0580.C4.1.14 — special quadrilaterals.: past paper questions

Real questions on 0580.c4.1.14 — special quadrilaterals.

The newest 8 of 8 written questions. Open one to see it on the real paper.

1. 0580/13 · May/June 2025 · Q2a[1]
   (a) Write down the mathematical name for an angle between $90^{\circ }$ and $180^{\circ }$.See it on the paper →
2. 0580/23 · May/June 2025 · Q13a[2]
   A, B, C and D are points on a circle. $EF$ is a tangential to the circle at $A$. $AB$ is parallel to $DC$. [Diagram: A circle with points $A,B,C,D$ on its circumference. A line $EF$ is tangent to the circle at $A$. Chords $AB,BC,CD,DA$ form a cyclic quadrilateral. Angle $EAD$ is marked as $35^{\circ }$. Angle $DAB$...See it on the paper →
3. 0580/23 · May/June 2025 · Q13b[2]
   [Diagram: A circle with points $A,B,C,D$ on its circumference. A line $EF$ is tangent to the circle at $A$. Chords $AB,BC,CD,DA$ are drawn. Angle $EAD$ is marked as $35^{\circ }$. Angle $DAB$ is marked as $60^{\circ }$. An arrow on chord $AB$ points towards $B$. An arrow on chord $DC$ points towards $C$. The text "NOT...See it on the paper →
4. 0580/23 · May/June 2024 · Q24[4]
   24 [Diagram: A triangular prism with vertices $A,B,C,D,V,W$. The base is $ABCD$. The cross-section is triangle $BCV$. $AB=15\text{ cm}$, $BC=5\text{ cm}$, $CV=4\text{ cm}$. Angle $BCV=90^{\circ }$.] The diagram shows a triangular prism with cross-section triangle $BCV$. Angle $BCV=90^{\circ }$, $BC = 5\text{ c...See it on the paper →
5. 0580/32 · February/March 2024 · Q1d(ii)[1]
   (d) [Diagram: A quadrilateral $DEFG$ with a straight line $FGH$. The vertices are labelled $D,E,F,G,H$. The interior angle at $E$ is $82^{\circ }$. The interior angle at $F$ is $103^{\circ }$. The interior angle at $G$ (angle $FGD$) is $143^{\circ }$. The angle between the line segment $GD$ and the extension of line $FG$ to...See it on the paper →
6. 0580/32 · February/March 2024 · Q1d(iii)[1]
   (d) [Diagram: A quadrilateral $DEFG$ with a straight line $FGH$. The vertices are labelled $D,E,F,G,H$. The interior angle at $E$ is $82^{\circ }$. The interior angle at $F$ is $103^{\circ }$. The interior angle at $G$ (angle $EGF$) is $143^{\circ }$. The exterior angle at $G$ (angle $DGH$) is $x^{\circ }$. The interior angle...See it on the paper →
7. 0580/22 · February/March 2020 · Q4[2]
   4 Find the interior angle of a regular polygon with 24 sides.See it on the paper →
8. 0580/12 · February/March 2019 · Q23a[1]
   The diagram shows a quadrilateral on a $1{\text{ cm}}^2$ grid. [Diagram: A quadrilateral drawn on a grid. The vertices are at grid intersections. The top vertex is at the top edge. The left and right vertices are at the same height, 2 units below the top. The bottom vertex is at the bottom edge, 5 units below the left/r...See it on the paper →

What examiners said

Candidates found both parts of this question difficult, however more were successful in the first part than the second. Common incorrect answers included right angle and acute angle.

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

Most responses gave the correct angle of 120°, but the reason was usually not acceptable, either because the word ‘cyclic’ did not accompany quadrilateral or candidates did not use the phrase ‘opposite angles’.

— Examiner report, May/June 2025, 0580/23 Q13(a) (Cambridge)

Of the candidates who did not answer this part correctly, some did not realise angle ABC = 60°, while a few were not able to deduce that angle ABD = 35°.

— Examiner report, May/June 2025, 0580/23 Q13(b) (Cambridge)