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 18 of 18 written questions. Open one to see it on the real paper.

1. 0580/12 · October/November 2025 · Q20b[1]
   $\mathcal{E}=\{1,2,3,4,5,6,7,8,9,10\}$ $A=\{1,3,5,7,9\}$ $B=\{1,3,6,10\}$ [Diagram: Venn diagram with universal set $\mathcal{E}$ containing two intersecting sets $A$ and $B$] (b) List the elements of $A\cap B$.See it on the paper →
2. 0580/13 · October/November 2025 · Q23a[1]

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

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3. 0580/21 · 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 →
4. 0580/23 · October/November 2025 · Q18a[1]
   18 Shade the region in each Venn diagram. (a) $(A\cap B{)}^{\prime }$ [Diagram: A Venn diagram with a universal set rectangle labelled $\mathcal{E}$, containing two overlapping circles labelled $A$ and $B$.]See it on the paper →
5. 0580/23 · October/November 2025 · Q18b[1]
   18 Shade the region in each Venn diagram. (b) $(C\cup D)\cap E^{\prime }$ [Diagram: A Venn diagram with a universal set rectangle labeled $\xi$. Inside are three overlapping circles labeled $C$, $D$, and $E$. Circle $C$ is on the left, circle $D$ is on the right, and circle $E$ is at the bottom. All three circles overlap in...See it on the paper →
6. 0580/31 · May/June 2025 · Q12a[1]
   12 The equation of line $L$ is $y=5x-3$. (a) Write down the gradient of line $L$.See it on the paper →
7. 0580/31 · May/June 2025 · Q12b[1]
   12 The equation of line $L$ is $y=5x-3$. (b) Write down the equation of a line parallel to line $L$. $y=$See it on the paper →
8. 0580/31 · May/June 2025 · Q26a[2]
   26 Li asks 28 students if they speak English ($E$) and if they speak Spanish ($S$). 15 students speak English. 12 students speak Spanish. 6 do not speak English and do not speak Spanish. [Diagram: A Venn diagram with a universal set box labelled $\mathcal{E}$ containing two overlapping circles labelled $E$ and $S$] (a)...See it on the paper →
9. 0580/31 · May/June 2025 · Q26b[1]
   26 Li asks 28 students if they speak English ($E$) and if they speak Spanish ($S$). 15 students speak English. 12 students speak Spanish. 6 do not speak English and do not speak Spanish. [Diagram: Venn diagram with universal set $\mathcal{E}$, two overlapping circles labelled $E$ and $S$] (b) Write down how many studen...See it on the paper →
10. 0580/21 · May/June 2024 · Q16a[1]

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

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11. 0580/41 · May/June 2024 · Q5a(iv)[2]
    5 (a) $P$ is the point $(1,7)$. $Q$ is the point $(5,-5)$. [Diagram: Coordinate plane with origin $O$, $x$ and $y$ axes. Point $P$ in the first quadrant, point $Q$ in the fourth quadrant. Label "NOT TO SCALE".] (iv) $PQ$ is the diameter of a different circle with centre $R$. Find the coordinates of $R$.See it on the paper →
12. 0580/41 · May/June 2024 · Q5a(v)[4]

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

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13. 0580/23 · May/June 2023 · Q11a[2]
    11 (a) $\mathcal{E}=\{a,b,e,g,l,m,o,r,t,y\}$ $P=\{a,b,e,g,l,r\}$ $Q=\{e,g,m,o,r,t,y\}$ [Diagram: A Venn diagram with a universal set rectangle labeled $\mathcal{E}$ containing two overlapping circles labeled $P$ and $Q$.] Complete the Venn diagram.See it on the paper →
14. 0580/23 · May/June 2023 · Q11b[1]

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

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15. 0580/11 · October/November 2022 · Q18b[1]
    [Diagram: A Venn diagram with a universal set $\mathcal{E}$ containing two overlapping circles $P$ and $Q$. The regions are labelled: $a,b,c$ in $P$ only; $d$ in $P\cap Q$; $e,f$ in $Q$ only; $g$ in $\mathcal{E}$ only.] The Venn diagram shows the elements of the sets $\mathcal{E}$, $P$ and $Q$. Complete the stateme...See it on the paper →
16. 0580/21 · October/November 2020 · Q19[1]

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

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17. 0580/21 · October/November 2019 · Q23[4]

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

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18. 0580/42 · February/March 2019 · Q9c(ii)[2]

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

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What examiners said

This question proved difficult for most candidates, with few able to give the gradient of line L as 5. Common errors were 5x, 8, 2 or –3. Many lower attaining candidates did not attempt the question.

— Examiner report, May/June 2025, 0580/31 Q12(a) (Cambridge)

Candidates found writing down the equation of a line parallel to line L equally challenging with few correct answers seen. A significant number of candidates did not attempt this question. Common wrong answers were y = 5x – 3, y = 3x + k and y = –3x.

— Examiner report, May/June 2025, 0580/31 Q12(b) (Cambridge)

Completing the Venn diagram was challenging for many candidates although most were able to gain one mark for placing the number 6 in the correct place. Most candidates put 15 and 12 in the E and S circle and left the intersection blank – not recognising that some of the students who speak English also speak Spanish and vice versa. Some candidates used tally marks and scored no marks.

— Examiner report, May/June 2025, 0580/31 Q26(a) (Cambridge)