Venn diagrams & set notation
AQA GCSE Maths revision on Venn diagrams & set notation. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
In a group of 30 students, 15 study Maths, 12 study French, 8 study both. How many study Maths only?
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Answer: 7
Total in Maths = 15. Of those, 8 also do French. Maths only = 15 - 8 = 7. Venn diagram method.
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Question 2
Set A union B is the set of elements that...
- A) Are in BOTH A and B
- B) Are in A OR B (or both)
- C) Are in neither
- D) Are only in A
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Answer: Are in A OR B (or both)
Union (symbol U): all elements in A, or in B, or in both. Like 'or'. Intersection (n) is 'and': only elements in both.
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Question 3
A = {1, 2, 3, 4}, B = {3, 4, 5, 6}. A intersect B = ?
- A) {1, 2, 3, 4, 5, 6}
- B) {3, 4}
- C) {1, 2, 5, 6}
- D) {}
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Answer: {3, 4}
Intersection contains only elements in BOTH sets. 3 in both: yes. 4 in both: yes. Others not. So A n B = {3, 4}.
Want to test yourself on the remaining cards for this topic?
13 more questions on Venn diagrams & set notation — plus mistakes tracking and spaced repetition across the whole Maths spec.