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A-LevelMathematicsProbability and statisticsFeb/Mar 2021Paper 5 Q711 Marks

There are 400 students at a school in a certain country. Each student was asked whether they preferred swimming, cycling or running and the results are given in the following table. | | Swimming | Cycling | Running | |-----------|----------|---------|---------| | Female | 104 | 50 | 66 | | Male | 31 | 57 | 92 | A student is chosen at random. On average at all the schools in this country 30% of the students do not like any sports.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Mathematics Question

Topic

This structured question tests Probability and statistics in A-Level Mathematics (syllabus code 9709). It is worth 11 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Feb/Mar 2021 examination, Paper 5 Variant 2.

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