0580.C4.1.15 — polygons.: past paper questions

Real questions on 0580.c4.1.15 — polygons.

The newest 11 of 11 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q4b[1]
   (b) A quadrilateral has • four equal sides • no right angles • opposite angles that are equal. Write down the mathematical name for this quadrilateral.See it on the paper →
2. 0580/23 · May/June 2026 · Q11[2]
   11 The interior angle of a regular polygon is $135^{\circ }$. Find the number of sides of this regular polygon.See it on the paper →
3. 0580/22 · October/November 2025 · Q16[4]
   [Diagram: A diagram showing two line segments $AB$ and $BD$ meeting at point $B$, and another line segment $BC$ originating from $B$. The angle between $BD$ and $BC$ is marked as $14^{\circ }$. The text "NOT TO SCALE" is present.] $AB$ and $BD$ are two sides of a regular 15-sided polygon. $AB$ and $BC$ are two sides of a...See it on the paper →
4. 0580/13 · May/June 2025 · Q2b[1]
   (b) Write down the mathematical term that describes two polygons that are the same shape and size.See it on the paper →
5. 0580/22 · February/March 2025 · Q10[5]
   [Diagram: Three regular polygons A, B, and C meet at a point. The interior angles are labelled $a^{\circ }$, $b^{\circ }$, and $c^{\circ }$. The diagram is marked NOT TO SCALE.] Three regular polygons $A$, $B$ and $C$ meet at a point. The interior angles of the polygons are in the ratio $a:b:c=3:4:5$. Show that polygon $C$ h...See it on the paper →
6. 0580/23 · May/June 2024 · Q18[3]
   [Diagram: A line segment $AV$ is horizontal. A line segment $VB$ extends upwards and to the right from $V$. A dashed line $VX$ extends horizontally to the right from $V$. The points are labelled $A$, $V$, $B$, and $X$.] The diagram shows two sides, $VA$ and $VB$, of a regular polygon. $AVX$ is a straight line. Angle $B...See it on the paper →
7. 0580/32 · February/March 2024 · Q1c[1]
   (c) The diagram shows a quadrilateral on a $1{\text{ cm}}^2$ grid. [Diagram: A quadrilateral drawn on a grid of $1{\text{ cm}}^2$ squares. The vertices are located at grid intersections. The bottom edge is horizontal with length 4 units. The left edge is vertical with length 3 units. The top edge slopes down from the top...See it on the paper →
8. 0580/42 · February/March 2023 · Q4a(i)[2]

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

   See it on the paper →
9. 0580/21 · October/November 2021 · Q10[2]
   10 A regular polygon has an interior angle of $174^{\circ }$. Find the number of sides of this polygon.See it on the paper →
10. 0580/21 · October/November 2021 · Q21[4]

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

    See it on the paper →
11. 0580/22 · October/November 2021 · Q10[2]

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

    See it on the paper →

What examiners said

This question had a large omission rate. Common incorrect answers included similar, identical and equal but there were also many cases where isosceles, regular polygon, square, equilateral, parallel and symmetry were given. The term congruent was not well known.

— Examiner report, May/June 2025, 0580/13 Q2(b) (Cambridge)

Most candidates achieved some success with this question with many candidates scoring full marks. It was very common to see both interior angles, 120 and 150, found correctly whilst the next stage of finding the number of sides was less well answered. A small number struggled with the arithmetic due to not simplifying 4 1440 their calculations before multiplying, for example 360 was sometimes work...

— Examiner report, February/March 2025, 0580/22 Q10 (Cambridge)

The most efficient method involved first solving the equation 11.5y + y = 180 to get the solution y = 14.4 then to find the number of sides using 360 14.4 = 25. The most common reason for not getting the correct answer was showing 14.4 in the working but not having a simple method to find the number of sides and giving 14.4 as the final answer. A smaller number of candidates gained credit for the...

— Examiner report, May/June 2024, 0580/23 Q18 (Cambridge)