Foundation November 2021 Paper 3 Q14
14 A machine takes 4 seconds to fill a packet of crisps.
(a) In total, how many packets can 35 of these machines fill in 8 hours? [4 marks]
(b) Each packet of crisps contains 32.5 grams of crisps.
At what rate does a machine put the crisps into the packets?
Give your answer in grams per second. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 252 000 | B4 | B3 \(60 \times 60 \times 8 \div 4 \times 35\) oe B2 \(60 \times 60 \times 8 \div 4\) oe or 7200 or \(60 \times 60 \times 8 \times 35\) oe or 1 008 000 or \(60 \times 60 \div 4 \times 35\) oe or 31 500 or \(60 \times 8 \div 4 \times 35\) oe or 4200 B1 \(60 \times 60 \times 8\) oe or 28 800 or \(60 \times 60 \div 4\) oe or 900 or \(60 \times 60 \times 35\) oe or 126 000 or \(60 \times 8 \div 4\) oe or 120 or \(60 \times 8 \times 35\) oe or 16 800 or \(60 \div 4 \times 35\) oe or 525 or \(8 \div 4 \times 35\) oe or 70 |
Additional guidance
| B3, B2 and B1 may be awarded for correct work, with no or incorrect answer, even if this is seen amongst multiple attempts | |
| Condone additional incorrect operations for B3, B2 and B1 | |
| eg1 \(4 \times 60 \times 60 \times 8 \div 4 \times 35\) (\(\times\ 4\) is an incorrect operation) | B3 |
| eg2 \(60 \times 60 \times 8 \div 4 \times 35 = 252\,000\) and \(252\,000 \times 4 = 1\,008\,000\) | B3 |
| eg3 \(60 \times 60 \div 4 = 900\) and \(900 \times 480 = 432\,000\) and \(432\,000 \times 35\) indicates \(60 \times 60 \div 4 \times 35\) (\(\times\ 480\) includes an additional incorrect operation of \(\times\ 60\)) | B3 |
| eg4 \(35 \times 4 = 140\) and \(140 \times 60 \times 8\) indicates \(35 \times 60 \times 8\) | B1 |
| The operations may be in any order and may be fragmented eg \(8 \div 4 = 2\) and \(2 \times 35\) | B1 |
| An incorrect intermediate answer may be part of a correct set of operations eg \(60 \times 8 = 4800\) and \(4800 \div 4 = 1200\) and \(1200 \times 35\) | B2 |
| Answer | Mark | Comments |
|---|---|---|
| \(32.5 \div 4\) | M1 | oe |
| 8.125 | A1 | oe |
Additional guidance
| Accept 8.1 or 8.12 or 8.13 | M1A1 |
| Accept 8 with M1 seen | M1A1 |
| Ignore truncation or incorrect rounding after correct answer seen | M1A1 |