Higher November 2024 Paper 2 Q4
4 A map has a scale of \(\quad\) 1 : 4000
On the map, the distance from a station to a museum is 7 cm
Is the actual distance from the station to the museum more than 300 m?
Tick a box.
- Yes
- No
Show working to support your answer. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(7 \times 4000 \div 100\) or 280 | M2 | oe M1 \(7 \times 4000\) or 28000 or \(7 \div 100\) or 0.07 or \(4000 \div 100\) or 40 |
| 280 and No | A1 | oe eg 20 less and No |
| Alternative method 2 | ||
| \(300 \times 100 \div 4000\) or 7.5 | M2 | oe M1 \(300 \times 100\) or 30000 or \(300 \div 4000\) or 0.075 or \(100 \div 4000\) or 0.025 |
| 7.5 and No | A1 | |
| Alternative method 3 | ||
| \(300 \times 100 \div 7\) or 4285(.7…) or 4286 | M2 | oe M1 \(300 \times 100\) or 30000 or \(300 \div 7\) or [42.8, 42.9] or \(100 \div 7\) or [14.2, 14.3] |
| [4200, 4300] and No with M2 seen | A1 | |
| Alternative method 4 | ||
| \(7 \times 4000\) or 28000 | M1 | oe |
| \(300 \times 100\) or 30000 | M1 | oe |
| 28000 and 30000 and No | A1 | |
| Alternative method 5 | ||
| \(300 \div 4000\) or 0.075 | M1 | oe |
| \(7 \div 100\) or 0.07 | M1 | oe |
| 0.075 and 0.07 and No | A1 | |
Additional guidance
| M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| No may be indicated by selecting the box or a statement in the working lines | |
| No cannot be implied only by an inequality | |
| A correct value is sufficient to show working eg 280 and No (except in alt 3) | M2A1 |
| 20 less in alt 1 implies M2 |