Higher November 2019 Paper 2 Q7
7 A car journey is in two stages.
| Stage 1 | The car travels 110 miles in 2 hours. |
|---|---|
| Stage 2 | The car travels 44 miles at the same average speed as Stage 1 |
Work out the time for Stage 2
Give your answer in minutes. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(110 \div 2\) or 55 or \(2 \div 110\) or 0.018(1…) or 0.0182 or \(44 \div 110\) or 0.4 or \(110 \div 44\) or 2.5 | M1 | oe |
| \(44 \div (110 \div 2)\) or 0.8 or \(\dfrac{4}{5}\) | M1dep | oe eg 2880 or calculation that would evaluate to 0.8 eg \(2 \div 110 \times 44\) or \(44 \div 110 \times 2\) or \(2 \div (110 \div 44)\) or \(\dfrac{110 + 44}{110 \div 2} - 2\) or \(2.8 - 2\) |
| 48 | A1 | |
| Alternative method 2 | ||
| \(110 \div 2 \div 60\) or 0.916… or 0.917 or 0.92 or \(2 \times 60 \div 110\) or 1.09(0…) or 1.091 | M1 | oe |
| \(44 \div (110 \div 2 \div 60)\) | M1dep | oe calculation that would evaluate to 48 eg \(44 \times 2 \times 60 \div 110\) |
| 48 | A1 | |
Additional guidance
| Ignore units for M marks eg 55 miles | M1 |
| Do not award A1 if premature approximation for 48 seen eg (Alt 1) \(0.018 \times 44 = 0.8\) Answer 48 (Alt 1) \(0.018 \times 44 = 0.792\) and \(0.792 \times 60 = 47.52\) Answer 48 (Alt 2) \(44 \div 0.917 = 48\) (Alt 2) \(44 \div 0.917 = 47.9\) Answer 48 (Alt 2) \(44 \times 1.09 = 48\) (Alt 2) \(44 \times 1.09 = 47.96\) Answer 48 | M2A1 M2A0 M2A1 M2A0 M2A1 M2A0 |
| 48 followed by answer 2 h 48 min | M2A0 |
| 48 followed by answer 168 min | M2A0 |
| Allow M1 even if not subsequently used | |
| Alt 1 Working in seconds leading to 2880 | M2 |