0580.C1.4.05 — percentages.: past paper questions

Real questions on 0580.c1.4.05 — percentages.

The newest 20 of 80 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q5b[1]
   (b) Write $\frac{9}{10}$ as a percentage.See it on the paper →
2. 0580/11 · May/June 2026 · Q7a(i)[1]
   (a) Two fair 4-sided dice have faces numbered 1 to 4. The dice are thrown, and the numbers are multiplied to give a total. The table shows all the possible results. | | dice $B$ | | | | |---|---|---|---|---| | | $1$ | $2$ | $3$ | $4$ | | dice $A$ | $1$ | $1$ | $2$ | $3$ | $4$ | | | $2$ | $2$ | $4$ | $6$ | $8$ | | | $3...See it on the paper →
3. 0580/12 · May/June 2026 · Q2b[1]
   (b) Work out $50\%$ of $526$.See it on the paper →
4. 0580/12 · May/June 2026 · Q3a[1]
   3 (a) Write $35\%$ as a decimal.See it on the paper →
5. 0580/12 · May/June 2026 · Q3b[1]
   (b) Write $\frac{4}{5}$ as a percentage.See it on the paper →
6. 0580/12 · May/June 2026 · Q9b[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. (b) ................................ % of the students took less than 18 minut...See it on the paper →
7. 0580/12 · May/June 2026 · Q9c[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. (c) The slowest student took .................................... minutes long...See it on the paper →
8. 0580/23 · May/June 2026 · Q1[2]
   1 Write $30asapercentageof$120.See it on the paper →
9. 0580/23 · May/June 2026 · Q5a[1]
   Reem has a six-sided spinner numbered 1 to 6. Reem spins the spinner 50 times. Her results are shown in the table. | number on spinner | 1 | 2 | 3 | 4 | 5 | 6 | |---|---|---|---|---|---|---| | frequency | 8 | 7 | 5 | 9 | 12 | 9 | (a) Write down the relative frequency of the spinner landing on the number 4.See it on the paper →
10. 0580/23 · May/June 2026 · Q5b[1]
    Reem has a six-sided spinner numbered 1 to 6. Reem spins the spinner 50 times. Her results are shown in the table. | number on spinner | 1 | 2 | 3 | 4 | 5 | 6 | |---|---|---|---|---|---|---| | frequency | 8 | 7 | 5 | 9 | 12 | 9 | (b) Reem spins the spinner 200 times. Find how many of these 200 spins are expected to l...See it on the paper →
11. 0580/31 · May/June 2026 · Q10b[2]
    10 The table shows how 40 students travel to school. | type of transport | frequency | pie chart sector angle | | :--- | :--- | :--- | | bus | 8 | | | car | 15 | | | walk | 17 | | (b) Complete the pie chart.See it on the paper →
12. 0580/33 · May/June 2026 · Q11a(ii)[1]
    (a) The bar chart shows the number of hours Kim studies some subjects in one week. [Diagram: Bar chart with y-axis "number of hours" from 0 to 12 and x-axis categories History, Geography, Science, French, Music. Bars: History=6, Geography=12, Science=0, French=10, Music=7.] Kim studies these 5 subjects for a total of 4...See it on the paper →
13. 0580/42 · May/June 2026 · Q2a[1]
    2 A librarian records the number of books borrowed by each of 40 students. The frequency table shows the results. | number of books | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | frequency | 5 | 14 | 10 | 8 | 1 | 2 | (a) Find the mode.See it on the paper →
14. 0580/42 · May/June 2026 · Q2b[1]
    2 A librarian records the number of books borrowed by each of 40 students. The frequency table shows the results. | number of books | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | frequency | 5 | 14 | 10 | 8 | 1 | 2 | (b) Find the median.See it on the paper →
15. 0580/42 · May/June 2026 · Q12[3]
    12 A scientist records the mass of a radioactive substance at the same time each day. On 10 January, the scientist records a mass of 150 grams. Each day, the mass of the substance decreases by $5\%$. Find the date on which the scientist first records a mass of less than 96 grams.See it on the paper →
16. 0580/43 · May/June 2026 · Q2[1]
    2 Work out $55\%$ of $12.2$.See it on the paper →
17. 0580/03 · Specimen 2025 · Q16b(ii)[2]

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

    See it on the paper →
18. 0580/11 · October/November 2025 · Q9b[2]
    (b) Work out $15\%$ of 80.See it on the paper →
19. 0580/12 · October/November 2025 · Q6b[1]
    (b) Write $\frac{9}{100}$ as a percentage. .................................................... % [1]See it on the paper →
20. 0580/12 · October/November 2025 · Q6c[1]
    (c) Write $143\%$ as a decimal.See it on the paper →

What examiners said

This question about percentage increase proved difficult and demanding for most candidates. The most common successful method involved finding the increase (1 380), dividing by the original amount (18 400) and multiplying by 100. Common errors were dividing by the new amount (19 780), dividing correctly but not multiplying by 100 or using a trial and improvement method to attempt to find the perce...

— Examiner report, May/June 2025, 0580/31 Q23 (Cambridge)

This question was the second best well answered on the paper with virtually all candidates giving a correct answer.

— Examiner report, May/June 2024, 0580/11 Q1(b) (Cambridge)

This was a challenging question for many candidates as they divided by 56.40 instead of 48. Some candidates simply subtracted 48 from 56.40 and gave the answer 8.4 as the final answer or 8.4 per cent. Some divided 48 by 56.40 leading to 85 per cent and some went on to subtract this from 100 per cent to perhaps make it seem like a more likely answer.

— Examiner report, May/June 2024, 0580/13 Q16 (Cambridge)