0580.C4.1.09 — interior and exterior angles.: past paper questions

Real questions on 0580.c4.1.09 — interior and exterior angles.

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

1. 0580/13 · October/November 2025 · Q19[2]
   19 Find the number of sides of a regular polygon with interior angle $160^{\circ }$.See it on the paper →
2. 0580/13 · October/November 2025 · Q22[3]
   22 The diagram shows triangles $A$ and $B$. [Diagram: A Cartesian coordinate grid with $x$ and $y$ axes from 0 to 10. Triangle $A$ is a shaded triangle with vertices at $(1,1)$, $(3,1)$, and $(2,3)$. Triangle $B$ is an unshaded triangle with vertices at $(3,3)$, $(9,3)$, and $(6,9)$.] Describe fully the single transfor...See it on the paper →
3. 0580/23 · October/November 2025 · Q21[4]
   21 [Diagram: A circle containing a cyclic quadrilateral. The interior angles are labelled $y^{\circ }$ (top), $m^{\circ }$ (right), $(m+10{)}^{\circ }$ (bottom), and $p^{\circ }$ (left). The text "NOT TO SCALE" is present.] The diagram shows a cyclic quadrilateral. The ratio $p:m=2:3$. Find the value of $y$.See it on the paper →
4. 0580/32 · February/March 2023 · Q2a(i)[2]
   (a) Manjit asks 30 students whether they prefer joke books, puzzle books or poetry books. The results are shown in the table. | Type of book | Number of students | Pie chart sector angle | | :--- | :---: | :---: | | Joke | 8 | | | Puzzle | 18 | | | Poetry | 4 | | (i) Complete the table.See it on the paper →
5. 0580/32 · February/March 2023 · Q2a(ii)[2]

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

   See it on the paper →
6. 0580/11 · October/November 2022 · Q8[2]

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

   See it on the paper →
7. 0580/32 · February/March 2020 · Q3a(i)[1]

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

   See it on the paper →
8. 0580/32 · February/March 2020 · Q3a(ii)[1]

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

   See it on the paper →
9. 0580/32 · February/March 2020 · Q3c(i)[3]

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

   See it on the paper →
10. 0580/32 · February/March 2020 · Q3c(ii)[2]

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

    See it on the paper →

What examiners said

This part was generally answered well, with the majority of candidates able to find the correct three pie chart sector angles.

— Examiner report, February/March 2023, 0580/32 Q2(a)(i) (Cambridge)

This part on drawing the pie chart was generally answered well, although a small number of inaccurate angles and/or unruled lines were seen.

— Examiner report, February/March 2023, 0580/32 Q2(a)(ii) (Cambridge)

Many candidates answered this question correctly. There were a variety of methods with incorrect assumptions, for example, 180° – 71° = 109°, 180° – 71° – 71° = 38°, (180° – 71°) / 2 = 54.5°. Those who used the diagram to identify angles or showed workings were more likely to produce a correct answer or gain partial credit.

— Examiner report, October/November 2022, 0580/11 Q8 (Cambridge)