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100s of Maths Questions on Union and Intersection
Set theory practice your students will actually finish. Union, intersection, complements, Venn diagrams, set-builder notation — every question is curriculum-aligned, fully answered, and ready to print, project, or assign.
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What's Included in the Union and Intersection Question Bank?
🔥Progressive Difficulty Levels
Hundreds of curriculum-aligned questions covering set notation, union (A ∪ B), intersection (A ∩ B), complements, subsets, and two- and three-set Venn diagrams — with worked solutions for every question.
🌍 Targeted Practice
Question formats span listing-method and set-builder notation, shading Venn diagrams, reading Venn diagrams to find probabilities, and word problems pulled from familiar contexts like surveys, sports, and subject selection.
💡Conceptual Understanding
Built for teachers running a full set theory unit. Use the bank as a lesson opener, exit ticket, homework set, revision pack, or topic test — without spending Sunday afternoon writing new questions.
Practice Questions
Practice Questions
Worked solutions for every question, so you can mark in minutes or hand them out as a self-checking revision set.
Engaging Exercises
Engaging Exercises
Three difficulty levels per concept — foundational set notation, two-set Venn diagrams, and three-set word problems — so the same lesson works for the whole class.
Differentiated Questions
Differentiated Questions
Mix and match across union, intersection, complements, and Venn diagram reading. Pull together a quick five-question warm-up or a full topic assessment in under a minute.
Access our union and intersection question bank today!
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What is covered in the union and intersection question bank?
Set notation, union, and intersection
Questions in this section build fluency with set notation before students touch a Venn diagram. They list elements, write sets in set-builder form, find the union (A ∪ B) and intersection (A ∩ B) of two or three sets, identify subsets, and find complements. Strong notation work here removes the most common mistake in later questions — students confusing ∪ and ∩ under pressure in an exam.
Venn diagrams: two-set, three-set, and shading
Set theory sits behind probability, logic, and data-analysis topics later in school, so the goal of this bank is fluency, not memorisation. Students see the same concept — say, the intersection of two sets — in listing form, in set-builder notation, on a Venn diagram, and inside a word problem. By the end of the bank they can move between representations without rewriting the question.
Word problems and applied set theory
The applied section gives students Venn diagram word problems they will recognise from senior maths and from real life: surveys with overlapping responses, students taking two electives, sports teams with shared players, and basic probability questions where the intersection determines the answer. Each question includes a worked solution that shows the diagram, the set notation, and the final calculation — the three things students need to write out in a full-mark exam response.
Explore the full range of questions and enhance your student's understanding of union and intersection with Tutero's question bank