How many Venn Diagrams practice questions are there?

There are 67 self-marking GCSE Maths questions on Venn Diagrams, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Venn Diagrams?

No. You can start practising Venn Diagrams straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Two-way tables and Venn diagrams

Venn Diagrams

67 self-marking GCSE practice questions on Venn Diagrams, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.

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Sample Venn Diagrams questions

A few of the 67 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 14 marksGrade 3
A Venn diagram shows students studying History (H) and Geography (G): 9 study only History, 13 study both, 5 study only Geography. There are 29 students in the tutor group. (a)(i) How many students do not study History or Geography? (a)(ii) How many students study History? (a)(iii) One student is selected at random. What is the probability they study Geography but not History?
Show the worked solution
(i) 29 − 9 − 13 − 5 = 2. M1 A1
(ii) Total studying History = 9 (only H) + 13 (both) = 22.

What are the common mistakes in Venn Diagrams?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Reports only the overlap region instead of the full combined total
Included numbers that are also in set B (the overlap) when counting "only A", instead of removing them first.
Adds the overlap region twice instead of once (or not at all) when combining two overlapping sets/events
Added the overlap region twice - once with each circle's total - instead of counting it once when combining "A or B".
Miscounts the size of the universal set by one
Miscounted how many whole numbers are in the universal set from 1 to n (an off-by-one error), which shifted the "neither" count.

Quick answers about Venn Diagrams

How many Venn Diagrams practice questions are there?: There are 67 self-marking GCSE Maths questions on Venn Diagrams, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Venn Diagrams?: No. You can start practising Venn Diagrams straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.