Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Sets 2
19 practice questions
Practice questions
11–19 of 19
Question 11
2 marks · Normal
Answer and see the solution →Write the set of natural numbers less than 8 in set-builder notation.
Question 12
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 13
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 14
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 15
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?
Question 16
2 marks · Hard
Answer and see the solution →Express the set of all positive integers greater than 4 and less than or equal to 15 in set-builder notation.
Question 17
4 marks · Hard
Answer and see the solution →Let .
Write the following sets using set-builder notation:
(a)[1 mark]The set of all negative elements of .
(b)[1 mark]The set of all in such that .
(c)[1 mark]The set of elements of that are not odd numbers.
(d)[1 mark]The set of all elements in such that .
Question 18
4 marks · Hard
Answer and see the solution →Consider the set .
A student claims the set can also be written in the form .
Explain whether the student's claim is correct. Justify your answer, referring to set-builder notation.
Question 19
2 marks · Hard
Answer and see the solution →The universal set is .
Let , .
List the elements belonging to .