0580.C4.1.04 — parallel.: past paper questions

Real questions on 0580.c4.1.04 — parallel.

The newest 16 of 16 written questions. Open one to see it on the real paper.

1. 0580/12 · October/November 2025 · Q5a[2]

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

   See it on the paper →
2. 0580/12 · October/November 2025 · Q5b[1]
   5 The diagram is made from equilateral triangles. (b) Write down the order of rotational symmetry.See it on the paper →
3. 0580/12 · October/November 2025 · Q7a[1]
   A bag contains 8 discs numbered 1 to 8. A disc is picked at random from the bag. [Diagram: A probability scale from 0 to 1 with tick marks at intervals of 0.1, with a longer tick at 0.5] On the probability scale, draw an arrow ($\downarrow$) to show the probability that the number is (a) an even number, label the arr...See it on the paper →
4. 0580/12 · October/November 2025 · Q7b[1]
   7 A bag contains 8 discs numbered 1 to 8. A disc is picked at random from the bag. [Diagram: A horizontal probability scale line from 0 to 1, with tick marks at 0, 0.25, 0.5, 0.75, and 1.] On the probability scale, draw an arrow ($\downarrow$) to show the probability that the number is (b) 9, label the arrow BSee it on the paper →
5. 0580/13 · October/November 2025 · Q1b[1]

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

   See it on the paper →
6. 0580/41 · October/November 2025 · Q3[2]

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

   See it on the paper →
7. 0580/11 · May/June 2025 · Q18a[2]
   18 The diagram shows two straight lines intersecting two parallel lines. [Diagram: Two horizontal parallel lines intersected by two transversal lines. The top parallel line has an angle $y^{\circ }$ and an angle $x^{\circ }$ marked. The bottom parallel line has an angle $110^{\circ }$ and an angle $50^{\circ }$ marked. The interse...See it on the paper →
8. 0580/11 · May/June 2025 · Q18b[2]
   18 The diagram shows two straight lines intersecting two parallel lines. [Diagram: Two horizontal parallel lines with arrows on the right. Two straight lines intersect both parallel lines and each other. The top intersection on the upper parallel line has angles $y^{\circ }$ (top right) and $x^{\circ }$ (bottom left). The in...See it on the paper →
9. 0580/11 · May/June 2025 · Q18c[2]
   18 The diagram shows two straight lines intersecting two parallel lines. [Diagram: Two parallel horizontal lines intersected by two straight lines. The top parallel line has angles $y^{\circ }$ and $x^{\circ }$ marked. The bottom parallel line has angles $110^{\circ }$, $z^{\circ }$, and $50^{\circ }$ marked. The text "NOT TO SCALE"...See it on the paper →
10. 0580/21 · May/June 2025 · Q10a[1]
    [Diagram: A circle with centre $O$. Points $A$, $B$, and $C$ are on the circumference. A line $DE$ is tangent to the circle at $A$. Lines connect $A$ to $C$, $C$ to $B$, $A$ to $B$, $O$ to $A$, and $O$ to $C$. The angle $ACO$ is marked as $35^{\circ }$ and the angle $BCO$ is marked as $40^{\circ }$. The diagram is labelled "...See it on the paper →
11. 0580/21 · May/June 2025 · Q10b[1]
    A, B and C are three points on a circle, centre O. DE is a tangent to the circle at A. Angle $ACO=35^{\circ }$ and angle $BCO=40^{\circ }$. Find (b) angle $ABC$See it on the paper →
12. 0580/21 · May/June 2025 · Q10c[1]
    [Diagram: A circle with centre $O$. Points $A$, $B$, and $C$ are on the circumference. A line $DE$ is tangent to the circle at $A$. Lines connect $A$ to $C$, $A$ to $B$, $O$ to $C$, and $C$ to $B$. Angle $ACO$ is marked as $35^{\circ }$ and angle $BCO$ is marked as $40^{\circ }$. The diagram is labelled "NOT TO SCALE".] $A$,...See it on the paper →
13. 0580/21 · May/June 2025 · Q10d[1]
    [Diagram: A circle with centre $O$. Points $A$, $B$, and $C$ are on the circumference. A line $DE$ is tangent to the circle at $A$. Lines connect $A$ to $C$, $C$ to $B$, $A$ to $B$, $O$ to $A$, and $O$ to $C$. The angle $ACO$ is marked as $35^{\circ }$ and the angle $BCO$ is marked as $40^{\circ }$. The diagram is labeled "N...See it on the paper →
14. 0580/32 · February/March 2024 · Q1a[1]

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

    See it on the paper →
15. 0580/11 · October/November 2022 · Q19[2]

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

    See it on the paper →
16. 0580/12 · October/November 2021 · Q3[1]
    [Diagram: An angle formed by two rays meeting at a vertex, with an arc marking the angle between them.] Write down the mathematical name for this type of angle.See it on the paper →

What examiners said

Candidates were much more successful finding the value of x than giving the geometrical reason. Some used other incorrect geometrical reasons or mentioned angles in parallel lines but this is not sufficient for the mark.

— Examiner report, May/June 2025, 0580/11 Q18(a) (Cambridge)

Candidates were more successful with this part to find the value of z.

— Examiner report, May/June 2025, 0580/11 Q18(c) (Cambridge)

In this part of the question, candidates were asked to find angle AOC, which was the angle at the centre of the circle. This involved identifying that OA and OC were radii and therefore triangle AOC was isosceles. The missing angle was often correctly found by candidates. Where incorrect answers were seen, these generally involved working with the different angles in the question and also with 90°...

— Examiner report, May/June 2025, 0580/21 Q10(a) (Cambridge)