Higher November 2021 Paper 1 Q9
9.
(a) Emily walks to school.
She measures her speed, \(s\), as 1·4 metres per second, correct to 1 decimal place.
Write an inequality to show the range of possible values for her speed. [2]
She measures her speed, \(s\), as 1·4 metres per second, correct to 1 decimal place.
Write an inequality to show the range of possible values for her speed. [2]
(b) After school, Emily goes to her grandmother’s house by car.
It takes 25 minutes to travel the 15 miles.
What is the average speed for the car journey?
Give your answer in miles per hour. [3]
………………………… mph
It takes 25 minutes to travel the 15 miles.
What is the average speed for the car journey?
Give your answer in miles per hour. [3]
………………………… mph
| Scheme | Marks | Comments |
|---|---|---|
| \(1.35 \leqslant s \lt 1.45\) | B2 | Allow e.g. \(1.35 \leqslant \text{speed} \lt 1.45\) or \(1.35 \leqslant x \lt 1.45\) B1 for sight of 1.35 and 1.45 or for appropriate sight of one of these in an inequality of the form \(\ldots \leqslant s \lt \ldots\) NB \(1.35 \leqslant 1.4 \lt 1.45\) is B1 only |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{15}{25} \times 60\) or equivalent | M2 | May be in stages; Accept a correct and complete build-up method for M2 e.g. 25 mins for 15 miles ÷5 ÷5 5 mins for 3 miles ×12 ×12 M1 for a correct distance ÷ time calculation e.g. \(\dfrac{15}{25}\) seen or for one correct stage in a build-up method e.g. 25 mins for 15 miles ÷5 ÷5 5 mins for 3 miles |
| 36 (mph) | A1 | |
| (5) |
Corrected by Westie's Workshop
- The board's mark scheme printed “distance ÷ speed”. Changed to “distance ÷ time” because speed is found by dividing distance by time, which is what the example \(\frac{15}{25}\) (miles ÷ minutes) does.
Original: see the board's mark scheme PDF (link above).