If A = {2, 4, 6, 8} and B = {4, 8, 12}, what is A ∩ B?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Sets Topical Past Papers.
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These Sets Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Number (E1.2) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Use set language, notation and Venn diagrams to describe sets and the relationships between them. Extended candidates work with up to three sets and a wider range of notation.
If A = {2, 4, 6, 8} and B = {4, 8, 12}, what is A ∩ B?
List the elements of A ∪ B if A = {1, 3, 5} and B = {2, 3, 7}.
[1 mark]ℰ = {x : x is an integer, 1 ⩽ x ⩽ 10}, A = {even numbers in ℰ}, B = {multiples of 3 in ℰ}.
List the elements of A ∩ B.
[1 mark]Find n(A ∪ B).
[1 mark]ℰ = {students in a class of 30}, F = {students who play football} with n(F) = 18, T = {students who play tennis} with n(T) = 12, n(F ∩ T) = 5.
How many students play NEITHER football NOR tennis?
[2 marks]Which symbol represents 'is a SUBSET of'?
In a survey of 60 people: 35 own a phone (P), 28 own a tablet (T), 20 own a laptop (L). 15 own a phone AND tablet, 12 own a phone AND laptop, 10 own a tablet AND laptop, 8 own all three.
Find n(P ∪ T ∪ L).
[2 marks]How many people own NONE of the three devices?
[1 mark]ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {prime numbers in ℰ}, B = {odd numbers in ℰ}. List the elements of A' ∩ B (i.e. odd numbers that are NOT prime).
[2 marks]Two sets satisfy A ⊂ B with n(A) = 7 and n(B) = 12. Find n(A ∪ B) and n(A ∩ B).
[2 marks]