0580.C1.11.01 — Understand and use ratio and proportion to: give ratios in their simplest form.: past paper questions

Real questions on 0580.c1.11.01 — understand and use ratio and proportion to: give ratios in their simplest form.

The newest 20 of 145 written questions. Open one to see it on the real paper.

1. 0580/12 · May/June 2026 · Q14[2]
   14 The total number of apples and oranges in a bowl is 20. The ratio apples : oranges = 7 : 3. Work out the number of apples.See it on the paper →
2. 0580/12 · May/June 2026 · Q24[3]
   24 A group of 4 children have a mean age of 11. A fifth child joins the group, and the mean age is now 10. Calculate the age of the fifth child.See it on the paper →
3. 0580/13 · May/June 2026 · Q15a[2]
   (a) In a restaurant the cost of a pizza is $25. The restaurant reduces the cost of the pizza to $19. Work out the percentage decrease in the cost.See it on the paper →
4. 0580/13 · May/June 2026 · Q15b[2]
   (b) In another restaurant, the cost of a pizza is $15. This restaurant adds a service charge of $10\%$ to each pizza. Find the cost of a pizza, including the service charge.See it on the paper →
5. 0580/23 · May/June 2026 · Q16[3]
   16 $y$ is inversely proportional to $x$. When $y=5$, $x=20$. Find $y$ when $x=4$.See it on the paper →
6. 0580/33 · May/June 2026 · Q11a(i)[2]

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

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7. 0580/42 · May/June 2026 · Q13[3]
   13 $y$ is inversely proportional to $x$. When $x=6$, $y=10.5$. Find $y$ when $x=9$. $y=$See it on the paper →
8. 0580/22 · February/March 2026 · Q5a[2]
   5 A theatre has 3 types of seating: stalls, circle or private box. The cost of a ticket for each type of seating is shown in the table. | type of seating | cost of a ticket | | :--- | :--- | | stalls | $30 | | circle | $24 | | private box | $72 | (a) Find the ratio of the cost of the tickets stalls : circle : private...See it on the paper →
9. 0580/22 · February/March 2026 · Q5b[3]
   A theatre has 3 types of seating: stalls, circle or private box. The cost of a ticket for each type of seating is shown in the table. | type of seating | cost of a ticket | | :--- | :--- | | stalls | $30 | | circle | $24 | | private box | $72 | (b) Arshad buys tickets for the theatre on a website. The website charges...See it on the paper →
10. 0580/22 · February/March 2026 · Q5c[3]
    A theatre has 3 types of seating: stalls, circle or private box. The cost of a ticket for each type of seating is shown in the table. | type of seating | cost of a ticket | | :--- | :--- | | stalls | $30 | | circle | $24 | | private box | $72 | (c) There are 1200 seats in the stalls. One evening, $\frac{5}{6}$ of the...See it on the paper →
11. 0580/22 · February/March 2026 · Q6[3]
    Nisha plays basketball. Here are some statistics about the number of points she has scored in her last 4 games: • The mean is 10. • The median is 13. • The range is 12. Find the number of points she scored in each of her last 4 games.See it on the paper →
12. 0580/32 · February/March 2026 · Q10b[1]
    10 The scale drawing shows the positions of two schools, $A$ and $B$. The scale is 1 centimetre represents 200 metres. [Diagram: Two points $A$ and $B$, each with a vertical arrow pointing up labelled "North". Text "scale: 1 cm to 200 m".] (b) Write the scale in the form $1:n$.See it on the paper →
13. 0580/32 · February/March 2026 · Q10c[1]
    10 The scale drawing shows the positions of two schools, $A$ and $B$. The scale is 1 centimetre represents 200 metres. [Diagram: Two vertical lines with arrows pointing up, each labelled "North" at the top. The left line has a point $A$ at its bottom. The right line has a point $B$ at its bottom. Text "scale: 1 cm to...See it on the paper →
14. 0580/32 · February/March 2026 · Q11a[2]
    11 Ede asks 40 students if they prefer to drink water, juice or milk. She represents the results on a pie chart. (a) The number of students who prefer milk is represented by a sector angle of $63^{\circ }$. Calculate the number of students who prefer milk.See it on the paper →
15. 0580/32 · February/March 2026 · Q11b[2]
    11 Ede asks 40 students if they prefer to drink water, juice or milk. She represents the results on a pie chart. (b) Twice as many students prefer water to juice. Calculate the sector angle that represents the number of students who prefer water.See it on the paper →
16. 0580/01 · Specimen 2025 · Q6[1]

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

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17. 0580/01 · Specimen 2025 · Q7[1]

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

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18. 0580/02 · Specimen 2025 · Q13[2]

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

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19. 0580/02 · Specimen 2025 · Q20[3]

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

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20. 0580/02 · Specimen 2025 · Q21a[1]

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

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What examiners said

Comprehensive responses • Most candidates correctly divided each term of the ratio by 6 or in stages by dividing by 2 and then by 3. • Division by 3 and by 2 was often more successful than a single division by 6. Limited responses • Some candidates indicated their intention to divide each term by 6, or in parts by 3 and by 2, then made an arithmetic error in one or more of the calculations, usual...

— Examiner report, February/March 2026, 0580/22 Q5(a) (Cambridge)

Comprehensive responses • Some candidates found the correct answer by forming equations with the unknowns and solving by use of algebraic techniques. For example, a + b + c + d = 40 → d – a = 12 → d = a + 12 Then b+c = 13 → b + c = 26 2 Substituting into the first equation a + 26 + a + 12 = 40 → a = 1 so d = 13 Reasoning b and c must be 13 and sum to 26 → b = 13 and c = 13 • Some candidates used s...

— Examiner report, February/March 2026, 0580/22 Q6 (Cambridge)

Comprehensive responses • Few responses were correct. Limited responses • Many candidates gave the scale 1 : 2 or 1 : 200. • Many candidates gave the distance AB for example 9.6 cm or 1920 m. • A significant number did not attempt this part.

— Examiner report, February/March 2026, 0580/32 Q10(b) (Cambridge)