Set notation (∪, ∩, complement)
AQA GCSE Maths revision on Set notation (∪, ∩, complement). 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
If set A contains {1, 2, 3} and set B contains {3, 4, 5}, what is the intersection of A and B?
- A) {3} as it is the only element shared by both sets
- B) {1,2,3,4,5} as it combines the elements of both
- C) {2,4} as it represents the middle range values
- D) {1,2,4,5} as it excludes the common middle value
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Answer: {3} as it is the only element shared by both sets
The intersection (A ∩ B) represents only the elements that are present in both sets. Since 3 is the only number found in both {1, 2, 3} and {3, 4, 5}, the correct answer is {3}.
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Question 2
Given the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?
- A) {3,4,5} because these are elements in U not in A
- B) {1,2,3} because these are elements from the start
- C) {3,4,5,6} because it extends the universal range
- D) {1,2,4,5} because it excludes the middle element
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Answer: {3,4,5} because these are elements in U not in A
The complement of set A (A') consists of all elements in the universal set U that are not in A. By removing 1 and 2 from {1, 2, 3, 4, 5}, we are left with {3, 4, 5}.
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Question 3
Set A contains {2, 4, 6} and set B contains {6, 8, 10}. How many elements are in the union of A and B?
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Answer: 5
The union (A ∪ B) combines all elements from both sets. The elements are {2, 4, 6, 8, 10}, which totals 5 unique elements.
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13 more questions on Set notation (∪, ∩, complement) — plus mistakes tracking and spaced repetition across the whole Maths spec.