Higher November 2018 Paper 3 Q5
5 Lara is a skier.
She completed a ski race in 1 minute 54 seconds.
The race was 475 m in length.
Lara assumes that her average speed is the same for each race.
(a) Using this assumption, work out how long Lara should take to complete a 700 m race.
Give your answer in minutes and seconds. (3)
Give your answer in minutes and seconds. (3)
Lara’s average speed actually increases the further she goes.
(b) How does this affect your answer to part (a)? (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 2 mins 48 secs | P1 | for an appropriate first step eg \(700 \div 475\) (=1.47..) or \(475 \div\) [time] (= 4.16.. m/s) or [time] \(\div\ 475\) (= 0.24 s/m) |
| P1 | for a complete process to find the required time eg \(700 \div 475 \times\) [time] (=168) or \(700 \div (475 \div\) [time]\()\) (=168) or [time] \(\div\ 475 \times 700\) (=168) | |
| A1 | cao |
Additional guidance
[time] what candidate indicates as time of first race
Units are not needed and can be ignored if given
Allow calculation in stages and appropriate rounding.
| Answer | Mark | Mark scheme |
|---|---|---|
| Statement | C1 | eg takes less time Acceptable examples Quicker time Faster time Reduces my answer to part (a) Not acceptable examples It is an underestimate The amount of time could/may increase Laura goes faster |