Higher November 2023 Paper 2 Q25
25 Here are two square-based paving stones.
The stones are similar solids.
The price per cm\(^3\) is the same for both stones.
The price of the larger stone is £17.50
Work out the price of the smaller stone. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{25}{20}\) or \(\dfrac{5}{4}\) or 1.25 or \(\dfrac{20}{25}\) or \(\dfrac{4}{5}\) or 0.8 or (ratio of lengths is) 20 : 25 | M1 | oe |
| \(\left(\dfrac{25}{20}\right)^3\) or \(\left(\dfrac{5}{4}\right)^3\) or \(1.25^3\) or \(\left(\dfrac{20}{25}\right)^3\) or \(\left(\dfrac{4}{5}\right)^3\) or \(0.8^3\) or (ratio of volumes is) \(20^3 : 25^3\) | M1dep | oe eg \(\dfrac{125}{64}\) or 1.953125 or \(\dfrac{64}{125}\) or 0.512 oe eg \(4^3 : 5^3\) |
| \(17.5(0) \div 1.25^3\) or \(17.5(0) \times 0.8^3\) | M1dep | oe |
| 8.96 | A1 | SC2 34.18 |
Additional guidance
| Up to M2 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| \(17.5(0) \times 1.25^3\) or \(17.5(0) \div 0.8^3\) | M1M1M0A0 |
| \(1.25^2\) or \(0.8^2\) | M1M0M0A0 |