Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Sets 2
19 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
4 marks · Normal
Answer and see the solution →The universal set is U = {1,2,3,4,5,6,7,8,9,10}. Let A = {x ∈ U : x is even}, B = {x ∈ U : x ≥ 6}.
(a)[2 marks]List the elements of sets A and B.
(b)[2 marks]Find A ∩ B and (A ∪ B)′.
Question 2
2 marks · Normal
Answer and see the solution →Is the statement below true or false? Justify your answer. 'If E and F are sets and E ∩ F = ∅, then E and F have no elements in common.'
Question 3
3 marks · Normal
Answer and see the solution →In a group of 60 students, 34 study French, 29 study Spanish, and 18 study both languages. How many students study at least one of these two languages?
Question 4
2 marks · Normal
Answer and see the solution →Write the set of natural numbers less than 8 in set-builder notation.
Question 5
2 marks · Normal
Answer and see the solution →State whether the following statement is true or false. Justify your answer. 'If n(A ∩ B) = 0, then sets A and B have no elements in common.'
Question 6
4 marks · Normal
Answer and see the solution →The universal set is .
Let , , .
(a)[2 marks]List all elements belonging to exactly two of the sets L, M, and N.
(b)[2 marks]Write the elements that belong to none of the three sets.
Question 7
3 marks · Normal
Answer and see the solution →Complete the following table for the sets below, where .
Set Elements P = {x ∈ U : x is odd} Q = {x ∈ U : x is a multiple of 3} P ∪ Q P ∩ Q Question 8
3 marks · Normal
Answer and see the solution →Given the Venn diagram representing three sets A, B and C within universal set U:
(a)[2 marks]Shade the region representing (A ∩ B′ ) ∪ (B ∩ C).
(b)[1 mark]How many distinct regions are there in a three-set Venn diagram?