0580.C1.1.08 — Identify and use: common factors.: past paper questions

Real questions on 0580.c1.1.08 — identify and use: common factors.

The newest 20 of 33 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q1b[1]
   From the list of numbers, write down | $1.694$ | $\sqrt{18}$ | $6$ | $6.666$ | $7$ | $\sqrt{225}$ | $25$ | $27$ | $39$ | $56$ | $1000$ | (b) a factor of 28See it on the paper →
2. 0580/23 · May/June 2026 · Q21a[1]
   21 (a) Simplify. $(\sqrt{0.1}{)}^2$See it on the paper →
3. 0580/33 · May/June 2026 · Q20a[2]
   20 The diagram shows a fair spinner. [Diagram: A hexagonal spinner divided into 6 equal sectors labelled 1, 2, 3, 4, 5, 6 in clockwise order starting from the top. An arrow points to sector 5.] Azra spins the spinner twice. (a) Complete the tree diagram. [Diagram: A tree diagram with two stages. The first stage branche...See it on the paper →
4. 0580/33 · May/June 2026 · Q20b[2]
   20 The diagram shows a fair spinner. [Diagram: A regular hexagon divided into 6 equal triangular sectors by lines from the center to each vertex. The sectors are numbered 1, 2, 3, 4, 5, 6 in clockwise order starting from the top. An arrow points from the center to the sector labeled 5.] Azra spins the spinner twice. (b...See it on the paper →
5. 0580/33 · May/June 2026 · Q22a[1]

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

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6. 0580/33 · May/June 2026 · Q22b(i)[2]
   (b) $\mathcal{E}=\{\text{A, B, E, H, M, O, Q, R, S, U}\}$ $X=\{\text{R, H, O, M, B, U, S}\}$ $Y=\{\text{S, Q, U, A, R, E}\}$ (i) Use this information to complete the Venn diagram. [Diagram: A Venn diagram with a rectangle labeled $\mathcal{E}$ containing two overlapping circles labeled $X$ and $Y$. The cir...See it on the paper →
7. 0580/22 · February/March 2026 · Q12a[1]
   12 (a) Write $230000$ in standard form.See it on the paper →
8. 0580/22 · February/March 2026 · Q12b[2]
   (b) Work out $(4.2\times 10^{32})-(4.2\times 10^{31})$. Give your answer in standard form.See it on the paper →
9. 0580/22 · February/March 2026 · Q12c[2]
   (c) Work out $(80\times 10^{50}{)}^{\frac{1}{3}}$. Give your answer in standard form.See it on the paper →
10. 0580/03 · Specimen 2025 · Q2[2]

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

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11. 0580/04 · Specimen 2025 · Q7a[1]

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

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12. 0580/04 · Specimen 2025 · Q7b[2]

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

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13. 0580/04 · Specimen 2025 · Q7c[3]

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

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14. 0580/11 · October/November 2025 · Q4a[2]
    4 (a) Write down all the factors of 24.See it on the paper →
15. 0580/12 · October/November 2025 · Q8[3]
    8 A number, $n$, is a factor of 144 and a multiple of 9. Find all the values for $n$.See it on the paper →
16. 0580/22 · October/November 2025 · Q2[1]
    Find **all** the common factors of 8 and 12.See it on the paper →
17. 0580/11 · May/June 2025 · Q4c[1]
    From the list of numbers, write down | 7 | 27 | 39 | 49 | 99 | 112 | (c) a factor of 56See it on the paper →
18. 0580/22 · May/June 2025 · Q4a[1]
    [Diagram: Seven cards in a row, each containing a number: 1, 2, 3, 4, 5, 6, 7] Samira picks one of these cards at random and replaces it. (a) Find the probability that she picks an odd number.See it on the paper →
19. 0580/22 · May/June 2025 · Q4b[1]
    Samira picks one of these cards at random and replaces it. (b) Samira repeats this 35 times. Calculate the number of times Samira is expected to pick an odd number.See it on the paper →
20. 0580/12 · February/March 2024 · Q13b[1]
    13 There are 20 cars in a car park and 3 of the cars are blue. (b) One of the 20 cars is picked at random. Find the probability that this car is not blue.See it on the paper →

What examiners said

Comprehensive responses • This was correctly answered by the majority of the candidates. Limited responses • A few did not multiply a power of 10 by a value between 1 and 10, for example a common incorrect answer was 23 104. • The most frequent error was to give a power of –5 rather than 5. • Other common incorrect answers were to miscount the number of zeros evident in answers such as 2.3 104.

— Examiner report, February/March 2026, 0580/22 Q12(a) (Cambridge)

Comprehensive responses • Many correctly amended the terms so that the powers of 10 were the same value in order to answer this question. • A small number factorised to form calculations such as 1031(4.2 10 – 4.2) or (4.2 1031) (10 – 1). Limited responses • Quite a few candidates made arithmetic errors when subtracting 0.42 from 4.2. • Sometimes the powers of 10 were not adjusted correctly, for e...

— Examiner report, February/March 2026, 0580/22 Q12(b) (Cambridge)

Some gave 112, a multiple of 56, not a factor. 49 was chosen sometimes perhaps as it is also in the 7 times table.

— Examiner report, May/June 2025, 0580/11 Q4(c) (Cambridge)