0580.C1.1.09 — Identify and use: find the lowest common multiple (LCM) of two.: past paper questions

Real questions on 0580.c1.1.09 — identify and use: find the lowest common multiple (lcm) of two.

The newest 20 of 60 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q16[3]
   16 Buses at a station go to Alve or to Riba. Buses leave every 16 minutes for Alve. Buses leave every 28 minutes for Riba. At 08 25 a bus for Alve and a bus for Riba leave the station together. Find the next time a bus for Alve and a bus for Riba leave the station together.See it on the paper →
2. 0580/12 · May/June 2026 · Q9a[1]
   The stem-and-leaf diagram shows the time, in minutes, it takes 20 students to eat lunch. | | | |---|---| | 0 | 7 8 9 | | 1 | 1 3 5 6 9 | | 2 | 3 4 5 5 7 8 8 9 | | 3 | 1 2 2 9 | key : $3|1$ represents 31 minutes Complete these statements. (a) ................................ students took between 10 and 30 minutes t...See it on the paper →
3. 0580/13 · May/June 2026 · Q19c[1]
   (c) Use your answers to 19(a) and 19(b) to find the lowest common multiple (LCM) of 84 and 96. Leave your answer as a product of prime numbers.See it on the paper →
4. 0580/22 · May/June 2026 · Q9b[2]
   (b) Find the lowest common multiple (LCM) of 63 and 42.See it on the paper →
5. 0580/23 · May/June 2026 · Q6[35]

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

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6. 0580/31 · May/June 2026 · Q16a[1]

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

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7. 0580/31 · May/June 2026 · Q16b[1]

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

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8. 0580/31 · May/June 2026 · Q16c(i)[1]

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

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9. 0580/33 · May/June 2026 · Q11b(ii)[1]
   (b) Some students take a history test. The scatter diagram shows the number of hours each student studies history and their test score. [Diagram: Scatter diagram with horizontal axis "number of hours" from 0 to 12 and vertical axis "test score" from 0 to 100. Points plotted at approximately (0.5, 18), (1, 30), (2.5, 27...See it on the paper →
10. 0580/33 · May/June 2026 · Q11b(iii)[1]

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

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11. 0580/33 · May/June 2026 · Q11b(iv)[1]
    (b) Some students take a history test. The scatter diagram shows the number of hours each student studies history and their test score. [Diagram: Scatter diagram with x-axis "number of hours" from 0 to 12 and y-axis "test score" from 0 to 100. Points plotted at approximately (0.5, 15), (1, 30), (2.5, 27), (3.5, 46), (4...See it on the paper →
12. 0580/32 · February/March 2026 · Q23[34]

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

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13. 0580/03 · Specimen 2025 · Q17c[1]

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

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14. 0580/13 · October/November 2025 · Q4[2]
    4 Ben records the favourite sport of each of 20 students. Football Cricket Hockey Rugby Football Tennis Rugby Football Football Rugby Tennis Football Rugby Football Cricket Football Rugby Football Cricket Cricket Complete the frequency table. You may use the tally column to help you. | Sport | Tally | Frequency | |-...See it on the paper →
15. 0580/42 · October/November 2025 · Q6[4]

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

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16. 0580/11 · May/June 2025 · Q22b[2]
    22 $A=2^3\times 3$ $B=3^2\times 5$ (b) Find the lowest common multiple (LCM) of $A$ and $B$.See it on the paper →
17. 0580/23 · May/June 2025 · Q14[2]
    14 Find the lowest common multiple (LCM) of $15x{y}^3$ and $18x^{4}y$.See it on the paper →
18. 0580/43 · May/June 2025 · Q1[1]
    1 Find the median of these numbers. 5 11 11 13 17 21See it on the paper →
19. 0580/23 · May/June 2024 · Q15a[2]
    [Diagram: A cumulative frequency diagram. The vertical axis is labelled "Cumulative frequency" with a scale from 0 to 200 in increments of 20. The horizontal axis is labelled "Time (seconds)" with a scale from 0 to 50 in increments of 10. A smooth S-shaped curve is plotted, starting at approximately $(10,0)$, passing...See it on the paper →
20. 0580/23 · May/June 2024 · Q15b[2]
    The time taken for each of 200 students to complete a calculation is measured. The cumulative frequency diagram shows the results. Use the diagram to find an estimate for (b) the number of students taking more than 40 seconds to complete the calculation.See it on the paper →

What examiners said

Comprehensive responses • Few candidates worked out the correct time. • Few found the lowest common denominator as their first step, and then generally went on to give the correct answer. • Some listed the times or multiples, and often had incomplete lists or arithmetic errors. Limited responses • A few added 30 and 34 mins to 0800 to give 0904. • A few made no attempt at this response.

— Examiner report, February/March 2026, 0580/32 Q23 (Cambridge)

Many did not attempt this. Of those who did attempt this, relatively few got a correct answer or a value that was worth a method mark. Often the answer was a factor from the given A or B.

— Examiner report, May/June 2025, 0580/11 Q22(b) (Cambridge)

This question was answered well; the most common error was to find the highest common factor 3xy. Candidates were able to get the lowest common multiple (LCM) of 15 and 18 but struggled to find the LCM of the algebraic parts.

— Examiner report, May/June 2025, 0580/23 Q14 (Cambridge)