Geometry: past paper questions

Real questions on geometry

The newest 20 of 253 written questions. Open one to see it on the real paper.

1. 0980/11 · October/November 2025 · Q2a[1]

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

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2. 0980/11 · October/November 2025 · Q2b[1]
   [Diagram: A circle with centre $O$.] The diagram shows a circle, centre $O$. On the diagram (b) mark a point on the circumference and label it $C$.See it on the paper →
3. 0980/11 · October/November 2025 · Q3[1]
   3 [Diagram: A polygon with 6 sides] Write down the mathematical name of this polygon.See it on the paper →
4. 0980/11 · October/November 2025 · Q5[2]

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

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5. 0980/11 · October/November 2025 · Q12[3]

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

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6. 0980/11 · October/November 2025 · Q13b[1]
   13 The scale drawing shows the positions of town $A$ and town $B$. The scale is 1 centimetre represents 10 kilometres. [Diagram: A scale drawing with two points, $A$ and $B$. Each point has a vertical arrow pointing up labelled "North". Point $B$ is in the upper right area. Point $A$ is in the lower left area. Text "Sc...See it on the paper →
7. 0980/11 · October/November 2025 · Q13c[2]

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

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8. 0980/11 · October/November 2025 · Q15[3]
   [Diagram: A triangle $ABD$ with $AB$ and $BD$ marked as equal lengths. The angle at $D$ is labelled $x^{\circ }$. The line $AB$ is extended to $C$ such that $ABC$ is a straight line. The exterior angle at $B$, angle $DBC$, is labelled $140^{\circ }$.] $ABC$ is a straight line and $ABD$ is an isosceles triangle. Work out the...See it on the paper →
9. 0980/11 · October/November 2025 · Q27[3]
   [Diagram: A semicircle with a vertical radius line labelled 8 cm. NOT TO SCALE] The diagram shows a semicircle. The radius of the semicircle is 8 cm. Find the perimeter of the semicircle. Give your answer in terms of $\pi$ in its simplest form.See it on the paper →
10. 0980/21 · October/November 2025 · Q2[3]
    2 [Diagram: A triangle with vertices $A$, $B$, and $C$. A line extends from $A$ through $C$ and beyond. A line extends from $B$ through $C$ and beyond. The angle between the extension of $AC$ and the segment $CB$ is marked as $148^{\circ }$. The angle between the extension of $BC$ and the segment $AC$ is marked as $82^\ci...See it on the paper →
11. 0980/21 · October/November 2025 · Q3[2]
    3 Find the interior angle of a regular 20-sided polygon.See it on the paper →
12. 0980/21 · October/November 2025 · Q4[2]
    4 The area of a triangle is $12{\text{ cm}}^2$. The length of the base of the triangle is $8\text{ cm}$. Work out the height of the triangle.See it on the paper →
13. 0980/21 · October/November 2025 · Q12[4]
    12 The diagram shows a sector of a circle with centre $O$ and radius $9$ cm. [Diagram: A sector of a circle with centre $O$. The two straight edges (radii) are labelled $9$ cm. The arc connects the ends of the radii. The text "NOT TO SCALE" is present.] The perimeter of the sector is $(18+2\pi )$ cm. Find the area of...See it on the paper →
14. 0980/21 · October/November 2025 · Q14a[2]
    [Diagram: A circle with points $A,B,C,D,E$ on its circumference. Chords $AC$ and $BD$ intersect at point $X$. Angle $ACD$ is marked as $55^{\circ }$. Angle $CXD$ is marked as $88^{\circ }$. The diagram is labeled "NOT TO SCALE".] $A,B,C,D$ and $E$ lie on the circle. $AC$ and $BD$ intersect at $X$. Angle $ACD = 55^\cir...See it on the paper →
15. 0980/21 · October/November 2025 · Q14b(i)[2]
    [Diagram: A circle with points $A,B,C,D,E$ on its circumference. Chords $AC$ and $BD$ intersect at point $X$. Angle $ACD$ is marked as $55^{\circ }$. Angle $CXD$ is marked as $88^{\circ }$. The diagram is labeled "NOT TO SCALE".] $A,B,C,D$ and $E$ lie on the circle. $AC$ and $BD$ intersect at $X$. Angle $ACD = 55^\cir...See it on the paper →
16. 0980/21 · October/November 2025 · Q14b(ii)[1]
    [Diagram: A circle with points $A$, $B$, $C$, $D$, $E$ on its circumference. Chords $AC$ and $BD$ intersect at point $X$. Angle $ACD=55^{\circ }$. Angle $CXD=88^{\circ }$. Labelled "NOT TO SCALE".] $A$, $B$, $C$, $D$ and $E$ lie on the circle. $AC$ and $BD$ intersect at $X$. Angle $ACD=55^{\circ }$ and angle $CXD = 88^\ci...See it on the paper →
17. 0980/41 · October/November 2025 · Q1[1]
    1 A quadrilateral has • rotational symmetry of order 2 • two diagonals that are the only lines of symmetry. Write down the geometrical name of this quadrilateral.See it on the paper →
18. 0980/41 · October/November 2025 · Q3[2]

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

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19. 0980/41 · October/November 2025 · Q5a[2]

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

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20. 0980/41 · October/November 2025 · Q5b[1]
    [Diagram: A line segment with endpoints labelled $A$ and $B$] (b) Measure angle $ACB$.See it on the paper →

What examiners said

There were a high number of incorrect answers. Often the idea of the line of symmetry being a diagonal of the square did not seem to have been considered, as some drew a vertical or horizontal line on their diagram then offered no answer or shaded more than one square. Many seemed to be trying to find rotational symmetry instead of reflectional symmetry. The most common incorrect answer, which was...

— Examiner report, May/June 2025, 0980/22 Q1(a) (Cambridge)

Most candidates were able to score well on this question with answers within range, the most common being 4.5 or 4.55 found from measurements of 9 cm or 9.1 cm respectively. More able candidates clearly showed their calculation although for a small number this was incorrectly evaluated (e.g., by doubling to 18 rather than halving to 4.5). A very few measured accurately but then in halving their le...

— Examiner report, May/June 2025, 0980/22 Q2(a) (Cambridge)

Candidates found this part harder than part (a); about a third of them were unable to find the correct bearing. However, the most commonly seen answer was the correct bearing of 110°, whilst some less accurate candidates were still able to score the mark with an answer between 108° and 112°. Rather than from inaccurate measuring, the most commonly seen incorrect answers appeared to be from incorre...

— Examiner report, May/June 2025, 0980/22 Q2(b) (Cambridge)