Grade 10 Maths · Probability

Complete a Venn diagram

Fill in every part of a Venn diagram from the given facts, starting with the overlap, for example 5 do both, so 12 − 5 = 7 do maths only.

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Probability Grade 10 | Venn Diagram PracticeKevinmathscience

Venn Diagram Exam Question | Grade 11Kevinmathscience

Probability Grade 10 | Venn DiagramKevinmathscience

Probability - Drawing Venn DiagramsXL Education

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Question 11.1 · November 2024 · Paper 1 · National (DBE) · 3 marks

A certain number of learners are sitting for examinations in Mathematics (M), Tourism (T) and Geography (G). Total M=22, Total T=16, Total G=18. 5 sit for M and T but not G. 4 sit for M and G but not T. 3 sit for T and G but not M. 6 sit for only T. All learners sit for at least one.

11.1 Draw a Venn diagram to represent ALL the learners sitting for these examinations.(3)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: complete a venn diagram

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3. Question 9.1.2 · November 2025 · Paper 1 · Provincial · 3 marks
9.1 A and B are independent events. It is further given that:
• P(A) = 0,3
• P(B) = 0,6
9.1.2 Represent the information on a Venn diagram.(3)
Show the memo (3 ticks)Memo
1. ✓
  $0, 18$ Intersection: P(A and B) $= 0, 18$ $Memo diagram$
  1 mark · Complete a Venn diagram
2. ✓
  $0, 12$ and $0, 42$ A only: $0, 3 - 0, 18 = 0, 12$
  B only: $0, 6 - 0, 18 = 0, 42$
  1 mark · Complete a Venn diagram
3. ✓
  $0, 28$ Outside both: $1 - (0, 12 + 0, 18 + 0, 42) = 0, 28$
  1 mark · Complete a Venn diagram
4. Question 3.2.2 · September 2024 · Provincial · 4 marks
3.2 In a school of 70 Grade 10 learners, 32 learners take Economics (E), 43 take Mathematics (M) and 15 learners take neither of these two subjects. Let the number of learners who take both subjects be $x$ .
3.2.2 Draw a Venn diagram to illustrate the above information.(4)
Show the memo (4 ticks)Memo
1. ✓
  E only: 12E only: $32 - 20 = 12$
  1 mark · Complete a Venn diagram
2. ✓
  Both: 20Intersection (both E and M): $x = 20$
  1 mark · Complete a Venn diagram
3. ✓
  M only: 23M only: $43 - 20 = 23$
  1 mark · Complete a Venn diagram
4. ✓
  Neither: 15Outside both circles: $15$ (check: $12 + 20 + 23 + 15 = 70$ )
  1 mark · Complete a Venn diagram
5. Question 9.2.1 · November 2024 · Paper 1 · Provincial · 2 marks
9.2 At a certain high school, a survey was carried out on 110 learners, about their subject choices. The Venn diagram shows the results of the survey in terms of:

• Mathematics (M)
• Physical Sciences (P)
• Accounting (A)

Answer the questions that follow. $Diagram for question 9.2$
9.2.1 Show that $x = 8$ .(2)
Show the memo (1 tick)Memo
1. ✓
  Total minus the other regions $x = 110 - (26 + 9 + 12 + 4 + 24 + 15 + 12)$
  $= 8$
  2 marks · Complete a Venn diagram

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