0580.C1.11.02 — Understand and use ratio and proportion to: divide a quantity in a given ratio.: past paper questions

Real questions on 0580.c1.11.02 — understand and use ratio and proportion to: divide a quantity in a given ratio.

The newest 19 of 19 written questions. Open one to see it on the real paper.

1. 0580/11 · May/June 2026 · Q14[4]
   14 A bag contains 45 balls. The balls are red or green. The balls are in the ratio red balls : green balls = $2:3$. Carlos puts 4 more red balls and $x$ more green balls into the bag. The balls are now in the ratio red balls : green balls = $1:2$. Find the value of $x$.See it on the paper →
2. 0580/31 · May/June 2026 · Q24[4]
   24 Ali drives 56 km at an average speed of 48 km/h. He then drives for 30 minutes at 54 km/h. Calculate the average speed for his whole journey.See it on the paper →
3. 0580/02 · Specimen 2025 · Q25[3]

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

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4. 0580/03 · Specimen 2025 · Q16a[3]

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

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5. 0580/03 · Specimen 2025 · Q16b(i)[1]

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

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6. 0580/11 · October/November 2025 · Q20[2]
   20 Some students take a test. 75 of the students pass the test. This is $\frac{3}{5}$ of the students who take the test. Work out how many students take the test.See it on the paper →
7. 0580/42 · October/November 2025 · Q16c[4]
   16 The histogram shows information about the masses of some coconuts. The masses are classified into four categories $A$, $B$, $C$ and $D$. [Diagram: Histogram with y-axis "Frequency density" (0 to 200) and x-axis "Mass (kg)" (0.9 to 1.6). Four bars: A from 0.9 to 1.1 with height 30; B from 1.1 to 1.2 with height 100;...See it on the paper →
8. 0580/31 · May/June 2025 · Q14[3]
   14 Tom needs $225$ g of flour to make $10$ cakes. A shop sells flour in $500$ g bags. Work out the number of bags of flour Tom needs to make $70$ cakes.See it on the paper →
9. 0580/32 · October/November 2024 · Q1[3]

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

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10. 0580/13 · May/June 2024 · Q14[2]
    14 The scale of a map is $1:40000$. On the map the distance between two villages is $37$ cm. Calculate the actual distance between the two villages. Give your answer in kilometres.See it on the paper →
11. 0580/31 · May/June 2024 · Q1a(i)[1]
    (a) The cost of a cinema ticket is $6.30$. (i) Work out the total cost of 4 tickets.See it on the paper →
12. 0580/12 · May/June 2023 · Q4b[2]
    Kai and Ava each have a piece of wood $57\text{ cm}$ long. (b) Ava cuts her piece into two parts and the lengths are in the ratio $5:1$. Find the length of the longer part.See it on the paper →
13. 0580/12 · May/June 2023 · Q11[2]
    11 The distance from town $A$ to town $B$ on a map is $3.5\text{ cm}$. The scale on the map is $1:250000$. Find the actual distance, in kilometres, from town $A$ to town $B$. ................................................ kmSee it on the paper →
14. 0580/13 · May/June 2023 · Q21a[2]
    A spinner has five sides. Each side is painted red, blue, green, yellow or orange. The table shows some of the probabilities of the spinner landing on each colour. | Colour | Red | Blue | Green | Yellow | Orange | | :--- | :--- | :--- | :--- | :--- | :--- | | Probability | 0.3 | 0.16 | 0.18 | 0.25 | | (a) Complete th...See it on the paper →
15. 0580/23 · May/June 2023 · Q6[2]
    6 At the end of the day, a shopkeeper has 12 tins of cat food left. This is $\frac{3}{13}$ of the number he had at the beginning of the day. Calculate the number of tins he had at the beginning of the day.See it on the paper →
16. 0580/22 · February/March 2020 · Q14a[1]

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

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17. 0580/22 · February/March 2020 · Q14b(i)[1]

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

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18. 0580/22 · February/March 2020 · Q14b(ii)[1]

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

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19. 0580/43 · October/November 2019 · Q1a[2]

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

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What examiners said

Most candidates who gained full marks worked out the amount of flour needed for 70 cakes and then divided this by 500 to work out the number of bags, correctly rounding 3.15 to 4. A significant number of candidates made errors by using 225 g of flour for each cake. Many candidates did not take into consideration that Tom could only buy whole bags of flour and gave decimal answers or rounded down i...

— Examiner report, May/June 2025, 0580/31 Q14 (Cambridge)

Candidates struggled to change between cm and km. B1 was often awarded for answers 1480, 148 or 1,480,000 (with no attempt to change to km). 40,000 ÷ 37 or 37 ÷ 40,000 were common incorrect attempts.

— Examiner report, May/June 2024, 0580/13 Q14 (Cambridge)

Nearly all candidates correctly calculated the cost of 4 tickets. The few wrong answers were $6.30 or $25 (rounding to 2 sig fig.).

— Examiner report, May/June 2024, 0580/31 Q1(a)(i) (Cambridge)