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 48 written questions. Open one to see it on the real paper.

1. 0980/11 · October/November 2025 · Q13a[2]
   13 The scale drawing shows the positions of town $A$ and town $B$. The scale is 1 centimetre represents 10 kilometres. [Diagram: Two separate points, $A$ and $B$, each with a vertical arrow pointing up labelled "North". The text "Scale: 1 cm to 10 km" is shown.] (a) Work out the actual distance from town $A$ to town $B...See it on the paper →
2. 0980/11 · October/November 2025 · Q22a[1]
   Chocolate cookies Makes 12 100 g flour 55 g butter 55 g sugar 20 g cocoa 1 egg (a) Sunita makes 24 chocolate cookies. Work out how much flour she needs. .................................................... g [1]See it on the paper →
3. 0980/11 · October/November 2025 · Q22b[2]
   [Diagram: A box containing a recipe titled "Chocolate cookies". The text reads: "Makes 12", "100 g flour", "55 g butter", "55 g sugar", "20 g cocoa", "1 egg"] (b) Albie has 28 g of cocoa. Does he have enough cocoa to make 18 cookies? Explain how you decide.See it on the paper →
4. 0980/21 · October/November 2025 · Q1[2]

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

   See it on the paper →
5. 0980/41 · October/November 2025 · Q5c(i)[1]
   (c) Triangle $ABC$ is a scale drawing of a field. [Diagram: A line segment with endpoints labelled $A$ and $B$] (i) The scale is $1:10000$. Find the actual distance from $A$ to $B$. Give your answer in kilometres.See it on the paper →
6. 0980/22 · May/June 2025 · Q20a[3]
   20 $y\propto \frac{1}{\sqrt{x}}$ (a) When $x=9$, $y=2$. Find the value of $y$ when $x=36$.See it on the paper →
7. 0980/42 · May/June 2025 · Q3[3]
   Mass of box $A$ : Mass of box $B$ = $4:7$ The mass of box $B$ is $2.4\text{ kg}$ more than the mass of box $A$. Calculate the mass of box $A$ and the mass of box $B$.See it on the paper →
8. 0980/11 · October/November 2024 · Q10a[1]
   10 (a) These are the first four terms of a sequence. 10 16 22 28 Write down the next term in the sequence.See it on the paper →
9. 0980/11 · October/November 2024 · Q10b[2]
   (b) The term to term rule for another sequence is multiply by 3 and subtract 1. The fourth term in the sequence is 68. Find the third term in the sequence.See it on the paper →
10. 0980/41 · October/November 2024 · Q4a(ii)[2]
    (a) Enzo, Rashid and Blessy each swim as many lengths of a swimming pool as they can in 15 minutes. The results are shown in the table. | Name | Number of lengths | | :--- | :--- | | Enzo | 11.25 | | Rashid | 18.75 | | Blessy | 20 | (ii) Write the ratio of the number of lengths each person swims in the form Enzo : R...See it on the paper →
11. 0980/12 · May/June 2024 · Q11a[2]
    11 These are the first four terms of a sequence. 23 17 11 5 (a) Write down the next two terms.See it on the paper →
12. 0980/12 · May/June 2024 · Q11b[29]

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

    See it on the paper →
13. 0980/32 · May/June 2024 · Q7b(ii)[4]
    The area of some land is in the ratio park : gardens : playground = 11 : 2 : 3. The park has an area of $4620{\text{ m}}^2$. (b) The park area of $4620{\text{ m}}^2$ is made up of paths and grassland. $18\%$ of the park area is paths. (ii) Seed for the grassland is sold in bags. The seed in one bag covers an area of $2...See it on the paper →
14. 0980/32 · May/June 2024 · Q7c[3]
    The area of some land is in the ratio park : gardens : playground = $11:2:3$. The park has an area of $4620{\text{ m}}^2$. (c) The owners of the land buy new equipment for the playground. They borrow $8500for4yearsatarateof$6.5\%$ per year compound interest. Calculate the amount they repay at the end of the...See it on the paper →
15. 0980/32 · May/June 2024 · Q7d[3]
    The area of some land is in the ratio park : gardens : playground = $11:2:3$. The park has an area of $4620{\text{ m}}^2$. (d) The café in the park sells water in bottles $A$, $B$ and $C$. [Diagram: Three water bottles labelled Bottle A, Bottle B, Bottle C with "NOT TO SCALE" text. Bottle A: 330 ml, $1.98. Bottle...See it on the paper →
16. 0980/42 · May/June 2024 · Q1a[2]
    (a) A fruit drink is made using $1.5$ litres of apple juice and $450$ millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.See it on the paper →
17. 0980/11 · October/November 2023 · Q18[2]
    18 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of $\frac{36.9+24.2}{3.8-1.2}$. You must show all your working.See it on the paper →
18. 0980/11 · October/November 2023 · Q21a(i)[1]
    21 (a) Write these numbers in standard form. (i) 45 000See it on the paper →
19. 0980/11 · October/November 2023 · Q21a(ii)[1]
    21 (a) Write these numbers in standard form. (ii) $0.0063$See it on the paper →
20. 0980/11 · October/November 2023 · Q21b[2]
    (b) Calculate $8.2\times 10^{-1}\times 150000$. Give your answer in standard form.See it on the paper →

What examiners said

Many candidates were successful in this question and realised the first step needed was to divide the difference of 2.4 kg by 3. A common error was to try to divide 2.4 kg by 11 or 4 or 7. Other errors included x + x + 2.4 = 11 before multiplying by 4 and 7. A few showed a correct method but made arithmetic errors in the processing.

— Examiner report, May/June 2025, 0980/42 Q3 (Cambridge)

Finding the next two terms was very well done and just getting one of the two was rare.

— Examiner report, May/June 2024, 0980/12 Q11(a) (Cambridge)

Finding the nth term was more demanding for a decreasing sequence. 6n was more often seen as part of the answer than –6n while 17, the first term, was often seen as part of the solution. Starting from an un-simplified form was often seen and occasionally left for full marks. However, poor attempts to simplify that lost a mark.

— Examiner report, May/June 2024, 0980/12 Q11(b) (Cambridge)