Case study·Standard multi-step (3/5)·No calculator
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A garden sprinkler waters a sector of radius m and central angle . Take .
Total: 5 marks
(a) Find the arc length of the watered boundary. (1 mark)
(b) Find the area watered by the sprinkler. (2 marks)
(c) Find the total boundary length of the watered sector. (2 marks)
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