Higher November 2023 Paper 5 Q11
11
(a) Work out.
\(0.8 \div 0.004\) [1]
(b) A carpenter has a plank of wood of length \(w\) metres.
The carpenter cuts \(\frac{3}{5}\) of the plank of wood into 20 equal pieces.
Each piece has length 0.06 metres.
Work out the value of \(w\), the original length of the plank of wood.
You must show your working. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 200 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2 with correct working | 4 | Accept 200 cm with correct working “Correct working” requires evidence of at least M1A1M1 or alternate convincing approach | |
| M1 for 0.06 × 20 or 6 × 20 A1 for 1.2 oe or 120 [cm] M1 for (their 1.2) ÷ \(\frac{3}{5}\) oe | M1 may be done in steps e.g. 60% = 120 cm, 10% = 20 cm, 100% = 200 cm | ||
| OR M1 for \(\frac{3}{5} \div 20\) or \(20 \div \frac{3}{5}\) A1 for \(\frac{3}{100}\) or 0.03 or 33 or 33.3… M1 for 0.06 ÷ (their \(\frac{3}{5}\) ÷ 20) or 6 ÷ (their \(\frac{3}{5}\) ÷ 20) [cm] or 0.06 × (their 20 ÷ \(\frac{3}{5}\)) oe If 0 scored SC1 for answer 2 with no/insufficient working | Accept answer 200 cm | ||