Higher November 2024 Paper 4 Q13
13 A water company is laying pipes to cover a distance of 37 metres, correct to the nearest metre.
Each pipe has a length of 2.3 metres, correct to 1 decimal place.
Assume the pipes are laid end to end with no gaps or overlaps.
Work out the minimum number of pipes the water company needs to be sure of covering that distance.
You must show your working. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 17 with correct working | 4 | B1 for 37.5 selected or 37.49[9…] B1 for 2.25 selected M1 for (36.5 to 37.5) ÷ (2.25 to 2.35) If 0 scored, instead award SC1 for an answer of 17 with no working or insufficient working or SC1 for either 36.5 and 37.49[9…]/37.5 or 2.25 and 2.349[9…]/2.35 | “Correct working” requires evidence of at least B1B1 alt. method B1 for 2.25 selected B1 for 37.5 selected M1 for 2.25 × 16 = 36 M1 for 2.25 × 17 = 38.25 Max. 3 marks unless the answer is 17 Note : 37 ÷ 2.3 = 16.08… with answer 17 scores M1 |