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 stadium entrance has three automatic counters. One flashes after every visitors, another after every visitors, and the third after every visitors. All three flash together when counting starts.
Total: 4 marks
(a) After how many visitors will all three counters next flash together? (2 marks)
(b) At that instant, how many times has the -visitor counter flashed after the start? (1 mark)
(c) A student says the answer to part (a) should be the HCF. Explain why that is wrong. (1 mark)
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