Foundation November 2021 Paper 3 Q27
27 The heel of a shoe exerts a pressure of 198 pounds per square inch.
Convert this pressure into kilograms per square centimetre.
Use
1 pound = 0.45 kilograms
1 square inch = 6.25 square centimetres [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(198 \times 0.45\) or 89.1 | M1 | |
| their \(89.1 \div 6.25\) | M1 | their 89.1 must come from a division or multiplication using 198 and 0.45 only |
| 14.256 or 14.26 or 14.3 | A1 | SC1 556.875 or 556.88 or 556.9 or 70.4 |
| Alternative method 2 | ||
| \(198 \div 6.25\) or 31.68 | M1 | |
| their \(31.68 \times 0.45\) | M1 | their 31.68 must come from a division or multiplication using 198 and 6.25 only |
| 14.256 or 14.26 or 14.3 | A1 | SC1 556.875 or 556.88 or 556.9 or 70.4 |
| Alternative method 3 | ||
| \(0.45 \div 6.25\) or 0.072 | M1 | |
| \(198 \times\) their 0.072 | M1dep | |
| 14.256 or 14.26 or 14.3 | A1 | SC1 556.875 or 556.88 or 556.9 or 70.4 |
| Alternative method 4 | ||
| \(6.25 \div 0.45\) or \(13.\dot{8}\) or 13.8(…) or 13.9 | M1 | |
| \(198 \div\) their \(13.\dot{8}\) | M1dep | |
| 14.256 or 14.26 or 14.3 | A1 | SC1 556.875 or 556.88 or 556.9 or 70.4 |
Additional guidance
| \(198 \times 0.45 \div 6.25\) oe | M1M1 |
| \(198 \times 0.45 \times 6.25\) (which gives 556.875) | M1M0 |
| \(198 \div 0.45 \div 6.25\) (which gives 70.4) | M0M1 |
| \(198 \div 0.45 \times 6.25\) (which gives 2750) | M0M0 |
| Do not allow \(6.25^2\) for 6.25 eg \(198 \div 6.25 \div 6.25\) | M0 |
| Ignore rounding or truncation after correct answer seen |