0580.C4.1.01 — point.: past paper questions

Real questions on 0580.c4.1.01 — point.

The newest 20 of 55 written questions. Open one to see it on the real paper.

1. 0580/31 · May/June 2026 · Q9a(ii)[1]

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

   See it on the paper →
2. 0580/12 · February/March 2026 · Q10[3]
   [Diagram: A horizontal line with two triangles sitting on it. The left triangle has a top angle $a^{\circ }$, a bottom-left angle $b^{\circ }$, and a bottom-right angle $c^{\circ }$. The left side of the left triangle has an arrow mark. The right side of the left triangle is shared with the left side of the right triangle. The...See it on the paper →
3. 0580/22 · February/March 2026 · Q14[4]
   [Diagram: A polygon chain with vertices $A,B,C,D,E$ in order. At vertex $B$, the interior angle $\angle ABD$ is marked as $135^{\circ }$. A horizontal dashed line extends from $B$ to the right, passing below $C$ and through $D$. The angle between the segment $BC$ and this dashed line is marked as $x^{\circ }$. The label...See it on the paper →
4. 0580/22 · February/March 2026 · Q16b[1]
   [Diagram: A circle with centre $O$. Points $A,B,C,D,E$ lie on the circumference. A line $FG$ is tangent to the circle at $E$. Chords $AB,BC,CD,DE,EA$ are drawn. Chords $BE$ and $CE$ are drawn. Angle $ABE$ is marked $35^{\circ }$. Angle $CBE$ is marked $75^{\circ }$. Angle $CDE$ is marked $y^{\circ }$. Angle $AEF$ is mar...See it on the paper →
5. 0580/22 · February/March 2026 · Q16c[3]
   [Diagram: A circle with centre $O$. Points $A,B,C,D,E$ lie on the circumference. A line $FG$ is tangent to the circle at $E$. Chords $AB,BC,CD,DE,EA$ are drawn. Radii $OC$ and $OE$ are drawn. Angle $ABE$ is marked $35^{\circ }$. Angle $CBE$ is marked $75^{\circ }$. Angle $AED$ is marked $x^{\circ }$. Angle $CDE$ is mark...See it on the paper →
6. 0580/22 · February/March 2026 · Q17a[4]
   [Diagram: A right-angled triangle ABC with the right angle at B. The angle at C is $30^{\circ }$. The length of side BC is $12\text{ cm}$. The diagram is marked NOT TO SCALE.] (a) Find the length of $AC$. Give your answer in the form $a\sqrt{b}$.See it on the paper →
7. 0580/22 · February/March 2026 · Q17b[3]
   [Diagram: A right-angled triangle $ABC$ with the right angle at $B$. The side $BC$ is horizontal with length $12\text{ cm}$. The angle $ACB$ is $30^{\circ }$. The text "NOT TO SCALE" is present.] (b) Find the shortest distance from $B$ to $AC$.See it on the paper →
8. 0580/22 · February/March 2026 · Q18b[4]
   [Diagram: A cone with sloping edge 12 cm and radius $r$ cm, and a hemisphere with radius 4 cm. Labelled NOT TO SCALE.] The diagram shows a cone and a hemisphere. The cone has radius $r$ cm and sloping edge 12 cm. The hemisphere has radius 4 cm. The **total** surface area of the cone is equal to the **total** surface ar...See it on the paper →
9. 0580/22 · February/March 2026 · Q19b[4]
   Point $A$ has coordinates $(-4,3)$ and point $B$ has coordinates $(4,7)$. (b) Point $C$ has coordinates $(x,7)$ and $|\overrightarrow{AC}|=4\sqrt{10}$. Find the two possible values of $x$.See it on the paper →
10. 0580/03 · Specimen 2025 · Q9[2]

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

    See it on the paper →
11. 0580/11 · October/November 2025 · Q2a[1]

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

    See it on the paper →
12. 0580/11 · 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 →
13. 0580/11 · October/November 2025 · Q5[2]

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

    See it on the paper →
14. 0580/21 · 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 →
15. 0580/23 · October/November 2025 · Q3[1]
    3 The diagram shows a net for a dice. The dice has six faces numbered 1 to 6. The sum of each pair of opposite faces on the dice is 7. Write the missing numbers on the net. [Diagram: A net of a cube consisting of six squares arranged in a staggered pattern. The top square is empty. Below it, a row of two squares: the...See it on the paper →
16. 0580/23 · October/November 2025 · Q4[2]
    4 A rectangle measures $5$ cm by $19$ cm. [Diagram: A horizontal rectangle with top side labelled $19$ cm and left side labelled $5$ cm, marked NOT TO SCALE] Two of these rectangles are joined to make a shape. [Diagram: An L-shaped figure formed by a vertical rectangle and a horizontal rectangle joined at a corner, wit...See it on the paper →
17. 0580/23 · October/November 2025 · Q5[2]
    [Diagram: A rectangle $ABCD$ with $B$ top-left, $C$ top-right, $A$ bottom-left, $D$ bottom-right. An equilateral triangle $EFG$ is inside, with $E$ on the left side $AB$, $F$ on the top side $BC$, and $G$ on the bottom side $AD$. The angle between side $EF$ and the top edge $BC$ (at $F$, on the left) is $12^{\circ }$. The...See it on the paper →
18. 0580/23 · October/November 2025 · Q6a[1]

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

    See it on the paper →
19. 0580/23 · October/November 2025 · Q6b[1]

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

    See it on the paper →
20. 0580/23 · October/November 2025 · Q6c[1]
    6 The scatter diagram shows the value, in thousands of dollars, of ten paintings in 2005 and the value of the same paintings in 2025. [Diagram: Scatter diagram with x-axis "Value in 2005 ($thousands)"from0to100andy-axis"Valuein2025($ thousands)" from 0 to 200. Points plotted at approximately (10, 45), (20, 6...See it on the paper →

What examiners said

Comprehensive responses • Many candidates understood the properties of parallel lines and angles in a triangle and on a straight line and were able to identify the labelled angles correctly. Limited responses • The results for angles a and b were often the wrong way round while angle c was correct. This suggests that angles on a line and in a triangle were well understood however, some candidates...

— Examiner report, February/March 2026, 0580/12 Q10 (Cambridge)

Comprehensive responses • Many candidates showed an understanding of the formula for the total interior angles in a polygon. • Some candidates found the correct value of x = 15 by considering the triangle BCD. These generally went on to complete the question correctly. • Many candidates correctly used their value for x in a formula for the total interior angles in a polygon. 360 180( n − 2) • Usin...

— Examiner report, February/March 2026, 0580/22 Q14 (Cambridge)

Comprehensive responses • Some candidates gave a complete reason using the correct geometric language, including the terms ‘angle’, ‘centre’ and ‘circumference’. Limited responses • Many candidates did not use the correct geometrical language for ‘circumference’, instead using the words ‘edge’, ‘perimeter’ or ‘on the circle’. • Some candidates wrote down calculations rather than using geometrical...

— Examiner report, February/March 2026, 0580/22 Q16(b) (Cambridge)