Sets 3
3 marks · NormalOn a Venn diagram, set A represents people in a club who speak French, and set B represents those who speak Spanish. Out of 40 people, 18 speak French, 22 speak Spanish, and 9 speak both languages. Calculate how many people speak only Spanish.
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13
Also accept: 22 - 9 = 13
Common mistakes: Failing to subtract the intersection; Using total set size as answer
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Marking points
M1 · 1 mark · Correctly identifies that people who speak both must be subtracted from the total for Spanish speakers. (follow-through)
M2 · 1 mark · Shows working or reasoning: 22 - 9.
A1 · 1 mark · Correct final answer: 13.
Worked solution
People who speak only Spanish = total Spanish speakers minus those who speak both.
Final answer: 13