Ages 12–13🧮 Mathematics5 verified questions on this shelf

Venn Diagrams and Counting Outcomes

Construct and interpret Venn diagrams with two or three sets to organise and count outcomes; use systematic listing and the product rule for counting to enumerate all possible outcomes of combined events

Try three questions

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Question 1 of 3

In a class of 30 students, 18 say they like football, 12 say they like cricket, and 5 say they like both sports. How many students like neither football nor cricket?

Question 2 of 3

In a school club of 50 members, 28 belong to the chess club (event A), 22 belong to the math club (event B), and 12 belong to both clubs. If one member is chosen at random, what is the probability that the member belongs to at least one of the two clubs (A ∪ B)?

Question 3 of 3

In a class of 30 students, 18 say they like football, 12 say they like cricket, and 6 say they like both sports. In a two‑circle Venn diagram, what number belongs in the region that shows students who like only cricket?

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.