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 school makes a small triangular logo and a larger similar logo. The small logo has sides 66 cm, 88 cm and 1010 cm. The side corresponding to 66 cm is 1515 cm in the larger logo.
Total: 4 marks

(a) Find the scale factor from the small logo to the large logo. (1 mark)

(b) Find the remaining two sides of the larger logo. (2 marks)

(c) Find the perimeter of the larger logo. (1 mark)

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