Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Sets
20 practice questions
Practice questions
1–10 of 10 · Normal
Question 1
2 marks · Normal
Answer and see the solution →List all the elements of the set where is a whole number and .
Question 2
2 marks · Normal
Answer and see the solution →Write the following set using set notation: The set of vowels in the English alphabet.
Question 3
4 marks · Normal
Answer and see the solution →The sets and are shown.
(a)[1 mark]Write down .
(b)[1 mark]Write down .
(c)[2 marks]List all elements of the set (the complement of ), assuming the universal set is .
Question 4
4 marks · Normal
Answer and see the solution →In a survey, 35 students were asked if they play football (F) or tennis (T).
Results Category Number of students Play only football 15 Play only tennis 12 Play both sports 5 Play neither 3 (a)[1 mark]How many students play football?
(b)[1 mark]How many students play tennis?
(c)[1 mark]How many play exactly one sport?
(d)[1 mark]Verify that the total number of students is 35.
Question 5
3 marks · Normal
Answer and see the solution →The Venn diagram shows sets E and F in a universal set S.
Venn diagram for question 6. (a)[1 mark]What name is given to the overlapping part of E and F?
(b)[1 mark]Write the symbol or notation for the region that is inside E or inside F or both.
(c)[1 mark]Write in set notation the region outside both E and F.
Question 6
4 marks · Normal
Answer and see the solution →Let and .
(a)[2 marks]List all the elements in .
(b)[1 mark]List all the elements in .
(c)[1 mark]List all the elements in , if the universal set is .
Question 7
2 marks · Normal
Answer and see the solution →State whether the following statement is true or false: If is an element of both sets and , then .
Question 8
4 marks · Normal
Answer and see the solution →Let the universal set . Set and set .
(a)[1 mark]List the elements of .
(b)[1 mark]List the elements of .
(c)[1 mark]Write down , the complement of set in .
(d)[1 mark]Describe, using set notation, the set of elements in that belong to but not to .
Question 9
3 marks · Normal
Answer and see the solution →Write down the meaning of these three symbols as used in set notation: (a) (b) (c) (the prime symbol as in )
Question 10
4 marks · Normal
Answer and see the solution →The Venn diagram below represents sets and in the universal set .
Venn diagram showing sets X and Y within U. Each region labelled with numbers. (a)[1 mark]List the elements of set .
(b)[1 mark]List the elements of set .
(c)[1 mark]Write down the elements of .
(d)[1 mark]List the elements in that are not in or .