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 designer cuts a quadrant of radius cm from a square sheet of side cm to make a decorative corner piece. Take .
Total: 5 marks
(a) Find the area of the quadrant removed. (1 mark)
(b) Find the area left in the square sheet. (2 marks)
(c) Find the curved length of the cut edge. (2 marks)
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