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 circular field has radius 2828 m. A farmer wants to fence it and spread seed over the whole field. Take π=227\pi=\frac{22}{7}.
Total: 5 marks

(a) Find the length of fencing required. (1 mark)

(b) Find the area to be seeded. (2 marks)

(c) If seed is needed at 22 kg per 100100 m2^2, find the seed required to the nearest kilogram. (2 marks)

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