Higher June 2024 Paper 2 Q11
11 A map has a scale of \(\quad 1 : 20\,000\)
Two churches are 15 cm apart on the map.
Work out the actual distance between them.
Give your answer in kilometres. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(15 \times 20\,000 \div 100 \div 1000\) | M2 | oe full method eg \(300\,000 \div 100 \div 1000\) or \(0.2 \times 15\) or \(0.00015 \times 20\,000\) M1 one correct step eg \(15 \times 20\,000\) or 300 000 or \(20\,000 \div 100\) or 200 or \(20\,000 \div 1000\) or 20 or \(15 \div 100\) or 0.15 or \(15 \div 1000\) or 0.015 or \(100 \times 1000\) or 100 000 |
| 3 | A1 |
Additional guidance
| M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| M2 will usually be seen in stages eg \(20\,000 \div 100 = 200 \quad 200 \times 15 = 3000 \quad 3000 \div 1000\) | M2 |
| M1 may be seen embedded in more than one step (extra steps could be incorrect) eg \(15 \times 20\,000 \div 100\) or 3000 or \(15 \times 20\,000 \div 1000\) or 300 or \(20\,000 \div 100 \div 1000\) or 0.2 or \(15 \div 100 \div 1000\) or 0.00015 | M1 |
| Ignore their units for method marks |