0580.C4.1.12 — scale factor.: past paper questions

Real questions on 0580.c4.1.12 — scale factor.

The newest 13 of 13 written questions. Open one to see it on the real paper.

1. 0580/22 · February/March 2026 · Q7a[1]
   Line $L$ has equation $y=2$. (a) Find the equation of the line perpendicular to line $L$ that passes through the point $(-1,5)$.See it on the paper →
2. 0580/22 · February/March 2026 · Q7b[2]
   Line $L$ has equation $y=2$. (b) Find the coordinates of the point where line $L$ intersects the line $y=20-6x$.See it on the paper →
3. 0580/22 · February/March 2026 · Q8[2]
   8 Find the integer values of $x$ that satisfy $-3\le x<1$.See it on the paper →
4. 0580/22 · February/March 2026 · Q9[3]
   9 [Diagram: A trapezium with a vertical left side of length 21 cm, a vertical right side of length 15 cm, and a horizontal bottom side of length 8 cm. Right angles are marked at the bottom-left and bottom-right corners. The top side is a sloping line connecting the top of the left and right sides. The text "NOT TO SCAL...See it on the paper →
5. 0580/04 · Specimen 2025 · Q13b[4]

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

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6. 0580/04 · Specimen 2025 · Q13c[3]

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

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7. 0580/04 · Specimen 2025 · Q16a[3]

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

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8. 0580/42 · October/November 2025 · Q15a[3]
   [Diagram: A quadrilateral $ABCD$ with a diagonal $BD$. $AB=180\text{ m}$, $BD=300\text{ m}$, $CD=112\text{ m}$, and angle $\angle BDC=140^{\circ }$. The diagram is marked NOT TO SCALE.] The diagram shows a field, $ABCD$, in the shape of a quadrilateral. $BD$ is a straight path across the field. (a) Calculate $BC....See it on the paper →
9. 0580/42 · October/November 2025 · Q15b[3]
   [Diagram: A quadrilateral $ABCD$ with a diagonal $BD$. $AB=180\text{ m}$, $BD=300\text{ m}$, $DC=112\text{ m}$. Angle $BDC=140^{\circ }$. Labelled "NOT TO SCALE".] The diagram shows a field, $ABCD$, in the shape of a quadrilateral. $BD$ is a straight path across the field. (b) Calculate angle $DBC$.See it on the paper →
10. 0580/42 · October/November 2025 · Q15c[4]
    [Diagram: A quadrilateral $ABCD$ with vertices $A,B,C,D$. Side $AB$ is vertical with length $180\text{ m}$. Diagonal $BD$ has length $300\text{ m}$. Side $CD$ has length $112\text{ m}$. The angle $\angle BDC$ is marked as $140^{\circ }$. The diagram is labeled "NOT TO SCALE".] The diagram shows a field, $ABCD$, in the...See it on the paper →
11. 0580/32 · October/November 2022 · Q2b(i)[2]

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

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12. 0580/32 · October/November 2022 · Q2b(ii)[1]

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

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13. 0580/32 · October/November 2022 · Q2c[2]

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

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What examiners said

Comprehensive responses • Some candidates realised that the given y = 2 should be substituted into the line y = 20 – 6x and were able to solve the equation, showing clear working, to find both coordinates correctly. Limited responses • Some used the given y = 2 to write (k, 2) to obtain one correct coordinate and then stopped or showed no working for their incorrect value for the x-coordinate. •...

— Examiner report, February/March 2026, 0580/22 Q7(b) (Cambridge)

Comprehensive responses • Many candidates correctly listed all 4 integers in the given interval. Limited responses • Some candidates gave three of the four correct integers, with –3 being a common omission. • Some candidates did not realise that 0 was an integer. • A small number included 1 in their list. • Some candidates gave an answer of just one integer in the range, rather than all integers...

— Examiner report, February/March 2026, 0580/22 Q8 (Cambridge)

The majority of candidates measured and calculated the required distance correctly.

— Examiner report, October/November 2022, 0580/32 Q2(b)(i) (Cambridge)