Higher November 2017 Paper 4 Q1

1 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]

Suggest one reason why he might not achieve this. [1]

Mark scheme (a)

Answer	Marks	Part marks and guidance
93 ÷ 3 or 31 or 100 ÷ 3 or 33.3.. or 55 ÷ 1.55 or 3300 ÷ 93 or 35.5 or 35.48… or 55 ÷ 93 or 0.6 or 0.59…	1	accept any correct method	e.g. 106.45 lengths in 55 mins
their31 × 100 or 3100 or their33.3... × 93 or their35.5 × 3	1
their3100 ÷ 60 soi by 51.6[6..] or 51.7 or 52 or 51[min] 40[sec] or 55 × 60 soi 3300 or 106[.5] or 106.45…	1
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

Mark scheme (b)

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

Response	Mark
It took an equal amount of time per length	1
He can swim the other lengths at the same speed	1
He took 31 seconds to swim each length	1 BOD
He didn’t stop for a break	1
Every 3 equals 93 sec – every 1 equals 31 sec	1 BOD
He could swim more lengths in under 55 minutes	0
He can swim exactly 3 lengths in 93 secs without losing a couple of seconds	0
Needs to swim faster	0
He swam 3 lengths in 1 min 33sec	0
He’s a quick swimmer	0
That he could/couldn’t do it	0
That 93 ÷ 3 = 31 and 100 × 31 = 3100 which is less than 55 min	0

Mark scheme (c)

Answer	Marks	Part marks and guidance
he will get tired/he will slow down/not take breaks	1	accept any correct statement	See appendices

Response	Mark
Runs out of breath	1
He gets tired/slower	1
He may need a break	1
He may 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
Not enough practice	0
He may take longer to swim 100 lengths	0
He’s not a good swimmer	0