0580.C1.11.03 — Understand and use ratio and proportion to: use proportional reasoning and ratios in.: past paper questions

Real questions on 0580.c1.11.03 — understand and use ratio and proportion to: use proportional reasoning and ratios in.

The newest 20 of 25 written questions. Open one to see it on the real paper.

1. 0980/41 · October/November 2024 · Q4a(i)[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 | (i) Find the number of lengths Enzo swims **as a percentage** of the total number of...See it on the paper →
2. 0980/41 · October/November 2024 · Q4b[3]
   (b) Another swimmer, Adam, swims $450\text{m}$, correct to the nearest $25$ metres. This takes $10$ minutes, correct to the nearest minute. Calculate the minimum distance Adam swims in one hour at this rate.See it on the paper →
3. 0980/12 · May/June 2024 · Q24[2]
   24 In a class of 30 students, 13 travel to school by bus. There are 570 students in the school. Find the expected number of students in the school who travel by bus.See it on the paper →
4. 0980/32 · May/June 2024 · Q2c(ii)[2]
   (c) The time, $T$ minutes, to cook a chicken with a mass of $m$ kg is $T=35m+20$. (ii) Find the mass of a chicken that takes 83 minutes to cook.See it on the paper →
5. 0980/11 · October/November 2023 · Q13a[1]
   13 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 ($)"from0to80000andy-axis"Valueofcar($)" from 0 to 10000. Points plotted at approximately (10000, 2500), (20000, 4200), (30000, 4800), (35000, 4500),...See it on the paper →
6. 0980/31 · October/November 2023 · Q5c[2]
   A railway line has three stations, Town, Port and Cove. Train $A$ leaves Town for Cove and train $B$ leaves Cove for Town. Both trains stop at Port. [Diagram: Distance-time graph. Y-axis: Distance from Town (km), marked 0, 5, 10, 15, 20, 25 with labels Town, Port, Cove. X-axis: Time, marked 14:00, 14:10, 14:20, 14:30,...See it on the paper →
7. 0980/31 · October/November 2023 · Q5d[1]
   A railway line has three stations, Town, Port and Cove. Train $A$ leaves Town for Cove and train $B$ leaves Cove for Town. Both trains stop at Port. [Diagram: Distance-time graph. Y-axis: Distance from Town (km), marked 0, 5, 10, 15, 20, 25. Labels: Town at 0, Port at 12.5, Cove at 25. X-axis: Time, marked 14:00, 14:10...See it on the paper →
8. 0980/31 · October/November 2023 · Q5e[3]
   A railway line has three stations, Town, Port and Cove. Train $A$ leaves Town for Cove and train $B$ leaves Cove for Town. Both trains stop at Port. [Diagram: Distance-time graph. Y-axis: Distance from Town (km) with labels Town (0), Port (12), Cove (24). X-axis: Time with labels 14:00, 14:10, 14:20, 14:30, 14:40, 14:5...See it on the paper →
9. 0980/22 · May/June 2023 · Q4[2]
   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. 0980/22 · May/June 2023 · Q19[3]
    19 $m$ is inversely proportional to the square of $(t+2)$. $m=0.64$ when $t=3$. Find $m$ when $t=8$.See it on the paper →
11. 0980/11 · October/November 2022 · Q17b[2]
    (b)   13,   17,   21,   25, … Find the $n$th term of this sequence.See it on the paper →
12. 0980/21 · October/November 2022 · Q23[3]
    23 $y$ is inversely proportional to $\sqrt{x}$ and $x$ is directly proportional to $w^2$. When $w=12$, $y=12$. Find $y$ in terms of $w$. $y=$See it on the paper →
13. 0980/31 · October/November 2022 · Q3a(ii)[2]
    Miguel works in an office. (a) It takes Miguel 40 minutes to drive to work. (ii) Miguel drives to work at an average speed of 57 km/h. Show that he drives 38 km.See it on the paper →
14. 0980/22 · May/June 2022 · Q18a[3]
    18 (a) $y$ is directly proportional to the cube root of $(x+1)$. When $x=7$, $y=1$. Find the value of $y$ when $x=124$.See it on the paper →
15. 0980/22 · May/June 2022 · Q18b[1]
    (b) $F$ is inversely proportional to the square of $d$. Explain what happens to $F$ when $d$ is halved.See it on the paper →
16. 0980/22 · May/June 2022 · Q22[2]
    [Diagram: A quadrilateral OABD with point D on the line segment AB. Vector $\overrightarrow{OA}$ is labelled $\mathbf{x}$. Vector $\overrightarrow{OB}$ is labelled $\mathbf{y}$. The diagram is marked "NOT TO SCALE".] $\overrightarrow{OA}=\mathbf{x}$, $\overrightarrow{OB}=\mathbf{y}$ and $\overrightarrow{OD} = \frac...See it on the paper →
17. 0980/21 · October/November 2021 · Q14[3]
    14 $y$ is inversely proportional to the square root of $(x-2)$. When $x=4.25$, $y=12$. Find $x$ when $y=3$.See it on the paper →
18. 0980/41 · October/November 2021 · Q1b[3]
    (b) 9000 bricks are needed to build a house. 200 bricks cost $175. Work out the cost of the bricks needed to build 5 houses.See it on the paper →
19. 0980/41 · October/November 2021 · Q1c[3]
    Saskia builds a wall using 1500 bricks. She can build at the rate of 40 bricks each hour. She works for 9 hours each day. Saskia starts work on 6 July and works every day until the wall is completed. (e) Find the date when she completes the wall.See it on the paper →
20. 0980/32 · May/June 2021 · Q1b[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. (b) The wages cost $47 500. Show that the total cost of land, materials and wages is $142 500.See it on the paper →

What examiners said

For a question towards the end of the paper this probability question was well answered. However, some did lose a mark by converting the probability to a decimal without sufficient figures for accuracy when multiplied by 570. Just looking at the figures in the question candidates should have realised the answer was going to be in the hundreds.

— Examiner report, May/June 2024, 0980/12 Q24 (Cambridge)

Those who gave a correct rearrangement in part (i) were often successful in getting to the answer of 1.8 here. A significant number of candidates returned to the original formula substituting T = 83, but then some did the same wrong first step of 83 = m + 20 or 83 + 20 = 35 m. A few gained marks for using their incorrect formula. Candidates not scoring in this part either did not have a suitable f...

— Examiner report, May/June 2024, 0980/32 Q2(c)(ii) (Cambridge)

Most candidates were able to identify the correct value of the car. Common errors arose from misreading the scale with answers such as 4400, 4900 and 48 000.

— Examiner report, October/November 2023, 0980/11 Q13(a) (Cambridge)