Foundation June 2017 Paper 1 Q11
11 320 people go on a coach trip.
Each coach holds 53 people.
Gary says 6 coaches are needed.
Is Gary correct?
You must show your working. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Identifying there are not enough coaches or too many people with correct justification | 2 | M1 for \(320 \div 53\) soi by 6.03[..] or \(53 \times 6\) soi by 318 or 2 or \(320 \div 6\) soi by 53.3 | No, he needs 7 coaches alone scores 0 See appendix |
Appendix
Exemplar responses for Q11
| Response | Mark |
|---|---|
| No – 6 coaches only hold 318 people which is 2 short | 2 |
| Gary needs an extra coach for the other 2 people | 2 |
| \(320 \div 6 = 53.3333\).. no you can’t split a person up into 3 parts, you will need 7 coaches | 2 |
| 320/53 = 6.03 No because it’s a decimal you need to round up not down | 2 |
| 53x6=318 Gary is not correct as 6 coaches will mean 2 people will not be aloud on the coaches | 2 |
| Gary is incorrect 6 coaches only hold 318 people so he needs 7 | 2 |
| 6 coaches hold 318 so there will be 2 people left | 2 bod |
| 320/53 = 6.03…. No he is wrong he will need more | 2 |
| Gary is correct 320/53 = 6.0 | 1 |
| 320/6=53.3 Not enough room one person will be left behind (in fact two people are left behind!) | 1 |