Foundation June 2024 Paper 3 Q13
13 Jane and Kofi both have the same number of newspapers to deliver.
By 8 am
- Jane has delivered 64% of her newspapers
- Kofi has delivered \(\dfrac{5}{8}\) of his newspapers.
(a) Who has delivered the greater proportion of their newspapers?
Show how you decide. [3]
Show how you decide. [3]
(b) Work out the smallest possible number of newspapers that Jane must deliver. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Jane and two correct values in the same form | 3 | Reminder: mark at most accurate Method 1 B2 for 64% and \(\frac{5}{8}\) correct in a common form or B1 for one correct conversion Method 2 Candidate chooses an integer amount of newspapers B2 for (64% and \(\frac{5}{8}\)) of their amount correct or B1 for (64% or \(\frac{5}{8}\)) of their amount correct If 0 scored, SC1 for correct judgement for their incorrect conversion(s) | Condone 0.62 and 0.63 and 62[%] and 63[%] Sufficient to see just 62.5[%] to make comparison e.g. \(\frac{128}{200}\) and \(\frac{125}{200}\) or 0.64 and 0.625 Condone bad form e.g \(\frac{12.8}{20}\) and \(\frac{12.5}{20}\) or 64 and 62.5 or 6.4 and 6.25 For B1: e.g. 0.625 or \(\frac{125}{200}\) or \(\frac{128}{200}\) or 62.5 You will need to check their figures Answers can be non-integer e.g. Chooses 70 64% = 44.8 \(\frac{5}{8}\) = 43.75 Allow accuracy sufficient to make judgement and condone truncation |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 200 | 2 | B1 for answer 100 or answer \(200n\) with \(n\) integer \(\gt 1\) | 400, 600, ... |