Foundation November 2023 Paper 2 Q15
15. Rhiannon cycled from her home to a park.
She cycled 15 miles along a straight road.
The graph shows her journey.
(a)
On her journey to the park, Rhiannon had a puncture.
How long did Rhiannon stop to repair the puncture? [1]
(b)
Rhiannon was, on average, travelling faster before she had a puncture than after she had a puncture.
Without calculating any speeds, explain how you can tell this from the graph. [1]
(c)
(i)
Rhiannon left the park at 11:30 and cycled back along the same road to a friend’s house that is 5 miles from her home.
This journey took 45 minutes.
Draw this journey on the graph. [1]
(ii)
Calculate the average speed of Rhiannon’s journey from the park to her friend’s house.
Give your answer in miles per hour. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 24 (minutes) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| A correct explanation that refers to the steepness of the lines e.g. ‘Before the puncture, the line was steeper.’ ‘After the puncture, the line was less steep.’ ‘The steeper the line the faster the speed.’ | E1 | Allow e.g. ‘Line is steeper.’ ‘The gradient is bigger.’ ‘It’s more of a vertical line.’ ‘The incline is greater.’ Do not accept e.g. ‘More miles in less time.’ ‘The line goes straight up.’ ‘It’s more uphill.’ |
| Scheme | Marks | Comments |
|---|---|---|
(i) The correct line drawn | B1 | |
| (ii) 10 ÷ 0.75 | M1 | Or equivalent e.g. 10 ÷ 3 × 4 Allow 10 ÷ 0.45 or 10 ÷ 45 for M1 |
| = 13(.3…) or \(13\frac{1}{3}\) or \(\frac{40}{3}\) (mph) | A1 | CAO If no marks, award SC1 for an answer of 20 (from 15 ÷ 0.75) OR 6.66.. or 6.7 (from 5 ÷ 0.75) |
| (5) |