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 17 of 17 written questions. Open one to see it on the real paper.

1. 0980/11 · 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 →
2. 0980/21 · October/November 2024 · Q4[2]
   Safia has a piece of fabric of length $5.6\text{ m}$. She cuts the fabric into two parts, with lengths in the ratio $3:4$. Calculate the length of the longer part.See it on the paper →
3. 0980/31 · October/November 2024 · Q5b(i)[1]
   (b) Arit, Luke and Marie share the cost of a taxi journey. The cost is $26.40$ . (i) Calculate how much Arit pays if they share the cost equally.See it on the paper →
4. 0980/42 · May/June 2024 · Q1b[3]
   (b) One litre of fruit drink is shared between three cups. The amount in the cups is in the ratio $9:6:10$. Calculate the number of millilitres in each cup.See it on the paper →
5. 0980/21 · October/November 2023 · Q6a[1]
   6 For each of 10 people working in an office, the scatter diagram shows their salary and the value of their car. [Diagram: Scatter diagram with x-axis 'Salary (${)}^{\prime }from0to80000andy-axi{s}^{\prime }Valueofcar($)' from 0 to 10000. Points plotted at approximately (10000, 2500), (18000, 4200), (28000, 4800), (30000, 4900), (...See it on the paper →
6. 0980/31 · October/November 2023 · Q9a[4]
   Pure gold costs $42 per gram. The fraction of pure gold in an object is measured in carats. One carat means $\frac{1}{24}$ of the mass of an object is pure gold. Henry buys a 9-carat gold bracelet weighing 16 g. The price of the bracelet is $204. Is the price of the bracelet more or less than the cost of the pure go...See it on the paper →
7. 0980/31 · October/November 2023 · Q9b[2]
   (b) A clock made of metals has a mass of $1080$ g. The mass of each metal in the clock is in the ratio copper : zinc : other metals = $21:14:1$. Calculate the mass of copper in this clock.See it on the paper →
8. 0980/12 · 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 →
9. 0980/12 · 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 $B$.See it on the paper →
10. 0980/31 · October/November 2022 · Q1c[2]
    Helga buys some items to do some knitting. (c) Helga knits some squares. Each square is either white, pink or blue. The number of squares are in the ratio white : pink : blue = 5 : 3 : 2. 30 squares are blue. Show that Helga knits 150 squares.See it on the paper →
11. 0980/32 · May/June 2022 · Q1a(iii)[2]
    Antonio has a shop near the beach. (iii) He buys tubs of ice cream for his shop in the ratio vanilla : chocolate = $11:7$. He buys 28 tubs of chocolate ice cream. Work out how many tubs of vanilla ice cream he buys.See it on the paper →
12. 0980/42 · May/June 2022 · Q1b[3]
    (b) Share $608intheratio$4:5:7.$See it on the paper →
13. 0980/31 · October/November 2021 · Q2b(iii)[2]
    (b) The theatre is used for performances of operas, plays, concerts and musicals. The pie chart shows information about the number of each type of performance. [Diagram: A pie chart with four sectors. The 'Operas' sector has an angle of $27^{\circ }$. The 'Concerts' sector has a right-angle symbol ($90^{\circ }$). The other...See it on the paper →
14. 0980/31 · October/November 2021 · Q2b(iv)[2]
    (b) The theatre is used for performances of operas, plays, concerts and musicals. The pie chart shows information about the number of each type of performance. [Diagram: A pie chart with four sectors. The 'Operas' sector has an angle of $27^{\circ }$. The 'Plays' sector has a right-angle symbol at the center. The other se...See it on the paper →
15. 0980/32 · May/June 2021 · Q1c(i)[2]
    Alex is building a house. The materials cost $1\frac{1}{2}$ times the cost of the land. The wages cost $1\frac{1}{4}$ times the cost of the land. (c) Work out the cost of (i) the land,See it on the paper →
16. 0980/32 · May/June 2021 · Q1c(ii)[1]
    Alex is building a house. The materials cost $1\frac{1}{2}$ times the cost of the land. The wages cost $1\frac{1}{4}$ times the cost of the land. (c) Work out the cost of (ii) the materials.See it on the paper →
17. 0980/42 · May/June 2021 · Q1b(ii)[2]
    (b) Henri buys some paint in the ratio red paint : white paint : green paint = $2:8:5$. (ii) Henri buys a total of 22.5 litres of paint. Find the number of litres of green paint he buys.See it on the paper →

What examiners said

Many gave the correct answer, a few wrote 48 000 giving an extra 0. Some misread the scale and wrote 5000, 4600 or 4000. Some drew a line of best fit and read off it by tracing $28 000 from the horizontal axis to their line.

— Examiner report, October/November 2023, 0980/21 Q6(a) (Cambridge)

Most candidates found this problem-solving question very challenging. However, many candidates did gain part marks by multiplying some of the correct numbers together. A small number of candidates omitted to identify which value was higher or did so incorrectly. Most candidates made more than one attempt at this question, often using the $204 in a second calculation and then comparing the wrong va...

— Examiner report, October/November 2023, 0980/31 Q9(a) (Cambridge)

The vast majority of candidates gained full marks. However, common errors included dividing by 21 instead of 36, or incorrectly working in percentages,

— Examiner report, October/November 2023, 0980/31 Q9(b) (Cambridge)