1300 267 888!

Tiffany Fong is currently completing a double degree in Media and Communications with Law at Macquarie University. She currently contributes to the university zine, Grapeshot where she enjoys writing feature articles, commentary on current affairs or whatever weird interest that has taken over her mind during that month. During her spare time, Tiffany enjoys reading, writing, taking care of her plants or cuddling with her two dogs.