0580.C1.2.04 — A∪B Union of A and B.: past paper questions

Real questions on 0580.c1.2.04 — a∪b union of a and b.

The newest 10 of 10 written questions. Open one to see it on the real paper.

1. 0980/21 · October/November 2025 · Q10a[1]
   $\mathcal{E}=\{n:n\text{ is an integer and }1⩽n⩽8\}$ $A=\{\text{factors of }12\}$ $B=\{\text{odd numbers}\}$ Find (a) $A\cap B$See it on the paper →
2. 0980/11 · October/November 2024 · Q19a[2]
   19 Jo asks some people if they own a car ($C$) and if they own a motorbike ($M$). 86 people own a car. 39 people own a motorbike. 7 people do not own a car and do not own a motorbike. [Diagram: A Venn diagram with a universal set box labelled $\mathcal{E}$. Two overlapping circles labelled $C$ and $M$. The region of...See it on the paper →
3. 0980/21 · October/November 2023 · Q14a[3]
   14 (a) [Diagram: A Venn diagram with a universal set $\mathcal{E}$ containing two overlapping sets $A$ and $B$. The region outside both sets contains the value 15. The region only in $A$ contains $5x$. The intersection of $A$ and $B$ contains $x+5$. The region only in $B$ contains $12-x$.] The Venn diagram shows inform...See it on the paper →
4. 0980/31 · October/November 2023 · Q9c(ii)[1]
   (c) There are 110 people in a group. $G=\{\text{ people who own gold jewellery }\}$ $S=\{\text{ people who own silver jewellery }\}$ 18 people own both gold jewellery and silver jewellery. 46 people own gold jewellery. 11 people own no gold jewellery and no silver jewellery. [Diagram: Venn diagram with universa...See it on the paper →
5. 0980/12 · May/June 2023 · Q13b[1]
   $\mathcal{E}=\{x:1⩽x⩽20\}$ $E=\{\text{even numbers}\}$ $M=\{\text{multiples of 5}\}$ (b) Find the elements in the set $E\cap M$.See it on the paper →
6. 0980/22 · May/June 2023 · Q6b[1]
   $\mathcal{E}=\{x:1⩽x⩽20\}$ $E=\{\text{even numbers}\}$ $M=\{\text{multiples of 5}\}$ (b) Find the elements in the set $E\cap M$.See it on the paper →
7. 0980/22 · May/June 2022 · Q16a[1]

   1-mark “Use” question — its maths and diagrams are best seen on the paper.

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8. 0980/22 · May/June 2021 · Q12b[1]

   1-mark question — its maths and diagrams are best seen on the paper.

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9. 0980/12 · May/June 2020 · Q16a[1]

   1-mark question — its maths and diagrams are best seen on the paper.

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10. 0980/22 · May/June 2020 · Q7[1]

    1-mark question — its maths and diagrams are best seen on the paper.

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What examiners said

The most common error made was to omit the 15 giving 5x + x + 5 + 12 − x = 52 leading to x = 7. Another common wrong answer was 47 from candidates assuming that the intersection was 52 and x + 5 = 52. Other responses came up with a correct equation but then made errors in solving it giving an incorrect value of x. Several candidates correctly obtained x = 4 but either they did not realise how to u...

— Examiner report, October/November 2023, 0980/21 Q14(a) (Cambridge)

Many candidates did well on this question. Although, some gave the total for G (46 or 64) and a smaller number gave other values from the diagram or variations of incorrect set notation. A common wrong answer was 1. This showed a misunderstanding of the Venn diagram and notation as they had counted how many numbers in the intersection rather than the number of people in the intersection.

— Examiner report, October/November 2023, 0980/31 Q9(c)(ii) (Cambridge)

Few fully correct responses were seen to this part. Responses which included 5 or 15 were common, as were responses which included just one of the two elements.

— Examiner report, May/June 2023, 0980/12 Q13(b) (Cambridge)