Higher June 2019 Paper 1 Q5
5. When Jenna was measured recently she was 127 cm tall, correct to the nearest centimetre.
For safety reasons, the minimum height for a person to ride the Big Coaster at a funfair in the USA is 50 inches.
You are given:
20 inches = 50·8 cm.
(a) Using the information given, decide whether
it might possibly be safe, it is definitely safe, or it is definitely not safe
for Jenna to ride the Big Coaster.
Might possibly be safe ☐ Definitely safe ☐ Definitely not safe ☐
Show how you decide. [3]
it might possibly be safe, it is definitely safe, or it is definitely not safe
for Jenna to ride the Big Coaster.
Might possibly be safe ☐ Definitely safe ☐ Definitely not safe ☐
Show how you decide. [3]
(b)
(i) State an assumption that you have made in your answer to part (a). [1]
(ii) Comment on the effect that your assumption has had on your decision. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 50 inches = 127 cm | B2 | B1 for e.g. 50.8 + 50.8 + 25.4 |
| Might possibly be safe and use of the limit of accuracy e.g. ‘she could be only 126.9 cm tall’ or ‘Her height could be anywhere between 126.5 and 127.5.’ | B1 | NB bounds are not required, though could be used. Candidates must indicate they have interpreted the given limit of accuracy correctly in some way. Must not contain contradictions or errors. |
| Scheme | Marks | Comments |
|---|---|---|
| (b)(i) Valid assumption eg ‘Jenna has not grown since she was last measured’ or ‘Jenna is still 127 cm’ or Jenna has not had a growth spurt.’ or ‘Jenna is wearing the same shoes that she was when she was measured.’ | E1 | Any valid assumption that indicates that Jenna may no longer be the same height Not for comments assuming her height is 127 or a rounded version of this, as this is given information |
| (b)(ii) Valid impact based on their assumption and decision in part (a) e.g. ‘Jenna may now be definitely tall enough to ride.’ | E1 | Comments such as ‘My answer would be different’ are not acceptable |
| (5) |