Year 8 Maths in Australia: What Your Child Learns

Year 8 deepens algebra and geometry. Students expand and factorise expressions, work with linear relationships and graphs, and reason more formally about shapes.

This guide explains what your child learns in Year 8 maths under the Australian Curriculum, the skills to watch for, and easy ways to help at home.

What your child learns in Year 8

Australian maths is organised into six areas. Here is what each looks like in Year 8.

Number

Working with percentages, rates and ratios, and using them to solve practical problems.

Algebra

Expanding and factorising simple expressions, solving linear equations, and graphing linear relationships.

Measurement

Finding the area of circles and the volume of prisms, and working with the relationships between length, area and volume.

Space

Investigating congruent shapes and transformations, and using geometric reasoning to solve problems.

Statistics

Analysing and comparing data sets, and exploring how a sample represents a population.

Probability

Working with two-step chance experiments, two-way tables and Venn diagrams, and complementary events.

💡 Parent tip: Year 8 algebra builds straight on Year 7. If expanding and factorising feel shaky, a quick review of Year 7 algebra pays off fast.

🖼️ Image: Geometry and angles in sport and architecture — real-world shapes. *(Replace this line with your uploaded image.)*

What is new compared to Year 7

Real-life maths in Year 8

• Rates such as speed and price-per-kilogram.
• Scaling and ratios in recipes and models.
• Data and chance in sport and games.
• Circles in everyday design and engineering.

Skills to look for by the end of Year 8

By the end of the year, most students can:

• Solve problems with rates and ratios
• Expand and factorise simple expressions
• Graph linear relationships
• Find the area of circles
• Use two-way tables and Venn diagrams
• Find complementary probabilities

Where Year 8 students often struggle

• Factorising — it feels like algebra running in reverse.
• Reading and drawing linear graphs.
• Keeping working organised as problems get longer.

💡 Parent tip: Factorising trips up many students because it works "backwards". Practising expanding and factorising side by side makes the link click.

How you can help at home

• Point out rates and ratios in daily life.
• Encourage regular graphing practice.
• Keep working neat and step-by-step.
• Use online practice for instant feedback.

Try a few Year 8 questions

1. Expand 3(x + 4).
2. Factorise 6x + 9.
3. What is 15% of 200?
4. Find the area of a circle with radius 5 cm (use π ≈ 3.14).

🎯 Want more? Your child can try 10 free Year 8 questions — multiple choice, with instant feedback.

Free Year 8 maths worksheets

Printable, curriculum-aligned worksheets for Year 8 topics — algebra, rates, geometry and more — each with an answer key. Browse and download free Year 8 maths worksheets here.

Does this change by state?

Year 8 maths is broadly the same nationwide. In NSW, Year 8 sits in Stage 4 with a Core–Paths structure, but the core content matches the national curriculum.

Keep going

• ← Year 7 maths guide
• → Year 9 maths guide
• 📘 The complete Australian maths curriculum guide

Year 8 is the expand-and-factorise year. Practise the two side by side and the algebra clicks.