0580.C1.1.04 — Identify and use: express 72 as a product of its prime factors.: past paper questions

Real questions on 0580.c1.1.04 — identify and use: express 72 as a product of its prime factors.

The newest 20 of 36 written questions. Open one to see it on the real paper.

1. 0580/13 · May/June 2026 · Q8a[1]
   Ben asks some children to choose their favourite type of snack. The pie chart shows the results. [Diagram: A pie chart with sectors labelled fruit, sweets, nuts, crisps, chocolate. Angles shown: fruit $30^{\circ }$, chocolate $140^{\circ }$, nuts $20^{\circ }$. The angle for crisps is marked with a right-angle symbol.] (a) Meas...See it on the paper →
2. 0580/13 · May/June 2026 · Q9a[2]
   [Diagram: A circle with centre $O$. Points $A$, $B$, and $C$ are on the circumference. $D$, $A$, and $E$ are collinear on a tangent line at $A$. $B$, $O$, and $E$ are collinear on a straight line. Angle $CBE$ is marked as $x^{\circ }$. Angle $BOC$ is marked as $y^{\circ }$. Angle $AEB$ is marked as $35^{\circ }$. The line $BC$...See it on the paper →
3. 0580/13 · May/June 2026 · Q19a[2]
   19 (a) Write 84 as a product of its prime factors.See it on the paper →
4. 0580/22 · May/June 2026 · Q9a[2]
   9 (a) Write 63 as a product of its prime factors.See it on the paper →
5. 0580/33 · May/June 2026 · Q9a[1]
   The scale drawing shows the positions of three towns, $A$, $B$ and $C$. Town $B$ is directly south of town $A$. The scale is $1\text{ cm}$ represents $40\text{ km}$. [Diagram: A scale drawing showing three points $A$, $B$, and $C$. Point $A$ is at the top. A vertical line segment connects $A$ to $B$ directly below it...See it on the paper →
6. 0580/33 · May/June 2026 · Q9b[2]
   The scale drawing shows the positions of three towns, $A$, $B$ and $C$. Town $B$ is directly south of town $A$. The scale is $1\text{ cm}$ represents $40\text{ km}$. [Diagram: A scale drawing showing three points $A$, $B$, and $C$. Point $A$ is at the top. A vertical line segment connects $A$ to $B$ directly below it...See it on the paper →
7. 0580/33 · May/June 2026 · Q9c[2]

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

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8. 0580/33 · May/June 2026 · Q23[2]
   [Diagram: Two parallelograms. Left parallelogram $ABCD$ with side $AD=5\text{ cm}$. Right parallelogram $PQRS$ with side $PS=8\text{ cm}$ and side $PQ=14\text{ cm}$. Label "NOT TO SCALE".] $ABCD$ is mathematically similar to $PQRS$. Calculate $AB$.See it on the paper →
9. 0580/03 · Specimen 2025 · Q21b[3]

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

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10. 0580/03 · Specimen 2025 · Q22[3]

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

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11. 0580/22 · May/June 2025 · Q1a[1]

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

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12. 0580/22 · May/June 2025 · Q2a[2]
    The scale drawing shows the positions of two villages, $P$ and $Q$. The scale is $1\text{ cm}$ represents $0.5\text{ km}$. [Diagram: A scale drawing showing two points $P$ and $Q$ connected by a line segment. At point $P$, there is a vertical arrow pointing upwards labelled "North". At point $Q$, there is a vertical...See it on the paper →
13. 0580/22 · May/June 2025 · Q2b[1]
    The scale drawing shows the positions of two villages, $P$ and $Q$. The scale is $1$ cm represents $0.5$ km. [Diagram: A line segment connecting point $P$ to point $Q$. At $P$, a vertical arrow points up labelled "North". At $Q$, a vertical arrow points up labeled "North".] (b) Measure the bearing of village $Q$ from v...See it on the paper →
14. 0580/22 · May/June 2025 · Q3[3]
    [Diagram: Two parallel horizontal lines intersected by two straight lines. The top parallel line has an angle of $45^{\circ }$ on the left and $65^{\circ }$ on the right. The bottom parallel line has an intersection point where the two straight lines cross. The angle $x^{\circ }$ is between the two straight lines above the bott...See it on the paper →
15. 0580/23 · May/June 2025 · Q8a[2]
    8 (a) Write $42$ as a product of its prime factors.See it on the paper →
16. 0580/41 · October/November 2024 · Q1a[2]

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

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17. 0580/32 · February/March 2024 · Q6a(i)[2]
    (a) Town $S$ is $44\text{ km}$ from town $R$ on a bearing of $117^{\circ }$. (i) Using a scale of $1\text{ cm}$ represents $8\text{ km}$, mark the position of town $S$. [Diagram: A point $R$ with a vertical arrow pointing up labelled "North". Text "Scale: 1 cm to 8 km".]See it on the paper →
18. 0580/13 · May/June 2023 · Q5a[1]
    [Diagram: A horizontal rectangle divided into three equal parts by two vertical lines. The rightmost part is shaded grey.] (a) Complete the statement. The diagram has rotational symmetry of order ……………………See it on the paper →
19. 0580/13 · May/June 2023 · Q5b[2]

    2-mark “On the diagram, draw” question — its maths and diagrams are best seen on the paper.

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20. 0580/23 · October/November 2022 · Q10a[3]

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

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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, 0580/22 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, 0580/22 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, 0580/22 Q2(b) (Cambridge)