Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Sets 2
19 practice questions
Practice questions
1–7 of 7 · Easy
Question 1
1 mark · Easy
Answer and see the solution →List the members of the set {prime numbers less than 15}.
Question 2
1 mark · Easy
Answer and check →Which of the following is the empty set?
- A.{x : x is an odd number divisible by 2}
- B.{1, 3, 5}
- C.{x : x < 5, x ∈ ℕ}
- D.{a, b, c}
Question 3
3 marks · Easy
Answer and see the solution →The universal set is S = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let A = {1, 3, 5, 7, 9} and B = {3, 4, 5, 6}.
(a)[1 mark]List the set A ∩ B.
(b)[1 mark]Find n(A ∪ B).
(c)[1 mark]List the set (A ∪ B)′.
Question 4
3 marks · Easy
Answer and see the solution →Write these sets using set-builder notation:
(a)[1 mark]The set of natural numbers greater than 6.
(b)[1 mark]The set of all even numbers.
(c)[1 mark]The set of integers between −2 and 3 (inclusive).
Question 5
2 marks · Easy
Answer and see the solution →In a group of 25 students, 15 play football, 12 play basketball, and 5 play both sports. How many students play neither football nor basketball?
Question 6
3 marks · Easy
Answer and see the solution →Using the Venn diagram below, answer the questions that follow.
Venn diagram: Universal set S = {a, b, c, d, e, f, g}, A = {a, b, c, d}, B = {c, d, e, f}. Shaded region is the overlap of A and B. (a)[1 mark]List all the elements in A ∩ B.
(b)[1 mark]List the elements in A ∪ B.
(c)[1 mark]List the elements not in A or B.
Question 7
3 marks · Easy
Answer and see the solution →On the Venn diagram below, shade the region representing (A′ ∩ B).
(a)[2 marks]Shade the region for (A′ ∩ B) clearly on the diagram.
(b)[1 mark]Describe in words the region you shaded.