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HomeAQA GCSE MathematicsVenn diagrams and set notation in probability
AQA · GCSE · Mathematics

Venn diagrams and set notation in probability
Practice Questions

40 AQA GCSE Mathematics questions on Venn diagrams and set notation in probability, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Venn diagrams and set notation in probability.

Try 2 sample questions on Venn diagrams and set notation in probability

Question 1 · 1 mark · Difficulty 1/3

A bag holds 10 counters, 4 of which are red. What is the probability of picking a red counter at random?

  1. 4/6
  2. 10/4
  3. 1/4
  4. 4/10
Show answer & explanation
✓ Answer: D4/10
Award 1 mark. Probability is the number of favourable outcomes over the total number of outcomes, so it is 4 out of 10, which simplifies to 2/5.
Question 2 · 1 mark · Difficulty 1/3

On a Venn diagram of two overlapping sets, what does the overlapping region represent?

  1. The total number of elements
  2. The elements that are in neither set
  3. The elements that are in exactly one set
  4. The elements that are in both sets
Show answer & explanation
✓ Answer: DThe elements that are in both sets
Award 1 mark. The overlap is the intersection, and elements in neither set are written in the rectangle outside both circles.
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20 questions · 25 min · free

AQA GCSE Mathematics: Venn diagrams and set notation in probability FAQ

Is Kramizo free for AQA GCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Venn diagrams and set notation in probability practice with other Mathematics topics or even switch to a totally different AQA subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Venn diagrams and set notation in probability questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AQA paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from AQA.
How is Venn diagrams and set notation in probability typically tested on AQA GCSE Mathematics papers?
Venn diagrams and set notation in probability appears across multiple question types on real AQA GCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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