Connect the ideas.
- Match opposite side-angle pairs before choosing a rule.
- Use right-triangle methods only when a right angle is justified.
- Test both SSA sine-angle candidates.
- Use cosine rule for SAS/SSS and the included angle in an area rule.
- Bearings start clockwise from north; elevation/depression start from horizontal.
- Keep working precision and check units, angle sums, side order and triangle inequality.
Put it together.
Choose a paper and show your working.
Practical trigonometry — Practice test 1
Use degree mode. Give calculated lengths and angles to one decimal place unless stated otherwise; bearings use three digits to the nearest degree. In triangle ABC, a is opposite A, b opposite B and c opposite C. Show working and units.
10 questions · 42 marks · 70 minutes · Scientific calculatorPractical trigonometry — Practice test 2
Use degree mode. Give calculated lengths and angles to one decimal place unless stated otherwise; bearings use three digits to the nearest degree. In triangle ABC, a is opposite A, b opposite B and c opposite C. Show working and units.
10 questions · 43 marks · 70 minutes · Scientific calculatorPractical trigonometry — Practice test 3: connected problems
Use degree mode. Give calculated lengths and angles to one decimal place unless stated otherwise; bearings use three digits to the nearest degree. In triangle ABC, a is opposite A, b opposite B and c opposite C. Show working and units.
10 questions · 52 marks · 70 minutes · Scientific calculatorPractical trigonometry — Practice test 4: design and survey
Use degree mode. Give calculated lengths and angles to one decimal place unless stated otherwise; bearings use three digits to the nearest degree. In triangle ABC, a is opposite A, b opposite B and c opposite C. Show working, units and reasons for rejected solutions.
10 questions · 50 marks · 75 minutes · Scientific calculatorPractical trigonometry — Practice test 5: applications and reasoning
Use degree mode. Give calculated lengths and angles to one decimal place unless stated otherwise; bearings use three digits to the nearest degree. In triangle ABC, a is opposite A, b opposite B and c opposite C. Show working, units and reasons for rejected solutions.
10 questions · 58 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 General Mathematics: practical trigonometry, including similarity, right triangles, triangle area, sine/cosine rules and contextual interpretation.
Official curriculum source ↗