Set notation (∪, ∩, complement)
Edexcel GCSE Maths revision on Set notation (∪, ∩, complement). Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
Given set A equals {2, 4, 6} and set B equals {6, 8, 10}, what is the intersection of A and B?
- A) {6} is the only element shared by both sets
- B) {2, 4} are elements unique to set A alone
- C) {8, 10} are elements unique to set B alone
- D) {2, 4, 6, 8, 10} represents the total union
Show answer
Answer: {6} is the only element shared by both sets
The correct answer is {6} is the only element shared by both sets. Intersection only includes elements common to both sets, whereas the union would include all elements from both. Distractors represent either the union or elements exclusive to one set.
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Question 2
If set P contains {1, 3, 5} and set Q contains {2, 4, 6}, what is the result of P union Q?
Show answer
Answer: {1, 2, 3, 4, 5, 6}
The union operation combines all elements from both sets into a single set. Since P and Q share no elements, the result is simply the list of all members from both sets combined.
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Question 3
If the universal set is {1, 2, 3, 4, 5} and set A is {1, 2}, what is the complement of A?
- A) {3, 4, 5} are elements not found in set A
- B) {1, 2, 3} are elements found in the set A
- C) {1, 2, 4} are elements not found in set A
- D) {3, 4, 5, 6} are elements not found in set A
Show answer
Answer: {3, 4, 5} are elements not found in set A
The correct answer is {3, 4, 5} are elements not found in set A. The complement consists of everything in the universal set excluding the members of A. Other options include either the original set or incorrect values outside the universal set.
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13 more questions on Set notation (∪, ∩, complement) — plus mistakes tracking and spaced repetition across the whole Maths spec.