Foundation November 2017 Paper 1 Q16
16 Donald swims 3 lengths of a swimming pool in 93 seconds.
(a) Use this information to show that he could swim 100 lengths in under 55 minutes. [4]
(b) What assumption did you make in part (a)? [1]
(c) Donald tries to swim the 100 lengths in under 55 minutes.
Suggest one reason why he might not achieve this. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 93 \(\div\) 3 or 31 or 100 \(\div\) 3 or 33.3… or 55 \(\div\) 1.55 or 3300 \(\div\) 93 or 35.5 or 35.48… or 55 \(\div\) 93 or 0.6 or 0.59… | 1 | Accept any correct method | |
| Their 31 \(\times\) 100 or 3100 or their 33.3… \(\times\) 93 or their 35.5 \(\times\) 3 | 1 | ||
| their 3100 \(\div\) 60 soi by 51.6[6…] or 51.7 or 52 or 51[min] 40[sec] or 55 \(\times\) 60 soi 3300 or 106[.5] or 106.45… | 1 | e.g. 106.45 lengths in 55 mins | |
| 106.45 or 106[.5] > 100 or 51.6[6] or 51.7 or 52 or 51[min] 40[sec] < 55 or 31[00] < 33[00] or So he can swim that distance | 1 | Conclusion or comparison of correct values required | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| He swims at the same rate | 1 | Accept any correct statement e.g. he does not slow down, no breaks | See appendices |
Appendix
Exemplar responses for Q16(b)
| Response | Mark |
|---|---|
| It took an equal amount of time per length | 1 |
| He can swim the other lengths at the same speed | 1 |
| He didn’t stop for a break | 1 |
| He took 31 seconds to swim each length | 1 BOD |
| Every 3 equals 93sec – every 1 equals 31sec | 1 BOD |
| He could swim more lengths in under 55 minutes | 0 |
| He can swim exactly 3 lengths in 93 seconds without losing a couple of seconds | 0 |
| Needs to swim faster | 0 |
| He swam 3 lengths in 1min 33sec | 0 |
| He’s a quick swimmer | 0 |
| That he could/couldn’t do it | 0 |
| That 93 \(\div\) 3 = 31 and 100 x 31 = 3100 which is less than 55 min | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| He will get tired / he will slow down / not take breaks | 1 | Accept any correct statement | See appendices |
Appendix
Exemplar responses for Q16(c)
| Response | Mark |
|---|---|
| Runs out of breath | 1 |
| He gets tired/slower | 1 |
| He may need a break | 1 |
| He might not be able to swim that far | 1 |
| He would have to maintain a constant speed | 1 BOD |
| He may not keep going at the same speed (doesn’t say why) | 1 BOD |
| He may take longer to swim 100 lengths | 0 |
| He’s not a good swimmer | 0 |
| Not enough practice | 0 |