Foundation November 2020 Paper 2 Q19
19 A scale drawing shows the positions of \(P\), \(Q\) and \(R\).
Not drawn accurately
On the scale drawing
\(PQ = 4\) cm \(QR = 6.5\) cm
The actual distance \(PQ\) is 50 metres less than the actual distance \(QR\).
Work out the scale. [3 marks]
Answer 1 cm represents .................... metres
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(6.5 - 4\) or 2.5 | M1 | |
| \(50 \div\) their 2.5 or \(50 \times 100 \div\) their 2.5 or 2000 | M1dep | oe |
| 1 cm represents 20 metres | A1 | |
| Alternative method 2 | ||
| 80 and 130 seen | M1 | |
| \(80 \div 4\) with 130 seen or \(130 \div 6.5\) with 80 seen | M1dep | oe eg \(20 \times 4 = 80\) with 130 seen |
| 1 cm represents 20 metres | A1 | |
Additional guidance
| In Alt 1, \(65 - 40\) unless recovered | M0 |
| In Alt 1, \(0.065 - 0.04\) unless recovered | M0 |
| In Alt 2, 0.08 and 0.13 unless recovered | M0 |