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
Two similar triangular tiles are made. The smaller tile has sides cm, cm and cm and area cm. The side corresponding to cm is cm in the larger tile.
Total: 4 marks
(a) Find the scale factor from smaller to larger tile. (1 mark)
(b) Find the area of the larger tile. (2 marks)
(c) State why the smaller tile is right-angled. (1 mark)
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