01 / QUICK RECAP
Connect the ideas.
- Find the right angle before naming the hypotenuse.
- Name opposite and adjacent relative to the acute angle being used.
- Use Pythagoras for two known sides and an unknown side.
- Use a ratio for one known angle/side; use an inverse ratio for an angle from two sides.
- Use degree mode and round the final result only.
- Interpret total height, final height and a drop as different quantities.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Pythagoras and Trigonometry — Practice paper 1
Apply right-triangle geometry to diagrams, lengths, angles and contextual decisions.
16 questions · 43 marks · 55 minutes · Scientific calculatorPythagoras and Trigonometry — Practice paper 2
Apply right-triangle geometry to diagrams, lengths, angles and contextual decisions.
16 questions · 44 marks · 55 minutes · Scientific calculatorPythagoras and Trigonometry — Applications paper
Apply right-triangle geometry to diagrams, lengths, angles and contextual decisions.
16 questions · 59 marks · 60 minutes · Scientific calculator
Curriculum reference & lesson scope
Australian Curriculum v9 and SA Mathematics
Year 9 similarity, Pythagoras and right-triangle trigonometric ratios, with prerequisite revision. Non-right-triangle sine/cosine rules are not required.
Official curriculum source ↗