Practical trigonometry — Topic Review | Year 11

QUICK RECAP

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.

Practice tests

Complete each paper and show your working.

Practical trigonometry — Practice test 1
10 questions · 42 marks · 70 minutes · Scientific calculator
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.
Open test Marking guide
Practical trigonometry — Practice test 2
10 questions · 43 marks · 70 minutes · Scientific calculator
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.
Open test Marking guide
Practical trigonometry — Practice test 3: connected problems
10 questions · 52 marks · 70 minutes · Scientific calculator
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.
Open test Marking guide
Practical trigonometry — Practice test 4: design and survey
10 questions · 50 marks · 75 minutes · Scientific calculator
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.
Open test Marking guide
Practical trigonometry — Practice test 5: applications and reasoning
10 questions · 58 marks · 75 minutes · Scientific calculator
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.
Open test Marking guide

Back to Practical trigonometry

Connect the ideas

Practice tests

Practical trigonometry — Practice test 1

Practical trigonometry — Practice test 2

Practical trigonometry — Practice test 3: connected problems

Practical trigonometry — Practice test 4: design and survey

Practical trigonometry — Practice test 5: applications and reasoning