0580.C4.1.08 — acute, obtuse and reflex angles.: past paper questions

Real questions on 0580.c4.1.08 — acute, obtuse and reflex angles.

The newest 20 of 35 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q3a[1]
   [Diagram: An angle with vertex at the bottom left, formed by two rays. The angle is marked with an arc and labelled $a$.] (a) Measure angle $a$.See it on the paper →
2. 0580/11 · May/June 2026 · Q3b[1]
   [Diagram: An angle labelled $a$ formed by two rays meeting at a vertex, with an arc marking the angle.] (b) Write down the mathematical name for this type of angle.See it on the paper →
3. 0580/43 · May/June 2026 · Q8a[1]
   [Diagram: Two parallel horizontal lines with arrows pointing right. The top line contains points $A$ and $B$. The bottom line contains points $C$ and $D$. A straight line connects $A$ to $D$. A straight line connects $B$ to $C$. These two lines intersect at point $X$. The angle $ABX$ is marked as $y^{\circ }$. Label "NOT...See it on the paper →
4. 0580/43 · May/June 2026 · Q8b(i)[2]
   [Diagram: Two parallel horizontal lines. Top line has points A and B. Bottom line has points C and D. Straight line AD and straight line BC intersect at point X between the parallel lines. Angle ABX is marked as $y^{\circ }$. Label "NOT TO SCALE".] $AB$ and $CD$ are parallel lines. $AD$ and $BC$ are straight lines that in...See it on the paper →
5. 0580/02 · Specimen 2025 · Q17a(i)[1]

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

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6. 0580/02 · Specimen 2025 · Q17a(ii)[1]

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

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7. 0580/02 · Specimen 2025 · Q17a(iii)[1]

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

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8. 0580/43 · October/November 2025 · Q5a[3]
   (a) The diagram shows a regular decagon. $AB$ is a line of symmetry of the decagon. [Diagram: A regular decagon with vertices labelled $A$ and $B$ at opposite ends of a dashed line of symmetry. An angle $d^{\circ }$ is marked at vertex $A$ between the side of the decagon and the line of symmetry $AB$. The text "NOT TO SCA...See it on the paper →
9. 0580/43 · October/November 2025 · Q5b[1]
   (b) The exterior angle of a regular polygon with $n$ sides is $45^{\circ }$. Work out the value of $n$. $n=$See it on the paper →
10. 0580/13 · May/June 2025 · Q4a[1]
    4 The diagram shows a quadrilateral with sides of equal length. [Diagram: A quadrilateral with all four sides marked as equal length (tick marks). The bottom-left interior angle is labelled $a^{\circ }$ and the bottom-right interior angle is labelled $2a^{\circ }$. The text "NOT TO SCALE" is shown to the right of the figure....See it on the paper →
11. 0580/31 · May/June 2025 · Q2[1]
    2 An angle measures $157^{\circ }$. Write down the mathematical name for this type of angle.See it on the paper →
12. 0580/11 · May/June 2024 · Q4[1]
    4 Write down the order of rotational symmetry of a rhombus.See it on the paper →
13. 0580/11 · May/June 2024 · Q8[2]
    8 [Diagram: A cross-shaped polygon (a plus sign) formed by a central square with four identical rectangles attached to each of its sides.] Draw all the lines of symmetry on this shape.See it on the paper →
14. 0580/13 · May/June 2024 · Q5a[1]

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

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15. 0580/13 · May/June 2024 · Q5b[1]
    (b) [Diagram: A triangle] Write down the order of rotational symmetry of this shape.See it on the paper →
16. 0580/11 · October/November 2023 · Q1[1]

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

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17. 0580/11 · October/November 2023 · Q10[2]
    10 [Diagram: Two parallel horizontal lines, the top one labelled $A$ on the left and $B$ on the right, the bottom one labelled $C$ on the left and $D$ on the right. A triangle is formed between the lines with its top vertex on line $AB$ and its base on line $CD$. The interior angle at the top vertex is labelled $x^\cir...See it on the paper →
18. 0580/23 · May/June 2023 · Q1a[1]
    [Diagram: A horizontal rectangle divided into three equal parts, with the rightmost part shaded grey] (a) Complete the statement. The diagram has rotational symmetry of order ....................See it on the paper →
19. 0580/23 · May/June 2023 · Q1b[2]

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

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20. 0580/23 · May/June 2023 · Q8[3]
    [Diagram: A coordinate grid with $x$ and $y$ axes. Triangle $A$ is a shaded triangle with vertices at $(1,2)$, $(1,5)$, and $(3,5)$. Triangle $B$ is an unshaded triangle with vertices at $(2,-1)$, $(5,-1)$, and $(5,-3)$.] Describe fully the **single** transformation that maps triangle $A$ onto triangle $B$.See it on the paper →

What examiners said

Some candidates were able to identify the shape as a rhombus; common incorrect names given were parallelogram and trapezium.

— Examiner report, May/June 2025, 0580/13 Q4(a) (Cambridge)

This question was generally well answered with the majority recognising the type of angle as obtuse. Common incorrect answers were acute, reflex or right angle.

— Examiner report, May/June 2025, 0580/31 Q2 (Cambridge)

The most common wrong answer was 4 instead of 2. Also seen were 1, 5, 7, 12, 16, 180, 360 or a string of 4 or 5 numbers.

— Examiner report, May/June 2024, 0580/11 Q4 (Cambridge)